Contents
Illustrative Math Grade 5 Unit 3 Teacher Guide.pdf
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LZ Grade5-3-Unit-teacher-guide.pdf
Unit 3: Multiplying and Dividing Fractions
Unit 3: Multiplying and Dividing Fractions
Unit Learning Goals
Section A: Fraction Multiplication
Standards Alignments
Section Learning Goals
Suggested Centers
Section B: Fraction Division
Standards Alignments
Section Learning Goals
Suggested Centers
Section C: Problem Solving with Fractions
Standards Alignments
Section Learning Goals
Suggested Centers
Throughout the Unit
Materials Needed
Center: Rolling for Fractions (3–5)
Standards Alignments
Standards Alignments
Standards Alignments
Stages used in Grade 4
Center: Five in a Row: Multiplication (3–5)
Standards Alignments
Stages used in Grade 4
Center: How Close? (1–5)
Standards Alignments
Standards Alignments
Stages used in Grade 4
Center: Compare (1–5)
Standards Alignments
Standards Alignments
Stages used in Grade 4
Section A: Fraction Multiplication
Lesson 1: One Piece of One Part
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
English Learners
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Activity 2
Standards Alignments
Student-facing Task Statement
Launch
Student Responses
Activity
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 2: Represent Unit Fraction Multiplication
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Activity 2
Standards Alignments
Instructional Routines
Student-facing Task Statement
Launch
Activity
Synthesis
Student Responses
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 3: Multiply Unit Fractions
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Student-facing Task Statement
Launch
Activity
Student Responses
Synthesis
Advancing Student Thinking
Activity 2
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 4: Situations about Multiplying Fractions
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
English Learners
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Student-facing Task Statement
Launch
Student Responses
Activity
Synthesis
Advancing Student Thinking
Activity 2
Standards Alignments
Student-facing Task Statement
Launch
Activity
Student Responses
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 5: Multiply a Unit Fraction by a Non-unit Fraction
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
English Learners
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Launch
Activity
Synthesis
Student Responses
Activity 1
Standards Alignments
Student-facing Task Statement
Launch
Student Responses
Activity
Synthesis
Advancing Student Thinking
Activity 2
Standards Alignments
Student-facing Task Statement
Launch
Student Responses
Activity
Synthesis
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 6: Multiply Fractions
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Activity 2
Standards Alignments
Student-facing Task Statement
Launch
Activity
Synthesis
Student Responses
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 7: Generalize Fraction Multiplication
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
English Learners
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Student-facing Task Statement
Launch
Activity
Synthesis
Student Responses
Advancing Student Thinking
Activity 2
Standards Alignments
Student-facing Task Statement
Launch
Student Responses
Activity
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 8: Apply Fraction Multiplication
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
English Learners
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Student-facing Task Statement
Launch
Activity
Student Responses
Synthesis
Activity 2
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Lesson Synthesis
Suggested Centers
Student Section Summary
Response to Student Thinking
Next Day Support
Lesson 9: My Own Flag (Optional)
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
Instructional Routines
Materials to Gather
Lesson Timeline
Teacher Reflection Question
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Launch
Activity
Student Responses
Synthesis
Activity 1
Standards Alignments
Instructional Routines
Student-facing Task Statement
Launch
Student Responses
Activity
Synthesis
Activity 2
Standards Alignments
Materials to Gather
Required Preparation
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Assessment: Section A Checkpoint
Problem 1
Goals Assessed
Solution
Problem 2
Goals Assessed
Solution
Problem 3
Goals Assessed
Solution
Section A Practice Problems
Problem 1
Standards Alignments
Solution
Problem 2
Standards Alignments
Solution
Problem 3
Standards Alignments
Solution
Problem 4
Standards Alignments
Solution
Problem 5
Solution
Problem 6
Solution
Problem 7
Solution
Problem 8
Solution
Problem 9
Solution
Problem 10
Solution
Problem 11
Solution
Problem 12
Solution
Problem 13
Solution
Problem 14
Solution
Section B: Fraction Division
Lesson 10: Concepts of Division (Optional)
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Activity 2
Standards Alignments
Student-facing Task Statement
Launch
Activity
Student Responses
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Prior Unit Support
Lesson 11: Divide Unit Fractions by Whole Numbers
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 2
Standards Alignments
Student-facing Task Statement
Launch
Activity
Synthesis
Student Responses
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 12: Represent Division of Unit Fractions by Whole Numbers
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Launch
Activity
Student Responses
Synthesis
Activity 1
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Activity 2
Standards Alignments
Instructional Routines
Student-facing Task Statement
Launch
Student Responses
Activity
Synthesis
Advancing Student Thinking
Activity 3
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 13: Divide Whole Numbers by Unit Fractions
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
Instructional Routines
Required Preparation
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Instructional Routines
Student-facing Task Statement
Launch
Activity
Student Responses
Synthesis
Advancing Student Thinking
Activity 2
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 14: Represent Division of Whole Numbers by Unit Fractions
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Instructional Routines
Student-facing Task Statement
Launch
Activity
Synthesis
Student Responses
Advancing Student Thinking
Activity 2
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 15: Fraction Division Situations
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
English Learners
Instructional Routines
Materials to Copy
Required Preparation
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Instructional Routines
Materials to Copy
Required Preparation
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Activity 2
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 16: Reason About Quotients
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 2
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Assessment: Section B Checkpoint
Problem 1
Goals Assessed
Solution
Problem 2
Goals Assessed
Solution
Problem 3
Goals Assessed
Solution
Section B Practice Problems
Problem 1
Solution
Problem 2
Solution
Problem 3
Solution
Problem 4
Solution
Problem 5
Solution
Problem 6
Solution
Problem 7
Solution
Problem 8
Solution
Problem 9
Solution
Section C: Problem Solving with Fractions
Lesson 17: Fraction Multiplication and Division Situations
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
Instructional Routines
Materials to Copy
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Instructional Routines
Materials to Copy
Required Preparation
Student-facing Task Statement
Launch
Activity
Student Responses
Synthesis
Activity 2
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 18: Represent Situations with Multiplication and Division
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
English Learners
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Student-facing Task Statement
Launch
Activity
Synthesis
Student Responses
Activity 2
Standards Alignments
Student-facing Task Statement
Launch
Activity
Synthesis
Student Responses
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Response to Student Thinking
Next Day Support
Lesson 19: Fraction Games
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
English Learners
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Student-facing Task Statement
Launch
Activity
Student Responses
Synthesis
Activity 2
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Lesson Synthesis
Suggested Centers
Student Section Summary
Response to Student Thinking
Next Day Support
Lesson 20: How Much in the Group? (Optional)
Standards Alignments
Teacher-facing Learning Goals
Student-facing Learning Goals
Lesson Purpose
Access for:
Students with Disabilities
English Learners
Instructional Routines
Lesson Timeline
Teacher Reflection Question
Cool-down
Standards Alignments
Student-facing Task Statement
Student Responses
Warm-up
Standards Alignments
Instructional Routines
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 1
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Activity 2
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Activity 3
Standards Alignments
Student-facing Task Statement
Student Responses
Launch
Activity
Synthesis
Advancing Student Thinking
Lesson Synthesis
Suggested Centers
Assessment: Section C Checkpoint
Problem 1
Goals Assessed
Solution
Problem 2
Goals Assessed
Solution
Section C Practice Problems
Problem 1
Solution
Problem 2
Solution
Problem 3
Solution
Problem 4
Solution
Problem 5
Solution
Problem 6
Solution
Problem 7
Solution
Assessment: End-of-Unit Assessment
Problem 1
Standards Alignments
Narrative
Solution
Problem 2
Standards Alignments
Narrative
Solution
Problem 3
Standards Alignments
Narrative
Solution
Problem 4
Standards Alignments
Narrative
Solution
Problem 5
Standards Alignments
Narrative
Solution
Problem 6
Standards Alignments
Narrative
Solution
Problem 7
Standards Alignments
Narrative
Solution
Problem 8
Standards Alignments
Narrative
Solution
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