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Grades K-5
Joint-Usage Master Plan
enVisionMATHTM
Investigations IN NUMBER, DATA, AND SPACE®
First Edition
Plan 1 1 Designed for enVisionMATH users who would like to use some Investigations activities as additional
resources for an enVisonMATH topic
Plan 2 36 Designed for enVisionMATH users who would
like to teach an entire Investigations curriculum unit as
a replacement for some enVisonMATH topics
1
Introduction to Plan 1
Pearson Scott Foresman has developed a two-in-one Joint-Usage Master Plan for
enVisionMATH and Investigations in Number, Data, and Space® First Edition for
teachers who are interested in using both programs.
The Plan 1 section of this Joint-Usage Master Plan has been designed for teachers using
enVisionMATH as their core program who would like to use some Investigations Activities as
additional resources for an enVisionMATH topic.
Using Plan 1
Step 1 Turn to the Plan 1 Contents for your grade level:
_____________________________________________________________
Kindergarten Contents ............................................................. 2
Grade 1 Contents .................................................................... 7
Grade 2 Contents .................................................................... 13
Grade 3 Contents .................................................................... 19
Grade 4 Contents .................................................................... 25
Grade 5 Contents .................................................................... 30
_____________________________________________________________
Step 2 Locate the enVisionMATH topic you are about to teach.
Step 3 Identify the page where the related Investigations resources are listed.
Step 4 Turn to that page and choose the resources that best meet the needs of your students.
GRADE K
2 Grade K, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
Kindergarten Contents
Topic 1: Sorting and Classifying...................................................................... 3
Topic 2: Position and Location ........................................................................ 3
Topic 3: Patterns ............................................................................................ 3
Topic 4: Zero to Five ....................................................................................... 3
Topic 5: Six to Ten .......................................................................................... 4
Topic 6: Comparing Numbers.......................................................................... 4
Topic 7: Geometry .......................................................................................... 4
Topic 9: Measurement .................................................................................... 5
Topic 10: Addition........................................................................................... 5
Topic 11: Subtraction...................................................................................... 5
Topic 12: Larger Numbers .............................................................................. 5
Topic 13: Money ............................................................................................. 6
Topic 14: Time ................................................................................................ 6
Topic 15: Calendar.......................................................................................... 6
Topic 16: Graphing ......................................................................................... 6
GRADE K
3 Grade K, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 1: Sorting and Classifying Related Investigations Unit Counting Ourselves and Others (Exploring Data) Activities
Choice Time: Self Portraits, p. 25
Focus Time: Favorite Lunch Foods, p. 39
Focus Time: Sorting the Lunch Foods, p. 40 Choice Time: Boxes, Bottles, and Cans, p. 46
Choice Time: The Grocery Store, p. 48
Choice Time: Clothing Sort, p. 51
enVisionMATH Topic 2: Position and Location Related Investigations Unit Counting Ourselves and Others (Exploring Data) Activities
Choice Time: Same and Different, p. 44
Choice Time: Boxes, Bottles, and Cans, p. 46
Choice Time: The Grocery Store, p. 48 Choice Time: Clothing Sort, p. 51
enVisionMATH Topic 3: Patterns Related Investigations Unit Pattern Trains and Hopscotch Paths (Exploring Pattern) Activities
Focus Time: Can You Do What I Do?, p. 4
Choice Time: Making Patterns, p. 14 Choice Time: Patterns on the Pocket Chart, p. 27
Choice Time: Patterns with Color Tiles, p. 28
Choice Time: What Comes Next?, p. 32 Choice Time: Add On, p. 36
Choice Time: Break the Train, p. 38 Choice Time: Make a Train, p. 40
Focus Time: Making Hopscotch Paths, p. 50
Focus Time: Paper Hopscotch Paths, p. 52
enVisionMATH Topic 4: Zero to Five Related Investigations Unit Collecting, Counting, and Measuring (Developing Number Sense) Activities
Focus Time: Anno’s Counting Book, p. 5
Focus Time: Make-Your-Own Counting Books, p. 7
Choice Time: My Counting Book, p. 10
GRADE K
4 Grade K, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 5: Six to Ten Related Investigations Units Mathematical Thinking in Kindergarten (Introduction) Activities
Focus Time: Counting Jar, p. 28
Focus Time: Sharing How We Counted, p. 30
Collecting, Counting, and Measuring (Developing Number Sense) Activities
Focus Time: How Many Letters in Your Name?, p. 55 Choice Time: Focus Time: Making Name Towers, p. 57
Choice Time: Collect 10 Together, p. 64 Choice Time: Racing Bears, p. 74
Focus Time: Arranging Six Tiles, p. 81
Focus Time: My Six Tiles, p. 82 Choice Time: Books of Six, p. 86
Counting Ourselves and Others (Exploring Data) Activity
Choice Time: Pattern Block Grab, p. 30
enVisionMATH Topic 6: Comparing Numbers Related Investigations Units Collecting, Counting, and Measuring (Developing Number Sense) Activities
Choice Time: Grab and Count: Which Has More?, p. 44 Choice Time: Compare, p. 46
Focus Time: Grab and Count Compare, p. 62
How Many in All? (Counting and the Number System) Activity
Choice Time: Grab Two Handfuls, p. 40
enVisionMATH Topic 7: Geometry Related Investigations Unit Making Shapes and Building Blocks (Exploring Geometry) Activities
Focus Time: A Book About Shapes, p. 5
Focus Time: Planning a Class Book of Shapes, p. 6 Choice Time: Pattern Block Pictures, p. 14
Choice Time: Shape Mural, p. 17
Choice Time: Pattern Block Puzzles, p. 34 Focus Time: Describing Shapes, p. 62
Focus Time: Making Shapes with Clay, p. 64
Choice Time: Build a Block, p. 73 Focus Time: A Close Look at Geoblocks, p. 84
Choice Time: Geoblock Match-Up, p. 90
GRADE K
5 Grade K, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 9: Measurement Related Investigations Unit Collecting, Counting, and Measuring (Developing Number Sense) Activities
Focus Time: Using Towers to Compare and Measure, p. 38
Focus Time: How Did You Compare?, p. 40
Focus Time: Measuring Table, p. 42
enVisionMATH Topic 10: Addition Related Investigations Unit How Many in All? (Counting and the Number System) Activities
Choice Time: Inventory Bags, p. 20
Focus Time: Six Tiles in All, p. 33
Choice Time: Books of Six in All, p. 38 Choice Time: Towers of Six, p. 42
Focus Time: Stories That Involve Combining, p. 55
Focus Time: Acting Our Story Problems, p. 58 Choice Time: Double Compare, p. 63
Focus Time: Five Crayons in All, p. 77
Choice Time: Six Crayons in All, p. 82 Choice Time: Total of Six, p. 84
enVisionMATH Topic 11: Subtraction Related Investigations Unit How Many in All? (Counting and the Number System) Activities
Focus Time: Stories That Involve Separating, p. 56 Focus Time: Acting Our Story Problems, p. 58
enVisionMATH Topic 12: Larger Numbers Related Investigations Units Mathematical Thinking in Kindergarten (Introduction) Activities
Focus Time: How Many Are We?, p. 5 Focus Time: Making an Attendance Stick, p. 7
Counting Ourselves and Others (Exploring Data) Activities
Focus Time: Counting the Class, p. 5
Focus Time: Representing the count, p. 6 Focus Time: How Many Noses?, p. 17
Focus Time: How Many Eyes?, p. 19
Focus Time: Making a Class “Eye Chart”, p. 21 Choice Time: Counting Chairs, p. 28
Focus Time: How Many Are Here Today?, p. 79
How Many in All? (Counting and the Number System) Activity
Choice Time: Collect 15 Together, p. 17
GRADE K
6 Grade K, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 13: Money Related Investigations Unit Counting Ourselves and Others (Exploring Data) Activity
Choice Time: The Grocery Store, p. 48
enVisionMATH Topic 14: Time Related Investigations Unit Mathematical Thinking in Kindergarten (Introduction) Activities
Focus Time: Only Six More Days, p. 43
Focus Time: Our Calendar, p. 44
enVisionMATH Topic 15: Calendar Related Investigations Unit Mathematical Thinking in Kindergarten (Introduction) Activities
Focus Time: Only Six More Days, p. 43
Focus Time: Our Calendar, p. 44
enVisionMATH Topic 16: Graphing Related Investigations Unit Mathematical Thinking in Kindergarten (Introduction) Activities
Focus Time: Are You a Boy or a Girl?, p. 54 Focus Time: Looking at Our Data, p. 55
Focus Time: Adding Absent Students, p. 57
GRADE 1
7 Grade 1, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
Grade 1 Contents
Topic 1: Numbers to 12................................................................................... 8
Topic 2: Comparing and Ordering Numbers ................................................... 8
Topic 3: Understanding Addition .................................................................... 8
Topic 4: Understanding Subtraction ............................................................... 8
Topic 5: Five and Ten Relationships................................................................ 9
Topic 6: Addition Facts to 12 ......................................................................... 9
Topic 7: Subtraction Facts to 12 .................................................................... 9
Topic 8: Geometry ......................................................................................... 10
Topic 9: Patterns ........................................................................................... 10
Topic 10: Counting and Number Patterns to 100 ............................................ 10
Topic 11: Tens and Ones ................................................................................ 10
Topic 12: Comparing and Ordering Numbers to 100 ...................................... 11
Topic 13: Counting Money............................................................................... 11
Topic 14: Measurement ................................................................................. 11
Topic 15: Time ............................................................................................... 11
Topic 16: Addition Facts to 18 ....................................................................... 12
Topic 17: Subtraction Facts to 18 ................................................................... 12
Topic 18: Data and Graphs.............................................................................. 12
Topic 20: Adding and Subtracting with Tens and Ones ................................... 12
GRADE 1
8 Grade 1, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 1: Numbers to 12 Related Investigations Units Mathematical Thinking at Grade 1 (Introduction) Activities
Introducing Staircases, p. 34
A Story with a Growing Pattern, p. 100
Building Number Sense (The Number System) Activities
Quick Images, pp. 4 and 18 How Many Dots?, p. 29
Numbers on Our Fingers, p. 32
enVisionMATH Topic 2: Comparing and Ordering Numbers Related Investigations Units Mathematical Thinking at Grade 1 (Introduction) Activity
Compare, p. 26
Building Number Sense (The Number System) Activity
Compare Dots, p. 8
enVisionMATH Topic 3: Understanding Addition Related Investigations Unit Building Number Sense (The Number System) Activities
Making Sense of Combining, p. 116 Recording Combining Strategies, p. 118
Sharing Strategies, p. 120
Choice Time: Story Problems, p. 139 Sharing Story Problem Strategies, p. 142
Assessment Solving Story Problems, p. 160
enVisionMATH Topic 4: Understanding Subtraction Related Investigations Unit Building Number Sense (The Number System) Activities
Making Sense of Separating, p. 128 Recording Separating Strategies, p. 129
Sharing Separating Strategies, p. 130
GRADE 1
9 Grade 1, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 5: Five and Ten Relationships Related Investigations Units Building Number Sense (The Number System) Activity
Introducing Towers of 10, p. 68
Number Games and Story Problems (Addition and Subtraction) Activities
Quick Image Pictures of 10, p. 5
Introducing Total of 10, p. 17 Ten Crayons, p. 24
Sharing Combinations of 10, p. 37
enVisionMATH Topic 6: Addition Facts to 12 Related Investigations Units Mathematical Thinking at Grade 1 (Introduction) Activities
Seven Peas and Carrots, p. 43 Eleven Fruits: How Many of Each?, p. 92
Building Number Sense (The Number System) Activities
Twelve Cats and Dogs, p. 38 How Many of Each? Problems About Ten, p. 48
Assessment Three Towers , p. 75
Number Games and Story Problems (Addition and Subtraction) Activities
Quick Image Dot Combinations, p. 28
Crayon Puzzles, p. 30
Reading a Number Combination Book, p. 40 Creating Number Combination Stories, p. 42
Introducing Tens Go Fish, pp. 129 and 132
enVisionMATH Topic 7: Subtraction Facts to 12 Related Investigations Unit Building Number Sense (The Number System) Activities
Choice Time: Story Problems, p. 139 Sharing Story Problem Strategies, p. 142
Student Strategies, p. 143
Assessment Solving Story Problems, p. 160
GRADE 1
10 Grade 1, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 8: Geometry Related Investigations Unit Quilt Squares and Block Towns (2-D and 3-D Geometry) Activities
Drawing Classroom Objects, p. 7
Guess My Rule with Shape Cards, p. 43
Triangles on the Shape Cards, p. 48 Describing Geoblocks, p. 66
Choice Time: Geoblock Footprints, p. 67
Introducing Block Pictures, p. 74 Introducing Blocks in a Sock, p. 80
Looking at Mystery Boxes, p. 85
Hw Many Sides?, p. 86 Making Boxes with Cards, pp. 89 and 90
enVisionMATH Topic 9: Patterns Related Investigations Unit Mathematical Thinking at Grade 1 (Introduction) Activities
Cube Patterns, p. 62
Make Your Own Cube Pattern, p. 64 Clapping Patterns, p. 67
Same or Different, p. 69 Patterns Around Us, p. 73
enVisionMATH Topic 10: Counting and Number Patterns to 100 Related Investigations Units Mathematical Thinking at Grade 1 (Introduction) Activities
Collect 15 Together, p. 85
How Many Are Here Today?, p. 116
Building Number Sense (The Number System) Activities
Exploring the 100 Chart, p. 82
Introducing Counting Strips, p. 86
Clapping Patterns, pp. 106 and 163 A Counting Story, p. 110
Number Games and Story Problems (Addition and Subtraction) Activities
How Many Hands?, p. 50 Patterns in People and Hands, p. 59
Counting by Kangaroos, p. 98
enVisionMATH Topic 11: Tens and Ones Related Investigations Unit Number Games and Story Problems (Addition and Subtraction) Activity
Introducing Roll Tens, p. 88
GRADE 1
11 Grade 1, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 12: Comparing and Ordering Numbers to 100 Related Investigations Units Building Number Sense (The Number System) Activities
Double Compare, p. 53
Missing Numbers, p. 84
Number Games and Story Problems (Addition and Subtraction) Activities
Exploring the 100 Chart, p. 78 Missing Numbers, pp. 79 and 84
enVisionMATH Topic 13: Counting Money Related Investigations Unit Number Games and Story Problems (Addition and Subtraction) Activities
Exploring Coins, p. 64
Collect 25¢Together, p. 65
enVisionMATH Topic 14: Measurement Related Investigations Unit Bigger, Taller, Heavier, Smaller (Measuring) Activities
Introducing the Balance, p. 7
Who Sank the Boat?, p. 11
Introducing Balancing Grocery bags, p. 23 Introducing Balancing Balances, p. 24
How Can We Tell If It’s Balanced?, p. 28 Filling Cups: Experiment 1, p. 34
What Is a Cupful of Sand?, p. 36
Filling Cups: Experiment 2, p. 37 Which Is Longer?, p. 62
Measuring a Strip of Tape, p. 68
enVisionMATH Topic 15: Time Related Investigations Unit Survey Questions and Secret Rules (Collecting and Sorting Data)
Activities
When Is Your Birthday?, p. 56 How Many in Each Month?, p. 58
Whose Birthday Comes Next?, p. 64
Birthday Lineup, p. 66 A House for Hermit Crab, p. 70
Creating a Timeline, p. 72
GRADE 1
12 Grade 1, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 16: Addition Facts to 18 Related Investigations Unit Number Games and Story Problems (Addition and Subtraction) Activities
Making Sense of Combining, p. 112
Recording Combining Strategies, p. 105
Sharing Combining Strategies, p. 106 Choice Time: Story Problems, pp. 120, 131, and 144
Combining with Unknown Change, p.138
Assessment Solving Story Problems, p. 149
enVisionMATH Topic 17: Subtraction Facts to 18 Related Investigations Unit Number Games and Story Problems (Addition and Subtraction) Activities
Making Sense of Separating, p. 109
Recording Separating Strategies, p. 110
Sharing Separating Strategies, p. 111 Choice Time: Story Problems, pp. 120, 131, and 144
Assessment Solving Story Problems, p. 149
enVisionMATH Topic 18: Data and Graphs Related Investigations Units Mathematical Thinking at Grade 1 (Introduction) Activities
Quick Surveys, p. 119 Ways to get to School, p. 135
Collecting the Data, p. 136
Survey Questions and Secret Rules (Collecting and Sorting Data) Activities
Would You Rather Be an Eagle or a Whale, p. 34
Representations of Eagle and Whale Data, p. 36
When Is Your Birthday?, p. 56 How Many in Each Month?, p. 58
Signing In, p. 90
A Most Unusual Day, p. 92 Representing a Most Unusual Day, p. 94
enVisionMATH Topic 20: Adding and Subtracting with Tens and Ones Related Investigations Unit Number Games and Story Problems (Addition and Subtraction) Activities
Making Sense of Combining, p. 102
Recording Combining Strategies, p. 104 Sharing Combining Strategies, p. 106
Making Sense of Separating, p. 109 Recording Separating Strategies, p. 110
Sharing Separating Strategies, p. 111
Choice Time: Story Problems, pp. 120, 131, and 144 Assessment Solving Story Problems, p. 149
GRADE 2
13 Grade 2, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
Grade 2 Contents
Topic 1: Understanding Addition and Subtraction........................................... 14
Topic 2: Addition Strategies ........................................................................... 14
Topic 3: Subtraction Strategies ...................................................................... 14
Topic 4: Place Value: Numbers to 100 ............................................................ 14
Topic 5: Counting Money ................................................................................ 15
Topic 6: Mental Addition ................................................................................ 15
Topic 7: Mental Subtraction ........................................................................... 15
Topic 8: Adding Two-Digit Numbers ............................................................... 16
Topic 9: Subtracting Two-Digit Numbers ....................................................... 16
Topic 10: Using Addition and Subtraction ...................................................... 16
Topic 11: Geometry ....................................................................................... 16
Topic 12: Fractions ........................................................................................ 17
Topic 13: Measurement: Length and Area ...................................................... 17
Topic 15: Time and Temperature ................................................................... 17
Topic 16: Graphs and Probability ................................................................... 17
Topic 17: Numbers and Patterns to 1,000 ...................................................... 18
Topic 18: Three-Digit Addition and Subtraction ............................................. 18
Topic 19: Multiplication Concepts .................................................................. 18
GRADE 2
14 Grade 2, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 1: Understanding Addition and Subtraction Related Investigations Unit Mathematical Thinking at Grade 2 (Introduction) Activities
Today’s Number: Ways to Make 5, p. 22
Today’s Number, p. 40
Ways to Get to 11, p. 49 Ways to Get to 12, p. 50
enVisionMATH Topic 2: Addition Strategies Related Investigations Unit Coins, Coupons, and Combinations (The Number System) Activities
Ways to Make 10, p. 6
Book of 10, p. 8 Two of Everything, p. 22
Book of Magic Pot Riddles, p. 24
Strategies for Combining Numbers, p. 27
enVisionMATH Topic 3: Subtraction Strategies Related Investigations Unit Putting Together and Taking Apart (Addition and Subtraction) Activities
Solving a Separating Problem, p. 128
The Separating Poster: Comparing Solutions, p. 129
enVisionMATH Topic 4: Place Value: Numbers to 100 Related Investigations Units Mathematical Thinking at Grade 2 (Introduction) Activities
How Many Pockets?, pp. 41 and 113 Counting Strips, p. 92
Class Discussion: Counting Strips, p. 95
Coins, Coupons, and Combinations (The Number System) Activities
Counting Bags, p. 67
Filling in the 100 Chart, p. 110
What Do You Notice About the 100 Chart?, p. 111 100 Chart, p. 116
GRADE 2
15 Grade 2, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 5: Counting Money Related Investigations Units Mathematical Thinking at Grade 2 (Introduction) Activities
Exploring Coins, p. 86
Collect 25¢, p. 87
Coins, Coupons, and Combinations (The Number System) Activities
Ways to Make 15¢, p. 76 Matching Coins and Coupons, p. 77
Collect 50¢, p. 79
Putting Together and Taking Apart (Addition and Subtraction) Activity
Collect $1, p. 66
enVisionMATH Topic 6: Mental Addition Related Investigations Units Mathematical Thinking at Grade 2 (Introduction) Activity
Today’s Number, p. 115
Coins, Coupons, and Combinations (The Number System) Activities
Today’s Number: Using Number Combinations We Know, p. 45 Counting Pockets, pp. 50 and 83
Putting Together and Taking Apart (Addition and Subtraction) Activities
What’s a Story for This Problem?, p. 9 Get to 100, p. 45
Roll a Square, p. 49
Moving on the 100 Chart, p. 59 Ways to Make 100, p. 88
A Story About 100, p. 89 Equations for 100, p. 93
Class Discussion: Equations for 100, p. 96
Choosing a Story and an Equation, p. 97
enVisionMATH Topic 7: Mental Subtraction Related Investigations Units Coins, Coupons, and Combinations (The Number System) Activities
Start-Up, pp. 99 and 103
Class Discussion: Is It Adding or Subtracting?, p. 106
Today’s Number: How Far from 100?, p. 113
Putting Together and Taking Apart (Addition and Subtraction) Activities
What’s a Story for This Problem?, p. 24
What Was Taken Away?, p. 77
GRADE 2
16 Grade 2, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 8: Adding Two-Digit Numbers Related Investigations Units Coins, Coupons, and Combinations (The Number System) Activities
Story Problems, p. 116
Class Discussion: Many Ways to Solve a Problem, p. 118
Putting Together and Taking Apart (Addition and Subtraction) Activities
Solving a Combining Problem, p. 118 The Combining Poster: Comparing Solutions, p. 119
enVisionMATH Topic 9: Subtracting Two-Digit Numbers Related Investigations Unit Putting Together and Taking Apart (Addition and Subtraction) Activities
Story Problems, p. 29
Introducing Notation, p. 35 Writing Your Own Story Problems, p. 36
Teacher Checkpoint: Student Strategies, p. 37 Solving Story Problems, p. 80
Solving a Separating Problem, p. 128
The Separating Poster: Comparing Solutions, p. 129
enVisionMATH Topic 10: Using Addition and Subtraction Related Investigations Unit Putting Together and Taking Apart (Addition and Subtraction) Activities
Creating Story Problems, p. 81
Understanding Story Problem, p. 83
enVisionMATH Topic 11: Geometry Related Investigations Units Mathematical Thinking at Grade 2 (Introduction) Activities
Find the Block, p. 55 How Many Different Geoblocks?, p. 64
Sorting Geoblocks, p. 68
Mystery Block, p. 70 Opening the Geoblock Count Box, p. 75
Shapes, Halves, and Symmetry (Geometry and Fractions) Activities
Covering Pattern Blocks, p. 14 Introducing Geoblock Buildings, p. 98
Pattern Block Symmetry, p. 98
Mirror Designs, p. 104 Introducing Fold and Cut, p. 109
Class Discussion: Is It Symmetrical?, p. 112
Symmetrical Pictures, p. 113
GRADE 2
17 Grade 2, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 12: Fractions Related Investigations Unit Shapes, Halves, and Symmetry (Geometry and Fractions) Activities
Introducing Halves of Geoblocks, p. 76
Introducing Shape Halves, p. 82
Fraction Flags, p. 86 Fourths and Thirds of Rectangles, p. 89
Thirds and Fourths Flags, p. 93
enVisionMATH Topic 13: Measurement: Length and Area Related Investigations Unit How Long? How Far? (Measuring) Activities
Measurement Riddles, p. 31 Measuring Our Classroom, p. 37
Class Discussion: Measuring Our Classroom, p. 39
Introducing Paths, p. 48 Walking Paths, p. 48
Walking and Drawing Paths, p. 49
Comparing Lengths of Paths, p. 63 Introducing Paper Paths, p. 64
enVisionMATH Topic 15: Time and Temperature Related Investigations Unit Timelines and Rhythm Patterns (Representing Time) Activities
What Is a Timeline?, p. 5
Creating a Dr. Seuss Timeline, p. 6
enVisionMATH Topic 16: Graphs and Probability Related Investigations Units Mathematical Thinking at Grade 2 (Introduction) Activities
Playing Guess My Rule, p. 102
Collecting and Recording Guess My Rule Data, p. 104 Representing Guess My Rule Data, p. 105
Does It Walk, Crawl, or Swim? (Sorting and Classifying Data) Activities
What Sinks? What Floats?, p. 50
Graphing Our Data, p. 52
How Many Pockets? How Many Teeth? (Collecting and Representing Data) Activities
How Old Are the Kids in Our Class?, p. 5
How Many Siblings Do We Have?, p. 7 How Many Letters in Our Names?, p. 9
Introducing Pocket Towers, p. 13
Creating a Pocket Representation, p. 15
GRADE 2
18 Grade 2, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 17: Numbers and Patterns to 1,000 Related Investigations Unit Coins, Coupons, and Combinations (The Number System) Activities
How Many Legs Are in Our Class?, p. 56
Looking for Patterns, p. 58
Counting Around the Class, p. 63 Teacher Checkpoint: Counting on Our Fingers, p. 70
How Many Fingers?, p. 71
enVisionMATH Topic 18: Three-Digit Addition and Subtraction Related Investigations Unit Putting Together and Taking Apart (Addition and Subtraction) Activities
Story Problems, p. 29 Introducing Notation, p. 35
Writing Your Own Story Problems, p. 36
Teacher Checkpoint: Student Strategies, p. 37 Solving Story Problems, p. 80
Solving a Combining Problem, p. 118
The Combining Poster: Comparing Solutions, p. 119 Solving a Separating Problem, p. 128
The Separating Poster: Comparing Solutions, p. 129
enVisionMATH Topic 19: Multiplication Concepts Related Investigations Unit Coins, Coupons, and Combinations (The Number System) Activities
How Many Legs Are in Our Class?, p. 56 Looking for Patterns, p. 58
Counting Around the Class, p. 63 Counting on Our Fingers, p. 70
How Many Fingers?, p. 71
GRADE 3
19 Grade 3, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
Grade 3 Contents
Topic 1: Numeration ...................................................................................... 20
Topic 2: Adding Whole Numbers .................................................................... 20
Topic 3: Subtraction and Number Sense ......................................................... 20
Topic 4: Subtracting Whole Numbers to Solve Problems................................. 20
Topic 5: Multiplication Meanings and Facts .................................................... 21
Topic 6: Multiplication Fact Strategies: Use Known Facts .............................. 21
Topic 7: Division Meanings ............................................................................ 21
Topic 8: Division Facts ................................................................................... 21
Topic 9: Patterns and Relationships ............................................................... 22
Topic 10: Solids and Shapes .......................................................................... 22
Topic 11: Congruence and Symmetry ............................................................. 22
Topic 12: Understanding Fractions ................................................................. 22
Topic 13: Decimals and Money ....................................................................... 23
Topic 14: Customary Measurement ................................................................ 23
Topic 15: Metric Measurement ....................................................................... 23
Topic 16: Perimeter, Area, and Volume .......................................................... 23
Topic 17: Time and Temperature ................................................................... 24
Topic 18: Multiplying Greater Numbers .......................................................... 24
Topic 19: Dividing with 1-Digit Numbers ....................................................... 24
Topic 20: Data, Graphs, and Probability ......................................................... 24
GRADE 3
20 Grade 3, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 1: Numeration Related Investigations Units Mathematical Thinking at Grade 3 (Introduction) Activities
Making a 100 Chart, p. 10
Introducing Plus, Minus, Stay the Same, p. 11
Counting Money, p. 39
Landmarks in the Hundreds (The Number System) Activities
Making a Thousand, p. 54
Locating Numbers on the 1000 Chart, p. 56 Finding Real Quantities for the 1000 Chart, p. 57
enVisionMATH Topic 2: Adding Whole Numbers Related Investigations Units Mathematical Thinking at Grade 3 (Introduction) Activities
Discussion: Doing Doubles Problems, p. 42
Handfuls of Cubes, p. 60
Landmarks in the Hundreds (The Number System) Activity
Calculating with the 1000 Chart, p. 58
Combining and Comparing (Addition and Subtraction) Activity
Quick Images: How Many Paper Clips?, p. 54
enVisionMATH Topic 3: Subtraction and Number Sense Related Investigations Unit Combining and Comparing (Addition and Subtraction) Activities
Combining, Then Subtracting, p. 55 Paper Clip Problems, p. 56
enVisionMATH Topic 4: Subtracting Whole Numbers to Solve Problems Related Investigations Unit Combining and Comparing (Addition and Subtraction) Activities
Comparing Family Size, p. 4 Days In and Out of School, p. 64
Making International Comparisons, p. 66
GRADE 3
21 Grade 3, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 5: Multiplication Meanings and Facts Related Investigations Units Things That Come in Groups (Multiplication and Division) Activities
Naming Things That Come in Groups (Multiplication and Division), p. 4
Asking Multiplication Questions, p. 5
Pictures of Things That Come in Groups (Multiplication and Division), p. 8 Writing “Groups of” as Multiplication, p. 9
Writing Riddles for Our Pictures, p. 12
How Many Altogether?, p. 16
Landmarks in the Hundreds (The Number System) Activity
What Is a Factor, p. 10
enVisionMATH Topic 6: Multiplication Fact Strategies: Use Known Facts Related Investigations Unit Things That Come in Groups (Multiplication and Division) Activities
Playing Cover 50, p. 37 Arranging Chairs in Rectangular Arrays, p. 43
Arranging More Chairs, p. 44
Making Array Cards, p. 45 Counting Squares in Arrays, p. 48
Playing Array Games, p. 49
Discussing Array Game Strategies, p. 53
enVisionMATH Topic 7: Division Meanings Related Investigations Units Things That Come in Groups (Multiplication and Division) Activities
Writing Story Problems, p. 70
A Class Book of Problems, p. 71
Solving Problems in the Class Book, p. 72
Landmarks in the Hundreds (The Number System) Activity
Using Standard Notation, p. 44
Fair Shares (Fractions) Activity
How Many For Each Person?, p.57
enVisionMATH Topic 8: Division Facts Related Investigations Unit Things That Come in Groups (Multiplication and Division) Activity
Acting Out Number Sentences, p. 61
GRADE 3
22 Grade 3, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 9: Patterns and Relationships Related Investigations Unit Landmarks in the Hundreds (The Number System) Activities
Ways to Count to 10, p. 4
Ten-Minute Math: Counting Around the Class, p. 7
Skip Counting on the 100 Chart, p. 8
enVisionMATH Topic 10: Solids and Shapes Related Investigations Unit Exploring Solids and Boxes (3-D Geometry) Activities
Sorting Solids, p. 4
Thinking About Sorting Schemes, p. 6
Learning the Game: What’s My Shape?, p. 10 Playing the Game in Small Groups, p. 12
Discussion: How the Game Worked, p. 13
Open Boxes for Cubes, p. 28 More Cube Patterns, p. 31
Patterns for Triangular Pyramids, p. 35
enVisionMATH Topic 11: Congruence and Symmetry Related Investigations Unit Flips, Turns, and Area (2-D Geometry) Activities
Creating Different Shapes with Four Squares, p. 4 Covering a Rectangle with One Shape, p. 6
The Perfect Cover-Up, p. 11
Changing the Shape of the Rectangle, p. 23 Covering the New Rectangles, p. 27
enVisionMATH Topic 12: Understanding Fractions Related Investigations Unit Fair Shares (Fractions) Activities
Making Fraction Cards, p. 6 From Smallest to Largest, p. 8
Finding Fraction Facts, p. 9
Sharing Seven Brownies, p. 14 Designs That Are Half Yellow, p. 41
Other Fractions of Yellow, p.41
How Do You Know It Is Half Yellow?, p. 42
GRADE 3
23 Grade 3, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 13: Decimals and Money Related Investigations Units Mathematical Thinking at Grade 3 (Introduction) Activity
What’s the Little Dot?, p. 75
Landmarks in the Hundreds (The Number System) Activities
Working with Coins, p.24
Dividing a Dollar Among Five People, p. 24 Class Discussion: Six People Paying $1.50 Each, p. 41
Problems Using Money, p. 42
enVisionMATH Topic 14: Customary Measurement Related Investigations Unit From Paces to Feet (Measuring and Data) Activities
Estimating Distance in Giant Steps, p. 4 Measuring in Baby Steps, p. 6
Pacing the Classroom, p. 10 Estimating How Far in Paces, p. 11
Introduction to Measuring Tools, p. 31
Looking at Foot Length, p. 37 Things Longer Than a Foot, p. 39
enVisionMATH Topic 15: Metric Measurement Related Investigations Unit From Paces to Feet (Measuring and Data) Activities
Introducing Centimeters and Meters, p. 52
Looking at How Chairs Fit, p.62 Measuring Ourselves and Our Chairs, p. 64
Making a Clear Picture of the Data, p.65
Making Our Report, p. 66
enVisionMATH Topic 16: Perimeter, Area, and Volume Related Investigations Units Flips, Turns, and Area (2-D Geometry) Activities
Measuring Flat Space, p. 35
Finding Shapes with an Area of Four Square Units, p. 40
Class Discussion: Creating New Shapes, p. 43 Class Discussion: Are These Two Shapes the Same?, p. 44
Finishing the Posters, p. 47
Exploring Solids and Boxes (3-D Geometry) Activities
Predicting the Number of Cubes in a Box, p. 40
Designing Boxes to Hold 12 Cubes, p. 46
Introducing the Problem, p.54 Planning and Building the City, p. 56
Final Plans and Construction, p. 58
GRADE 3
24 Grade 3, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 17: Time and Temperature Related Investigations Unit Combining and Comparing (Addition and Subtraction) Activities
Planning a Party, p. 35
How Much Longer?, p. 60
How Many Days Until Your Birthday?, p. 61
enVisionMATH Topic 18: Multiplying Greater Numbers Related Investigations Unit Landmarks in the Hundreds (The Number System) Activities
Making a Picture of 100, p. 19
Listing the Factors of 100, p. 22
enVisionMATH Topic 19: Dividing with 1-Digit Numbers Related Investigations Unit Landmarks in the Hundreds (The Number System) Activity
Division Problems, p. 47
enVisionMATH Topic 20: Data, Graphs, and Probability Related Investigations Unit Combining and Comparing (Addition and Subtraction) Activities
Comparing Handfuls of Beans, p. 43
Looking at the Handfuls Data, p. 45
GRADE 4
25 Grade 4, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
Grade 4 Contents
Topic 1: Numeration ...................................................................................... 26
Topic 2: Adding and Subtracting Whole Numbers ........................................... 26
Topic 3: Multiplication Meanings and Facts .................................................... 26
Topic 4: Division Meanings and Facts ............................................................. 26
Topic 5: Multiplying by 1-Digit Numbers ......................................................... 27
Topic 6: Patterns and Expressions ................................................................. 27
Topic 7: Multiplying by 2-Digit Numbers ........................................................ 27
Topic 8: Dividing by 1-Digit Numbers ............................................................. 28
Topic 10: Understanding Fractions ................................................................ 28
Topic 13: Operations with Decimals ............................................................... 28
Topic 15: Solids ............................................................................................. 28
Topic 16: Measurement, Time, and Temperature ........................................... 29
Topic 17: Data and Graphs ............................................................................. 29
Topic 18: Equations ....................................................................................... 29
Topic 19: Transformations, Congruence, and Symmetry ................................ 29
Topic 20: Probability ...................................................................................... 29
GRADE 4
26 Grade 4, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 1: Numeration Related Investigations Units Mathematical Thinking at Grade 4 (Introduction) Activities
Counting Money, p. 35
The Collecting Dollars Game, p. 38
The Hidden Coins Game, p. 40
Landmarks in the Thousands (The Number System) Activities
Making a 1000 Book, p. 38
100 for Every Student, p. 54 Completing the 10,000 Chart, p. 56
What can We See on the 10,000 Chart?, p. 57
Money, Miles, and Large Numbers (Addition and Subtraction) Activity
Ways to Make a Dollar, p. 13
enVisionMATH Topic 2: Adding and Subtracting Whole Numbers Related Investigations Units Mathematical Thinking at Grade 4 (Introduction) Activity
Playing 101 to 200 Bingo, p. 51
Money, Miles, and Large Numbers (Addition and Subtraction) Activity
Class Discussion: Strategies for Adding and Subtracting Large Numbers, p. 49
enVisionMATH Topic 3: Multiplication Meanings and Facts Related Investigations Units Arrays and Shares (Multiplication and Division) Activities
Solving Multiplication Clusters, p. 10 Arranging a Group of 18 People, p. 19
Finding All Possible Arrays For a Number, p. 20 Class Discussion: Looking at All the Arrays, p. 21
Preparing a Personal Set of Array Cards, p. 26
Using the Array Cards, p. 27 Another Array Game, p. 29
How Many Ways Can You Make 8 x 6?, p. 32
Landmarks in the Thousands (The Number System) Activities
What Are All the Factors of 100?, p. 6
Do We Have All the Factors of 100?, p. 6
enVisionMATH Topic 4: Division Meanings and Facts Related Investigations Unit Arrays and Shares (Multiplication and Division) Activities
Making Groups, p. 8 Introducing Division Notation, p. 35
GRADE 4
27 Grade 4, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 5: Multiplying by 1-Digit Numbers Related Investigations Units Arrays and Shares (Multiplication and Division) Activities
Solving Cluster Problems, p. 44
Writing About Your Strategies, p. 45 Discussing Multiplication Pairs, p. 55
Which Pairs Are Hard for You?, p. 55
Landmarks in the Thousands (The Number System) Activities
Building with 100 Cubes, p. 11
Skip Counting on the 300 Chart, p. 21
Boxes for 200, p. 27
Packages and Groups (Multiplication and Division) Activities
Returning to Multiplication Clusters, p. 18
Making a Cluster of Problems, p. 20
enVisionMATH Topic 6: Patterns and Expressions Related Investigations Units Arrays and Shares (Multiplication and Division) Activities
Multiples on the 100 Chart, p. 4 Highlighting 100 Charts, p. 5
Landmarks in the Thousands (The Number System) Activities
Skip Counting on the 100 Chart by 2’s and 6’s, p. 4 Highlighting 100 Charts, p. 5
enVisionMATH Topic 7: Multiplying by 2-Digit Numbers Related Investigations Units Landmarks in the Thousands (The Number System) Activities
Factors of 1000: Counting with Calculators, p. 41
Counting to 1000, p. 41
Packages and Groups (Multiplication and Division) Activities
Skip Counting by Two-Digit Numbers, p. 11
Making a Multiple Tower, p. 12 Multiple Towers and Working on Difficult Pairs, p. 13
Making Close Estimates, p. 24
GRADE 4
28 Grade 4, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 8: Dividing by 1-Digit Numbers Related Investigations Unit Packages and Groups (Multiplication and Division) Activities
How Many 4’s in 48?, p. 30
Connecting Division Equations to a Context, p. 31
Dividing by Grouping, p. 42 Another Problem with Cubes, p. 43
Marbles in a Bag, p. 51
Finding Factors of Large Numbers, p. 53 Class Discussion: Making Conjectures About Finding Factors, p. 55
enVisionMATH Topic 10: Understanding Fractions Related Investigations Units Different Shapes, Equal Pieces (Fractions and Area) Activities
Making Fraction Cards, p. 41
Recognizing Equivalent Fractions, p. 43 Playing Fraction Fish, p. 43
Groups Order Fractions with Respect to Landmarks, p. 46
Playing Capture Fractions, p. 49 Making a Fraction Number Line, p. 50
Three Out of Four Like Spaghetti (Data and Fractions) Activities
Fractions to Describe Our class, p. 5 Making a Fraction Strip, p. 10
Estimating Familiar Fractions, p. 11
Using Class Strips to Find Familiar Fractions, p. 12 Using Fractions to Write Word Problems, p. 23
enVisionMATH Topic 13: Operations with Decimals Related Investigations Unit Money, Miles, and Large Numbers (Addition and Subtraction) Activities
Estimating and Finding Totals, p. 4
Adding Money on the Calculator: What Happens to the Cents?, p. 18 Estimating Grocery Receipts, p. 20
Change from $1.00, p. 23 Teacher Checkpoint Spaghetti and Sauce, p. 24
enVisionMATH Topic 15: Solids Related Investigations Unit Seeing Solids and Silhouettes (3-D Geometry) Activities
Building from Quick Images, p. 10
Predicting the Shape of Silhouettes, p. 17 Building the Toy, p. 53
Making the Instruction Booklet, p. 53
Testing the Plans, p. 54
GRADE 4
29 Grade 4, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 16: Measurement, Time, and Temperature Related Investigations Unit Money, Miles, and Large Numbers (Addition and Subtraction) Activities
Introducing Parts of a Mile, p. 32
City Landmarks, p. 41
Measuring Distance on a Map, p. 51
enVisionMATH Topic 17: Data and Graphs Related Investigations Units The Shape of Data (Statistics) Activities
Measuring Heights in the Class, p. 23
Describing the class Height Data, p. 25
Finding the Median Height for This Class, p. 39 What’s the Median Height of the All-Stars?, p. 40
How Long Do People Sleep?, p. 53
Choosing a Question, p. 55 Working with Preliminary Data, p. 56
Collecting, Organizing, and Describing Data, p. 59
Developing Theories and Publishing Findings, p. 60
Changes Over Time (Graphs) Activities
Graph of Speed, p. 40
Describing a Marathon Graphically, p. 40
enVisionMATH Topic 18: Equations Related Investigations Unit Money, Miles, and Large Numbers (Addition and Subtraction) Activities
Ways to Make a Dollar, p. 13
Class Discussion: Strategies for Adding and Subtracting Large Numbers, p. 49
enVisionMATH Topic 19: Transformations, Congruence, and Symmetry Related Investigations Unit Mathematical Thinking at Grade 4 (Introduction) Activities
Symmetry with Pattern Blocks, p. 67 Symmetry in the Environment, p. 68
Patterns Around Hexagons, p. 73
A Display of Patterns, p. 78 Writing About Our designs, p. 79
Symmetry on the Geoboard, p. 83
Counting Lines of Symmetry, p. 86 Mirror and Rotational Symmetry, p. 87
enVisionMATH Topic 20: Probability Related Investigations Unit Landmarks in the Thousands (The Number System) Activity
Ten Minute Math: What Is Likely?, p. 20
GRADE 5
30 Grade 5, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
Grade 5 Contents
Topic 1: Numeration ................................................................................................ 31
Topic 2: Adding and Subtracting Whole Numbers and Decimals .............................. 31
Topic 3: Multiplying Whole Numbers ........................................................................ 31
Topic 4: Dividing by 1-Digit Divisors ........................................................................ 31
Topic 5: Dividing by 2-Digit Divisors ......................................................................... 32
Topic 8: Shapes ....................................................................................................... 32
Topic 9: Fractions and Decimals ............................................................................... 32
Topic 10: Adding and Subtracting Fractions and Mixed Numbers ............................. 33
Topic 11: Multiplying Fractions and Mixed Numbers ................................................ 33
Topic 13: Solids ....................................................................................................... 33
Topic 14: Measurement Units, Time, and Temperature ............................................ 33
Topic 15: Solving and Writing Equations and Inequalities ....................................... 34
Topic 16: Ratio and Percent ..................................................................................... 34
Topic 18: Graphs and Data ....................................................................................... 34
Topic 20: Probability ................................................................................................ 35
GRADE 5
31 Grade 5, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 1: Numeration Related Investigations Unit Mathematical Thinking at Grade 5 (Introduction) Activities
Numbering Squares in Our Rectangle, p. 44
Displaying 10,000 Squares, p. 46
enVisionMATH Topic 2: Adding and Subtracting Whole Numbers and Decimals Related Investigations Unit Building on Numbers You Know (Computation and Estimation Strategies) Activities
Introducing the Digits Game, p. 29 Playing the Digits Game, p. 30
Strategies for Subtraction, p. 36
Solving Subtraction Problems, p. 37
enVisionMATH Topic 3: Multiplying Whole Numbers Related Investigations Units Mathematical Thinking at Grade 5 (Introduction) Activities
Building Number Rectangles, p. 5
Special Math Words, p. 7
Strategies for Remembering Factor Pairs, p. 31 Factor Pairs of 100, p. 35
Factor Pairs of Multiples of 100, p. 37
Building Rectangles with 1000 Squares, p. 38 What Rectangles Did We Make?, p. 40
Solving Multiplication Clusters, p. 55
Factor Pairs of 10,000, p. 91
Building on Numbers You Know (Computation and Estimation Strategies) Activities
Making Close Multiplication Estimates, p. 75
Reasoning About Multiplication Estimates, p. 76
enVisionMATH Topic 4: Dividing by 1-Digit Divisors Related Investigations Unit Building on Numbers You Know (Computation and Estimation Strategies) Activities
Division Situations, p. 57
Writing a Related Division Situation, p. 64
Making Close Division Estimates, p. 83 Reasoning About Division Estimates, p. 84
Looking at Division Clusters, p. 85
Making a Division Cluster, p. 89
GRADE 5
32 Grade 5, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 5: Dividing by 2-Digit Divisors Related Investigations Unit Building on Numbers You Know (Computation and Estimation Strategies) Activities
Finding Multiples of 21, p. 18
Making a Tower of Multiples of 21, p. 19
Using Multiples to Solve Problems, p. 21 Practice with Estimating, p. 91
Solving a Problem with the First Step Given, p. 92
Estimating Answers to Difficult Problems, p. 123 Different Paths to 10,000, p. 133
enVisionMATH Topic 8: Shapes Related Investigations Unit Picturing Polygons (2-D Geometry) Activities
Putting Together Power Polygons, p. 10
Identifying Triangles by Their Angles, p. 32 Sorting Triangles, p. 34
All Triangles, Some Triangles, p. 35
Identifying Quadrilaterals, p. 36 Sorting Quadrilaterals, p. 37
Attributes of Quadrilaterals, p. 38 Playing Guess My Rule, p. 39
Following the Rules, p. 47
Finding Angle Sizes, p. 70
enVisionMATH Topic 9: Fractions and Decimals Related Investigations Unit Name That Portion (Fractions, Percents, and Decimals) Activities
What Fraction Do You See?, p. 11
Ordering Fraction Cards, p. 50
Capture Fractions, p. 51 Fractions to Decimals on the Calculator, p. 67
Win/Loss Records, p. 69
Decimals on Grids, p. 73 Capture Decimals, p. 80
Comparing Decimals, p. 84
Assessment: Showing Which Is Larger, p. 95
GRADE 5
33 Grade 5, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 10: Adding and Subtracting Fractions and Mixed Numbers Related Investigations Unit Name That Portion (Fractions, Percents, and Decimals) Activities
Adding Fractions on the Clock, p. 36
Roll Around the Clock Game, p. 38
Making Fraction Strips, p. 42 Using the Strips for Fraction Sums, p. 44
Halfway Across the Fraction Tracks, p. 46
Labeling the Fraction Tracks, p. 48 Patterns on the Fraction Tracks, p. 48
Counting by Fractions, p. 49
Introducing the Fraction Track Game, p. 55 Playing the Fraction Track Game, p. 56
enVisionMATH Topic 11: Multiplying Fractions and Mixed Numbers Related Investigations Unit Name That Portion (Fractions, Percents, and Decimals) Activities
Introducing the Fraction Track Game, p. 54
Playing the Fraction Track Game, p. 56
enVisionMATH Topic 13: Solids Related Investigations Unit Containers and Cubes (3-D Geometry, Volume) Activities
Building Models of Volume Units, p. 43
Discussion: Which Unit Should We Use?, p. 44
A Plan to Measure Classroom Space, p. 45 How Many Cubic Meters in Our Classroom?, p. 50
Discussion: How We Measured, p. 52 Measuring Another Room, p. 58
Writing a Report on the Volume, p. 59
Sharing Our Findings, p. 59 Comparing Volumes of Containers, p. 63
Comparing Cylinders and Cones, p. 79
enVisionMATH Topic 14: Measurement Units, Time, and Temperature Related Investigations Unit Measurement Benchmarks (Estimating and Measuring) Activities
Reading Measuring Tools, p. 19 Guidelines for Measuring, p. 27
How Long Is 100 Meters?, p. 30
Sharing Our Paths, p. 33 Using a Map Scale, p. 38
Measurements on Grocery Labels, p. 47
Same or Different Weights?, p. 63 Assessment: Describing Measure of Weight and Liquid Quantity, p. 66
Discussion: Units of Time, p. 76 Reading the Second Hand, p. 77
Estimating 30 Seconds, p. 78
GRADE 5
34 Grade 5, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 15: Solving and Writing Equations and Inequalities Related Investigations Units Building on Numbers You Know (Computation and Estimation Strategies) Activities
Writing a Multiplication Situation, p. 63
Writing a Related Division Situation, p. 64
Making Close Multiplication Estimates, p. 75 Reasoning About Multiplication Estimates, p. 76
Mathematical Thinking at Grade 5 (Introduction) Activities
Solving Multiplication Clusters, p. 55 Making Our Own Problem Clusters, p. 58
enVisionMATH Topic 16: Ratio and Percent Related Investigations Unit Name That Portion (Fractions, Percents, and Decimals) Activities
Fractions, Decimals, and Percents, p. 4
Interpreting Percents, p. 12 Making Grid Patterns, p. 16
Fourths and Eighths on Grids, p. 19
Making a Percent Equivalence Strip, p. 24 Age and Gender Distributions, p. 102
enVisionMATH Topic 18: Graphs and Data Related Investigations Units Name That Portion (Fractions, Percents, and Decimals) Activities
Making Circle Graphs, p. 111
Using Circle Graphs to Represent Data, p. 113
Data: Kids, Cats, and Ads (Statistics) Activities
Describing Cats, p. 26
Representing Cat Data, p. 28 Sharing Our Findings on Cats, p. 29
Asking Questions About Cats, p. 35
Sharing Findings About Associations, p. 37 How Much of the Page Is Ads?, p. 70
Sampling and Collecting Ad Data, p. 73
Putting the Fractions Together, p. 77 Drawing Conclusions from the Sample, p. 79
GRADE 5
35 Grade 5, Plan 1 Designed for enVisionMATH users who would like to use Investigations resources with an envisionMATH topic
enVisionMATH Topic 20: Probability Related Investigations Unit Between Never and Always (Probability) Activities
Spinning a One-Half Spinner, p. 17
Discussing the Spinner Results, p. 21
Testing for Special Guessing Skills, p. 28 Looking at the Guessing Skills Results, p. 33
What Makes a Game Unfair?, p. 48
Making the Game Fair, p. 52 Playing New versions of the Game, p. 53
Who Goes First: What’s Fair?, p. 64
Playing the Unfair Spinner Game, p. 65 Assessment: Judging the Fairness of Games, p. 68
36
Introduction to Plan 2 Pearson Scott Foresman has developed a two-in-one Joint-Usage Master Plan for
enVisionMATH and Investigations in Number, Data, and Space® First Edition for teachers who are interested in using both programs.
The Plan 2 section of this Joint-Usage Master Plan has been designed for teachers using
enVisionMATH as their core program who would like to teach an Investigations curriculum unit
as a replacement for some enVisionMATH lessons. Typically, only one or two Investigations
units are incorporated during the first year a teacher is using enVisionMATH.
Using Plan 2
Step 1 Turn to the Plan 2 Contents for your grade level:
______________________________________________________________________
Kindergarten Contents ................................................................................. 37
Grade 1 Contents ........................................................................................ 47
Grade 2 Contents ........................................................................................ 58
Grade 3 Contents ........................................................................................ 69
Grade 4 Contents ........................................................................................ 83
Grade 5 Contents ........................................................................................ 95
______________________________________________________________________
Step 2 Locate the enVisionMATH topic you are about to teach and the Investigations unit or
units to which it is related. Choose and follow one curriculum plan. (Also note any additional
enVisionMATH topics that are related to the Investigations unit you choose to teach. In some cases, a topic will be taught out of sequence, and you will need to adjust your instructional plan
accordingly.)
Step 3 Identify the page where the instructional plan is located.
Step 4 Turn to that page and follow the comprehensive instructional plan for combining the Investigations unit with one or more enVisionMATH topics. All of the Investigations sessions and
enVisionMATH lessons should be taught in the order indicated. NOTE This plan lists the
individual Investigations sessions in the unit, the enVisionMATH topics and lessons that the sessions replace, and the enVisionMATH lessons you need to teach (or, in most cases, simply
integrate) with the Investigations sessions.
GRADE K
37 Grade K, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Kindergarten Contents
Investigations Unit Mathematical Thinking in Kindergarten (Introduction) .................................. 39
Related enVisionMATH topics
Topic 2: Position and Location
Topic 4: Zero to Five
Topic 5: Six to Ten
Topic 15: Calendar
Investigations Unit Pattern Trains and Hopscotch Paths (Exploring Pattern)................................ 40
Related enVisionMATH topic
Topic 3: Patterns
Investigations Unit Collecting, Counting, and Measuring (Developing Number Sense).................. 41
Related enVisionMATH topics Topic 4: Zero to Five
Topic 5: Six to Ten
Topic 6: Comparing Numbers
Topic 8: Fractions and Ordinals
Topic 9: Measurement
Investigations Unit
Counting Ourselves and Others (Exploring Data) ........................................... 43
Related enVisionMATH topics
Topic 1: Sorting and Classifying
Topic 5: Six to Ten
Topic 12: Larger Numbers
Topic 16: Graphing
GRADE K
38 Grade K, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigations Unit
Making Shapes and Building Blocks (Exploring Geometry) ............................ 44
Related enVisionMATH topic
Topic 7: Geometry
Investigations Unit
How Many in All? (Counting and the Number System).................................... 45
Related enVisionMATH topics
Topic 4: Zero to Five
Topic 9: Measurement
Topic 10: Addition
Topic 11: Subtraction
GRADE K
39 Grade K, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigations Unit Mathematical Thinking in Kindergarten (Introduction)
Related enVisionMATH topics Topic 2: Position and Location
Topic 4: Zero to Five
Topic 5: Six to Ten
Topic 15: Calendar
____________________________________________________________________________
Start with these enVisionMATH lessons:
2-1 Inside and Outside 2-2 Over, Under, and On
2-3 Top, Middle, and Bottom
2-4 Before and After 2-5 Left and Right
2-6 Problem Solving: Act It Out
Investigation 1: Attendance
Focus Time: Attendance Choice Time: Exploring Color Tiles
Choice Time: Exploring Pattern Blocks
Choice Time: Exploring Geoblocks
Investigation 2: Counting Jar
Focus Time: Counting Jar Choice Time: Counting Jar
enVisionMATH lessons to be taught/incorporated: 4-5 Reading and Writing 0
4-6 Making 4 and 5 4-7 More, Fewer, and Same As
4-8 1 and 2 More
4-9 1 and 2 Fewer 4-10 Problem Solving: Make an Organized List
5-2 Making 6 and 7
5-5 Making 8 and 9 5-8 Making 10
5-10 Ordering Numbers on a Number Line
5-11 Problem Solving: Make a Graph
enVisionMATH lessons replaced:
4-1 Counting 1, 2, and 3 4-2 Reading and Writing 1, 2, and 3
4-3 Counting 4 and 5 4-4 Reading and Writing 4 and 5
5-1 Counting 6 and 7
5-3 Reading and Writing 6 and 7
GRADE K
40 Grade K, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
5-4 Counting 8 and 9
5-6 Reading and Writing 8 and 9 5-7 Counting 10
5-9 Reading and Writing 10
Investigation 3: Calendar
Focus Time: Calendar Choice Time: Exploring Interlocking Cubes
enVisionMATH lessons to be taught/incorporated: 15-1 Calendar: Months and Seasons
15-6 Calendar: Temperature
15-7 Problem Solving: Draw a Picture
enVisionMATH lessons to replaced:
15-2 Calendar: Days of the Week 15-3 Calendar: Yesterday, Today, and Tomorrow
15-4 Calendar: Numbers on a Calendar 15-5 Calendar: Calendar
Investigation 4: Today’s Question
Focus Time: Today’s Question
____________________________________________________________________________
Investigations Unit
Pattern Trains and Hopscotch Paths (Exploring Pattern)
Related enVisionMATH topic
Topic 3: Patterns
____________________________________________________________________________
Investigation 1: Exploring Patterns
Focus Time: Watching and Looking
Focus Time: Cubes: What Do You Notice? Choice Time: Making Patterns
Choice Time: What’s Missing?
enVisionMATH lesson to replaced:
3-1 Sound and Movement Patterns
Investigation 2: What Comes Next?
Focus Time: Patterns on the Pocket Chart Choice Time: What Comes Next?
Choice Time: Pattern Block Snakes
Choice Time: Add On Choice Time: Break the Train
Choice Time: Make a Train
GRADE K
41 Grade K, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
enVisionMATH lessons to replaced:
3-2 Color Patterns 3-3 Shape Patterns
Investigation 3: Hopscotch Paths
Focus Time: Hopscotch Paths
Choice Time: Hopscotch Paths Choice Time: Tile Paths
Investigation 4: Pattern Borders
Focus Time: Pattern Borders
Choice Time: Color Tile Borders
Choice Time: 12 Chips Choice Time: Staircase Patterns
enVisionMATH lessons to replaced: 3-4 Comparing Patterns
3-5 Problem Solving: Look for a Pattern 3-6 Using Patterns to Predict What Comes Next
3-7 Creating Patterns
____________________________________________________________________________
Investigations Unit
Collecting, Counting, and Measuring (Developing Number Sense)
Related enVisionMATH topics
Topic 5: Six to Ten
Topic 6: Comparing Numbers
Topic 9: Measurement
____________________________________________________________________________
Investigation 1: Counting Books
Focus Time: Counting Books
Choice Time: My Counting Book Choice Time: Grab and Count
Choice Time: Counting Jar
Investigation 2: Taking Inventory
Focus Time: Taking Inventory Choice Time: Inventory Bags
Investigation 3: Comparing Towers
Focus Time: Measurement Towers
Choice Time: Measuring Table
Choice Time: Grab and Count: Which Has More? Choice Time: Compare
GRADE K
42 Grade K, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
enVisionMATH lessons to be taught/incorporated:
5-1 Counting 6 and 7 5-2 Making 6 and 7
5-3 Reading and Writing 6 and 7
5-4 Counting 8 and 9 5-5 Making 8 and 9
5-6 Reading and Writing 8 and 9 5-7 Counting 10
5-8 Making 10
5-9 Reading and Writing 10 5-10 Ordering Numbers on a Number Line
5-11 Problem Solving: Make a Graph
9-1 Comparing and Ordering by Size 9-4 Measuring Length
9-5 Problem Solving: Try, Check, and Revise
9-6 Comparing Capacities 9-7 Measuring Capacity
9-8 Comparing Weights 9-9 Measuring Weight
enVisionMATH lesson to be replaced: 9-2 Comparing by Length
Investigation 4: Counting and Comparing
Focus Time: Letters in Our Names
Choice Time: Comparing Name
Choice Time: Grab and count: Compare Choice Time: Collect 10 Together
enVisionMATH lessons to be taught/incorporated: 6-4 1 and 2 More and Fewer
6-5 Problem Solving: Use Objects 9-10 Problem Solving: Try, Check, and Revise
enVisionMATH lessons to be replaced: 6-1 Comparing Numbers Through 10
6-2 Comparing Numbers to 5
6-3 Comparing Numbers to 10 9-3 Ordering by Length
Investigation 5: Least to Most
Focus Time: Least to Most
Choice Time: Grab and Count: Least to Most Choice Time: Racing Bears
Investigation 6: Arrangements of Six
Focus Time: Six Tiles
Choice Time: Books of Six
GRADE K
43 Grade K, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Counting Ourselves and Others (Exploring Data)
Related enVisionMATH topics
Topic 1: Sorting and Classifying
Topic 12: Larger Numbers
Topic 16: Graphing
____________________________________________________________________________
Start with these enVisionMATH lessons:
12-1 Counting, Reading, and Writing 11 and 12 12-2 Counting, Reading, and Writing 13, 14, and 15
12-3 Counting, Reading, and Writing 16 and 17
12-4 Counting, Reading, and Writing 18, 19, and 20
Investigation 1: How Many Are We?
Focus Time: How Many Are We?
Focus Time: Counting Noses, Counting Eyes
Choice Time: Self Portraits Choice Time: Counting Chairs
Choice Time: Pattern Block Grab
enVisionMATH lessons to be taught/incorporated:
12-5 Odd and Even
12-6 Counting to 100 12-7 Counting Groups of Ten
12-8 Patterns on a Hundred Chart
12-9 Skip Counting by 2 and 5 12-10 Problem Solving: Look for a Pattern
Investigation 2: What Did You Eat for Lunch?
Focus Time: What Did You Eat for Lunch?
Choice Time: Same and Different Choice Time: Boxes, Bottles, and Cans
Choice Time: The Grocery Store
Choice Time: Clothing Sort
enVisionMATH lessons to be taught/incorporated:
1-4 Sorting by More Than One Attribute 1-5 Problem Solving: Use Logical Reasoning
16-1 As Many, More, and Fewer
enVisionMATH lessons to be replaced:
1-1 Same and Different 1-2 Sorting by One Attribute
1-3 Sorting the Same Set in Different Ways
GRADE K
44 Grade K, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 3: Collecting Data about Our class
Focus Time: Yes/No Surveys Choice Time: Yes/No Surveys
enVisionMATH lessons to be taught/incorporated: 16-3 Real Graphs
16-4 Picture Graphs 16-5 Bar Graphs
16-6 More Likely, Less Likely
16-7 Problem Solving: Make a Graph
enVisionMATH lesson to be replaced:
16-2 Collecting Data
Investigation 4: Who’s Here? Who’s Not?
Focus Time: Who’s Here? Who’s Not?
____________________________________________________________________________
Investigations Unit
Making Shapes and Building Blocks (Exploring Geometry)
Related enVisionMATH topic
Topic 7: Geometry
____________________________________________________________________________
Investigation 1: 2-D Shapes Around Us
Focus Time: Looking at 2-D Shapes
Choice Time: Book of Shapes Choice Time: Pattern Block Pictures
Choice Time: Shape Mural
enVisionMATH lessons to be taught/incorporated:
7-3 Making Shapes from Other Shapes
7-4 Same Size, Same Shape 7-5 Symmetry
enVisionMATH lessons to be replaced: 7-1 Squares and Other Rectangles
7-2 Circles and Triangles
Investigation 2: Exploring Shapes with the Computer
Focus Time: Introducing the MS_Shapes Software Choice Time: Free Explore with MS_Shapes on the Computer
Choice Time: Pattern Block Puzzles
GRADE K
45 Grade K, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 3: Looking at 3-D Shapes
Focus Time: 3-D Shapes in the Classroom Choice Time: Shape Hunt
Choice Time: Exploring Geoblocks
Choice Time: The Shape of Things on the Computer
enVisionMATH lessons to be replaced: 7-6 Solid Figures
7-7 Comparing Solid Figures
Investigation 4: Making Shapes and building Blocks
Focus Time: Clay Shapes
Choice Time: Clay Shapes Choice Time: Fill in the Hexagons
Choice Time: Build a Block
Choice Time: Quick Images on the Computer
enVisionMATH lesson to be replaced: 7-3 Making Shapes from Other Shapes
Investigation 5: 2-D Faces on 3-D Blocks
Focus Time: A Close Look at Geoblocks
Choice Time: Matching Faces
Choice Time: Geoblock Match-Up Choice Time: Planning Pictures on the Computer
enVisionMATH lessons to be taught/incorporated: 7-8 Flat Surfaces of Solid Figures
7-9 Problem Solving: Use Objects
_________________________________________________________________________________
Investigations Unit
How Many in All? (Counting and the Number System)
Related enVisionMATH topics
Topic 4: Zero to Five
Topic 10: Addition
Topic 11: Subtraction
____________________________________________________________________________
Investigation 1: Combining and Measuring
Focus Time: Counting and Measuring
Choice Time: Measuring with Sticks
Choice Time: Measuring with Cubes Choice Time: Collect 15 Together
Choice Time: Inventory Bag
GRADE K
46 Grade K, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 2: Six Tiles
Focus Time: Six Tiles in All
Choice Time: Books of Six in All
Choice Time: Grab Two Handfuls Choice Time: Towers of Six
enVisionMATH lesson to be replaced:
10-4 Using the Plus Sign
Investigation 3: Story Problems
Focus Time: Story Problems
Choice Time: Double Compare Choice Time: Counters in a Cup
Choice Time: Racing Bears
enVisionMATH lessons to be taught/incorporated:
4-1 Counting 1, 2, and 3 4-2 Reading and Writing 1, 2, and 3
4-3 Counting 4 and 5
4-4 Reading and Writing 4 and 5 4-5 Reading and Writing 0
4-6 Making 4 and 5
4-7 More, Fewer, and Same As 4-8 1 and 2 More
4-9 1 and 2 Fewer
4-10 Problem Solving: Make An Organized List 10-6 Addition Sentences
10-7 Problem Solving: Draw a Picture
11-3 Stories About Comparing 11-4 Using the Minus Sign
11-6 Subtraction Sentences 11-7 Problem Solving: Act It Out
enVisionMATH lessons to be replaced: 10-1 Stories About Joining
10-2 More Joining
10-3 Joining Groups 10-5 Finding Sums
11-1 Stories About Separating
11-2 Stories About Take Away 11-5 Finding Differences
Investigation 4: Blue and Red Crayons
Focus Time: Five Crayons in All
Choice Time: Six Crayons in All Choice Time: Total of Six
GRADE 1
47 Grade 1, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Grade 1 Contents
Investigations Unit Mathematical Thinking at Grade 1 (Introduction)........................................... 49
Related enVisionMATH topics
Topic 1: Numbers to 12
Topic 2: Comparing and Ordering Numbers
Investigations Unit
Building Number Sense (The Number System) .............................................. 50
Related enVisionMATH topics
Topic 3: Understanding Addition
Topic 4: Understanding Subtraction
Topic 5: Five and Ten Relationships
Topic 12: Comparing and Ordering Numbers to 100
Investigations Unit
Survey Questions and Secret Rules (Collecting and Sorting Data).................. 52
Related enVisionMATH topic
Topic 18: Data and Graphs
Investigations Unit
Quilt Squares and Block Towns (2-D and 3-D Geometry)................................ 53
Related enVisionMATH topics
Topic 8: Geometry
Topic 19: Fractional Parts
GRADE 1
48 Grade 1, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigations Unit
Number Games and Story Problems (Addition and Subtraction)..................... 54
Related enVisionMATH topics
Topic 6: Addition Facts to 12
Topic 7: Subtraction Facts to 12
Topic 10: Counting and Number Patterns to 10
Topic 11: Tens and Ones
Topic 13: Counting Money
Topic 16: Addition Facts to 18
Topic 17: Subtraction Facts to 18
Topic 20: Adding and Subtracting with Tens and Ones
Investigations Unit
Bigger, Taller, Heavier, Smaller (Measuring) .................................................. 56
Related enVisionMATH topics Topic 14: Measurement
Topic 15: Time
GRADE 1
49 Grade 1, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Mathematical Thinking at Grade 1 (Introduction)
Related enVisionMATH topics
Topic 1: Numbers to 12
Topic 2: Comparing and Ordering Numbers
____________________________________________________________________________
Start with these enVisionMATH lessons:
1-1 0 to 5
1-2 6 to 10
1-3 10, 11, and 12
1-6 Problem Solving: Use Objects
Investigation 1: Exploring Materials
Session 1: Getting Started with Materials
Sessions 2, 3, and 4: Exploring Materials
Investigation 2: Exploring Numbers
Session 1: The Game of Compare
Sessions 2 and 3: Introducing Staircases and Choice Time Session 4: Seven Peas and Carrots
Sessions 5 and 6: Number Choices
enVisionMATH lessons to be taught/incorporated:
1-4 Spatial Patterns for Numbers to 9
1-5 Spatial Patterns for Numbers to 10
2-3 Ordering Numbers to 12 with a Number Line
2-4 Problem Solving: Act It Out
enVisionMATH lessons replaced:
2-1 Comparing Two Numbers 2-2 Ordering Three Numbers
Investigation 3: Patterns
Session 1: What Comes Next?
Session 2: Changing Patterns
Sessions 3 and 4: Finding and Making Patterns Sessions 5 and 6: What is a Pattern?
Investigation 4: Counting and Combining
Session 1: Collect 15 Together Sessions 2 and 3: Counting and Combining
Session 4: Eleven Fruits
Session 5: Making Predictions About a Story Session 6: How Many in All?
GRADE 1
50 Grade 1, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 5: Data About Our Class
Session 1: Kid Pins Session 2: Attendance and Other Surveys
Sessions 3 and 4: Inventing Survey Representations
Sessions 5 and 6: How We Got to School Today
_________________________________________________________________________________
Investigations Unit Building Number Sense (The Number System)
Related enVisionMATH topics
Topic 3: Understanding Addition
Topic 4: Understanding Subtraction
Topic 5: Five and Ten Relationships
Topic 12: Comparing and Ordering Numbers to 100
____________________________________________________________________________
Investigation 1:
Session 1: Quick Images Session 2: Compare Dots
Sessions 3 and 4: Copying Cubes Sessions 5 and 6: Number Shapes
Sessions 7 and 8: Making Dot Pictures
Session 9: How Many Dots?
Investigation 2: Building Numbers in Different Ways
Session 1: Twelve Cats and Dogs Session 2: Problems about Ten
Session 3: The Game of Double Compare
Sessions 4 and 5: Breaking Numbers into Two Parts Sessions 6, 7, and 8: Towers of 10 and Number Choices
Session 9: Three Towers
enVisionMATH lessons to be taught/incorporated:
5-1 Representing Numbers on a Ten-Frame 5-2 Recognizing Numbers on a Ten-Frame
5-5 Problem Solving: Make a Table
enVisionMATH lessons replaced:
4-1 Finding Missing Parts of 6 and 7
4-2 Finding Missing Parts of 8 4-3 Finding Missing Parts of 9
5-3 Parts of 10
5-4 Finding Missing Parts of 10
GRADE 1
51 Grade 1, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 3: Counting
Sessions 1 and 2: The 100 Chart Sessions 3 and 4: Which Holds More?
Sessions 5, 6, and 7: More Counting and Comparing
Session 8: Clapping Patterns Session 9: (Excursion) Counting Stories
enVisionMATH lessons to be taught/incorporated:
12-1 1 More, 1 Less; 10 More, 10 Less
12-3 Comparing Numbers with >, <, = 12-5 Number Line Estimation
12-6 Before, After, and Between
12-7 Ordering Three Numbers 12-8 Problem Solving: Make an Organized List
enVisionMATH lessons replaced: 12-2 Making Numbers on a Hundred Chart
12-4 Ordering Numbers with a Hundred Chart
Investigation 4: Addition and Subtraction
Session 1: Introducing Combining Situations Session 2: Introducing Separating Situations
Sessions 3, 4, and 5: Five-in-a-Row and Story Problems
Session 6: Dot Addition Sessions 7, 8, and 9: Combining and Separating
Session10: Solving Story Problems
enVisionMATH lessons to be taught/incorporated:
3-6 Adding in Any Order
3-7 Problem Solving: Use Objects 4-6 Stories About Comparing
4-7 Connecting Addition and Subtraction 4-8 Problem Solving: Use Objects
enVisionMATH lessons replaced: 3-1 Making 6 and 7
3-2 Making 8
3-3 Making 9
3-4 Introducing Addition Number Sentences
3-5 Stories About Joining
4-4 Introducing Subtraction Number Sentences 4-5 Stories About Separating
GRADE 1
52 Grade 1, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Survey Questions and Secret Rules (Collecting and Sorting Data)
Related enVisionMATH topic Topic 18: Data and Graphs
____________________________________________________________________________
Investigation 1: Sorting
Sessions 1 and 2: Sorting Shapes
Session 3: Sorting Session 4: Sorting Buttons
Session 5: Sorting Lids
Session 6: Representations of Sorted Objects
Investigation 2: Survey Questions
Sessions 1 and 2: Would You Rather?
Sessions 3 and 4: More Surveys and Sorting
Sessions 5 and 6: Representing and Sharing Survey Results
enVisionMATH lessons to be taught/incorporated:
18-1 Using Data from Real Graphs 18-2 Using Data from Picture Graphs
enVisionMATH lesson replaced: 18-8 Problem Solving: Make a Graph
Investigation 3: Birthdays
Session 1: When Is Your Birthday?
Session 2: Whose Birthday Comes Next? Session 3: (Excursion) Timeline
enVisionMATH lesson to be taught/incorporated: 18-3 Using Data from Bar Graphs
Investigation 4: Ages and Attendance
Session 1: How Old Are We?
Sessions 2 and 3: Representing Data on Family Ages
Sessions 4 and 5: Attendance Comparisons
enVisionMATH lessons to be taught/incorporated: 18-4 Location on a Grid
18-5 Collecting Data Using Tally Marks
18-6 Making Real Graphs 18-7 Making Picture Graphs
18-9 Certain or Impossible
18-10 Likely or Unlikely
GRADE 1
53 Grade 1, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Quilt Squares and Block Towns (2-D and 3-D Geometry)
Related enVisionMATH topics Topic 8: Geometry
Topic 19: Fractional Parts
____________________________________________________________________________
Investigation 1: 2-D Shapes and Patterns
Session 1: What Shapes Do You See? Session 2: Same Shape, Different Pieces
Sessions 3, 4, 5, and 6: Describing 2-D Shapes
Session 7: Three Ways to Fill and Outline Sessions 8, 9, and 10: Filling Shapes
Sessions 11 and 12: Sorting 2-D Shapes Sessions 13, 14, and 15: Quilting with Squares and Triangles
enVisionMATH lessons to be taught/incorporated: 8-2 Properties of Plane Shapes
8-4 Breaking Apart Shapes to Make Shapes
8-5 Ways to Move Shapes 8-6 Congruence
8-7 Symmetry
19-1 Making Equal Parts 19-2 Describing Equal Parts of Whole Objects
19-3 Making Parts of a Set
19-4 Describing Parts of Sets 19-5 Problem Solving: Draw a Picture
enVisionMATH lessons replaced:
8-1 Identifying Plane Shapes
8-3 Making New Shapes from Shapes 8-8 Problem Solving: Make an Organized List
Investigation 2: Comparing and Constructing 3-D Shapes
Sessions 1 and 2: Describing and Comparing Shapes
Session 3: Block Pictures
Sessions 4, 5, and 6: Blocks in a Sock Session 7: What Kind of Box Is It?
Sessions 8, 9, and 10: Making Boxes
enVisionMATH lesson to be taught/incorporated:
8-11 Sorting Solid Figures
enVisionMATH lessons replaced:
8-9 Identifying Solid Figures 8-10 Flat Surfaces and Corners
GRADE 1
54 Grade 1, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 3: Building a Block Town
Sessions 1 and 2: Drawing Geoblocks
Sessions 3 and 4: Planning a Town
Session 5: Building a Town Sessions 6 and 7: Giving Directions
____________________________________________________________________________
Investigations Unit
Number Games and Story Problems (Addition and Subtraction)
Related enVisionMATH topics
Topic 6: Addition Facts to 12
Topic 7: Subtraction Facts to 12
Topic 10: Counting and Number Patterns to 10
Topic 11: Tens and Ones
Topic 13: Counting Money
Topic 16: Addition Facts to 18
Topic 17: Subtraction Facts to 18
Topic 20: Adding and Subtracting with Tens and Ones
____________________________________________________________________________
Investigation 1: Number Combinations
Session 1: Pictures of Ten Sessions 2 and 3: Number Combinations
Sessions 4 and 5: Total of 10
Session 6: How Many of Each Color? Sessions 7, 8, and 9: Crayon Puzzles
Session 10: (Excursion) Number Combination Stories
enVisionMATH lessons to be taught/incorporated:
6-4 Facts with 5 on a Ten-Frame 6-5 Making 10 on a Ten-Frame
6-1 Adding with 0, 1, 2
6-2 Doubles 6-3 Near Doubles
7-1 Subtracting with 0, 1, 2
7-2 Thinking Addition 7-3 Thinking Addition to 8 to Subtract
7-4 Thinking Addition to 12 to Subtract
enVisionMATH lessons replaced:
6-6 Problem Solving: Draw a Picture and Write a Number Sentence 7-5 Problem Solving: Draw a Picture and Write a Number Sentence
GRADE 1
55 Grade 1, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 2: Twos, Fives, and Tens
Session 1: How Many Hands? Session 2: Twos and Fours
Session 3: Collect 25¢ Together
Sessions 4 and 5: Counting and Combining Sessions 6, 7, and 8: Numbers to 100
Session 9: Patterns of Fives and Tens Sessions 10, 11, and 12: Twos, Fives, and Tens
Session 13: (Excursion) Counting by Kangaroos
enVisionMATH lessons to be taught/incorporated:
10-1 Making Numbers 11 to 20
10-2 Using Numbers 11 to 20 10-3 Counting by 10s to 100
10-6 Odd and Even Numbers
10-7 Ordinals Through Twentieth 10-9 Problem Solving: Look for a Pattern
13-4 Value of Half Dollar and Dollar 13-6 Problem Solving: Try, Check, and Revise
11-2 Numbers Made with Tens
11-3 Tens and Ones 11-4 Expanded Form
11-5 Ways to Make Numbers
11-6 Problem Solving: Make an Organized List
enVisionMATH lessons replaced:
10-4 Counting Patterns on a Hundred Chart 10-5 Using Skip Counting
10-8 Patterns in Tables
11-1 Counting with Groups of 10 and Leftovers 13-1 Values of Penny and Nickel
13-2 Values of Penny, Nickel, and Dime 13-3 Value of Quarter
13-5 Counting Sets of Coins
Investigation 3: Addition and Subtraction
Session 1: Combining Situations
Session 2: Separating Situations Sessions 3, 4, and 5: Five-in-a-Row and story Problems
Sessions 6, 7, and 8: Tens Go Fish
Session 9: Combining with Unknown Change Sessions 10, 11, and 12: Addition and Subtraction
Session 13: Solving Story Problems
enVisionMATH lessons to be taught/incorporated:
16-1 Doubles 16-2 Doubles Plus 1
16-3 Doubles Plus 2
16-4 Problem Solving: Two-Question Problems 16-5 Making 10 to Add 9
16-6 Making 10 to Add 8
GRADE 1
56 Grade 1, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
16-7 Adding Three Numbers
16-8 Problem Solving: Make a Table 17-1 Using Related Facts
17-2 Fact Families
17-3 Using Addition to Subtract 17-4 Subtraction Facts
20-1 Adding Groups of 10 20-2 Adding Tens on a Hundred Chart
20-3 Adding Tens to Two-Digit Numbers
20-4 Adding to a Two-Digit Number 20-5 Subtracting Tens on a Hundred Chart
20-6 Subtracting Tens from Two-Digit Numbers
20-7 Subtracting from a Two-Digit Number 20-8 Problem Solving: Extra Information
enVisionMATH lesson replaced: 17-5 Problem Solving: Draw a Picture and Write a Number Sentence
____________________________________________________________________________
Investigations Unit Bigger, Taller, Heavier, Smaller (Measuring)
Related enVisionMATH topics Topic 14: Measurement
Topic 15: Time
____________________________________________________________________________
Investigation 1: Weighing and Balancing
Sessions 1 and 2: Exploring Weight
Sessions 3 and 4: Comparing Two Objects
Sessions 5 and 6: Balancing Groups of Objects
enVisionMATH lessons to be taught/incorporated:
14-11 Pounds 14-12 Grams and Kilograms
enVisionMATH lesson replaced:
14-10 Comparing and Ordering by Weight
Investigation 2: Filling
Session 1: A Cupful of Sand
Sessions 2, 3, and 4: Filling Space Sessions 5, 6, and 7: Comparing Containers
GRADE 1
57 Grade 1, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
enVisionMATH lessons to be taught/incorporated:
14-8 Cups, Pints, and Quarts 14-9 Liters
14-13 Comparing and Ordering by Temperature
enVisionMATH lesson replaced:
14-7 Comparing and Ordering by Capacity
Investigation 3: Measuring Length
Session 1: Longer Than, Shorter Than Session 2: Measuring with Hands and feet
Session 3: Feet Lengths
Sessions 4 and 5: Measuring with Cubes
enVisionMATH lessons to be taught/incorporated:
14-2 Using Units to Estimate and Measure Length 14-3 Problem Solving: Use Reasoning
14-4 Feet and Inches 14-5 Centimeters
14-6 Understanding Perimeter
15-1 Understanding the Hour and Minute Hands 15-2 Telling and Writing Time to the Hour
15-3 Telling and Writing Time to the Half Hour
15-4 Estimating and Ordering Lengths of Time 15-5 Using the Calculator
15-6 Problem Solving: Use Data from a Table
enVisionMATH lesson replaced:
14-1 Comparing and Ordering by Length
GRADE 2
58 Grade 2, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Grade 2 Contents
Investigations Unit Mathematical Thinking at Grade 2 (Introduction)........................................... 60
Related enVisionMATH topic
Topic 5: Counting Money
Investigations Unit Coins, Coupons, and Combinations (The Number System).............................. 61
Related enVisionMATH topics Topic 2: Addition Strategies
Topic 4: Place Value: Numbers to 100
Investigations Unit
Does It Walk, Crawl, or Swim? (Sorting and Classifying Data) ....................... 62
Related enVisionMATH topic
Topic 16: Graphs and Probability
Investigations Unit Shapes, Halves, and Symmetry (Geometry and Fractions) ............................. 63
Related enVisionMATH topics
Topic 11: Geometry
Topic 12: Fractions
Investigations Unit
Putting Together and Taking Apart (Addition and Subtraction) ...................... 64
Related enVisionMATH topics
Topic 1: Understanding Addition and Subtraction
Topic 3: Subtraction Strategies
Topic 6: Mental Addition
Topic 7: Mental Subtraction
Topic 8: Adding Two-Digit Numbers
GRADE 2
59 Grade 2, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigations Unit
How Long? How Far? (Measuring) .................................................................. 66
Related enVisionMATH topics
Topic 13: Measurement: Length and Area
Topic 14: Measurement: Capacity and Weight
Investigations Unit How Many Pockets? How Many Teeth? (Collecting and Representing Data) ... 67
Related enVisionMATH topic Topic 16: Graphs and Probability
Investigations Unit
Timelines and Rhythm Patterns (Representing Time)..................................... 68
Related enVisionMATH topic
Topic 15: Time and Temperature
GRADE 2
60 Grade 2, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Mathematical Thinking at Grade 2 (Introduction)
Related enVisionMATH topic
Topic 5: Counting Money
____________________________________________________________________________
Investigation 1: Exploring Materials
Session 1: Exploring Cubes and Arrangements of 10
Sessions 2 and 3: Exploring Cubes, Pattern Blocks, and Geoblocks Session 4: Building and Sorting Cube Things
Investigation 2: Looking at Numbers
Session 1: How Many Days Have We Been in School?
Sessions 2 and 3: Card Games Sessions 4 and 5: Mystery Photos
Session 6: Today’s Number and Counting Pockets
Session 7:Revealing Mystery Photos Session 8: Ways to Get to 12
Investigation 3: Geometric Counts
Sessions 1 and 2: Geoblock Faces and Pattern Block Puzzles
Sessions 3 and 4: Counting Geoblocks and Pattern Blocks
Session 5: Sorting Geoblocks Session 6: Pattern Block Counts
Investigation 4: Counting
Session 1: Enough for the Class?
Session 2: Counting Coins, Counting Choices Sessions 3 and 4: Counting Strips and Counting Choices
Session 5: Enough for the Class? Revisited
enVisionMATH lessons to be taught/incorporated:
5-2 Quarter and Half-Dollar
5-3 Counting Collections of Coins 5-4 Ways to Show the Same Amount
5-5 One Dollar
5-6 Problem Solving: Make an Organized List
enVisionMATH lessons replaced: 5-1 Dime, Nickel, and Penny
Investigation 5: Collecting Data about Ourselves
Session 1: Collecting and Representing Data about Ourselves
Session 2: Collecting Pocket Data
Sessions 3 and 4: Taking Inventories Session 5: Representing Inventory Data
GRADE 2
61 Grade 2, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Coins, Coupons, and Combinations (The Number System)
Related enVisionMATH topics Topic 2: Addition Strategies
Topic 4: Place Value: Numbers to 100
____________________________________________________________________________
Investigation 1: 10s and Doubles
Session 1: Combinations of 10
Sessions 2 and 3: Card Games Sessions 4 and 5: Doubles
Session 6: Number Strings
Session 7: Exploring Calculators Sessions 8 and 9: Close to 20 and Beat the Calculator
Session 10: Today’s Number and the Magic Pot Session 11: Counting Pockets
enVisionMATH lessons to be taught/incorporated: 2-1 Adding 0, 1, 2
2-3 Near Doubles
2-4 Adding in Any Order 2-6 Making 10 to Add 9
2-7 Making 10 to Add 8
2-8 Problem Solving: Draw a Picture and Write a Number Sentence
enVisionMATH lessons replaced:
2-2 Doubles 2-5 Adding Three Numbers
Investigation 2: Grouping by 2s, 5s, and 10s
Session 1: Using Groups of 2
Session 2: Exploring Multiples of 5 Session 3: Counting by Different groups
Sessions 4 and 5: Counting Choices
Session 6: Ways to make 15¢ Sessions 7, 8, and 9: Coins and Coupons
Session 10: Collecting Pocket Data
Investigation 3: Introducing Addition and Subtraction Situations
Session 1: Introducing Combining Situations Session 2: Addition Notation
Session 3: Introducing Separating Situations
Sessions 4 and 5: Making Sense of Addition and Subtraction
Investigation 4: One Hundred
Session 1: Exploring the 100 Chart Sessions 2, 3, and 4: Working with 100
Session 5: Penny-a-Pocket
GRADE 2
62 Grade 2, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
enVisionMATH lessons to be taught/incorporated: 4-1 Models for Tens
4-2 Models for Tens and Ones
4-3 Reading and Writing Numbers 4-4 Using Models to Compare Numbers
4-5 Using Symbols to Compare Numbers 4-6 Before, After, and Between
4-7 Order Numbers
4-8 Number Patterns on a Hundred Chart 4-9 Even and Odd Numbers
4-10 Problem Solving: Use Data from a Chart
____________________________________________________________________________
Investigations Unit Does It Walk, Crawl, or Swim? (Sorting and Classifying Data)
Related enVisionMATH topic
Topic 16: Graphs and Probability
____________________________________________________________________________
Investigation 1: Sorting People and Yekttis
Sessions 1 and 2: Collecting and Representing Data About Ourselves
Session 3: Working with Two Attributes
Sessions 4 and 5: Looking at Yekttis Session 6: Introducing Venn Diagrams
Investigation 2: Collections: What Goes Together?
Sessions 1 and 2: Exploring Thing Collections
Sessions 3 and 4: Sink and Float
Investigation 3:
Session 1: How Animals Move Sessions 2 and 3: Representing Data in More Than One Way
enVisionMATH lessons replaced: 16-1 Organizing Data
16-2 Pictographs
Investigation 4:
Session 1: What Scares Us? Sessions 2 and 3: Comparing Scary Things Data
enVisionMATH lesson to be taught/incorporated: 16-3 Bar Graphs
16-4 Coordinate Graphs
16-5 Likely and Unlikely 16-6 Certain, Probable, and Impossible
16-7 Problem Solving: Use a Graph
GRADE 2
63 Grade 2, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Shapes, Halves, and Symmetry (Geometry and Fractions)
Related enVisionMATH topics Topic 11: Geometry
Topic 12: Fractions
____________________________________________________________________________
Investigation 1: Composing and Decomposing Shapes
Session 1: Shapes Around Us
Sessions 2 and 3: Seeing Shapes Within Shapes
Sessions 4 and 5: Shape Puzzles Sessions 6, 7, and 8: Building Buildings
enVisionMATH lessons to be taught/incorporated:
11-1 Flat Surfaces, Vertices, and Edges
11-2 Relating Plane Shapes to Solid Figures
enVisionMATH lessons replaced:
11-3 Making New Shapes 11-4 Cutting Shapes Apart
Investigation 2: What Is a Rectangle?
Session 1: Investigating Quadrilaterals
Session 2: Which Rectangle Is Biggest?
Session 3: Building Rectangles Sessions 4 and 5: Describing Rectangles
Session 6: Picturing Rectangles
Investigation 3: Fractions of Geometric Shapes
Sessions 1 and 2: Halves of Rectangles and Solids Sessions 3, 4, and 5: Cutting Congruent Halves
Session 6: Fraction Flags
Sessions 7 and 8: (Excursion) Fourths and Thirds of Rectangles
enVisionMATH lessons to be taught/incorporated:
12-3 Non-Unit Fractions and Regions 12-4 Estimating Fractional Parts of a Whole
12-5 Fractions of a Set 12-6 Problem Solving: Use Objects
enVisionMATH lessons replaced: 11-5 Congruence
12-1 Wholes and Equal Parts
12-2 Unit Fractions and Regions
GRADE 2
64 Grade 2, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 4: Symmetry
Sessions 1 and 2: Symmetrical Designs Sessions 3 and 4: Reflecting Blocks and Tiles
Sessions 5 and 6: Paper Folding and Cutting
Session 7: Symmetrical Pictures
enVisionMATH lessons to be taught/incorporated: 11-6 Ways to Move Shapes
11-8 Problem Solving: Use Reasoning
enVisionMATH lesson replaced:
11-7 Symmetry
____________________________________________________________________________
Investigations Unit Putting Together and Taking Apart (Addition and Subtraction)
Related enVisionMATH topics Topic 1: Understanding Addition and Subtraction
Topic 3: Subtraction Strategies
Topic 6: Mental Addition
Topic 7: Mental Subtraction
Topic 8: Adding Two-Digit Numbers
____________________________________________________________________________
Investigation 1:
Session 1: Introducing Combining Situations
Session 2: Introducing Separating Situations Sessions 3 and 4: Making Sense of addition and Subtraction
Sessions 5 and 6: Writing Stories for Numerical Problems
enVisionMATH lessons to be taught/incorporated:
1-1 Writing Addition Number Sentences
1-3 Writing Subtraction Number Sentences 1-5 Stories About Comparing
1-6 Connecting Addition and Subtraction
3-1 Subtracting 0, 1, 2 3-2 Thinking Addition to Subtract Doubles
3-3 Thinking Addition to 10 to Subtract 3-4 Thinking Addition to 18 to Subtract
3-6 Problem Solving: Two-Question Problems
enVisionMATH lessons replaced:
1-2 Stories About Joining
1-4 Stories About Separating 1-7 Problem Solving: Use Objects
GRADE 2
65 Grade 2, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 2:
Session 1: Exploring the 100 Chart Session 2: Games on the 100 Chart
Sessions 3 and 4: Working with 100
Sessions 5 and 6: Collect $1 Session 7: How Many Paper Clips?
enVisionMATH lessons to be taught/incorporated:
6-5 Problem Solving: Look for a Pattern
7-3 Subtracting on a Hundred Chart 7-5 Problem Solving: Missing or Extra Information
enVisionMATH lessons replaced: 6-1 Adding Tens
6-2 Adding Ones
6-3 Adding Tens and Ones 6-4 Adding on a Hundred Chart
7-1 Subtracting Tens 7-2 Finding Parts of 100
Investigation 3:
Session 1: Parts and Wholes
Session 2: Problems with a Missing Part
Sessions 3, 4, and 5: Separating and Combining Choices
enVisionMATH lesson replaced:
3-5 Finding the Missing Part
Investigation 4:
Session 1: Emma’s Animals Session 2: Ways to Make 100
Sessions 3 and 4: Stories About 100
enVisionMATH lesson replaced:
7-4 Adding On to Subtract
Investigation 5:
Session 1: Introducing Comparing Situations Sessions 2 and 3: Capture 5
Sessions 4 and 5: Strategies for Combining
Session 6: Capture 5 Strategies Session 7: Strategies for Separating
Session 8: How Far?
GRADE 2
66 Grade 2, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
enVisionMATH lessons to be taught/incorporated:
8-1 Regrouping 10 Ones for 1 Ten 8-2 Models to Add Two- and One-Digit Numbers
8-3 Adding Two- and One-Digit Numbers
8-4 Models to Add Two-Digit Numbers 8-5 Adding Two-Digit Numbers
8-6 Adding Three Numbers 8-7 Problem Solving: Draw a Picture and Write a Number Sentence
___________________________________________________________________________
Investigations Unit
How Long? How Far? (Measuring)
Related enVisionMATH topics
Topic 13: Measurement: Length and Area
Topic 14: Measurement: Capacity and Weight
____________________________________________________________________________
Investigation 1:
Session 1: Scavenger Hunt
Sessions 2, 3, and 4: A Scavenger Hunt Choice Time
Sessions 5, 6, and 7: Choices About Measurement Session 8: Measuring Our Classroom
enVisionMATH lessons replaced: 13-1 Thinking About Attributes
13-2 Exploring Length
13-3 Measuring Length Using Nonstandard Units
Investigation 2:
Session 1: Walking, Visualizing, and Representing Paths
Sessions 2 and 3: Investigating Turns
Sessions 4 and 5: Measuring Paths Sessions 6, 7, and 8: Moving on a Grid
enVisionMATH lessons to be taught/incorporated: 13-4 Inches, Feet, and Yards
13-5 Centimeters and Meters
13-6 Exploring Perimeter 13-7 Exploring Area
13-8 Problem Solving: Use Objects 14-1 Exploring Capacity
14-2 Measuring Capacity Using Nonstandard Units
14-3 Cups, Pints, and Quarts 14-4 Liters
14-5 Exploring Weight
14-6 Ounces and Pounds 14-7 Grams and Kilograms
14-8 Problem Solving: Use Objects
GRADE 2
67 Grade 2, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
How Many Pockets? How Many Teeth? (Collecting and Representing Data)
Related enVisionMATH topic
Topic 16: Graphs and Probability
____________________________________________________________________________
Investigation 1:
Session 1: Quick Data Collections
Sessions 2 and 3: Pocket Towers Sessions 4 and 5: Class Surveys
Investigation 2:
Sessions 1 and 2: How Many Teeth Have You Lost?
Session 3: Comparing Lost Teeth Among Other Grades Sessions 4 and 5: Collecting Teeth Data
Session 6: Mystery Teeth Data
Investigation 3:
Session 1: Choosing a Question to Investigate
Sessions 2, 3, and 4: Collecting, Organizing, and Representing Data Session 5: Data Projects: What Does This Graph Tell Us?
enVisionMATH lessons to be taught/incorporated: 16-1 Organizing Data
16-2 Pictographs
16-3 Bar Graphs 16-4 Coordinate Graphs
16-5 Likely and Unlikely 16-6 Certain, Probable, and Impossible
16-7 Problem Solving: Use a Graph
GRADE 2
68 Grade 2, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Timelines and Rhythm Patterns (Representing Time)
Related enVisionMATH topics Topic 15: Time and Temperature
____________________________________________________________________________
Investigation 1:
Sessions 1 and 2: What Is a Timeline? Session 3: Timeline of My Life
Sessions 4 and 5: Special Day Timelines
Session 6: Acting Out Timelines
enVisionMATH lessons to be taught/incorporated: 15-1 Telling Time to Five Minutes
15-2 Telling Time Before and After the Hour
15-3 Estimating Time 15-4 Using a Calendar
15-5 Temperature: Fahrenheit and Celsius
15-6 Problem Solving: Multiple-Step Problems
Investigation 2:
Session 1: Follow the Leader Rhythm Game Sessions 2 and 3: Codes and Conventions
Session 4: Guess my Three Rhythms
Session 5: Timing and Rhythms
GRADE 3
69 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Grade 3 Contents
Investigations Unit Mathematical Thinking at Grade 3 (Introduction)........................................... 71
Related enVisionMATH topics
Topic 1: Numeration
Topic 20: Data, Graphs, and Probability
Investigations Unit Things That Come in Groups (Multiplication and Division) ............................. 72
Related enVisionMATH topics Topic 5: Multiplication Meanings and Facts
Topic 8: Division Facts
Topic 9: Patterns and Relationships
Investigations Unit
Flips, Turns, and Area (2-D Geometry) ........................................................... 73
Related enVisionMATH topics
Topic 11: Congruence and Symmetry
Topic 16: Perimeter, Area, and Volume
Investigations Unit From Paces to Feet (Measuring and Data) ...................................................... 74
Related enVisionMATH topics
Topic 14: Customary Measurement
Topic 15: Metric Measurement
Investigations Unit Landmarks in the Hundreds (The Number System) ........................................ 75
Related enVisionMATH topics Topic 1: Numeration
Topic 5: Multiplication Meanings and Facts
Topic 6: Multiplication Fact Strategies: Use Known Facts
Topic 18: Multiplying Greater Numbers
Topic 19: Dividing with 1-Digit Numbers
GRADE 3
70 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigations Unit
Up and Down the Number Line (Changes) ...................................................... 77
Related enVisionMATH topic
Topic 2: Adding Whole Numbers
Investigations Unit Combining and Comparing (Addition and Subtraction) ................................... 78
Related enVisionMATH topics Topic 2: Adding Whole Numbers
Topic 4: Subtracting Whole numbers to Solve Problems
Topic 14: Customary Measurement
Topic 15: Metric Measurement
Investigations Unit
Turtle Paths (2-D Geometry) .......................................................................... 79
Related enVisionMATH topic
Topic 16: Perimeter, Area, and Volume
Investigations Unit Fair Shares (Fractions) ................................................................................... 80
Related enVisionMATH topics Topic 12: Understanding Fractions
Topic 13: Decimals and Money
Investigations Unit Exploring Solids and Boxes (3-D Geometry) ................................................... 81
Related enVisionMATH topic Topic 10: Solids and Shapes
GRADE 3
71 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Mathematical Thinking at Grade 3 (Introduction)
Related enVisionMATH topics
Topic 1: Numeration
Topic 20: Data, Graphs, and Probability
____________________________________________________________________________
Investigation 1: What Is 100?
Session 1: How Much Is 100? Sessions 2 and 3: Working with 100
Investigation 2: Doubles and Halves
Session 1: Pattern Blocks
Session 2: Strategies for Addition Sessions 3 and 4: Finding Doubles and Halves
Sessions 5, 6, and 7: Doubling with Money
enVisionMATH lessons to be taught/incorporated:
1-1 Hundreds
1-2 Thousands 1-3 Greater Numbers
1-4 Ways to Name Numbers
1-5 Comparing Numbers 1-6 Ordering Numbers
1-8 Making Change
1-9 Problem Solving: Make an Organized List
enVisionMATH lesson replaced: 1-7 Counting Money
Investigation 3: Data and Handfuls
Sessions 1 and 2: Collecting and Representing Data
Sessions 3 and 4: Handfuls of Cubes and Other Objects
enVisionMATH lessons to be taught/incorporated:
20-5 Ordered Pairs and Line Graphs
20-6 How Likely? 20-7 Outcomes and Experiments
20-8 Line Plots and Probability 20-9 Problem Solving: Use Tables and Graphs to Draw Conclusions
enVisionMATH lessons replaced: 20-1 Organizing Data
20-2 Reading Pictographs and Bar Graphs
20-3 Making Pictographs 20-4 Making Bar Graphs
GRADE 3
72 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 4: Exploring Odds and Evens
Session 1: Adding Odds and Evens Session 2: Odds and Evens on the Calculator
Session 3: What We’ve Learned about Odds and Evens
____________________________________________________________________________
Investigations Unit Things That Come in Groups (Multiplication and Division)
Related enVisionMATH topics Topic 5: Multiplication Meanings and Facts
Topic 8: Division Facts
Topic 9: Patterns and Relationships
____________________________________________________________________________
Investigation 1: Things That Come in Groups
Session 1: How Many Things Come in Groups?
Session 2: How Many in Several Groups? Session 3: Writing and Solving Riddles
Session 4: (Excursion): Each Orange Had 8 Slices
enVisionMATH lesson to be taught/incorporated:
5-5 Problem Solving: Writing to Explain
5-6 2 and 5 as Factors 5-7 10 as a Factor
5-8 9 as a Factor
5-9 Multiplying with 0 and 1
enVisionMATH lesson replaced: 5-1 Multiplication as Repeated Addition
Investigation 2: Skip Counting and 100 Charts
Session 1: Highlighting Multiples in 100 Charts
Session 2: Using the Calculator to Skip Count
Sessions 3 and 4: More Practice with Multiples Sessions 5 and 6: Discussing Number Patterns
enVisionMATH lessons to be taught/incorporated: 9-3 Extending Tables
9-4 Writing Rules for Situations 9-5 Translating Words to Expressions
9-6 Geometric Patterns
9-7 Equal or Unequal 9-8 Problem Solving: Act It Out and Use Reasoning
enVisionMATH lessons replaced: 9-1 Repeating Patterns
9-2 Number Sequences
GRADE 3
73 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 3: Arrays and Skip Counting
Sessions 1 and 2: Arranging Chairs Sessions 3 and 4: Array Games
Session 5: The Shapes of Arrays
enVisionMATH lessons replaced:
5-2 Arrays and Multiplication 5-3 Using Multiplication to Compare
5-4 Writing Multiplication Stories
Investigation 4: The Language of Multiplication and Division
Sessions 1 and 2: Multiply or Divide?
Sessions 3 and 4: Writing and Solving Story Problems
enVisionMATH lessons to be taught/incorporated:
8-1 Relating Multiplication and Division 8-2 Fact Families with 2, 3, 4, and 5
8-3 Fact Families with 6 and 7 8-4 Fact Families with 8 and 9
8-5 Dividing with 0 and 1
enVisionMATH lesson replaced:
8-6 Problem Solving: Draw a Picture and Write a Number Sentence
Investigation 5: Problems with Larger Numbers
Session 1: Calculating Savings
Session 2: Many, Many Legs Session 3: Data Tables and Line Plots
Session 4: A Riddle with 22 Legs
enVisionMATH lesson to be taught/incorporated:
5-10 Problem Solving: Two-Question Problems
________________________________________________________________________________
Investigations Unit
Flips, Turns, and Area (2-D Geometry)
Related enVisionMATH topics
Topic 11: Congruence and Symmetry
Topic 16: Perimeter, Area, and Volume
____________________________________________________________________________
Investigation 1: Motions with Tetrominoes
Session 1: Tetrominoes
Sessions 2 and 3: Slides, Flips, and Turns
Session 4: Rectangles with Different shapes Session 5: Final Challenges
GRADE 3
74 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
enVisionMATH lessons to be taught/incorporated:
11-2 Line Symmetry 11-3 Drawing Shapes with Lines of Symmetry
11-4 Problem Solving: Use Objects
enVisionMATH lesson replaced:
11-1 Congruent Figures and Motion
Investigation 2: Finding Area
Session 1: Triangles and Squares Sessions 2 and 3: A Poster of Four-Unit Shapes
Sessions 4 and 5: Writing About Area
enVisionMATH lessons to be taught/incorporated:
16-1 Understanding Perimeter
16-2 Perimeter of Common Shapes 16-3 Different Shapes with the Same Perimeter
16-4 Problem Solving: Try, Check, and Revise 16-6 Estimating and Measuring Area
16-7 Volume
16-8 Problem Solving: Solve a Simpler Problem
enVisionMATH lesson replaced:
16-5 Understanding Area
____________________________________________________________________________
Investigations Unit From Paces to Feet (Measuring and Data)
Related enVisionMATH topics
Topic 14: Customary Measurement
Topic 15: Metric Measurement
____________________________________________________________________________
Start with these enVisionMATH lessons: 14-1 Understanding Measurement
Investigation 1: Measuring with Paces and Steps
Session 1: Giant Steps and Baby steps
Session 2: Pacing and Comparing Sessions 3 and 4: Robot Directions
Sessions 5 and 6: Finding the Middle-sized Pace
GRADE 3
75 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigation 2: From Paces to Feet
Session 1: The Need for a Standard Measure Session 2: Kids’ Feet and Adults’ Feet
Sessions 3 and 4: Measuring Centers
Session 5: Moving to Metric Sessions 6 and 7: Metric Measurement
enVisionMATH lessons to be taught/incorporated:
14-2 Fractions of an Inch
14-3 Using Inches, Feet, Yards, and Miles 14-4 Customary Units of Capacity
14-5 Units of Weight
14-6 Problem Solving: Act It Out 15-1 Using Centimeters and Decimeters
15-2 Using Meters and Kilometers
15-3 Metric Units of Capacity 15-4 Units of Mass
15-5 Problem Solving: Make a Table and Look for a Pattern
Investigation 3: Measuring Project
Session 1: What’s a Good Fit? Sessions 2 and 3: Do Our Chairs Fit Us?
Investigation 4: Measuring Project: Balobbyland
Sessions 1, 2, and 3: Making a Small World
____________________________________________________________________________
Investigations Unit
Landmarks in the Hundreds (The Number System)
Related enVisionMATH topics
Topic 1: Numeration
Topic 5: Multiplication Meanings and Facts
Topic 6: Multiplication Fact Strategies: Use Known Facts
Topic 18: Multiplying Greater Numbers
Topic 19: Dividing with 1-Digit Numbers
____________________________________________________________________________
Investigation 1: Finding Factors
Session 1: Skip Counting with Cubes Sessions 2 and 3: Factors of 24, 36, and 48
Sessions 4 and 5: Factors of 100
Sessions 6 and 7:Dividing a Dollar
enVisionMATH lessons to be taught/incorporated:
5-1 Multiplication as Repeated Addition 5-2 Arrays and Multiplication
5-3 Using Multiplication to Compare
GRADE 3
76 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
5-4 Writing Multiplication Stories
5-5 Problem Solving: Writing to Explain 5-6 2 and 5 as Factors
5-7 10 as a Factor
5-8 9 as a Factor 5-9 Multiplying with 0 and 1
5-10 Problem Solving: Two-Question Problems 6-1 3 as a Factor
6-2 4 as a Factor
6-3 6 and 7 as Factors 6-4 8 as a Factor
6-5 11 and 12 as Factors
6-6 Multiplying with 3 Factors 6-7 Problem Solving: Multiple-Step Problems
Investigation 2: Using Landmarks to Solve Problems
Sessions 1, 2, and 3: Moving Beyond 100
Session 4: Solving Problems with Money Sessions 5 and 6: Real-World Multiplying and Dividing
enVisionMATH lessons to be taught/incorporated: 18-1 Using Mental Math to Multiply
18-2 Estimating Products
18-3 Multiplication and Arrays 18-4 Breaking Apart to Multiply
18-5 Using an Expanded Algorithm
18-6 Multiplying 2- and 3-Digit by 1-Digit Numbers 19-1 Mental Math
19-2 Estimating Quotients
19-3 Connecting Models and Symbols 19-4 Dividing 2-Digit Numbers
19-5 Dividing with Remainders 19-6 Problem Solving: Multiple-Step Problems
enVisionMATH lessons replaced: 1-1 Hundreds
18-7 Problem Solving: Draw a Picture and Write a Number Sentence
Investigation 3: Constructing a 1000 Chart
Session 1: A 1000 Chart
Sessions 2 and 3: Mental Math: Multiplication Problems
enVisionMATH lessons to be taught/incorporated: 1-2 Thousands
1-3 Greater Numbers
1-4 Ways to Name Numbers 1-5 Comparing Numbers
1-6 Ordering Numbers
1-7 Counting Money 1-8 Making Change
1-9 Problem Solving: Make an Organized List
GRADE 3
77 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
_________________________________________________________________________________
Investigations Unit
Up and Down the Number Line (Changes)
Related enVisionMATH topic
Topic 2: Adding Whole Numbers
____________________________________________________________________________
Investigation 1: Net Change
Sessions 1 and 2: Elevator Trips Up and Down
Sessions 3 and 4: Many Ways to Make One Net Change
Session 5: Thirty Changes Sessions 6 and 7: Missing Information Problems
Session 8: (Excursion) Stopping at Many Floors
enVisionMATH lessons to be taught/incorporated:
2-1 Addition Meaning and Properties 2-2 Adding on a Hundred Chart
2-3 Using Mental Math to Add
2-4 Rounding 2-5 Estimating Sums
2-6 Adding 2-Digit Numbers
2-7 Models for Adding 3-Digit Numbers 2-8 Adding 3-Digit Numbers
2-9 Adding 3 or More Numbers 2-10 Problem Solving: Draw a Picture
Investigation 2: Representing Elevator Trips
Session 1: Graphing Elevator Trips
Sessions 2 and 3: Repeating Elevator Trips
Session 4: Plus and Minus Graphs
Investigation 3: Inventing Board Games
Session 1: Playing a Board Game Sessions 2 and 3: Creating a Board Game
GRADE 3
78 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Combining and Comparing (Addition and Subtraction)
Related enVisionMATH topics
Topic 2: Adding Whole Numbers
Topic 4: Subtracting Whole numbers to Solve Problems
Topic 14: Customary Measurement
Topic 15: Metric Measurement
____________________________________________________________________________
Investigation 1: Comparisons with Record Numbers
Sessions 1 and 2: How Many Children in Your Family?
Session 3: More Record Comparisons
Investigation 2: How Much Heavier or Lighter?
Session 1: Weighing Fruits and Vegetables
Session 2: Comparing the Weights
enVisionMATH lessons to be taught/incorporated: 14-1 Understanding Measurement
14-2 Fractions of an Inch
14-3 Using Inches, Feet, Yards, and Miles 14-4 Customary Units of Capacity
14-5 Units of Weight
14-6 Act It Out and Use Reasoning 15-1 Using Centimeters and Decimeters
15-2 Using Meters and Kilometers
15-3 Metric Units of Capacity 15-4 Units of Mass
15-5 Problem Solving: Make a Table and Look for a Pattern
Investigation 3: Adding with Money, Inches, and Time
Sessions 1 and 2: Heights and Coupons Session 3: Planning a Party
Investigation 4: Working with Hundreds
Session 1: Handfuls of Beans
Session 2: More Handfuls
Sessions 3 and 4: Handfuls of Paper Clips
enVisionMATH lessons to be taught/incorporated: 2-1 Addition Meaning and Properties
2-2 Adding on a Hundred Chart
2-3 Using Mental Math to Add 2-4 Rounding
2-5 Estimating Sums
2-7 Models for Adding 3-Digit Numbers 2-8 Adding 3-Digit Numbers
2-9 Adding 3 or More Numbers
GRADE 3
79 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
2-10 Problem Solving: Draw a Picture
4-1 Models for Subtracting 2-Digit Numbers 4-2 Subtracting 2-Digit Numbers
4-3 Models for Subtracting 3-Digit Numbers
4-4 Subtracting 3-Digit Numbers 4-5 Subtracting Across Zero
4-6 Problem Solving: Draw a Picture and Write a Number Sentence
enVisionMATH lesson to be replaced:
2-6 Adding 2-Digit Numbers
Investigation 5: Calendar Comparisons
Session 1: How Much Longer? Sessions 2 and 3: School Days
_________________________________________________________________________________
Investigations Unit Turtle Paths (2-D Geometry)
Related enVisionMATH topics
Topic 10: Solids and Shapes
Topic 16: Perimeter, Area, and Volume
____________________________________________________________________________
Investigation 1: Paths and Lengths of Paths
Session 1: Walking Paths
Session 2: Commanding the Turtle
Sessions 3 and 4: Mazes and Maps
Investigation 2: Turns in Paths
Sessions 1 and 2: Turns Session 3: Turns, Turtles, and Triangles
Session 4: Equilateral Triangles Sessions 5 and 6: Missing Measures
Investigation 3: Paths with the Same Length
Sessions 1 and 2: The 200 Steps
Sessions 3, 4, and 5: Facing Problems
Sessions 6 and 7: (Excursion) Designing a Geo-Logo Project
enVisionMATH lessons to be taught/incorporated:
10-1 Solid Figures 10-2 Relating Solids and Shapes
10-5 Polygons 10-6 Triangles
10-7 Quadrilaterals
10-8 Problem Solving: Make and Test Generalizations
GRADE 3
80 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
16-2 Perimeter of Common Shapes
16-3 Different Shapes with the Same Perimeter 16-4 Problem Solving: Try, Check, and Revise
16-5 Understanding Area
16-6 Estimating and Measuring Area 16-7 Volume
16-8 Problem Solving: Solve a Simpler Problem
enVisionMATH lessons replaced:
10-3 Lines and Line Segments 10-4 Angles
16-1 Understanding Perimeter
_________________________________________________________________________________
Investigations Unit
Fair Shares (Fractions)
Related enVisionMATH topics
Topic 12: Understanding Fractions
Topic 13: Decimals and Money
____________________________________________________________________________
Investigation 1: Sharing Brownies
Sessions 1 and 2: Making Fair Shares
Sessions 3 and 4: More Brownies to Share
enVisionMATH lesson to be taught/incorporated:
12-4 Benchmark Fractions
enVisionMATH lessons replaced:
12-1 Dividing Regions Into Equal Parts 12-2 Fractions and Regions
12-5 Finding Equivalent Fractions 12-6 Using Models to Compare Fractions
12-7 Fractions on the Number Line
Investigation 2: Pattern-Block Cookies
Sessions 1 and 2: Making Cookie Shares
Session 3: Comparing Shares Session 4: The Fraction Cookie Game
Sessions 5 and 6: Backward Sharing
Session 7: (Excursion) Half Yellow
enVisionMATH lessons to be taught/incorporated: 12-9 Using Models to Subtract Fractions
12-10 Problem Solving: Make a Table and Look for a Pattern
GRADE 3
81 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
enVisionMATH lesson replaced:
12-8 Using Models to Add Fractions
Investigation 3: Other Things to Share
Sessions 1 and 2: How Can We Split Balloons? Session 3: Sharing Many Things
enVisionMATH lessons to be taught/incorporated:
13-1 Fractions and Decimals
13-2 Using Money to Understand Decimals 13-3 Adding and Subtracting Money
13-4 Problem Solving: Draw a Picture and Write a Number Sentence
13-5 Problem Solving: Missing or Extra Information
enVisionMATH lesson replaced:
12-3 Fractions and Sets
____________________________________________________________________________
Investigations Unit
Exploring Solids and Boxes (3-D Geometry)
Related enVisionMATH topic
Topic 10: Solids and Shapes
____________________________________________________________________________
Investigation 1: Sorting and Describing Solids
Session 1: Sorting Polyhedra Session 2: What’s My Shape?
enVisionMATH lesson to be taught/incorporated:
10-2 Relating Solids and Shapes
10-3 Lines and Line Segments 10-4 Angles
enVisionMATH lesson replaced: 10-1 Solid Figures
Investigation 2: Building Polygons and Polyhedra
Sessions 1 and 2: Building Polygons
Session 3: Building Polyhedra Sessions 4 and 5: Building Polyhedra from Descriptions
enVisionMATH lessons to be taught/incorporated: 10-7 Quadrilaterals
10-8 Problem Solving: Make and Test Generalizations
GRADE 3
82 Grade 3, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
enVisionMATH lessons replaced:
10-5 Polygons 10-6 Triangles
Investigation 3: Making Boxes
Session 1: Making Boxes for a Cube
Session 2: Patterns for Other Solids
Investigation 4: How Many Cubes in a Box?
Session 1: Finding the Number of Cubes in a Box Session 2: Twelve-Cube Boxes
Session 3: Patterns from the Bottom Up
Investigation 5: Building a City
Sessions 1, 2, 3, and 4: Making a Box City
GRADE 4
83 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Grade 4 Contents
Investigations Unit Mathematical Thinking at Grade 4 (Introduction)........................................... 85
Related enVisionMATH topic
Topic 19: Transformations, Congruence, and Symmetry
Investigations Unit
Arrays and Shares (Multiplication and Division) ............................................. 86
Related enVisionMATH topics
Topic 3: Multiplication Meanings and Facts
Topic 4: Division Meanings and Facts
Topic 5: Multiplying by 1-Digit Numbers
Investigations Unit Seeing Solids and Silhouettes (3-D Geometry) ............................................... 87
Related enVisionMATH topic Topic 15: Solids
Investigations Unit
Landmarks in the Thousands (The Number System)....................................... 88
Related enVisionMATH topics
Topic 1: Numeration
Topic 2: Adding and Subtracting Whole Numbers
Investigations Unit
Different Shapes, Equal Pieces (Fractions and Area) ...................................... 89
Related enVisionMATH topics
Topic 10: Understanding Fractions
Topic 11: Adding and Subtracting Fractions
Investigations Unit
The Shape of Data (Statistics) ........................................................................ 90
Related enVisionMATH topic
Topic 17: Data and Graphs
GRADE 4
84 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigations Unit
Money, Miles, and Large Numbers (Addition and Subtraction) ....................... 91
Related enVisionMATH topics
Topic 12: Understanding Decimals
Topic 13: Operations with Decimals
Investigations Unit
Changes Over Time (Graphs).......................................................................... 92
Related enVisionMATH topic
Topic 17: Data and Graphs
Investigations Unit Packages and Groups (Multiplication and Division) ........................................ 93
Related enVisionMATH topics
Topic 7: Multiplying by 2-Digit Numbers
Topic 8: Dividing by 1-Digit Numbers
Investigations Unit Sunken Ships and Grid Patterns (2-D Geometry)............................................ 94
Related enVisionMATH topic Topic 9: Lines, Angles and Shapes
GRADE 4
85 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Mathematical Thinking at Grade 4 (Introduction)
Related enVisionMATH topic
Topic 19: Transformations, Congruence, and Symmetry
____________________________________________________________________________
Investigation 1: How Many Hundreds?
Session 1: Getting Started with Interlocking Cubes
Sessions 2 and 3: How Many Hundreds?
Session 4: Close to 100
Investigation 2: How Many Dollars?
Sessions 1 and 2: How Much Money? Sessions 3 and 4: Number Sense and Coins
Investigation 3: Using Number Patterns
Sessions 1 and 2: The 300 Chart
Session 3: Related Problem Sets Sessions 4 and 5: Addition and Subtraction Strategies
Investigation 4: Making Geometric Patterns
Session 1: Patterns with Mirror Symmetry
Session 2: Patterns with Rotational Symmetry
Sessions 3 and 4: Patterns and Nonpatterns Sessions 5 and 6: Symmetrical Geoboard Patterns
enVisionMATH lessons to be taught/incorporated: 19-1 Translations
19-2 Reflections 19-3 Rotations
19-4 Congruent Figures
19-7 Problem Solving: Draw a Picture
enVisionMATH lessons replaced:
19-5 Line Symmetry 19-6 Rotational Symmetry
GRADE 4
86 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Arrays and Shares (Multiplication and Division)
Related enVisionMATH topics
Topic 3: Multiplication Meanings and Facts
Topic 4: Division Meanings and Facts
Topic 5: Multiplying by 1-Digit Numbers
____________________________________________________________________________
Investigation 1: Multiples on the 100 Chart
Sessions 1 and 2: Multiples on the 100 Chart Session 3: Skip Counting and Multiplying
enVisionMATH lesson replaced: 3-1 Meanings of Multiplication
Investigation 2: Arrays
Session 1: Things That Come in Arrays
Sessions 2 and 3: Making Arrangements Session 4: Preparing a Set of Arrays
Sessions 5 and 6: Array Games
Sessions 7 and 8: Looking at Division
enVisionMATH lessons to be taught/incorporated:
3-2 Patterns for Facts 3-3 Multiplication Properties
3-4 3 and 4 as Factors
3-5 6, 7, and 8 as Factors 3-6 10, 11, and 12 as Factors
4-2 Relating Multiplication and Division 4-3 Special Quotients
4-4 Using Multiplication Facts to Find Division Facts
4-5 Problem Solving: Draw a Picture and Write an Equation
enVisionMATH lessons replaced:
3-7 Problem Solving: Draw a Picture and Write an Equation 4-1 Meanings of Division
Investigation 3: Multiplication and Division with Two-Digit Numbers
Session 1: Multiplication Clusters
Sessions 2, 3, and 4: Multiplication and Division Choices Session 5: Problems That Look Hard But Aren’t
enVisionMATH lessons to be taught/incorporated: 5-1 Multiplying by Multiples of 10 and 100
5-3 Using Rounding to Estimate
5-5 Using an Expanded Algorithm 5-7 Multiplying 3-Digit by 1-Digit Numbers
5-8 Problem Solving: Draw a Picture and Write an Equation
GRADE 4
87 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
enVisionMATH lessons replaced: 5-2 Using Mental Math to Multiply
5-4 Problem Solving: Reasonableness
5-6 Multiplying 2-Digit by 1-Digit Numbers
____________________________________________________________________________
Investigations Unit
Seeing Solids and Silhouettes (3-D Geometry)
Related enVisionMATH topic
Topic 15: Solids
____________________________________________________________________________
Investigation 1: Making and Visualizing Cube Buildings
Session 1: Building with Cubes
Session 2: Making Mental Pictures
enVisionMATH lessons to be taught/incorporated:
15-4 Volume 15-5 Problem Solving: Look for a Pattern
Investigation 2: Exploring Geometric Silhouettes
Sessions 1 and 2: (Excursion) Silhouettes of Geometric Solids
Sessions 3 and 4: Silhouettes of Cube Buildings
Session 5: (Excursion) Different Views of a City
enVisionMATH lessons to be taught/incorporated:
15-1 Solids 15-2 Views of Solids: Nets
enVisionMATH lesson replaced:
15-3 Views of Solids: Perspective
Investigation 3: “How-To” Instructions for Cube Building
Session 1: Writing “How-To” Instructions
Sessions 2 and 3: Which Instructions Are Best?
Investigation 4: The Cube Toy Project
Sessions 1, 2, 3, and 4: Making Plans for a Cube Toy
GRADE 4
88 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Landmarks in the Thousands (The Number System)
Related enVisionMATH topics
Topic 1: Numeration
Topic 2: Adding and Subtracting Whole Numbers
____________________________________________________________________________
Investigation 1: Working with 100
Session 1: Ways to Count to 100
Session 2: 100 in a Box Session 3: Moving Around on the 100 Chart
Investigation 2: Exploring Multiples of 100
Session 1: Factors of 100, 200, 300
Sessions 2, 3, and 4: Using Landmarks to Add and Subtract Session 5: Solving Problems in the Hundreds
enVisionMATH lessons to be taught/incorporated: 2-1 Using Mental Math to Add and Subtract
2-3 Problem Solving: Missing or Extra Information
Investigation 3: How Much Is 1000?
Session 1: Numbers to 1000
Session 2: Moving Around in the 1000 Book Sessions 3, 4, and 5: Estimating, Adding, and Subtracting to 1000
enVisionMATH lessons to be taught/incorporated: 2-6 Subtracting Across Zeros
2-7 Problem Solving: Draw a Picture and Write an Equation
enVisionMATH lessons replaced:
2-2 Estimating Sums and Differences of Whole Numbers 2-4 Adding Whole Numbers
2-5 Subtracting Whole Numbers
Investigation 4: Making a 10,000 Chart
Sessions 1, 2, and 3: Squares on the Wall
enVisionMATH lessons to be taught/incorporated:
1-2 Millions 1-3 Comparing and Ordering Whole Numbers
1-4 Rounding Whole Numbers
1-5 Using Money to Understand Decimals 1-6 Counting Money and Making Change
1-7 Problem Solving: Make an Organized List
enVisionMATH lesson replaced:
1-1 Thousands
GRADE 4
89 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Different Shapes, Equal Pieces (Fractions and Area)
Related enVisionMATH topics
Topic 10: Understanding Fractions
Topic 11: Adding and Subtracting Fractions
____________________________________________________________________________
Investigation 1: Parts of Squares: Halves, Fourths, and Eighths
Session 1: Finding Halves of Crazy Cakes
Sessions 2, 3 and 4 Halves, Fourths, and Eighths with Geoboards Session 5: Combining Fractions in a Design
enVisionMATH lesson to be taught/incorporated: 10-2 Fractions and Division
10-3 Estimating Fractional Amounts
enVisionMATH lesson replaced:
10-1 Regions and Sets
Investigation 2: Parts of Rectangles: Thirds, Sixths, and Twelfths
Sessions 1 and 2: Thirds, Sixths, and Twelfths Session 3: More Fraction Designs
Session 4: Working with 2/3, 3/4, 5/6, and 7/8
enVisionMATH lessons to be taught/incorporated:
11-1 Adding and Subtracting Fractions with Like Denominators
11-2 Adding Fractions with Unlike Denominators 11-3 Subtracting Fractions with Unlike Denominators
enVisionMATH lesson replaced:
11-4 Problem Solving: Draw a Picture and Write an Equation
Investigation 3: Ordering Fractions
Sessions 1 and 2: Making Fraction Cards
Session 3: Ordering Fractions with Respect to Landmarks Sessions 4 and 5: Making a Fraction Number Line
enVisionMATH lessons to be taught/incorporated: 10-5 Fractions in Simplest Form
10-6 Improper Fractions and Mixed Numbers
enVisionMATH lessons replaced:
10-4 Equivalent Fractions 10-7 Comparing Fractions
10-8 Ordering Fractions
10-9 Problem Solving: Writing to Explain
GRADE 4
90 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
The Shape of Data (Statistics)
Related enVisionMATH topics
Topic 17: Data and Graphs
____________________________________________________________________________
Investigation 1: Introduction to Data Analysis
Session 1: How Many Raisins in a Box?
Sessions 2 and 3: How Many People in a Family?
enVisionMATH lessons to be taught/incorporated:
17-4 Ordered Pairs
17-5 Line Graphs
enVisionMATH lessons replaced: 17-3 Line Plots
17-10 Problem Solving: Make a Graph
Investigation 2: Landmarks in the Data
Session 1: How Tall Are Fourth Graders?
Sessions 2 and 3: Fourth and First Graders: How Much Taller? Session 4: Looking at Mystery Data
Session 5: Finding the Median
Sessions 6 and 7: Using Landmarks in the Data
enVisionMATH lessons to be taught/incorporated:
17-6 Mean 17-7 Median, Mode, and Range
Investigation 3: A Data Project: Investigating Sleep
Sessions 1 and 2: What Do We Want to Find Out?
Sessions 2, 3 and 4: The Research Team at Work
enVisionMATH lessons to be taught/incorporated:
17-8 Stem-and-Leaf Plots 17-9 Reading Circle Graphs
enVisionMATH lessons replaced: 17-1 Data From Surveys
17-2 Interpreting Graphs
GRADE 4
91 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Money, Miles, and Large Numbers (Addition and Subtraction)
Related enVisionMATH topics
Topic 12: Understanding Decimals
Topic 13: Operations with Decimals
____________________________________________________________________________
Start with these enVisionMATH lessons:
12-1 Decimal Place Value
12-2 Comparing and Ordering Decimals 12-3 Fractions and Decimals
12-4 Fractions and Decimals on the Number Line
12-5 Mixed Numbers and Decimals on the Number Line 12-6 Problem Solving: Draw a Picture
13-1 Rounding Decimals
Investigation 1: Everyday Uses of Money
Sessions 1 and 2: Groceries, Lunch, and Book Orders Session 3: Making a Dollar
Sessions 4 and 5: Making Sense (Cents) of Money on the Calculator
Session 6: Making Change Sessions 7 and 8: Shopping Smart
enVisionMATH lessons to be taught/incorporated: 13-3 Modeling Addition and Subtraction of Decimals
13-4 Adding and Subtracting Decimals
13-5 Multiplying a Whole Number by a Decimal 13-6 Dividing a Decimal by a Whole Number
13-7 Problem Solving: Try, Check, and Revise
enVisionMATH lessons replaced:
13-2 Estimating Sums and Differences of Decimals
Investigation 2: How Far? Measuring in Miles and Tenths
Sessions 1 and 2: Miles and Tenths of a Mile Session 3: (Excursion) How Far Is 1/10 of a Mile?
Session 4: A Tour of Our Town
Investigation 3: Calculating Longer Distances
Session 1: Close to 1000 Sessions 2, 3 and 4: A Trip Around the United States
GRADE 4
92 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Changes Over Time (Graphs)
Related enVisionMATH topic
Topic 17: Data and Graphs
____________________________________________________________________________
Investigation 1: Graphing Population Changes
Sessions 1 and 2: Graphing Home Population Over Time
Sessions 3 and 4: Making Group Graphs
Sessions 5 and 6: Ins and Outs Number Problems
Investigation 2: Ways to Show Change Over Time
Sessions 1 and 2: Showing Change Over Time
Investigation 3: Telling Stories from Line Graphs
Sessions 1 and 2: Making Graph Sketches
Session 3: Graphing and Predicting Plant Growth
Session 4: Using Line Graphs to Prepare Growth Session 5: Graphs, Stories, and Number
Session 6: Sequences Interpreting Graphs
Sessions 7 and 8: Mystery Graphs
enVisionMATH lessons to be taught/incorporated:
17-1 Data from Surveys 17-2 Interpreting Graphs
17-3 Line Plots
17-4 Ordered Pairs 17-6 Mean
17-7 Median, Mode, and Range 17-8 Stem-and-Leaf Plots
17-9 Reading Circle Graphs
17-10 Problem Solving: Make a Graph
enVisionMATH lesson replaced:
17-5 Line Graphs
GRADE 4
93 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Packages and Groups (Multiplication and Division)
Related enVisionMATH topics
Topic 7: Multiplying by 2-Digit Numbers
Topic 8: Dividing by 1-Digit Numbers
____________________________________________________________________________
Investigation 1: Multiplication Tables
Sessions 1 and 2: Making a Multiplication Table
Session 3: (Excursion) Multiple Plaids Sessions 4 and 5: Multiples of Larger Numbers
Investigation 2: Double-Digit Multiplication
Session 1: Multiplying Two-Digit Numbers
Sessions 2 and 3: Solving and Creating Cluster Problems
enVisionMATH lessons to be taught/incorporated:
7-1 Using Mental Math to Multiply 2-Digit Numbers 7-2 Estimating Products
7-3 Arrays and an Expanded Algorithm
7-4 Multiplying 2-Digit Numbers by Multiples of Ten 7-5 Multiplying 2-Digit by 2-Digit Numbers
7-6 Special Cases
7-7 Problem Solving: Two-Question Problems
Investigation 3: Multiplication and Division Choices
Sessions 1 and 2: Division Notation and Situations Session 3: Looking More Closely at Division Problems
Sessions 4, 5, and 6: Choice Time Sessions 7 and 8: What Are Numbers Divisible Visible By?
Session 9: Division Bingo
Session 10: Assessing Students’ Understanding of Division
enVisionMATH lessons to be taught/incorporated:
8-1 Using Mental Math to Divide 8-2 Estimating Quotients
8-3 Dividing with Remainders
8-4 Connecting Models and Symbols 8-5 Dividing 2-Digit by 1-Digit Numbers
8-6 Dividing 3-Digit by 1-Digit Numbers 8-7 Deciding Where to Start Dividing
8-8 Factors
8-9 Prime and Composite Numbers 8-10 Problem Solving: Multiple-Step Problems
GRADE 4
94 Grade 4, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Sunken Ships and Grid Patterns (2-D Geometry)
Related enVisionMATH topic
Topic 9: Lines, Angles, and Shapes
____________________________________________________________________________
Investigation 1: Locating Houses and Ships on a Grid
Session 1: Coordinates and Distances on a Grid
Session 2: Introducing Negative Coordinates
Sessions 3 and 4: Playing Sunken Ships Sessions 5 and 6: Distances On and Off the Computer
Investigation 2: Rectangles, Turns, and Coordinates
Session 1: Making Rectangles
Sessions 2 and 3: Rectangles, Coordinates, and Symmetry Session 4: Properties of Rectangles
Session 5: Turns
Sessions 6 and 7: Turning and Repeating Rectangles Sessions 8 and 9: Designing Rectangle Patterns
enVisionMATH lessons to be taught/incorporated: 9-1 Points, Lines, and Planes
9-2 Line Segments, Rays, and Angles
9-3 Measuring Angles 9-4 Polygons
9-5 Triangles
9-6 Quadrilaterals 9-7 Problem Solving: Make and Test Generalizations
GRADE 5
95 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Grade 5 Contents
Investigations Unit Mathematical Thinking at Grade 5 (Introduction)........................................... 97
Related enVisionMATH topics
Topic 1: Numeration
Topic 3: Multiplying Whole Numbers
Investigations Unit Picturing Polygons (2-D Geometry) ................................................................ 98
Related enVisionMATH topic Topic 8: Shapes
Investigations Unit
Name That Portion (Fractions, Percents, and Decimals) ................................. 99
Related enVisionMATH topics
Topic 9: Fractions and Decimals
Topic 10: Adding and Subtracting Fractions and Mixed Numbers
Topic 11: Multiplying Fractions and Mixed Numbers
Topic 16: Ratio and Percent
Topic 18: Graphs and Data
Investigations Unit
Between Never and Always (Probability) ....................................................... 101
Related enVisionMATH topic
Topic 20: Probability
Investigations Unit Building on Numbers You Know (Computation and Estimation Strategies)..... 101
Related enVisionMATH topics Topic 2: Adding and Subtracting Whole Numbers and decimals
Topic 3: Multiplying Whole Numbers
Topic 4: Dividing by 1-Digit Divisors
Topic 5: Dividing by 2-Digit Divisors
Investigations Unit
Measurement Benchmarks (Estimating and Measuring) ................................. 103
Related enVisionMATH topic
Topic 14: Measurement Units, Time, and Temperature
GRADE 5
96 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Investigations Unit
Patterns of Change (Tables and Graphs) ........................................................ 104
Related enVisionMATH topics
Topic 6: Variables and Expressions
Topic 15: Solving and Writing Equations and Inequalities
Investigations Unit
Containers and Cubes (3-D Geometry, Volume).............................................. 105
Related enVisionMATH topic
Topic 13: Solids
Investigations Unit
Data: Kids, Cats, and Ads (Statistics) ............................................................ 106
Related enVisionMATH topic
Topic 18: Graphs and Data
GRADE 5
97 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Mathematical Thinking at Grade 5 (Introduction)
Related enVisionMATH topics
Topic 1: Numeration
Topic 3: Multiplying Whole Numbers
____________________________________________________________________________
Start with these enVisionMATH lessons:
1-1 Place Value
1-2 Comparing and Ordering Whole Numbers
Investigation 1: Exploring Numbers and Number Relationships
Sessions 1, 2, and 3: Rectangles and Factor Puzzles Sessions 4, 5, and 6: Number Puzzles
enVisionMATH lesson to be taught/incorporated:
1-3 Decimal Place Value
1-4 Comparing and Ordering Decimals 1-5 Problem Solving: Look for a Pattern
Investigation 2: Multiples and Factors Up to 1000
Session 1: Skip Counting and Other Ways to Multiply
Sessions 2, 3, and 4: Factor Pairs from 100 to 1000
Session 5: Exploring Rectangles of 1000 squares
enVisionMATH lessons to be taught/incorporated:
3-1 Multiplication Properties 3-2 Using Mental Math to Multiply
3-3 Estimating Products 3-4 Multiplying by 1-Digit Numbers
3-5 Multiplying 2-Digit by 2-Digit Numbers
3-6 Multiplying Greater Numbers 3-7 Exponents
3-8 Problem Solving: Draw a Picture and Write an Equation
Investigation 3: Multiples and Factors Up to 10,000
Session 1: Comparing Factors of 100, 1000, and 10,000
Sessions 2, 3, and 4: Multiplication and Division Clusters Session 5: Factor Pairs of 1100
Investigation 4: Reasoning About Landmarks up to 10,000
Session 1: Close to 1000 and Close to 0
Sessions 2, 3, and 4: Using Landmarks Up to 10,000 Session 5: Reasoning About Landmarks Up to 10,000
GRADE 5
98 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
_______________________________________________________________________________
Investigations Unit
Picturing Polygons (2-D Geometry)
Related enVisionMATH topics
Topic 8: Shapes
___________________________________________________________________________
Investigation 1: Identifying Polygons
Session 1: Is It a Polygon?
Session 2: Making Polygons
Session 3: Polygon Pictures with Coordinate Geometry Session 4: Coordinate Geometry with Geo-Logo
enVisionMATH lessons replaced:
8-1 Basic Geometric Ideas
8-3 Polygons
Investigation 2: Triangles and Quadrilaterals
Sessions 1, 2, and 3: Sorting Polygons Sessions 4 and 5: Making Shapes That Follow Rules
Sessions 6 and 7: Using Move and Turn Commands
Session 8: Finding Angle Sizes Session 9: Angles and Turns Together
enVisionMATH lessons replaced:
8-4 Triangles
8-5 Quadrilaterals 8-6 Problem Solving: Make and Test Generalizations
Investigation 3: Regular Polygons
Sessions 1 and 2: Regular Polygons
Session 3: Patterns of Angles and Turns
Session 4: Building Similar Shapes Sessions 5 and 6: Similarity activities
enVisionMATH lesson replaced:
8-2 Measuring and Classifying Angles
GRADE 5
99 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Name That Portion (Fractions, Percents, and Decimals)
Related enVisionMATH topics
Topic 9: Fractions and Decimals
Topic 10: Adding and Subtracting Fractions and Mixed Numbers
Topic 11: Multiplying Fractions and Mixed Numbers
Topic 16: Ratio and Percent
Topic 18: Graphs and Data
_________________________________________________________________________
Investigation 1: Exploring Percents and Fractions
Session 1: Connecting Fractions, Decimals, and Percents
Session 2: Percent Grid Patterns
Sessions 3 and 4: Fraction and Percent Grids Sessions 5 and 6: Percent Equivalence Strips
Session 7: Fraction and Percent Problems
enVisionMATH lessons to be taught/incorporated:
9-3 Mixed Numbers and Improper Fractions 9-5 Comparing and Ordering Fractions and Mixed Numbers
9-6 Common Factors and Greatest Common Factor 9-7 Fractions in Simplest Form
16-1 Understanding Ratios
16-4 Finding Percent of a Whole Number 16-5 Problem Solving: Make a Table and Look for a Pattern
enVisionMATH lessons replaced: 9-1 Meanings of Fractions
9-4 Equivalent Fractions
16-2 Understanding Percent 16-3 Percents, Fractions, and Decimals
Investigation 2: Models for Fractions
Sessions 1 and 2: Fractions on Clocks
Session 3: Fraction Strips Sessions 4 and 5: Fraction Tracks
Session 6: The fraction Track Game
Sessions 7 and 8: Fraction Games Session 9: Problems with Fractions
enVisionMATH lessons to be taught/incorporated: 10-2 Common Multiples and Least Common Multiple
10-3 Adding Fractions with Unlike Denominators
10-4 Subtracting Fractions with Unlike Denominators 10-5 Adding Mixed Numbers
GRADE 5
100 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
10-6 Subtracting Mixed Numbers
11-1 Multiplying Fractions and Whole Numbers 11-2 Multiplying Two Fractions
11-3 Multiplying Mixed Numbers
11-4 Relating Division to Multiplication of Fractions 11-5 Problem Solving: Draw a Picture and Write an Equation
enVisionMATH lessons replaced:
10-1 Adding and Subtracting Fractions with Like Denominators
10-7 Problem Solving: Try, Check, and Revise
Investigation 3: Exploring Decimals
Session 1: Interpreting Decimals Session 2: Decimals on Grids
Sessions 3 and 4: Decimal Games
Sessions 5 and 6: Fractions to Decimals Session 7: Fraction, Percent, and Decimal Problems
Session 8: Comparing Fraction Amounts
enVisionMATH lessons to be taught/incorporated: 9-10 Fractions and Decimals on the Number Line
enVisionMATH lessons replaced: 9-2 Fractions and Division
9-8 Tenths and Hundredths
9-9 Thousandths 9-11 Problem Solving: Writing to Explain
Investigation 4: Data and Percents in Circle Graphs (Excursion)
Session 1: Planning Age or Gender Surveys
Session 2: Circle Graphs Sessions 3 and 4: Interpreting Percents
Sessions 5 and 6: Survey Reports
Session 7: Two Days in My Life
enVisionMATH lessons to be taught/incorporated:
18-2 Bar Graphs and Picture Graphs 18-3 Line Graphs
18-4 Stem-and-Leaf Plots
18-5 Histograms 18-7 Mean
18-8 Median, Mode, and Range 18-9 Problem Solving: Make a Graph
enVisionMATH lessons replaced: 18-1 Data from Surveys
18-6 Circle Graphs
GRADE 5
101 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
____________________________________________________________________________
Investigations Unit
Between Never and Always (Probability)
Related enVisionMATH topic
Topic 20: Probability
____________________________________________________________________________
Investigation 1: Finding and Comparing Probabilities
Sessions 1 and 2: Creating a Likelihood Line
Sessions 3 and 4: Using Spinners
Session 5: Testing Guessing Skills Session 6: Guessing Skills Distribution
Session 7: The Scoring Options Game
enVisionMATH lessons to be taught/incorporated:
20-2 Writing Probability as a Fraction 20-4 Problem Solving: Solve a Simpler Problem
enVisionMATH lessons replaced: 20-1 Outcomes
20-3 Experiments and Predictions
Investigation 2: Fair and Unfair Games
Sessions 1 and 2: Rock, Paper, Scissors
Session 3: Does a Fair Game Always Look Fair? Sessions 4 and 5: The Unfair Spinner Game
____________________________________________________________________________
Investigations Unit
Building on Numbers You Know (Computation and Estimation Strategies)
Related enVisionMATH topics
Topic 2: Adding and Subtracting Whole Numbers and Decimals
Topic 3: Multiplying Whole Numbers
Topic 4: Dividing by 1-Digit Divisors
Topic 5: Dividing by 2-Digit Divisors
____________________________________________________________________________
Investigation 1: Exploring Distance Between Numbers
Session 1: Reasoning About Multiples
Session 2: Counting Puzzles Sessions 3 and 4: Exploring Patterns of Multiples
Session 5: Multiple Towers
Sessions 6 and 7: The Digits Game Session 8: Subtraction Strategies
GRADE 5
102 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
enVisionMATH lessons to be taught/incorporated:
2-2 Rounding Whole Numbers and Decimals 2-3 Estimating Sums and Differences
2-4 Problem Solving: Draw a Picture and Write an Equation
2-6 Adding Decimals 2-7 Subtracting Decimals
2-8 Problem Solving: Multiple-Step Problems
enVisionMATH lessons replaced:
2-1 Mental Math 2-5 Adding and Subtracting
Investigation 2: Multiplication and Division Situations
Sessions 1 and 2: Multiplication and Division Strategies
Session 3: Division Strategies
Session 4: What Should We Do with the Extras? Sessions 5 and 6: Relating Multiplication to Division
Session 7: (Excursion) Problems About Our School
enVisionMATH lessons to be taught/incorporated:
3-1 Multiplication Properties 3-2 Using Mental Math to Multiply
3-3 Estimating Products
3-4 Multiplying by 1-Digit Numbers 4-2 Estimating Quotients
4-3 Problem Solving: Reasonableness
4-6 Zeros in the Quotient 4-7 Understanding Factors
4-8 Prime and Composite Numbers
enVisionMATH lessons replaced:
3-5 Multiplying 2-Digit by 2-Digit Numbers 4-1 Dividing Multiples of 10 and 100
4-4 Connecting Models and Symbols
4-5 Dividing by 1-Digit Divisors 4-9 Problem Solving: Draw a Picture and Write an Equation
Investigation 3: Ways to Multiply and Divide
Sessions 1, 2, and 3: Multiplication Clusters
Sessions 4, 5, and 6: Division Clusters
Sessions 7, 8, and 9: How Did I Solve It? Session 10: Ways to Multiply and Divide
enVisionMATH lessons to be taught/incorporated:
3-6 Multiplying Greater Numbers
5-2 Estimating Quotients with 2-Digit Divisors 5-3 Problem Solving: Multiple-Step Problems
5-6 2-Digit Quotients
5-7 Estimating and Dividing with Greater Numbers 5-8 Problem Solving: Missing or Extra Information
GRADE 5
103 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
enVisionMATH lessons replaced:
5-1 Using Patterns to Divide 5-4 Dividing by Multiples of 10
5-5 1-Digit Quotients
Investigation 4: (Excursion) A Million Dots
Session 1: Arrays of Dots Session 2: How Big Is a Million?
enVisionMATH lessons to be taught/incorporated: 3-7 Exponents
3-8 Problem Solving: Draw a Picture and Write an Equation
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Investigations Unit Measurement Benchmarks (Estimating and Measuring)
Related enVisionMATH topics Topic 14: Measurement Units, Time, and Temperature
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Investigation 1: Measures of Length and Distance
Session 1: Exploring Measurement
Session 2: Using Length Benchmarks Session 3: Using Measuring Tools
Session 4: Measuring and comparing
Sessions 5 and 6: Mapping 100 Meters Sessions 7 and 8: (Excursion)How Far Do Products Travel?
Investigation 2: Measures of Weight and Liquid Volume
Sessions 1 and 2: Grocery Package Contents
Session 3: Working with Units of Weight Session 4: Working with Units of Liquid Volume
Session 5: Comparing Weight and Quantity
Session 6: Writing About Weight and Liquid Measure Sessions 7 and 8: (Excursion) Ordinary and Amazing Vegetables
enVisionMATH lessons to be taught/incorporated: 14-4 Converting Customary Units
14-5 Converting Metric Units
enVisionMATH lessons replaced:
14-1 Customary Units of Capacity 14-2 Metric Units of Capacity
14-3 Units of Weight and Mass
Investigation 3: It’s About Time
Session 1: Estimating Half a Minute
GRADE 5
104 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
Session 2: Commercial Minutes
Session 3: Making Sense of Years
enVisionMATH lessons to be taught/incorporated:
14-6 Elapsed Time 14-7 Elapsed Time in Other Units
14-8 Temperature Change
14-9 Problem Solving: Make a Table
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Investigations Unit Patterns of Change (Tables and Graphs)
Related enVisionMATH topics Topic 6: Variables and Expressions
Topic 15: Solving and Writing Equations and Inequalities
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Investigation 1: Number Patterns in Changing Shapes
Sessions 1 and 2: Analyzing Tile Patterns
Sessions 3 and 4: Four growing Tile Patterns
enVisionMATH lessons to be taught/incorporated:
6-1 Variables and Expressions
6-2 Patterns and Expressions 6-3 More Patterns and Expressions
6-4 Distributive Property
6-5 Order of Operations 6-6 Problem Solving: Act It Out and Use Reasoning
15-1 Solving Addition and Subtraction Equations 15-2 Solving Multiplication and Division Equations
15-3 Inequalities and the Number Line
15-4 Patterns and Equations 15-5 Problem Solving: Draw a Picture and Write an Equation
Investigation 2: Motion Stories, Graphs and Tables
Session 1: Describing Changing Speeds
Session 2: From Beanbags to Tables
Session 3: Tables for Stories Session 4: Graphs for Tables
Session 5: Stories, Tables, and Graphs
Investigation 3: Computer Trips on Two Tracks
Session 1: Ways of Making Trips Session 2: Trips on Two Tracks
Session 3: Different Kinds of Trips
Session 4: More Match-Ups Sessions 5 and 6: Two Types of Graphs
Session 7: (Excursion) Animation
GRADE 5
105 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
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Investigations Unit
Containers and Cubes (3-D Geometry, Volume)
Related enVisionMATH topic
Topic 13: Solids
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Investigation 1: The Packaging Factory
Sessions 1 and 2: How Many Cubes?
Sessions 3 and 4: Doubling and Halving Boxes of Cubes
enVisionMATH lesson to be taught/incorporated:
13-3 Surface Area
enVisionMATH lesson replaced:
13-5 Volume
Investigation 2: Packing Problems
Sessions 1 and 2: Packing Packages of Different Sizes Sessions 3 and 4: Designing Boxes
Session 5: More Packing Problems
Investigation 3: Measuring the Space in Our Classroom
Sessions 1 and 2: Measuring the Space in a Box
Session 3: The Space Inside Our Classroom Session 4: (Excursion) Measuring the Space in Other Rooms
Investigation 4: Prisms, Pyramids, Cylinders, and Cones
Session 1: Comparing Volumes
Sessions 2 and 3: Comparing Volumes of Related Shapes Sessions 4 and 5: Using Standard Volume Units
Session 6: (Excursion) How Do the Heights Compare?
Sessions 7, 8, and 9: Building Models
enVisionMATH lessons to be taught/incorporated:
13-6 Irregular Shapes and Solids 13-7 Problem Solving: Use Objects and Solve a Simpler Problem
enVisionMATH lessons replaced: 13-1 Solids
13-2 Relating Shapes and Solids 13-4 Views of Solids
GRADE 5
106 Grade 5, Plan 2 Designed for enVisionMATH users who would like to use an Investigations unit as a replacement for some enVisionMATH lessons
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Investigations Unit
Data: Kids, Cats, and Ads (Statistics)
Related enVisionMATH topic
Topic 18: Graphs and Data
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Investigation 1: Balancing Act
Session 1: Standing on One Foot
Sessions 2 and 3: Comparing Student and Adult Data
Session 4: Mystery Balancers
enVisionMATH lessons replaced:
18-1 Data from Surveys 18-2 Bar Graphs and Picture Graphs
18-3 Line Graphs 18-5 Histograms
18-9 Problem Solving: Make a Graph
Investigation 2: Examining Cats
Session 1: A Set of Cats
Session 2: Associations: Are Female cats Shorter? Session 3: (Excursion) Using the Computer to Investigate Cats
Investigation 3: Sampling Ourselves
Session 1: Review: Fractions, decimals, Percents
Sessions 2 and 3: Sampling the Classroom
Session 4: The Classroom as a Sample
enVisionMATH lessons to be taught/incorporated: 18-4 Stem-and-Leaf Plots
18-6 Circle Graphs
18-7 Mean 18-8 Median, Mode, and Range
Investigation 4: A Sample of Ads
Session 1: Fractions of Newspaper Ads
Session 2: Collecting Data from Ten Days
Session 3: Combining Ad Data Across Pages
Investigation 5: Researching Play Injuries
Session 1: Issues of Playground Safety
Session 2: Collecting Playground Data
Sessions 3, 4, and 5: Analyzing and Presenting Data
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