Contents
Section A: Features of Patterns
Lesson 1: Patterns that Grow
Warm-up: Notice and Wonder: Sets of Circles
1.1: Bottle Cap Patterns
1.2: Taller and Taller
Lesson 2: Patterns that Repeat
Warm-up: How Many Do You See: Colorful Tiles
2.1: Patterns that Repeat
2.2: Numbered Patterns
2.3: Clare’s Pattern
Lesson 3: From Visual Patterns to Numerical Patterns
Warm-up: Number Talk: Patterns in Multiplication
3.1: Growing Rectangles
3.2: More Growing Rectangles
3.3: No Grid This Time!
Lesson 4: Numerical Patterns
Warm-up: Which One Doesn’t Belong: Stacked Squares
4.1: Count by 10 and by 9
4.2: Count by 99
4.3: Count by 15
Section A Summary
Section A Practice Problems
Section B: Multi-digit Multiplication
Lesson 5: Products Beyond 100
Warm-up: Number Talk: A Number Times Some Multiple of 10
5.1: Elena’s Sticky Gift
5.2: More and More Stickers
Lesson 6: Multiply Two-digit Numbers and One-digit Numbers
Warm-up: Notice and Wonder: With and Without a Grid
6.1: Tyler's Diagrams
6.2: Two Kinds of Diagrams
Lesson 7: Multiply Three- and Four-digit Numbers by One-digit Numbers
Warm-up: Estimation Exploration: Mysterious Area
7.1: Larger Numbers to Multiply
7.2: Jada’s Errors
Lesson 8: Multiply 2 Two-digit Numbers
Warm-up: Number Talk: Extra Groups
8.1: Two by Two
8.2: Decompose by Place Value
Lesson 9: Recording Partial Products: One-digit and Three- or Four-digit Factors
Warm-up: Which One Doesn’t Belong: Expressions Galore
9.1: An Algorithm for Noah
9.2: Try an Algorithm with Partial Products
Lesson 10: Using Algorithms with Partial Products: 2 Two-digit Numbers
Warm-up: Number Talk: Products
10.1: Partial Products, Recorded
10.2: Han’s Multiplication Mishap
Lesson 11: Partial Products and the Standard Algorithm
Warm-up: Number Talk: The Value of the Digits
11.1: Two Algorithms to Multiply
11.2: Algorithm Comparison
Lesson 12: Solve Problems Involving Multiplication
Warm-up: What Do You Know About 1 Year?
12.1: Time Flies When We Leap Years
12.2: Coin Collection
Section B Summary
Section B Practice Problems
Section C: Multi-digit Division
Lesson 13: Situations Involving Equal-size Groups
Warm-up: Estimation Exploration: Lots of Paletas
13.1: Paletas for a Class Party
13.2: More Snacks for a Class Party
Lesson 14: Situations Involving Factors and Multiples
Warm-up: Number Talk: Dividing by 7
14.1: Write Multiples
14.2: Jada’s Mystery Number
Lesson 15: Situations Involving Area
Warm-up: Estimation Exploration: Area of a Soccer Field
15.1: Elena’s Mural
15.2: Tyler’s Mural
Lesson 16: Base-ten Blocks to Divide
Warm-up: What Do You Know About Base-ten Blocks?
16.1: Blocks to Divide
16.2: Show Us Your Blocks
Lesson 17: Base-ten Diagrams to Represent Division
Warm-up: Which One Doesn’t Belong: Base-ten Diagrams
17.1: Divide with Diagrams or Blocks
17.2: Help Noah Get Unstuck
Lesson 18: Divide with Partial Quotients
Warm-up: Number Talk: Divide by 3
18.1: Decompose Dividends
18.2: Tyler’s Method
Lesson 19: Division With and Without Remainders
Warm-up: Notice and Wonder: Equations with Hundreds
19.1: A Stack of Partial Quotients
19.2: Andre and Elena’s Work
19.3: Incomplete Calculations
Lesson 20: Interpret Remainders in Division Situations
20.1: Muffins and Seats
20.2: Save for a Garden
Section C Summary
Section C Practice Problems
Section D: Let’s Put It to Work: Problem Solving with Large Numbers
Lesson 21: Different Ways to Solve Problems
Warm-up: Which One Doesn’t Belong: Expressions with 5 or 90
21.1: Going on a Field Trip
21.2: A Trip to the Movies
Lesson 22: Problems About Perimeter and Area
Warm-up: How Many Do You See: Shaded Squares
22.1: Create a Class Banner
22.2: Replace the Classroom Carpet
Lesson 23: Solve Problems with Many Operations
Warm-up: True or False: Differences
23.1: Back and Forth
23.2: Fitness Challenge
Lesson 24: Assess the Reasonableness of Solutions
Warm-up: Notice and Wonder: Native American Languages
24.1: Do You Speak Navajo?
24.2: Languages in Philadelphia and Chicago
Section D Summary
Lesson 25: Paper Flower Decorations
Warm-up: How Many Do You See: Paper Flowers
25.1: Paper Flower Construction
25.2: Quinceañera Decorations
25.3: Make Your Own Problems
Section D Practice Problems
Glossary
Attributions
Image Attributions
Citations
Notes
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