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Chapter 29: Introduction to Division

Learn Grade 2 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.

Grade 2Very Beginner Friendly10 Examples Per Topic30 Q&APractice + Review
Estimated reading time0% read
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Chapter Overview

This chapter teaches Introduction to Division with simple explanations, visual thinking, worked examples, practice, and review.

29.1 Division as equal sharing

Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: 16 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 4

Worked Example 2

Problem: 4 objects are shared equally among 2 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 3

Problem: 8 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 4

Problem: 4 objects are shared equally among 2 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 5

Problem: 12 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 4

Worked Example 6

Problem: 4 objects are shared equally among 2 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 7

Problem: 12 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

Worked Example 8

Problem: 9 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

Worked Example 9

Problem: 4 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 1

Worked Example 10

Problem: 9 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

29.2 Division as making groups

Early division means sharing equally or making equal groups. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: 9 objects are shared into 3 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

Worked Example 2

Problem: 16 objects are shared into 4 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 4

Worked Example 3

Problem: 4 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 2

Worked Example 4

Problem: 4 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 2

Worked Example 5

Problem: 6 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

Worked Example 6

Problem: 25 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 5

Worked Example 7

Problem: 4 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 2

Worked Example 8

Problem: 15 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

Worked Example 9

Problem: 8 objects are shared into 4 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 2

Worked Example 10

Problem: 12 objects are shared into 4 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

29.3 Using the division symbol

Early division means sharing equally or making equal groups. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: 20 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 4

Worked Example 2

Problem: 20 objects are shared into 4 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 5

Worked Example 3

Problem: 12 objects are shared into 4 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

Worked Example 4

Problem: 15 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

Worked Example 5

Problem: 16 objects are shared into 4 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 4

Worked Example 6

Problem: 12 objects are shared into 3 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 4

Worked Example 7

Problem: 15 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

Worked Example 8

Problem: 20 objects are shared into 4 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 5

Worked Example 9

Problem: 15 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

Worked Example 10

Problem: 25 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 5

29.4 Writing a division sentence

Early division means sharing equally or making equal groups. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: 10 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 2

Worked Example 2

Problem: 9 objects are shared into 3 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

Worked Example 3

Problem: 10 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 2

Worked Example 4

Problem: 8 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 4

Worked Example 5

Problem: 12 objects are shared into 3 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 4

Worked Example 6

Problem: 12 objects are shared into 4 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

Worked Example 7

Problem: 10 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 5

Worked Example 8

Problem: 20 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 4

Worked Example 9

Problem: 16 objects are shared into 4 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 4

Worked Example 10

Problem: 20 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 4

29.5 Sharing into 2 groups

Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: 2 objects are shared equally among 2 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 1

Worked Example 2

Problem: 16 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 4

Worked Example 3

Problem: 6 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 4

Problem: 12 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

Worked Example 5

Problem: 12 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 4

Worked Example 6

Problem: 6 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 7

Problem: 4 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 1

Worked Example 8

Problem: 4 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 1

Worked Example 9

Problem: 6 objects are shared equally among 2 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

Worked Example 10

Problem: 9 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

29.6 Sharing into 3 groups

Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: 8 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 2

Problem: 9 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

Worked Example 3

Problem: 8 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 4

Problem: 4 objects are shared equally among 2 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 5

Problem: 6 objects are shared equally among 2 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

Worked Example 6

Problem: 12 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 4

Worked Example 7

Problem: 4 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 1

Worked Example 8

Problem: 8 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 9

Problem: 6 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 10

Problem: 9 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

29.7 Sharing into 4 groups

Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: 3 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 1

Worked Example 2

Problem: 12 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

Worked Example 3

Problem: 3 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 1

Worked Example 4

Problem: 6 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 5

Problem: 3 objects are shared equally among 3 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 1

Worked Example 6

Problem: 8 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 7

Problem: 8 objects are shared equally among 4 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 8

Problem: 6 objects are shared equally among 2 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

Worked Example 9

Problem: 8 objects are shared equally among 2 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 4

Worked Example 10

Problem: 6 objects are shared equally among 2 people. How many does each person get?

  1. Make equal groups.
  2. Share until all objects are used.
  3. Check that every group is equal.

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

29.8 Grouping by 2

Grouping by 2 is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 11 and 18 to make a simple example about Grouping by 2.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 2.

Worked Example 2

Problem: Use 2 and 8 to make a simple example about Grouping by 2.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 2.

Worked Example 3

Problem: Use 5 and 5 to make a simple example about Grouping by 2.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 2.

Worked Example 4

Problem: Use 1 and 2 to make a simple example about Grouping by 2.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 2.

Worked Example 5

Problem: Use 20 and 8 to make a simple example about Grouping by 2.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 2.

Worked Example 6

Problem: Use 8 and 11 to make a simple example about Grouping by 2.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 2.

Worked Example 7

Problem: Use 13 and 20 to make a simple example about Grouping by 2.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 2.

Worked Example 8

Problem: Use 14 and 16 to make a simple example about Grouping by 2.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 2.

Worked Example 9

Problem: Use 17 and 2 to make a simple example about Grouping by 2.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 2.

Worked Example 10

Problem: Use 13 and 10 to make a simple example about Grouping by 2.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 2.

29.9 Grouping by 5

Grouping by 5 is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 12 and 4 to make a simple example about Grouping by 5.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 5.

Worked Example 2

Problem: Use 4 and 18 to make a simple example about Grouping by 5.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 5.

Worked Example 3

Problem: Use 8 and 16 to make a simple example about Grouping by 5.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 5.

Worked Example 4

Problem: Use 6 and 12 to make a simple example about Grouping by 5.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 5.

Worked Example 5

Problem: Use 18 and 7 to make a simple example about Grouping by 5.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 5.

Worked Example 6

Problem: Use 19 and 8 to make a simple example about Grouping by 5.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 5.

Worked Example 7

Problem: Use 4 and 3 to make a simple example about Grouping by 5.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 5.

Worked Example 8

Problem: Use 19 and 12 to make a simple example about Grouping by 5.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 5.

Worked Example 9

Problem: Use 6 and 2 to make a simple example about Grouping by 5.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 5.

Worked Example 10

Problem: Use 9 and 20 to make a simple example about Grouping by 5.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Grouping by 5.

29.10 Connecting division and repeated subtraction

Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Find 106 − 19.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 87

Worked Example 2

Problem: Find 83 − 54.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 29

Worked Example 3

Problem: Find 105 − 25.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 80

Worked Example 4

Problem: Find 142 − 59.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 83

Worked Example 5

Problem: Find 57 − 42.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 15

Worked Example 6

Problem: Find 127 − 36.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 91

Worked Example 7

Problem: Find 140 − 14.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 126

Worked Example 8

Problem: Find 75 − 31.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 44

Worked Example 9

Problem: Find 109 − 46.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 63

Worked Example 10

Problem: Find 132 − 49.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 83

29.11 Checking equal shares

Checking equal shares is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 5 and 20 to make a simple example about Checking equal shares.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Checking equal shares.

Worked Example 2

Problem: Use 19 and 11 to make a simple example about Checking equal shares.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Checking equal shares.

Worked Example 3

Problem: Use 6 and 2 to make a simple example about Checking equal shares.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Checking equal shares.

Worked Example 4

Problem: Use 17 and 2 to make a simple example about Checking equal shares.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Checking equal shares.

Worked Example 5

Problem: Use 10 and 19 to make a simple example about Checking equal shares.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Checking equal shares.

Worked Example 6

Problem: Use 5 and 17 to make a simple example about Checking equal shares.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Checking equal shares.

Worked Example 7

Problem: Use 11 and 20 to make a simple example about Checking equal shares.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Checking equal shares.

Worked Example 8

Problem: Use 11 and 14 to make a simple example about Checking equal shares.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Checking equal shares.

Worked Example 9

Problem: Use 5 and 3 to make a simple example about Checking equal shares.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Checking equal shares.

Worked Example 10

Problem: Use 5 and 19 to make a simple example about Checking equal shares.

  1. Recall the topic meaning.
  2. Use objects, a drawing, or a number sentence.
  3. Check that the example matches the idea.

Very beginner explanation: Simple models make Grade 2 ideas easier to understand.

Answer: A correct Grade 2 example of Checking equal shares.

29.12 Simple division stories

Early division means sharing equally or making equal groups. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: 10 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 5

Worked Example 2

Problem: 25 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 5

Worked Example 3

Problem: 6 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

Worked Example 4

Problem: 6 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 3

Worked Example 5

Problem: 10 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 5

Worked Example 6

Problem: 4 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 2

Worked Example 7

Problem: 20 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 4

Worked Example 8

Problem: 10 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 2

Worked Example 9

Problem: 10 objects are shared into 2 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 5

Worked Example 10

Problem: 20 objects are shared into 5 equal groups. How many are in each group?

  1. Make the equal groups.
  2. Share one at a time.

Very beginner explanation: Division can mean equal sharing.

Answer: 4

30 Review Questions and Answers

Q1. What should a Grade 2 learner understand about Division as equal sharing?

Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.

Q2. What should a Grade 2 learner understand about Division as making groups?

Answer: Early division means sharing equally or making equal groups.

Q3. What should a Grade 2 learner understand about Using the division symbol?

Answer: Early division means sharing equally or making equal groups.

Q4. What should a Grade 2 learner understand about Writing a division sentence?

Answer: Early division means sharing equally or making equal groups.

Q5. What should a Grade 2 learner understand about Sharing into 2 groups?

Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.

Q6. What should a Grade 2 learner understand about Sharing into 3 groups?

Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.

Q7. What should a Grade 2 learner understand about Sharing into 4 groups?

Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.

Q8. What should a Grade 2 learner understand about Grouping by 2?

Answer: Grouping by 2 is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q9. What should a Grade 2 learner understand about Grouping by 5?

Answer: Grouping by 5 is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q10. What should a Grade 2 learner understand about Connecting division and repeated subtraction?

Answer: Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer.

Q11. What should a Grade 2 learner understand about Checking equal shares?

Answer: Checking equal shares is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q12. What should a Grade 2 learner understand about Simple division stories?

Answer: Early division means sharing equally or making equal groups.

Q13. What should a Grade 2 learner understand about Division as equal sharing?

Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.

Q14. What should a Grade 2 learner understand about Division as making groups?

Answer: Early division means sharing equally or making equal groups.

Q15. What should a Grade 2 learner understand about Using the division symbol?

Answer: Early division means sharing equally or making equal groups.

Q16. What should a Grade 2 learner understand about Writing a division sentence?

Answer: Early division means sharing equally or making equal groups.

Q17. What should a Grade 2 learner understand about Sharing into 2 groups?

Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.

Q18. What should a Grade 2 learner understand about Sharing into 3 groups?

Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.

Q19. What should a Grade 2 learner understand about Sharing into 4 groups?

Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.

Q20. What should a Grade 2 learner understand about Grouping by 2?

Answer: Grouping by 2 is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q21. What should a Grade 2 learner understand about Grouping by 5?

Answer: Grouping by 5 is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q22. What should a Grade 2 learner understand about Connecting division and repeated subtraction?

Answer: Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer.

Q23. What should a Grade 2 learner understand about Checking equal shares?

Answer: Checking equal shares is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q24. What should a Grade 2 learner understand about Simple division stories?

Answer: Early division means sharing equally or making equal groups.

Q25. What should a Grade 2 learner understand about Division as equal sharing?

Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.

Q26. What should a Grade 2 learner understand about Division as making groups?

Answer: Early division means sharing equally or making equal groups.

Q27. What should a Grade 2 learner understand about Using the division symbol?

Answer: Early division means sharing equally or making equal groups.

Q28. What should a Grade 2 learner understand about Writing a division sentence?

Answer: Early division means sharing equally or making equal groups.

Q29. What should a Grade 2 learner understand about Sharing into 2 groups?

Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.

Q30. What should a Grade 2 learner understand about Sharing into 3 groups?

Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.