guided math: an instructional strategy you can count on
DESCRIPTION
Guided Math: An Instructional Strategy You can Count ON . Presented by Dr. Nicki Newton. Introduction. A. Dr. Nicki Newton B. Guests. Goals of this workshop. Learn to Implement Guided Math Groups Learn to Engage Students in Purposeful Practice through Math Workstations. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/1.jpg)
GUIDED M
ATH: A
N
INSTRUCTIO
NAL
STRATE
GY YOU CAN
COUNT ON
P R E S E N T E D BY D
R . NI C
K I NE W T O N
![Page 2: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/2.jpg)
INTRODUCTION
A. Dr. Nicki NewtonB. Guests
![Page 3: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/3.jpg)
GOALS OF THIS WORKSHOP
1.Learn to Implement Guided Math Groups
2.Learn to Engage Students in Purposeful Practice through Math Workstations
![Page 4: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/4.jpg)
ESSENTIAL QUESTIONS FOR THIS WORKSHOP• How do guided math groups help
us to differentiate instruction in meaningful ways so that we can reach all learners?
• How do math workstations help reinforce skills in meaningful ways?
![Page 5: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/5.jpg)
WHAT IS GUIDED MATH?
• One component of a math workshop• Students learn in small flexible
groups based on their readiness level
• Students practice with the teacher, with each other and then by themselves during the guided math lesson
![Page 6: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/6.jpg)
WHY DO GUIDED MATH GROUPS?
“When a teacher tries to teach something to the entire class at the same time, chances are, one third of the kids already know it, one third will get it, and the remaining third won’t get it. So two thirds of the children are wasting their time.”
~Lillian Katz
![Page 7: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/7.jpg)
BENEFITS OF A GUIDED MATH GROUPS
Teachers
Targeted teaching/Differentiation
On the spot error/Misconception analysis
Question Deeply
Focus on specificContent and practices
Students
Targeted Standards based instruction
Individual Attention
Opportunity to Speak& Listen about Mathematical Thinking
Mathematical Disposition Levels Increase
![Page 8: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/8.jpg)
MATHEMATICAL POWER
Comes from the belief that “I can do this…with practice I can
do this” “If I just keep trying I can do this” “If I persevere, I can do this”Mathematical Power comes from
the belief that math fluency is possible with practice.
![Page 9: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/9.jpg)
GUIDED MATH VERSUS WHOLE GROUP MATH
Whole Class• Mini Lesson• Non-targeted• Large Group
Guided Math• Mini Lesson• Differentiated• Small group
![Page 10: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/10.jpg)
BALANCED MATHEMATICS
• GUIDED MATH IS PART OF A GUIDED MATH PROGRAM. IT TAKES PLACE IN A NUMERACY-RICH ENVIRONMENT.
![Page 11: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/11.jpg)
Numeracy Rich Writing
Agreeing
Discussing
Proving
Refuting
Disagreeing
Modeling Showing
ListeningExplaining
Listening
SpeakingTalking
Connecting
![Page 12: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/12.jpg)
Reader’s Workshop•Mini –Lesson•Word Work•Fluency Practice•Strategy Practice•Conferences•Share Time•Groups (Guided, Strategic, Discussion)
Math Workshop•Lessons•Vocabulary Practice •Fact Fluency Practice (Automaticity)•Strategy Practice•Conferences•Share Time•Small Guided Math Groups
![Page 13: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/13.jpg)
Math Energizers 5-7 Minutes
Review and Practice
Whole Group Mini Lesson
7-10 Minutes Whole group standards-based
lesson
Work Time
30-45 Minutes
•Small guided math group
•Individual math interview or conferencing•Workstations
Share 5-10 Minutes •Discuss Major Takeaways
•Writing ResponseTotal Time 70-75
Minutes
![Page 14: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/14.jpg)
POSTING QUESTIONS
Posting Questions Around the Room…See Shannon & PBS
![Page 15: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/15.jpg)
60%10%
10%
10%
10%
Mini-Lesson
#Talks
Calendar
Debrief
Guided MathGroups
Centers
![Page 16: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/16.jpg)
MATH ENERGIZERS
Bingo, Disappearing Dan & Dana; 24; Tell Me All You Can Number of the Day; Silent Math; What’s the Question?; Rock, Paper, Scissors Numbers
![Page 17: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/17.jpg)
CALENDAR TALK
Individual Calendars can give distributed practice over time.
![Page 18: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/18.jpg)
NUMBER TALKS
What is 8+6Strategies
Models
![Page 19: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/19.jpg)
LEARNING ENVIRONMENT
KEY TO THE WHOLE OPERATION!CLASSROOM “SET UP”
Understanding the Schedule-What are we doing today? When?
Movement – Leaders are Key? Who’s on first? Cooperative Learning Components – Check Ins (How’s
your group doing?)
![Page 20: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/20.jpg)
“The ultimate goal of mathematics instruction is to teach students to solve problems independently. The flexible nature of these components encourages the gradual release of responsibility.”
Laney Sammons
![Page 21: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/21.jpg)
TURN AND TALK
Talk to your shoulder buddy about how math is taught in your building (think about the differences in classrooms & grade levels). Are these components are part of the math instruction?
____ whole group instruction____ mini-lesson____ debrief____ small guided math group____ workstations
![Page 22: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/22.jpg)
ORGANIZATION
Classroom Management:• Rules, Rewards and Consequences• Cooperative Learning
![Page 23: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/23.jpg)
GETTING STARTED
1. Forming Groups2. Introducing Guided Math Groups to the Children3.Classroom Management4. Scheduling Students
![Page 24: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/24.jpg)
DATA-DRIVEN INSTRUCTION
•Small group instruction is always based on data (Unit Assessments, student interviews or conferences, anecdotal notes, teacher observations, etc.)•Data will point to student misconceptions, error patterns, and levels of understanding (see Depth of Knowledge)
![Page 25: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/25.jpg)
HOW DO I SET UP THE GROUPS?
BEN
• BENCHMARK TEST• QUIZZES• INTERVIEWS• CHAPTER TESTS
![Page 26: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/26.jpg)
SMALL GUIDED MATH GROUPS ARE FOR ALL
STUDENTS• Novice• Apprentice• Practitioner• Expert
![Page 27: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/27.jpg)
FLEXIBLE GROUPING• Students move in and out of groups
based on need. In geometry John could be in group A and in measurement he could be in group b.
![Page 28: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/28.jpg)
ORGANIZATION
WHITE BOARDSCHALK BOARDSCORK BOARDS
http://www.tips-for-teachers.com/images/digital%20pics/classroom%20pics/second%20grade/Acworth/crop%20baord.jpg
![Page 29: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/29.jpg)
ORGANIZATION
SEE EVERYBODY EVERY WEEK
http://www.tips-for-teachers.com/images/digital%20pics/classroom%20pics/second%20grade/Acworth/Guided%20Math/IMG_0465.JPG
![Page 30: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/30.jpg)
2 OR 3 TIMES A WEEK
http://www.tips-for-teachers.com/guided_math_groups.htm - Schedule
SCHEDULE
![Page 31: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/31.jpg)
SAMPLE SCHEDULERotation Schedule
Small Guided Math Groups
Center Work(Games and Activities)
Problem Solving Center (Models & Strategy Center)
Round 1 Tigers Bears Dolphins
Round 2 Bears Dolphins Tigers
Round 3 Dolphins Tigers Bears
![Page 32: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/32.jpg)
Novice Apprentice Practitioner/Expert
Multiplication: Circles and StarsPartner Game
Multiplication:Arrays
Partner Game
Multiplication:Show Two Strategies
Partner Game
Problem Solving Center: Equal
Groups Problem Types: Facts 2, 4, 5
(Scaffolded with numberline)
Problem Solving Center: Arrays: Facts through 6 (Scaffolded
with arrays)
Problem Solving Center: Variety of
Strategies
Tiered Writing Activity About Multiplication
Tiered Writing Activity About Multiplication
Multipliation Unit: Teacher is Floating Today (Conferences and Interviews)
Tiered Writing Activity About Multiplication
![Page 33: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/33.jpg)
EXAMPLE GUIDED MATH WEEKLY SCHEDULE
15 MINUTE SESSIONS- 2 SESSIONS A DAYMonday Tuesday Wednesda
yThursday Friday
9:30-9:45 9:30-9:45 9:30-9:45 9:30-9:45 9:30-9:45Class Math
ProjectsPodcasts/
VideoCast/Glog/Photo Essay/Class Mural/Class Book
9:45-10:00 9:45-10:00 9:45-10:00 9:45-10:00 9:45-10:00Class Math
ProjectsPodcasts/Photo
Essay/Class Mural/Class Book
Green Group Green Group-
Blue Group-y
Yellow GroupYellow Group
Blue Group
Orange GroupOrange Group
![Page 34: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/34.jpg)
PLANNING SHEETS
DIFFERENT WAYS TO PLAN FOR INSTRUCTION.
KEY COMPONENTS: -WHO & WHAT
http://mountainview.typepad.com/guided_math/what-is-guided-math.html
![Page 35: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/35.jpg)
ORGANIZATION
• Introduce the math workshop to the students during the first 2 weeks. Practice games together and practice the guided math groups.
![Page 36: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/36.jpg)
GETTING STARTED
1. Roles and Responsibilities2. Framework for a Lesson
![Page 37: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/37.jpg)
THE TEACHER ISTeaching a small guided math groupDirect modelingWatching students do mathQuestioningScaffolding LearningGiving ExamplesTaking Notes
![Page 38: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/38.jpg)
THE TEACHER IS ALSO
o Facilitating center worko Questioning Studentso Conferencingo Interviewing
![Page 39: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/39.jpg)
THE STUDENT IS
ListeningParticipatingDiscussingThinkingDoing math
![Page 40: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/40.jpg)
FRAMING GUIDED MATH LESSONS AROUND THE BIG
IDEAS Randall Charles has written about 21
Big Ideas in Math…
![Page 41: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/41.jpg)
GUIDED MATHINFRASTRUCTURE
• Concrete (base-ten blocks, cubes, counters, etc.),
• Pictorial (model of thinking – pictures, drawing, diagrams, tables)
• Abstract (number sentences, equations, expressions)
![Page 42: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/42.jpg)
STRUCTURE OF THE LESSON
IntroGuided PracticeSummarizing what you did that day.
![Page 43: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/43.jpg)
ONGOING ASSESSMENT THROUGHOUT THE LESSON
• Questioning• Individual Pupil Responses
•Thumbs up•Stoplight•Entrance/Exit Slip
![Page 44: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/44.jpg)
OBSERVATION SHEETNOTESNAME NOTES
John Using level 1 strategies
Maria Used some level 3 strategies today…said 5+7 was a doubles +2 fact so it was 12
![Page 45: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/45.jpg)
FRAMING GUIDED MATH LESSONS• Mathematical Proficiency• Mathematical Practices• Content Domains
![Page 46: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/46.jpg)
CONCEPTUAL UNDERSTANDING
• Kyle had 6 marbles. John had 2 more than Kyle. How many did John have?
*Number Bond Practice: Where is the unknown?*NLVM Computers
![Page 47: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/47.jpg)
PROCEDURAL FLUENCY
o What is 245 + 37?
o 300 – 299 =*Skip Counting *Double Digit Subtraction with dice
![Page 48: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/48.jpg)
STRATEGIC COMPETENCE
8+7 =29+ 35 =12 x 4 = *Roll and Compose/Decompose *Composing/Decomposing Club
*Show 2 different ways to subtract 300-299. Talk about which was faster and why.
![Page 49: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/49.jpg)
ADAPTIVE REASONING
Accountable Math Talk Thinking Posters Thinking Notebooks
Can you prove that? How do you know? *Convince Me Paper *Challenge It
Paper
![Page 50: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/50.jpg)
MATHEMATICAL PROFICIENCY
o ADAPTIVE REASONING: IN ORDER TO TALK YOU NEED MATH VOCABULARY:
POWERPOINT GRAPHIC ORGANIZERS MATH SPELLING CITY
![Page 51: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/51.jpg)
MATHEMATICAL PROFICIENCY
MATHEMATICAL DISPOSITION… WHAT’S YOURS? LEVELS 1-5
![Page 52: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/52.jpg)
MATHEMATICAL PRACTICES
• Problem Solving - Word Problems
• Reasoning - Riddles• Construct Viable
Arguments and Critique Arguments- Writing in math
• Modeling –Open Numberline; Bar Modeling
![Page 53: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/53.jpg)
MATHEMATICAL PRACTICES
• Use appropriate tools- Calculators
• Attend to precision- Vocabulary• Look for and make use of
structure• Look for and express regularity
in repeated reasoning
![Page 54: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/54.jpg)
NUMBER WRITING
K.CC.3. Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).
![Page 55: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/55.jpg)
NUMBER WRITING
1.NBT.1. Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.
![Page 56: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/56.jpg)
NUMBER WRITING
2.NBT.3. Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
![Page 57: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/57.jpg)
NUMBER WRITING
PoemsRace Car NumbersRainbow Numbers Jmeacham:
www.jmeacham.comSparklebox: http://www.sparklebox.co.uk/md/index.html#.Tot7jnN-
sVA
![Page 58: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/58.jpg)
COUNT TO TELL THE NUMBER OF OBJECTS.
Understand that each successive number name refers to a quantity that is one larger.
![Page 59: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/59.jpg)
COUNT TO TELL THE NUMBER OF OBJECTS.
Dinosaur BookAct Out: People
Concrete: Dino counters Pictorial: Draw it Abstract: Number Lines &
Ladders
![Page 60: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/60.jpg)
COUNT HOW MANYK.CC.5. Count to answer “how many?”
questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1–20, count out that many objects.
Mosaic Activity
![Page 61: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/61.jpg)
COMPARE NUMBERSK.CC.6. Identify whether the
number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies.1
![Page 62: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/62.jpg)
COMPARE NUMBERS
Alligator Poem Alligator Puppets Matching: Roll and
compare Counting: Number
Lines, Ladders, Grids
Superteacher Activities *http://guidedmath.wordpress.com/2011/06/
![Page 63: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/63.jpg)
COMPARE NUMBERSK.CC.7. Compare two numbers
between 1 and 10 presented as written numerals.
Cards, Dice and Dominos: Highest
Number/Lowest Number
*http://guidedmath.wordpress.com/2011/06/
![Page 64: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/64.jpg)
COMPARING NUMBERS
1.NBT.3. Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.
![Page 65: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/65.jpg)
COMPARING NUMBERS2.NBT.4. Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.
![Page 66: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/66.jpg)
FACT FLUENCY
100 Basic Facts – The Dolch Words
of Math
![Page 67: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/67.jpg)
A 3-STEP APPROACH TO LEARNING THE BASIC MATH
FACTS•A. Conceptual Understanding (Concrete/ Pictorial)•B. Development of Efficient Strategies (Abstract)
•C. Practice that Works (Naming Strategies)
![Page 68: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/68.jpg)
ADDITION FACTSPlus Zero - Poem
Plus 1 – One Red Dot; Numberlines; Numberladders; NumberGrids; One more and one less game
Plus 2
![Page 69: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/69.jpg)
FIVE FRAME
1. http://guidedmath.wordpress.com/2010/12/10/five-frames-
and-guided-math-groups/
http://guidedmath.wordpress.com/2010/12/10/five-frames-and-guided-math-groups/
![Page 70: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/70.jpg)
OPERATIONS AND ALGEBRAIC THINKINGK.OA.1. Represent addition and
subtraction with objects, fingers, mental images, drawings1, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.
![Page 71: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/71.jpg)
OPERATIONS AND ALGEBRAIC THINKINGK.OA.3. Decompose numbers
less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).
![Page 72: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/72.jpg)
OPERATIONS AND ALGEBRAIC THINKINGK.OA.4. For any number from 1
to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.
![Page 73: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/73.jpg)
OPERATIONS AND ALGEBRAIC THINKINGK.OA.5. Fluently add and subtract within 5.
![Page 74: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/74.jpg)
OPERATIONS AND ALGEBRAIC THINKING1.OA.6. Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
*See posters on blog
![Page 75: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/75.jpg)
OPERATIONS AND ALGEBRAIC THINKING1. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14);
![Page 76: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/76.jpg)
OPERATIONS AND ALGEBRAIC THINKING1. Decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9);
![Page 77: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/77.jpg)
OPERATIONS AND ALGEBRAIC THINKING1. And creating
equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).
![Page 78: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/78.jpg)
OPERATIONS AND ALGEBRAIC THINKING2.OA.2. Fluently add and subtract within 20 using mental strategies.2 By end of Grade 2, know from memory all sums of two one-digit numbers.
![Page 79: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/79.jpg)
OPERATIONS AND ALGEBRAIC THINKING1.OA.7. Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false.
![Page 80: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/80.jpg)
OPERATIONS AND ALGEBRAIC THINKING1. For example, which of
the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.
2. Prove It Papers!
![Page 81: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/81.jpg)
OPERATIONS AND ALGEBRAIC THINKING1.OA.8. Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.
![Page 82: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/82.jpg)
OPERATIONS AND ALGEBRAIC THINKING1.OA.8. For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = _ – 3, 6 + 6 = _.
![Page 83: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/83.jpg)
EQUIVALENT NAMES•Focus Question: Can different number combinations of quantities result in the same sum?
•Literature Connections (12 Ways to Get to 11)-Quack and Count; Math Fables; Mathter pieces; Two Ways to Count to Ten; A Quarter from the Tooth Fairy; Grapes of Math; One is a Snail Ten is a Crab; A Dozen Ducklings; Ten Puppies)
![Page 84: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/84.jpg)
FACT FAMILIES
Teach from concrete, pictorial, abstract.
http://guidedmath.wordpress.com/2010/04/01/teaching-fact-families-in-guided-math-groups
/
http://guidedmath.wordpress.com/2010/08/30/number-bonds-fact-families-complements-of-numbers-and-guided-math/
![Page 85: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/85.jpg)
DOUBLES AND NEAR DOUBLES•A. Focus Question: What are doubles? How do they help us to add fast?
•B. Literature Connections: (Dice Game, Double the Ducks; Minnie’s Diner; Double those Wheels; Two of Everything) http://www.songsforteaching.com/jennyfixmanedutunes/doubleitup.htm
![Page 86: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/86.jpg)
FACT SORT•Name That Fact (Domino Fact Sort, Domino Book, Card Fact Sort, Card Book) -http://guidedmath.wordpress.com/2010/01/23/
![Page 87: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/87.jpg)
LUCKY 8 & LUCKY 9
Concrete (double ten frames)
Pictorial (illuminations) Abstract (Poems)http://guidedmath.wordpress.com/2010/12/17/lucky-8-and-
lucky-9-teaching-compensation-for-addition-problems-in-small-guided-math-groups/
![Page 88: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/88.jpg)
PROBLEM SOLVING•A. Focus Question: What are word problems? What are some ways to think about them? What are some ways to practice solving them?
•B. Literature Connections: Ten Little Fish, How Many Blue Birds Flew Away?; How Many Snails?; Number One Number Fun; Follow the Line; Each Orange had 8 Slices
![Page 89: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/89.jpg)
WORD PROBLEMS
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
![Page 90: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/90.jpg)
WORD PROBLEMS
Know the Types 4 Types for Kindergarten
8 Types for 1st Grade 12 Types for 2nd grade*See progressions/ See NYC Exemplars/ See Exemplars/
See Balanced Assessments
![Page 91: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/91.jpg)
OPERATIONS AND ALGEBRAIC THINKINGK.OA.2. Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
![Page 92: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/92.jpg)
WORD PROBLEMS
Represent and solve problems involving addition and subtraction.
![Page 93: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/93.jpg)
WORD PROBLEMS
1.OA.1. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions,
![Page 94: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/94.jpg)
WORD PROBLEMS
e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.1
![Page 95: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/95.jpg)
WORD PROBLEMS
1.OA.2. Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20.
![Page 96: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/96.jpg)
WORD PROBLEMS2.OA.1. Use addition and
subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions,
![Page 97: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/97.jpg)
WORD PROBLEM
e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.1
![Page 98: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/98.jpg)
PROBLEM SOLVING POWER TOOLS
Number FramesSlider StoriesRekenrekNumberlineOpen NumberlineMath MatBar Diagram
![Page 99: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/99.jpg)
PROBLEM SOLVING
Multiple Intelligence Centers
•1. Visual/Spatial- Sticker/Stamp Stories •2. Intrapersonal- Individual Story Book•3. Interpersonal- Group Story Book
![Page 100: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/100.jpg)
PLACE VALUE
Concrete (bundles, base ten blocks)
Pictorial (nlvm) Abstract (roll and show)
![Page 101: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/101.jpg)
PLACE VALUE
1.NBT.2. Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:
![Page 102: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/102.jpg)
PLACE VALUE1.NBT.4. Add within 100, including adding a two-
digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.
![Page 103: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/103.jpg)
PLACE VALUE2.NBT.5. Fluently add and
subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
![Page 104: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/104.jpg)
PLACE VALUE2.NBT.7. Add and subtract
within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction;
![Page 105: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/105.jpg)
PLACE VALUE2.NBT.7. relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones;
![Page 106: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/106.jpg)
PLACE VALUE
and sometimes it is necessary to compose or decompose tens or hundreds. (see NLVM)
![Page 107: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/107.jpg)
ADDITION STRATEGIES
What is 29+34?How many strategies and algorithms do you have in your pocket?
http://guidedmath.wordpress.com/2011/08/23/an-addition-algorithm/
![Page 108: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/108.jpg)
ADDITION STRATEGIESSchultz Math VideosCounting Up by OnesCounting Up by Tens & OnesUsing a 100's ChartExpanding Notation: Decomposing into Groups of Tens and
Ones
![Page 109: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/109.jpg)
ADDITION STRATEGIESSchultz Math VideosLeft to Right AdditionCompensationRegroupinghttp://www.schultzcenter.org/
mathvideos.shtml
![Page 110: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/110.jpg)
SUBTRACTION STRATEGIES
What is 67-9? How many ways can you solve this?
![Page 111: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/111.jpg)
SUBTRACTION STRATEGIES
Number SplittingOpen NumberlineCounting UpCompensationTraditional Strategy
http://guidedmath.wordpress.com/2011/08/31/5-subtraction-algorithms-great-to-do-in-guided-math-groups/
![Page 112: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/112.jpg)
SUBTRACTION STRATEGIES
Schultz Math VideosCounting Down by OnesCounting Down by Tens and Ones
![Page 113: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/113.jpg)
SUBTRACTION STRATEGIES
Distance Between Two NumbersLandmark NumbersDecomposing into Groups of Tens and Ones
![Page 114: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/114.jpg)
SUBTRACTION STRATEGIESCompensationExpanding Notation with Negative NumbersRegroupinghttp://www.schultzcenter.org/mathvideos.shtml
![Page 115: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/115.jpg)
RTI AND GUIDED MATH GROUPSREMEMBER THAT RTI TECHNICALLY IS IN
ADDITION TO THE REGULAR MATH PERIOD!
![Page 116: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/116.jpg)
A BIT OF REVIEW
FILL IN YOUR FRAYER MODEL WITH YOUR TABLEMATES. WHAT HAVE YOU LEARNED?
![Page 117: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/117.jpg)
DefinitionComponents
Examples Non-Examples
Frayer Concept Organizer
GuidedMath
117
![Page 118: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/118.jpg)
ACTION PLAN• Decide on rules and
routines• Set up groups• Create a schedule• Decide on the focus content strand• Decide on the mathematical practices
that you will highlight
![Page 119: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/119.jpg)
ACTION PLAN• Plan group and mini-lessons• Design workstations• Put an accountability system in place
![Page 120: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/120.jpg)
ACTION PLAN: STARTING• START SMALL.• START WHERE YOU ARE COMFORTABLE.• JUST START
![Page 121: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/121.jpg)
REFERENCESBush, K. Holland Elementary [email protected]
Deborah KrambPitner Elementary School
Norman, J –Cowden Elementary [email protected]://sps.k12.mo.us/cowden/jaustin/
November 2009
Spruiell, K. (2010). The Road to Guided Math-How to Get Your Engine Started and Take Off Down the Road. GCTM
![Page 122: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/122.jpg)
RESOURCESLaura Candler MathWireGeorgia Standards.org:
Math FrameworksPublic Schools of NC:
Problem-Solving DecksNCTM IlluminationsCobb Math BlogCobb Math Links ListPlug Into MathematicsWESTEST Prep PageTeams Educational Resources
Grades 3-5/Function MachineAgebra, Geometry and Numbers
•Mrs. Powell’s Math Tubs Explanation•Marcia’s Math Tub Fun•Mrs. Meacham’s Math Tubs
www.guidedmath.wordpress.com
![Page 123: Guided Math: An Instructional Strategy You can Count ON](https://reader036.vdocuments.us/reader036/viewer/2022062501/56816963550346895de11ed5/html5/thumbnails/123.jpg)
YOU CAN CONTACT ME AT
drnickimath (follow me on twitter)
Thank You For Coming!