oklahoma city public schools math 5th grade · oklahoma city public schools pacing guide is...

Oklahoma City Public Schools MATH

5TH GRADE

Pacing Guide Purpose

Oklahoma City Public Schools pacing guide is intended to assist in pacing instruction and assist teachers in combining standards in meaningful ways to support student mastery. The length recommended for each unit is based on prioritization of standards leading to college and

career readiness. A framework has been established to support teacher planning and provide more consistency from class to class across the district. This framework will minimize the effects of students’ mobility within Oklahoma City Public Schools.

Flex Periods

Flex periods allow time between units for re-teaching, enriching, and extending learning. Additionally, flex periods will be utilized for pre-assessing students’ understanding of the next unit’s standards to plan instruction. Flex periods between units will assist in accommodating students’ rate of learning and accommodate changes to the school calendar.

Math Pacing Guide Everyday Math

5TH GRADE Instructional Dates Unit: 1 Lessons: 1.1 – 1.4

Lesson Title/Objective

Focus

Common Core

Standards

OCCT Testing%

Writing Vocabulary

Games/Literature

1-1

Introduction to the Student

Reference Book To acquaint students with the content and organization of the Math Journal and Student Reference Book.

Introduces students to the Student Reference Book that will be

used as a resource throughout the school year.

SMP3, 5;

5.OA.2,

5.NBT.2

PASS 32%

CCSS TLG pg. 19 MB # 4

Math Talk: Mathematical Ideas in Poems for Two Voices by Theoni Pappas

1-2

Rectangular Arrays

To review rectangular arrays and the use of multiplication number models to represent such arrays. Focuses on the relationship between rectangular arrays and

multiplication.

SMP2–4, 6–8;

5.NBT.2

32% *rectangular array *number model *Commutative Property of Multiplication *turn-around rule (for multiplication)

1-3

Factors

To provide a review of the meanings of factor and product; and to provide opportunities to factor numbers and apply multiplication facts. Focuses on solving problems involving multiplication

SMP1, 2, 4–6;

5.OA.2

32% *factor *product *factor pair

skills and factors of numbers, and introduces the

Multiplication Facts Routine.

1-4

The Factor Captor Game

To review divisibility concepts.

Reviews the meaning of divisibility and the Factor

Captor game.

5.OA.2,

5.NF.5a

32%

Instructional Dates Unit: 1 Lessons: 1. 5 – 1.8


Focus

Common Core

Standards

OCCT Testing %

Writing Vocabulary

Games/lLiterature

1-5

Divisibility

To introduce divisibility rules for division by 2, 3, 5, 6, 9, and 10; and how to use a calculator to test for divisibility by a whole number. Provides practice determining whether a number is divisible by

another number.

SMP1, 3, 5, 6,

8;

5.NBT.2

PASS 32%

CCSS TLG pg. 40 MB #6

*factor rainbow *divisible by *quotient *divisibility rule

Factor Captor SRB pg. 306

1-6

Prime and Composite Numbers

To introduce the classification of whole numbers greater than 1 as either prime or composite. Focuses on determining whether a whole number is

prime or composite while developing a strategy for the Factor

Captor game.

SMP1–3, 6, 8;

5.NBT.2

32%

*composite number *prime number

1-7

Square Numbers

To introduce square numbers and the exponent key on a calculator. Focuses on the concept of square numbers and

introduces exponent notation.

SMP2, 3, 5–8;

5.OA.2

32%

*square array *square number *exponential notation *exponent key *exponent

Factor Bingo TG pg. 50 MM pg. 452

1-8

Unsquaring Numbers

To introduce the concept of square roots and the use of the square-root key on a calculator.

SMP1–3, 5, 6;

5.OA.2,

5.NBT.2

32%

TLG PG. 56 MB #3

*unsquaring a number *square root *square-root

Multiplication Top-It (Extended Facts Version)

Focuses on square roots as the opposite of squaring a

number

key TG 52 MM pg. 493

Performance Task

or Project Based

Learning

TLG pg. 440 Project #1 “The Sieve of Eratosthenes

Assessment

Instructional Dates Unit: 1 & 2 Lessons: 1.9 – 2.2


Focus

Common Core

Standards

OCCT Testing %

Writing Vocabulary

Games/Literature

1-9

Factor Strings and Prime

Factorizations

To review equivalency concepts for whole numbers; and to introduce factor strings and prime factorization. Focuses on using factors to create factor strings and

factor trees to find the prime factorization of a number.

SMP1–4;

5.OA.1,

5.NBT.2

PASS 32%

CCSS *name collection box *factor string *length of factor string *prime factorization

12 Ways to Get to 11 by Eve Merriam

1-10

Progress Check 1

To assess students’ progress on mathematical content through the end of Unit 1. Checks students’ progress at the end of Unit 1.

32%

2.1

Estimation Challenge

To develop estimation strategies when finding an exact answer is impractical. Focuses on estimating and converting measurement

from miles to the number of steps and from inches to miles.

SMP1–6, 8;

5.NBT.2,

5.MD.1

PASS 32%

CCSS *estimate *median

Counting on Frank by Rod Clement

2.2

Addition of Whole Numbers and

Decimals

To review place-value concepts and the use of the partial-sums and column-addition methods.

SMP1, 3, 5, 6,

8;

5.NBT.1,

5.NBT.3a,

5.NBT.4,

32%

TLG pg. 89

*place *value *digit *algorithm *partial-sums method

Addition Top-It (Decimal Version)

Focuses on addition strategies to solve number sentences

involving decimals.

5.NBT.7 *place value *expanded notation *column-addition method

Performance Task

or Project Based

Learning

** TLG p.967 Project #2 “Deficient, Abundant, and Perfect Numbers” – Use after Unit 1 is completed **TLG pg. A1 Algorithm Project #1 “U.S. Traditional Addition” (Recommended for use after 2.2) **TLG pg. A6 Algorithm Project #2 “U.S. Tradional Addition: Decimals” (Recommended for use after 2.3)

Assessment Performance Task Rubric

Instructional Dates Unit: 2 Lessons: 2.3 – 2.6


Focus

Common Core

Standards

OCCT Testing %

Writing Vocabulary

Games/Literature

2-3

Subtraction of Whole Numbers and

Decimals

To review the trade-first and partial-differences methods for subtraction.

Focuses on subtraction strategies to solve number sentences

involving decimals.

SMP1, 3, 5, 6,

8;

5.NBT.1,

5.NBT.3a,

5.NBT.4,

5.NBT.7

32%

TLG pg. 96 MB pg. #5

*trade-first method *minuend *subtrahend *difference *partial-difference method

Subtraction Target Practice (Decimal Version)

2.4

Addition and Subtraction Number

Stories

To review the use of mathematical models to solve number stories. Provides practice using addition and subtraction strategies to

solve problems involving decimals.

SMP1–4, 6, 8;

5.OA.1,

5.OA.2;

5.NBT.3a,

5.NBT.7

PASS 32%


*number sentence *true number sentence *false number sentence *variable *open number sentence *relation symbol *operation symbol *solution

Name That Number SRB pg. 325

2-5

Estimate Your Reaction Time

To provide experiences with estimating reaction times and with using statistical landmarks to describe experimental data.

Focuses on representing and interpreting data found on a line

plot.

SMP1, 2, 5, 6,

8;

5.NBT.3a,

5.NBT.3b,

5.NBT.4,

5.NBT.7,

32%

TLG pg. 108 MB #5a

*stimulus *reaction time *elapsed time *mean(average) *mode *range *minimum

High Number Toss (Decimal Version) SRB pg. 321

5.MD.2 *maximum

2-6

Chance Events

To review vocabulary associated with chance events and to introduce the Probability Meter.

Focuses on the relationship between fractions,

decimals, and percents and their use in probability.

SMP1–6

32%

*impossible *certain *Probability Meter Poster

Performance Task

or Project Based

Learning

TLG p. 446 Project #3 “An Ancient Multiplication Algorithm”


Instructional Dates Unit: 2 Lessons: 2.7 – 2.9 (PD/Labor Day)

Lesson Title/Objective Focus Common

Core Standards

OCCT Testing %

Writing Vocabulary

Games/Literature

2-7

Estimating Products

To provide experiences with making and using magnitude estimates for products of multidigit numbers, including decimals.

Focuses on using

estimation as a

strategy for

multiplying whole

numbers and

decimals.

Students practice

these skills by

playing

Multiplication Bull’s Eye.

SMP1, 3, 5, 6;

5.NBT.2,

5.NBT.4,

5.NBT.7

32%

TLG pg. 118 MB #5b

*magnitude estimate

Multiplication Bull’s Eye SRB pg. 323

2-8

Multiplication of

Whole Numbers and

Decimals

To review the partial-products method for whole numbers and decimals.

Provides

additional

practice using

strategies to

solve

problems

involving

decimals.

SMP2, 3, 5, 6,

8;

5.NBT.2,

5.NBT.3a,

5.NBT.4,

5.NBT.7

PASS 32%

CCSS *partial-products method *magnitude estimate *ballpark estimate

2-9

The Lattice Method of

Multiplication

To review and provide practice with the lattice method for multiplication of whole numbers and

Introduces the

lattice method for

multiplication as a

strategy for

solving problems

SMP1, 5, 6, 8;

5.NBT.2,

5.NBT.7

32%

*lattice method *lattice

Factor Bingo MM pg. 452

decimals. involving

decimals.

Performance Task

or Project Based

Learning

**TLG p. A11 Algorithm Project #3 “U.S. Traditional Subtraction” **TLG p. A16 Algorithm Project #4 “U.S. Traditional Subtraction: Decimals” (Recommended for use after 2.3) **TLG p. A22 Algorithm Project #5 “U.S. Traditional Multiplication” **TLG p. A27 Algorithm Project #6 “U.S. Traditional Multiplication: Decimals” (Recommended for use after 2.9)




Focus

Common Core

Standards

OCCT Testing %

Writing Vocabulary

Games/Literature

2-10

Comparing Millions, Billions, and

Trillions

To provide experience with comparing the relative sizes of 1 million, 1 billion, and 1 trillion and using a sample to make an estimate. Focuses on comparing the relative sizes of large numbers and

using a sample of data to make an estimate.

SMP1, 3–6;

5.NBT.1,

5.MD.1

32%

*sample High-Number Toss SRB pg. 320 MM pg. 487 How Much is a Million? By David M. Schwartz

2-11

Progress Check 2

To assess students’ progress on mathematical content through the end of Unit 2. Checks students’ progress at the end of Unit 2.

PASS 32%

CCSS Open Response AH pg. 163

3-1

Introduction to the American Tour

To explore data collection, organization, and interpretation. Focuses on comparing census data.

SMP1–6;

5.NBT.3b

14% *census High Number Toss: Decimal Version

3-2

American Tour: Population Data

To provide experiences with interpreting data. Focuses on comparing large values of data.

SMP2, 4–6, 8;

5.OA.2,

5.NBT.2

14%

Performance Task

or Project Based

TLG p. 449 Project # 4 “Magic” Computation Tricks

Learning




Focus

Common Core

Standards

OCCT Testing %

Writing Vocabulary

Games/Literature

3-3

Exploring Angle Measures

To relate circles and relationships among angles to the degree measures of angles. Focuses on using critical thinking skills to determine angle

measures. Angle exploration continues throughout the

rest of Unit 3.

SMP1–3, 6, 7 14% TLG p. 168 MB #1

Play a Variation of Multiplication Top-It

3-4

Using a Protractor

To review types of angles, geometric figures, and the use of the Geometry Template to measure and draw angles.

Focuses on the classification scheme of angles and measuring

angles using a protractor.

SMP2, 3, 5–8;

5.G.3

14% *acute angle *obtuse angle *right angle *straight angle *reflex angle *geometry template *arc

G is for Googol by David M. Schwartz

3-5

Using a Compass

To review compass skills and explore angles formed by intersecting lines.

Focuses on using a compass to measure lengths of line

segments.

SMP2, 3, 5–8;

5.NBT.2,

5.NBT.3b

PASS 14%


*radius *diameter *vertical (or opposite) angles *adjacent angles

High Number Toss: Decimal Version

3-6

Congruent Triangles

To explore triangle types and introduce methods for copying triangles.

Focuses on using a compass as a mathematical tool.

SMP1–3, 5–8;

5.NBT.4

14% TLG pg. 187 MB #4

*equilateral triangle Isosceles triangle *scalene

Angle Tangle SRB p.296 What’s Your Angle,

triangle *congruent triangle

Pythagoras? By Julie Ellis

3-7

Properties of Polygons

To explore the geometric properties of polygons. Focuses on the characteristics of polygons and

introduces the game,

SMP2, 3, 6–8;

5.G.3, 5.G.4

14% TLG pg. 192 MB #4

*polygon *quadrangle

The Greedy Triangle by Marilyn Burns

Performance Task

or Project Based

Learning




Focus

Common Core State Standards

OCCT Test % Writing Vocabulary

Games/

Literature

PASS CCSS

3-8

Regular Tessellations

To explore side and angle relationships in regular tessellations and compare and classify quadrangles.

Focuses on characteristics of polygons and attributes of a

quadrangle’s classification.

SMP2, 3, 5–8;

5.NBT.2,

5.NBT.3a

14% TLG pg. 197 MB #6

*regular polygon *tessellation *regular tessellation *tessellate *tessellation vertex

Angle Tangle SRB pg. 296 MM pg. 444 A Cloak for the Dreamer by Eileen Friedman

3-9

Angles of Polygons

To develop an approach for finding the angle measurement sum for any polygon.

Focuses on characteristics of the angles of polygons.

SMP2, 3, 5–8;

5.NBT.2,

5.NBT.3a

14%

TLG pg. 204 MB #4

3-10

Solving Problems Using the

Geometry Template

To review polygon attributes and vocabulary using the Geometry Template.

Using Geometry Template to solve problems.

SMP1–3, 5, 6 14% *radius *diameter *pentagon *perimeter

Polygon Capture SRB p. 328

3-11

Progress Check 3

To assess students’ progress on mathematical content through the end of Unit 3.

Checks students’ progress at the end of Unit 3.

14%

Performance Task

or Project Based

Learning




Focus



Games/

Literature

PASS CCSS

4-1

Division Facts and Extensions

To review multiplication and division facts and apply basic facts to division with 1-digit divisors.

Provides practice of division facts and introduces a mental division

strategy.

SMP1, 2, 5–8;

5.OA.1, 5.OA.2,

5.NBT.2,

5.NBT.6,

5.NF.5a, 5.G.3,

5.G.4

32% *dividend *divisor *quotient *multiples

Name That Number SRB p. 325 One Hundred Hungry Ants by Elinor J. Pinczes

4-2

The Partial-Quotients Division

Algorithm

To review the partial-quotients division algorithm with whole numbers.

Part 1: Focuses on partial-quotients division algorithm as a

strategy to solve division problems and introduces the

Division Dash game.

SMP1–3, 5–7;

5.NBT.6

32% TLG p. 240 MB #4

*dividend *divisor *partial quotient *quotient *remainder

Introducing “Division Dash” SRB p. 303 Anno’s Magic Seeds by Anno Misumasa

4-3

American Tour: Finding Distances on

a Map

To develop strategies for estimating straight-path distances using a map scale.

Focuses on converting between a given map scale and number of

miles.

SMP1–6;

5.OA.1

32% *map legend, or map key *map scale

4-4

Partial-Quotients Algorithm

Strategies

To provide practice with strategies for the partial quotients algorithm.

Provides practice using the partial-quotients algorithm

as a division strategy and introduces the Divisibility Dash

game

SMP1–4, 6–8;

5.NBT.6

32% *multiple *divisor *partial quotient *dividend

Introducing “Divisibility Dash” SRB p. 302

Performance Task

or Project Based

Learning

**TLG p. A32 Algorithm Project #7 “U.S. Traditional Long Division” (Recommended for use after 4.2)




Focus



Games/

Literature

PASS CCSS

4-5

Division of Decimal Numbers

To provide experience with making magnitude estimates for quotients and using the partial quotients algorithm with decimals.

Focuses on magnitude estimates as a strategy for solving problems

involving division.

SMP1–6;

5.NBT.7

32% TLG p. 257 MB #1

*decimal point *magnitude estimate

Division Top-It (3-Digit Dividend)

4-6

Interpreting the Remainder

To provide practice solving division number stories and interpreting remainders.

Focuses on division problems involving remainders.

SMP1, 2, 4–6;

5.OA.2,

5.NBT.6,

5.NBT.7

32% TLG p. 263 MB #3

A Remainder of One by Elinor J. Pinczes

4-7

Skills Review with First to 100

To investigate the use of variables, review a variety of mathematics skills, and explore division concepts.

Introduces the First to 100 game and focuses on reviewing a

variety of mathematical skills.

SMP1, 2, 5, 6,

8;

5.OA.2,

5.NBT.2

32% TLG p. 269 MB #4f

*variable

Division Dash SRB p. 303

4-8

Progress Check 4



32%

Performance Task

or

**TLG p. A40 Algorithm Project #8 “U.S. Traditional Long Division w/ Decimal Dividends (Recommended for use after 4.5 and Algorithm Project #7)

Project Based Learning

**TLG p. A 43 Algorithm Project #9 “U.S. Traditional Long Division: Decimals” (Recommended with 4.5 and Algorithm Project #8)




Focus



Games/

Literature

PASS CCSS

5-1

Fraction Review

To review key fraction concepts; to provide practice with solving parts-and-whole problems and finding fractional parts of whole numbers; and to interpret a fraction as division.

Focuses on the relationship between fractions and division.

SMP1–6;

5.NF.3

32% *whole (ONE, or unit) *denominator *numerator *unit fraction

Fraction Top-It SRB p. 316 Fourscore and 7: Investigating Math in American History by Betsy Franco

5-2

Mixed Numbers

To review the whole; and to provide experience with mixed-number and improper fraction concepts Focuses on the relationship between mixed numbers and improper

fractions in preparation for Lesson 5-3.

SMP1–3, 5, 6 32% *improper fraction *mixed number

5-3

Comparing and Ordering Fractions

To review equivalent fractions; to compare and order fractions; and to explore fraction addition.

Focuses on using equivalent fractions as a method for comparing

fractions.

SMP2, 3, 5–8;

5.NF.1, 5.NF.2

32% TLG p. 306 MB #2

*benchmark *fraction stick *equivalent fraction

Fraction Top-It SRB p. 316

5-4

Two Rules for Finding Equivalent

SMP1, 2, 4, 6–

8

32% *equivalent fractions

Factor Captor SRB p. 306

Fractions

To introduce multiplication and division rules for finding equivalent fractions.

Focuses on multiplication and division as a strategy for

determining equivalent fractions to build on skills learned in

Lesson 5-3.

MM p.454-455

Performance Task

or Project Based

Learning




Focus



Games/

Literature

PASS CCSS

5-5

Fractions and Decimals: Part 1

To provide practice with renaming fractions as decimals; and to review rounding decimals.

Focuses on the relationship between fractions and decimals.

SMP1, 2, 4–6,

8;

5.NBT.3a,

5.NBT.4

32% *round down *round up *round to the nearest….

Estimate Squeeze SRB p. 304

5-6


To provide experience with several graphic models for renaming fractions as decimals.

Continues to focus on the relationship between fractions and

decimals.

SMP1–3, 5–7;

5.NBT.3a,

5.NBT.4,

5.NF.3

32% Number Top-It (3 place decimals) SRB p.327 MM p. 493

5-7


To use a calculator to find decimal equivalents for fractions.

Continues to focus on the relationship between fractions and

decimals.

SMP1, 2, 5–7;

5.NBT.3a

32% TLG p. 329 MB #1

*repeating decimal

Introducing 2-4-5-10 Frac-Tac-Toe (decimal version) SRB p. 309-311 MM p. 472 & 474

5-8

Using a Calculator to Convert

Fractions to Percents

To discuss the meaning and uses of percents; and to introduce using a calculator to convert decimals to percents.

SMP1–6;

5.NBT.3a,

5.NBT.4

32 % TLG p. 335 MB #5

*percent *2-4-5-10 Frac-Tac-Toe (percent version) *Fraction/ Percent

Focuses on the relationship between fractions, decimals, and

percents.

Conc. SLB p. 315 MM p. 467-468

Performance Task

or Project Based

Learning

TLG p. 453 “How Would You Spend $1,000,000?”


Instructional Dates Unit: 5 Lessons: 5.9 - 5.12


Focus



Games/

Literature

PASS CCSS

5-9

Bar and Circle Graphs

To review the properties and construction of bar graphs; and to discuss the properties of circle graphs.

Focuses on bar graphs and circle graphs as a way to organize data.

SMP1, 2, 4, 6;

5.NBT.3a

14% TLG p. 340 MB #3

*bar graph *circle (or pie) graph

5-10

The Percent Circle: Reading Circle

Graphs

To introduce the use of the Percent Circle to measure circle graph sectors.

Focuses on reading and interpreting data on a circle graph in

preparation for Lesson 7-10.

SMP1, 2, 5, 6 14% *Percent Circle *sector

5-11

The Percent Circle: Making Circle

Graphs

To introduce constructing circle graphs using the Percent Circle.

Focuses on organizing and interpreting data on a circle graph.

SMP1–6;

5.NBT.7

14% Fraction Of SRB p. 313 MM p. 464-466

5-12

American Tour: School Days

To extend the American Tour with information about mathematics instruction and related historical problems.

Focuses on finding and interpreting data and the relationship

between fractions, decimals, and percents.

SMP1–8;

5.OA.1

14% TLG p. 358

Name That Number SRB p. 325

Performance Task

or Project Based

Learning


Instructional Dates Unit: 5 & 6 Lessons: 5.13– 6.3


Focus



Games/

Literature

PASS CCSS

5-13

Progress Check 5



14%

6-1

Organizing Data

To review data landmarks and methods for organizing data.

Focuses on landmarks as a way of interpreting data.

SMP1–7;

5.NBT.4,

5.MD.2

14% TLG p. 382 MB #1

*minimum *maximum *mode *median *landmark *line plot

Do You Wanna Bet?: Your Chance to Learn About Probability by Jean Cushman

6-2

Natural Measures of Length

To develop measurement and probability concepts.

Provides practice measuring and converting between units. Finish

First is introduced and will be played for several days.

SMP1, 2, 5, 6,

8;

5.NBT.3a,

5.MD.1

14% *fathom *cubit *fair game

Esio Trot by Roald Dahl

6-3

Stem-and-Leaf Plots for Hand and

Finger Measures

To introduce stem-and-leaf plots; and to provide practice measuring lengths and using a protractor.

Focuses on the stem-and-leaf plot as a method for organizing data.

SMP2, 4–6;

5.NBT.3a

14% *span *normal span *great span *stem-and-leaf plot *stem *leaf

Finish First MJ 1, pp. 170-171

*angle of separation

Performance Task

or Project Based

Learning


Instructional Dates Unit: 6 Lessons: 6.4 – 6.5 (Thanksgiving)


Focus



Games/

Literature

PASS CCSS

6-4

Mystery Plots

To provide experiences with data presented in line plots and stem-and-leaf plots.

Provides practice reading and interpreting data found in line plots

and stem-and-leaf plots.

SMP1–4, 6;

5.NBT.4

14% TLG p. 398 MB #5

Finish First MJ 1 pp. 170-171

6-5

Sample Size and Sound Conclusions

To investigate the relationship between sample size and the reliability of derived results.

Provides practice converting between fractions and percents.

SMP1–6;

5.NBT.7

14% TLG p. 404 MB #4a

*sample *population

Finish First MJ 1 pp. 170-171

Performance Task

or Project Based

Learning




Focus



Games/

Literature

PASS CCSS

6-6

Analysis of Sample Data

To provide experiences with displaying and analyzing data.

Students collect and analyze data gathered from playing Finish

First.

SMP1–6 14% *sample *survey *population *frequency table

Frac-Tac-Toe SRB pp. 309-310 MM p. 472 & 474

6-7

American Tour: Climate

To introduce contour maps as data displays. Provides practice reading and interpreting data from a contour map.

SMP1–6;

5.NBT.7

14% TLG p. 415 MB #4a

*contour map *climate *precipitation *map legend (map key) *contour line

6-8

Using Benchmarks with Fraction

Addition and Subtraction

To review estimating with fractions using benchmarks.

Focuses on benchmarks as a strategy for solving fraction addition

and subtraction problems.

SMP1–3, 5–7;

5.NF.1, 5.NF.2,

5.NF.3

14% Fraction Top-It (Advanced Version) SRB p.316 MM p. 493 Fraction Action by Loreen Leedy

6-9

Clock Fractions and Common

Denominators

SMP1–3, 5–8;

5.NF.1, 5.NF.2,

5.NF.5b

32% TLG p. 427 MB #3

*common denominator *unlike denominators

Fraction Capture MJ 1 p. 198 MM p. 460

To provide additional references for fraction concepts

Focuses on using a clock and common denominators as a strategy

for solving fraction addition and subtraction problems.

Gator Pie* by Louise Matthews

Performance Task

or Project Based

Learning




Focus



Games/

Literature

PASS CCSS

6-10

Quick Common Denominators

To reinforce the use of common denominators to compare, add, and subtract fractions.

Focuses on common denominators as a strategy for solving fraction

addition and subtraction problems.

SMP1, 2, 5–8;

5.NF.1, 5.NF.2

32% TLG p. 432 MB #3

*quick common denominator *simplest form

6-11

Progress Check 6



32%

7-1

Exponential Notation

To develop concepts related to exponential notation.

Focuses on working with exponents and introduces the Exponent

Ball game.

SMP1–3, 5, 6;

5.NBT.2

32% TLG p. 545

*standard notation *exponential notation *base *exponent *factor *power of a number

G is for Googol by David M. Schwartz

7-2

Exponential Notation for Powers

of 10

To introduce number-and-word notation for large numbers and exponential notation for powers of 10.

Focuses on writing large powers of ten in exponent notation.

SMP1–4, 6, 7;

5.NBT.1,

5.NBT.2

32% *number-and- word notation *powers of 10

First to 100 SRB p. 308 MM p. 456-458 Can You Count to a Googol? by Robert E. Wells

Performance Task

or Project Based

Learning


Instructional Dates Unit: 7 Lessons: 7.3 – 7.4 (Winter Break)


Focus



Games/

Literature

PASS CCSS

7-3

Scientific Notation

To introduce scientific notation. Focuses on how large numbers can be written in exponent notation

and introduces the Scientific-Notation Toss game.

SMP1, 2, 4–8;

5.NBT.2

32% *expanded notation *scientific notation

Scientific-Notation Toss SRB p. 329 Anno’s Mysterious Multiplying Jar by Misumasa and Masaichiro Anno King’s Chessboard by David Birch

7.4

Parentheses in Number Sentences

To review the use of parentheses. Provides practice matching number stories to the correct

expressions.

SMP2–4, 6, 8;

5.OA.1, 5.OA.2,

5.NBT.2

32% TLG p. 560 MB #2

*expression *ambiguous *nested parentheses


Performance Task

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PASS CCSS

7.5

Order of Operations

To introduce the rules for order of operations. Introduces the order of operations for solving equations.

SMP1–4, 6–8;

5.OA.1, 5.OA.2

32% *order of operations

7.6

American Tour: Line Graphs

To introduce the construction of line graphs. Focuses on reading and interpreting data to create a line graph.

SMP1–6;

5.NF.1

14% TLG p. 571 MB #3

*axis *Venn Diagram *line graph *trend

7.7

Using Negative Numbers

To review the uses, ordering, and comparing of negative numbers.

Focuses on the location of positive and negative numbers on a

number line and using this location to compare numbers.

SMP1–4, 6–8;

5.OA.1,

5.NBT.2

32% TLG p. 576 MB #4a

*negative number

Name That Number SRB p. 325 MM p. 490 *Less Than Nothing is Really Something

by Robert Froman

7.8

Addition of Positive and Negative Numbers

To develop rules for adding positive and negative numbers. Focuses

on adding positive and negative numbers, which can be applied to

skills in Lesson 10-4.

SMP2–8 32% *account Balance *debt *in the black *in the red

Credits/ Debits Game (Advanced Version) SRB p. 301 MM p. 450 Playing 500 MJ2 p. 235

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PASS CCSS

7.9

Subtraction of Positive and Negative

Numbers

To develop a rule for subtracting positive and negative numbers.

Focuses on subtracting positive and negative numbers, which can

be applied to skills in Lesson 10-4.

SMP2–4, 6–8;

5.NBT.3b

32% High-Number Toss: Decimal Version SRB p. 321 MM p.511

7.10

Line Plots

To provide experience creating and interpreting line plots with fractional units.

Focuses on organizing and interpreting data found on a line plot.

SMP1, 2, 4–6;

5.NBT.5,

5.NBT.6,

5.NBT.7, 5

NF.1,

5 NF.2, 5.MD.2

32%

7.11

Calculator Practice: Working with

Negative Numbers

To facilitate exploring the use of calculators to add and subtract positive and negative numbers.

Provides practice using strategies to add and subtract positive and

negative numbers, which can be applied to skills in Lesson 10-4.

SMP1–6;

5.NF.3

32% TLG p. 599 MB #2a

*negative number *opposite *change sign key

Top-It Games with Positive and Negative Numbers SRB p. 336 Broken Calculator MM p. 216

7.12

Progress Check 7

To assess students’ progress on mathematical content through the

32%

end of Unit 7. Checks students’ progress at the end of Unit 7.

Performance Task

or Project Based

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PASS CCSS

8.1

Review: Comparing Fractions

To review the use of equivalent fractions in comparisons.

Focuses on equivalent fractions as a strategy to compare fractions,

and students play Build It.

SMP1–3, 5, 6,

8;

5.NF.1, 5.NF.2,

5.NF.5b

32% *Quick Common Denominator (QCD)

*Eating Fractions by Bruce McMillan Only One by Marc Harshman

8.2

Adding Mixed Numbers

To develop addition concepts related to mixed numbers.

Focuses on strategies to add mixed numbers.

SMP1–3, 5, 6,

8;

5.NF.1, 5.NF.2

32% TLG p. 628 MB #5

Fraction Capture MJ1 p. 198 MM p. 460

8.3

Subtracting Mixed Numbers

To develop subtraction concepts related to mixed numbers.

Focuses on strategies to subtract mixed numbers.

SMP1, 2, 5, 6;

5.NF.1, 5.NF.2,

5.G.3, 5.G.4

32% TLG p. 634 MB #3c

Mixed-Number Spin MJ2 p. 255 MM p. 488-489

8.4

Calculator Practice: Computation with Fractions

To provide practice adding fractions with unlike denominators and using a calculator to solve fraction problems.

Provides practice using strategies for adding numbers with unlike

denominators and introduces the Fraction Action, Fraction

Friction game.

SMP1–6;

5.NF.1, 5.NF.2

32% TLG p. 639

Introduces Fraction Action, Fraction Friction SRB p. 312 MM p. 459

Performance Task

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Project Based Learning




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PASS CCSS

8.5

Fractions of Fractions

To introduce finding a fraction of a fraction. Focuses on strategies to

find a fraction of a fraction.

SMP1–6;

5.NF.4a,

5.NF.5a,

5.NF.6

32% TLG p. 647 MB #2

*vertical *horizontal

Fraction Spin MJ2 p. 262 MM p. 471

8.6

An Area Model for Fraction Multiplication

To develop a fraction multiplication algorithm. Focuses on an area model as a strategy for multiplying fractions.

SMP1–4, 6–8;

5.NF.4a,

5.NF.5a,

5.NF.5b,

5.NF.6

32% *area model

8.7

Multiplication of Fractions and Whole Numbers

To provide experience finding the product of a whole number and a fraction.

Focuses on strategies for multiplying whole numbers and fractions.

SMP1, 2, 4, 6–

8;

5.OA.1,

5.NF.4a,

5.NF.5b,

5.NF.6

32% Name That Number SRB p. 325

8.8

Multiplication of Mixed Numbers

To introduce multiplication with mixed numbers. Focuses on strategies for solving multiplication problems involved

mixed numbers.

SMP1–6, 8;

5.NF.4a,

5.NF.4b,

5.NF.5a,

5.NF.5b,

5.NF.6

32% TLGp. 662b MB #4b

Frac-Tac-Toe SRB p. 309-311 MM p. 472-484

Performance Task

or Project Based

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8.9

Finding a Percent of a Number

To broaden students’ understanding of calculating percents to include discounts.

Builds on skills in Unit 8 and the relationship between percents and

fractions to find the percent of a number.

SMP1–6 32%` TLG p. 667-668

*discount

8.10

Relating Fractional Units to the Whole

To provide practice finding the whole, given a fraction or a percent of the whole.

Builds on skills in Unit 8 and strategies to find the whole, given a

fraction or a fraction.

SMP1–8 32% *unit fraction *unit percent

Factor Captor SRB p. 306 MM p. 454-455

8.11

American Tour: Rural and Urban

To provide experience with locating information on maps and charts and using percents to make estimates.

Builds on skills in Unit 8 and provides practice solving percent-of-a

number problems and finding the whole, given a percent problem.

SMP1–6;

5.NF.2

32% Fraction Capture MJ1 p. 198 MM p. 460-461

8.12

Fraction Division

To introduce division of fractions and relate the operation of division to multiplication.

Focuses on strategies for solving division problems involving

fractions.

SMP1, 2, 4, 6;

5.NF.7a,

5.NF.7b,

5.NF.7c

32% Build-It SRB p. 300 MM p. 446-447

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8.13

Progress Check 8

To assess students’ progress on mathematicalcontent through the end of Unit 8.


32%

9.1

Hidden Treasure: A Coordinate Game

To reinforce students’ understanding of coordinate grid structures and vocabulary.

Focuses on graphing points on a coordinate grid and introduces the

Hidden Treasure game.

SMP1–3, 5, 6;

5.NBT.2,

5.NF.4a,

5.G.1, 5.G.2

14% TLG p. 708 MB #2d

*coordinate grid *axes *perpendicular *origin *ordered pair of numbers *vertical axis *horizontal axis *coordinate

Hidden Treasure Game MJ2 p. 293 SRB p. 319 MM p. 485 G is for Googol: A Math Alphabet Game by David M. Schwartz

9.2

Coordinate Graphs: Part 1

To reinforce plotting coordinates and the relationships between ordered number pairs and transformations of figures in a plane.

Provides additional practice graphing points on the coordinate grid.

SMP1, 2, 5–8;

5.NBT.5, 5.G.1,

5.G.2

14% TLG p. 713 MB #6

*ordered number pair *coordinates

9.3

Coordinate Graphs: Part 2

To reinforce plotting coordinates and the relationships between ordered number pairs and transformations of figures in a plane.

Provides additional practice graphing points on the coordinate plane,

including points with positive and negative numbers.

SMP2–6, 8;

5.MD.3a,

5.MD.4,

5.MD.5b, 5.G.1,

5.G.2

14% TLG p. 719 MB #3

*opposite of a number *translation *reflection

Hidden Treasure MJ2 p. 302 SRB p. 319 MM p. 486

Performance Task

or Project Based

Learning

TLG p. #9 Project #9 “Adding Volumes of Solid Figures”




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Games/

Literature

PASS CCSS

9.4

Areas of Rectangles

To reinforce students’ understanding of area concepts and units of area.

Focuses on finding the area of rectangles using a formula.

SMP2, 3, 5–8;

5.NF.4b,

5.NF.7a,

5.NF.7b,

5.NF.7c,

5.MD.3a,

5.MD.4,

5.MD.5b

14% TLG p. 727 MB #2

*area *square units *base *height *formula *variable

9.5

The Rectangle Method for Finding Area

To introduce the rectangle method for finding areas of polygons.

Focuses on strategies to find the area of nonrectangular polygons.

SMP1–3, 5, 6,

8;

5.NBT.2

14% TLG p. 733 MB #3c

*personal references *rectangle method

Frac-Tac-Toe SRB p. 309-311 MM p. 472-484 Spaghetti and Meatballs for All by Marilyn Burns

9.6

Formulas for the Areas of Triangles and Parallelograms

To provide experiences with the use of formulas for the areas of triangles and parallelograms.

Focuses on using formulas to find the area of triangles and

parallelograms.

SMP2, 5–8;

5.NF.2

14% TLG p. 738 MB #1

*base *height *perpendicular *altitude

Fraction Action, Fraction Friction SRB p. 312 MM p. 459

9.7

Earth’s Water Surface To reinforce the use of sampling to make estimates.

Provides practice generating a sample and determining the

population given a percentage.

SMP1, 2, 4–6,

8;

5.NF.6

14% TLG p. 744 MB #5b

*latitude *longitude

Performance Task

or Project Based

Learning

TLG p. 456 Project #6 “Sports Areas”




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PASS CCSS

9.8

Volume of Rectangular Prisms

To provide experiences with using a formula for the volume of rectangular prisms.

Focuses on using a formula to find the volume of a rectangular

prism.

SMP1–8;

5.NBT.4,

5.NBT.7,

5.MD.3a,

5.MD.3b,

5.MD.4,

5.MD.5a,

5.MD.5b

14% TLG p. 751 MB #1c

*volume *cubic unit *rectangular prism *face *base (of a rectangular prism) *height (of a rectangular prism) *Associative Property of Multiplication

9.9

Volume of Right Prisms

To provide experiences with using a formula for the volume of right prisms.

Focuses on using a formula to find the volume of right prisms.

SMP1–6, 8;

5.MD.3a,

5.MD.5b,

5.MD.5c

14% TLG p. 758 SRB p. 158

*prism *face

Polygon Capture SRB p. 328 MM p. 494-496

9.10

Capacity: Liter, Milliliter, and Cubic Centimeter

To reinforce the relationships among the liter, milliliter, and cubic centimeter.

Focuses on converting between units in the metric system to

determine equal capacities.

SMP1–4, 6, 7;

5.NBT.7,

5.NF.4b,

5.MD.1,

5.MD.3a,

5.MD.3b,

14% TLG p. 764 MB #1d

*liter(L) *capacity *quart (qt) *cup (C) *milliliter (mL) *cubic centimeter

5.MD.4,

5.MD.5a,

5.MD.5b

*volume of a container

9.11

Progress Check 9



14%

Performance Task

or Project Based

Learning

TLG p. 459 Project #7 “Polygon Areas and Pick’s Formulas”




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10.1

Pan-Balance Problems

To introduce a pan-balance approach for solving simple equations.

Introduces strategies for solving simple equations in preparation for

lesson 10-3.

SMP1–4, 6;

5.NBT.2,

5.NBT.5,

5.MD.3a,

5.MD.3b,

5.MD.4,

5.MD.5b

14% TLG p. 788 MB #2a &2b

*pan balance First to 100 SRB pl. 308 MM p. 456 & 458

10.2

Pan-Balance Problems with Two Balances

To develop a pan-balance approach for solving sets of two equations with two unknowns.

Focuses on using substitutions as a strategy for solving simple

equations in preparation for lesson 10-3.

SMP1–4, 6, 8;

5.NF.5a,

5.MD.2

14% TLG p. 795 MB#4a

10.3

Algebraic Expressions

To introduce the use of algebraic expressions to represent situations and describe rules.

Focuses on relating the pan-balance approach to using algebraic

expressions.

SMP1–4, 6–8;

5.OA.1, 5.OA.2,

5.OA.3,

5.NBT.2,

5.NBT.5,

5.MD.5a,

5.MD.5b

14% TLG p. 801 MB #3b & #5

*algebraic expression


10.4

Rules, Tables, and Graphs: Part 1

To develop representational forms for rates. Focuses on graphing rates on the coordinate grid.

SMP1, 2, 4, 6–

8;

5.OA.3, 5.G.1,

5.G.2

14% TLG p. 806b MB #2

*rate *formula *variable *line graph

Performance Task

or Project Based

Learning

TLG p. 462 Project #8 “”Pendulums”




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Games/

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PASS CCSS

10.5

American Tour: Old Faithful’s Next Eruption

To provide experience with using a formula as a prediction tool.

Focuses on using a formula to generate points and graphing points

on the coordinate grid.

SMP1–4, 7, 8;

5.MD.1

14% *geyser *predict

10.6

Rules, Tables, and Graphs: Part 2

To provide experiences with interpreting tables and graphs.

Focuses on graphing lines on the coordinate plane.

SMP1–8;

5.OA.3,

5.NBT.7,

5.NF.2, 5.G.1,

5.G.2

14% TLG p. 818 MB #2b

*coordinates *ordered numbered pairs

Mixed-Number Spin or Fraction Spin MJ2 p.255 & 262 MM p. 470, 471, 488, & 489

10.7

Reading Graphs

To provide experiences with interpreting line graphs.

Focuses on interpreting lines represented on the coordinate grid.

SMP1–4, 6;

5.NBT.4, 5.G.1

14% *mystery graph First to 100 SRB p. 308 MM p. 456-458

10.8

Circumference of a Circle

To provide experience with comparison ratios and the use of the irrational number π.

Provides practice finding the circumference and diameter of a circle

and introduces pi as the ratio of circumference to diameter.

SMP1, 3–8;

5.NBT.4

14% The Librarian Who Measured the Earth by Kathryn Lasky

Sir Circumference and the Dragon of Pi: A Math Adventure by Cindy Neuschwander Sir Circumference and the First Round Table by Cindy Neuschwander

Performance Task

or Project Based

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10.9

Area of a Circle

To introduce a formula to calculate the area of a circle.

Focuses on relationship between radius and area of a circle as a

continuation of circle attributes from Lesson 10-8.

SMP1, 2, 4–8;

5.MD.1

14% TLG p. 835 MB #2

First to 100 SRB p. 308 MM p. 456-458

10.10

Progress Check 10



14%

11.1

Review of Geometric Solids: Part 1

To review the names and properties of geometric solids.

Focuses on the characteristics of geometric solids.

SMP2, 4, 6, 8;

5.MD.3a,

5.MD.3b,

5.MD.4,

5.MD.5a,

5.MD.5b

14% *geometric solid *surfaces *faces *edges *vertex *vertices *prisms *polyhedrons *reg. polyhedrons

11.2

Review of Geometric Solids: Part 2

To provide experience comparing the properties of geometric solids.

Focuses on the relationships between geometric solids,

continues with skills from Lesson 11-1, and introduces the 3-D

Shape Sort game.

SMP1–3, 5, 6,

8

14% TLG p. 864 MB #5

3-D Shape Sort SRB p. 332 MM p. 505-507 Flatland by Edwin Abbott The Boy Who Reversed Himself by William Sleator Sir Circumference in the Sword in the Cone by Cindy Neuschwander

Performance Task

or Project Based

Learning




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Games/

Literature

PASS CCSS

11.3

Volume of Cylinders

To introduce the formula for the volume of cylinders.

Focuses on using a formula to find volume of a cylinder.

SMP1, 2, 4–6,

8;

5.NBT.4,

5.MD.1,

5.MD.3a,

5.MD.3b,

5.MD.4,

5.MD.5a,

5.MD.5b

14%

11.4

Volume of Pyramids and Cones

To provide experiences with investigating the relationships between the volumes of geometric solids.

Focuses on relationship between pyramids and cones and using a

formula to find volume of a pyramid or cone.

SMP1–6, 8;

5.NF.7a,

5.NF.7b

14% Rugs and Fences MJ2 p. 380 MM p. 498-501

Flex Day

Flex Day

Performance Task

or Project Based

Learning


Instructional Dates Unit: 11 Lessons: 11.5 -11.8


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Games/

Literature

PASS CCSS

11.5

Finding Volume by a Displacement Method

To introduce finding the volume of irregular objects using a water displacement method.

Focuses on using the water displacement method for finding the

volume of irregular objects.

SMP1–6;

5.MD.1,

5.MD.5c

14% TLG p. 882 MB #1

*displacement *calibrate

Who Sank the Boat? by Pamela Allen

11.6

Capacity and Weight

To provide experience with converting measurements among units of weight, capacity, and volume.

Focuses on converting among units of weight, capacity, and volume.

SMP2–6, 8;

5.OA.1,

5.NBT.2,

5.MD.1

14% TLG. P. 888 MB #2

Name That Number SRB p. 325 MM p. 490

11.7

Surface Area

To introduce finding the surface area of prisms, cylinders, and pyramids.

Focuses on finding the surface area of prisms, cylinders, and

pyramids.

SMP1–6, 8;

5.NF.1, 5.NF.2,

5.NF.4b,

5.NF.7c,

5.MD.2,

5.MD.5a,

5.MD.5b

14% *surface area

11.8

Progress Check 11


14%


Performance Task

or Project Based

Learning




Focus



Games/

Literature

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12.1

Factor Trees

To provide experiences with finding the greatest common factor and the least common multiple of two numbers.

Focuses on factoring as a strategy for determining the greatest

common factor and the least common multiple.

SMP1–3, 5–8;

5.NF.7a,

5.NF.b,

5.NF.7c

32% TLG p. 918 MB #2

*prime factorization *factor tree *common factor *greatest common factor *least common multiple

Factor Captor SRB p. 306 MM p. 455

12.2

Choices, Tree Diagrams, and Probability

To introduce the Multiplication Counting Principle and tree diagrams.

Focuses on the Multiplication Counting Principle as a method for

determining probability.

SMP1–7;

5.NBT.7

14% *probability *Multiplication Counting Principle *tree diagram *equally likely

Jumanji by Chris Van Allsburg

12.3

American Tour: Ratio Exploration

To provide experiences with the uses of ratios and ratio comparisons.

Focuses on using ratios to write equivalent ratios using ration

comparisons to express trends in data.

SMP1–4;

5.NF.7a,

5.NF.7b,

5.NF.7c

32% *ratio *ratio comparison *magnitude

First to 100 SRB p. 308 MM p. 456-458

12.4

Ratios of Parts to Wholes

SMP1, 2, 4–6 32% TLG p. 934 MB #4

If You Hopped Like a Frog by

To provide experience with ratios of part of a set to the whole set.

Focuses on solving number stories involving ratios,which builds on

skills developed in Unit 8.

David M. Schwartz

Performance Task

or Project Based

Learning




Focus



Games/

Literature

PASS CCSS

12.5

Number Models for Ratio Number Stories

To introduce writing number models for ratio number stories.

Focuses on using number models as a strategy for solving ratio

number stories.

SMP1–4, 6;

5.NF.7a,

5.NF.b,

5.NF.7c

32%

12.6

Finding Your Heart Rate

To provide experience calculating rates from data

Focuses on calculating rates form data, which builds on skills from

Units 6 and 10, and introduces the Spoon Scramble game.

SMP1–6 32% TLG p. 944 MB #4

*pulse *pulse rate *heart rate

Spoon Scramble SRB p. 330 MM p. 503 & 512

12.7

Collecting, Graphing, and Interpreting Data

To provide experience with using graphs to represent, compare, and interpret data.

Focuses on organizing and interpreting data from a graph.

SMP1, 2, 4–8;

5.NBT.4

14% TLG p. 950 MB #4

*rate *profile *target heart rate

12.8

Finding Your Cardiac Output

To provide experience with calculating rates and using rates to compare data.

Provides practice calculating and comparing rates.

SMP1–6, 8;

5.G.1

14% *oxygen *nutrients *carbon dioxide *cardiac output

Coordinate Search MM p. 448-449

If You Hopped Like a Frog by David M. Schwartz

Performance Task

or Project Based

Learning


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