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Chapter 13: Halves, Thirds, and Fourths

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 Halves, Thirds, and Fourths with simple explanations, visual thinking, worked examples, practice, and review.

13.1 Recognizing halves

Recognizing halves 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 9 and 15 to make a simple example about Recognizing halves.

  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 Recognizing halves.

Worked Example 2

Problem: Use 15 and 6 to make a simple example about Recognizing halves.

  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 Recognizing halves.

Worked Example 3

Problem: Use 10 and 14 to make a simple example about Recognizing halves.

  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 Recognizing halves.

Worked Example 4

Problem: Use 15 and 18 to make a simple example about Recognizing halves.

  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 Recognizing halves.

Worked Example 5

Problem: Use 10 and 17 to make a simple example about Recognizing halves.

  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 Recognizing halves.

Worked Example 6

Problem: Use 2 and 20 to make a simple example about Recognizing halves.

  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 Recognizing halves.

Worked Example 7

Problem: Use 18 and 19 to make a simple example about Recognizing halves.

  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 Recognizing halves.

Worked Example 8

Problem: Use 15 and 19 to make a simple example about Recognizing halves.

  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 Recognizing halves.

Worked Example 9

Problem: Use 6 and 7 to make a simple example about Recognizing halves.

  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 Recognizing halves.

Worked Example 10

Problem: Use 4 and 19 to make a simple example about Recognizing halves.

  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 Recognizing halves.

13.2 Recognizing thirds

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: 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 2

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 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: 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 7

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 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: 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: 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

13.3 Recognizing fourths

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: 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 2

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 3

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 4

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 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: 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 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: 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

13.4 Making halves

Making halves 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 1 and 14 to make a simple example about Making halves.

  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 Making halves.

Worked Example 2

Problem: Use 18 and 18 to make a simple example about Making halves.

  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 Making halves.

Worked Example 3

Problem: Use 4 and 19 to make a simple example about Making halves.

  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 Making halves.

Worked Example 4

Problem: Use 17 and 11 to make a simple example about Making halves.

  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 Making halves.

Worked Example 5

Problem: Use 2 and 7 to make a simple example about Making halves.

  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 Making halves.

Worked Example 6

Problem: Use 15 and 18 to make a simple example about Making halves.

  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 Making halves.

Worked Example 7

Problem: Use 12 and 11 to make a simple example about Making halves.

  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 Making halves.

Worked Example 8

Problem: Use 4 and 9 to make a simple example about Making halves.

  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 Making halves.

Worked Example 9

Problem: Use 19 and 8 to make a simple example about Making halves.

  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 Making halves.

Worked Example 10

Problem: Use 4 and 12 to make a simple example about Making halves.

  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 Making halves.

13.5 Making thirds

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: 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 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: 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 4

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 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: 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 7

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 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: 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

13.6 Making fourths

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: 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 2

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 3

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 4

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 5

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 6

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 7

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 8

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 9

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 10

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

13.7 Two halves make one whole

Two halves make one whole 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 17 and 3 to make a simple example about Two halves make one whole.

  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 Two halves make one whole.

Worked Example 2

Problem: Use 16 and 6 to make a simple example about Two halves make one whole.

  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 Two halves make one whole.

Worked Example 3

Problem: Use 17 and 3 to make a simple example about Two halves make one whole.

  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 Two halves make one whole.

Worked Example 4

Problem: Use 2 and 1 to make a simple example about Two halves make one whole.

  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 Two halves make one whole.

Worked Example 5

Problem: Use 6 and 13 to make a simple example about Two halves make one whole.

  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 Two halves make one whole.

Worked Example 6

Problem: Use 13 and 19 to make a simple example about Two halves make one whole.

  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 Two halves make one whole.

Worked Example 7

Problem: Use 5 and 8 to make a simple example about Two halves make one whole.

  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 Two halves make one whole.

Worked Example 8

Problem: Use 18 and 7 to make a simple example about Two halves make one whole.

  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 Two halves make one whole.

Worked Example 9

Problem: Use 6 and 6 to make a simple example about Two halves make one whole.

  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 Two halves make one whole.

Worked Example 10

Problem: Use 1 and 11 to make a simple example about Two halves make one whole.

  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 Two halves make one whole.

13.8 Three thirds make one whole

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: 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 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: 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 5

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 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 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 8

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 9

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 10

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

13.9 Four fourths make one whole

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: 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 2

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 3

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 4

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 5

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 6

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 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: 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 9

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 10

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

13.10 Fraction parts of sets

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 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 2

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 3

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 4

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 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: 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 7

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 8

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 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: 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

13.11 Fraction parts of lengths

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: 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 2

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 3

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 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: 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 6

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 7

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 8

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 9

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 10

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

13.12 Choosing a fraction model

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: 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 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: 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: 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 5

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 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: 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 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: 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 10

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

30 Review Questions and Answers

Q1. What should a Grade 2 learner understand about Recognizing halves?

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

Q2. What should a Grade 2 learner understand about Recognizing thirds?

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

Q3. What should a Grade 2 learner understand about Recognizing fourths?

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

Q4. What should a Grade 2 learner understand about Making halves?

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

Q5. What should a Grade 2 learner understand about Making thirds?

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 Making fourths?

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 Two halves make one whole?

Answer: Two halves make one whole is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q8. What should a Grade 2 learner understand about Three thirds make one whole?

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

Q9. What should a Grade 2 learner understand about Four fourths make one whole?

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

Q10. What should a Grade 2 learner understand about Fraction parts of sets?

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

Q11. What should a Grade 2 learner understand about Fraction parts of lengths?

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

Q12. What should a Grade 2 learner understand about Choosing a fraction model?

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

Q13. What should a Grade 2 learner understand about Recognizing halves?

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

Q14. What should a Grade 2 learner understand about Recognizing thirds?

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

Q15. What should a Grade 2 learner understand about Recognizing fourths?

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

Q16. What should a Grade 2 learner understand about Making halves?

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

Q17. What should a Grade 2 learner understand about Making thirds?

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 Making fourths?

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 Two halves make one whole?

Answer: Two halves make one whole is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q20. What should a Grade 2 learner understand about Three thirds make one whole?

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

Q21. What should a Grade 2 learner understand about Four fourths make one whole?

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

Q22. What should a Grade 2 learner understand about Fraction parts of sets?

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

Q23. What should a Grade 2 learner understand about Fraction parts of lengths?

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

Q24. What should a Grade 2 learner understand about Choosing a fraction model?

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

Q25. What should a Grade 2 learner understand about Recognizing halves?

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

Q26. What should a Grade 2 learner understand about Recognizing thirds?

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

Q27. What should a Grade 2 learner understand about Recognizing fourths?

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

Q28. What should a Grade 2 learner understand about Making halves?

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

Q29. What should a Grade 2 learner understand about Making thirds?

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 Making fourths?

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