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Chapter 15: Fraction Parts Greater Than One Whole

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 Fraction Parts Greater Than One Whole with simple explanations, visual thinking, worked examples, practice, and review.

15.1 Joining two halves

Joining two 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 11 and 12 to make a simple example about Joining two 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 Joining two halves.

Worked Example 2

Problem: Use 4 and 17 to make a simple example about Joining two 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 Joining two halves.

Worked Example 3

Problem: Use 17 and 17 to make a simple example about Joining two 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 Joining two halves.

Worked Example 4

Problem: Use 18 and 2 to make a simple example about Joining two 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 Joining two halves.

Worked Example 5

Problem: Use 6 and 14 to make a simple example about Joining two 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 Joining two halves.

Worked Example 6

Problem: Use 8 and 9 to make a simple example about Joining two 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 Joining two halves.

Worked Example 7

Problem: Use 16 and 2 to make a simple example about Joining two 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 Joining two halves.

Worked Example 8

Problem: Use 14 and 13 to make a simple example about Joining two 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 Joining two halves.

Worked Example 9

Problem: Use 20 and 1 to make a simple example about Joining two 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 Joining two halves.

Worked Example 10

Problem: Use 19 and 1 to make a simple example about Joining two 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 Joining two halves.

15.2 Joining three halves

Joining three 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 11 and 10 to make a simple example about Joining three 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 Joining three halves.

Worked Example 2

Problem: Use 9 and 14 to make a simple example about Joining three 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 Joining three halves.

Worked Example 3

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

Worked Example 4

Problem: Use 10 and 3 to make a simple example about Joining three 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 Joining three halves.

Worked Example 5

Problem: Use 15 and 4 to make a simple example about Joining three 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 Joining three halves.

Worked Example 6

Problem: Use 18 and 8 to make a simple example about Joining three 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 Joining three halves.

Worked Example 7

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

Worked Example 8

Problem: Use 1 and 14 to make a simple example about Joining three 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 Joining three halves.

Worked Example 9

Problem: Use 16 and 15 to make a simple example about Joining three 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 Joining three halves.

Worked Example 10

Problem: Use 12 and 13 to make a simple example about Joining three 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 Joining three halves.

15.3 Joining four 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: 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: 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: 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: 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: 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: 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: 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 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 9

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 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

15.4 Joining five 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: 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: 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: 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: 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: 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 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 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 9

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 10

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

15.5 Regrouping fraction parts into wholes

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: 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 3

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 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: 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 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: 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: 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 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

15.6 One whole and extra parts

One whole and extra parts 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 10 and 18 to make a simple example about One whole and extra parts.

  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 One whole and extra parts.

Worked Example 2

Problem: Use 8 and 9 to make a simple example about One whole and extra parts.

  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 One whole and extra parts.

Worked Example 3

Problem: Use 13 and 15 to make a simple example about One whole and extra parts.

  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 One whole and extra parts.

Worked Example 4

Problem: Use 4 and 12 to make a simple example about One whole and extra parts.

  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 One whole and extra parts.

Worked Example 5

Problem: Use 7 and 14 to make a simple example about One whole and extra parts.

  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 One whole and extra parts.

Worked Example 6

Problem: Use 12 and 15 to make a simple example about One whole and extra parts.

  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 One whole and extra parts.

Worked Example 7

Problem: Use 2 and 20 to make a simple example about One whole and extra parts.

  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 One whole and extra parts.

Worked Example 8

Problem: Use 19 and 15 to make a simple example about One whole and extra parts.

  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 One whole and extra parts.

Worked Example 9

Problem: Use 2 and 6 to make a simple example about One whole and extra parts.

  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 One whole and extra parts.

Worked Example 10

Problem: Use 3 and 7 to make a simple example about One whole and extra parts.

  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 One whole and extra parts.

15.7 Sharing more than 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: 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: 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 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: 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: 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: 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: 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: 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

15.8 Counting fractional parts

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: 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 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: 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: 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 6

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 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: 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 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: 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

15.9 Building wholes from 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: 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: 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: 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: 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: 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: 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: 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: 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 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

15.10 Building wholes from halves

Building wholes from 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 8 and 2 to make a simple example about Building wholes from 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 Building wholes from halves.

Worked Example 2

Problem: Use 6 and 12 to make a simple example about Building wholes from 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 Building wholes from halves.

Worked Example 3

Problem: Use 5 and 14 to make a simple example about Building wholes from 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 Building wholes from halves.

Worked Example 4

Problem: Use 10 and 20 to make a simple example about Building wholes from 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 Building wholes from halves.

Worked Example 5

Problem: Use 17 and 13 to make a simple example about Building wholes from 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 Building wholes from halves.

Worked Example 6

Problem: Use 19 and 17 to make a simple example about Building wholes from 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 Building wholes from halves.

Worked Example 7

Problem: Use 19 and 16 to make a simple example about Building wholes from 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 Building wholes from halves.

Worked Example 8

Problem: Use 11 and 14 to make a simple example about Building wholes from 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 Building wholes from halves.

Worked Example 9

Problem: Use 10 and 17 to make a simple example about Building wholes from 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 Building wholes from halves.

Worked Example 10

Problem: Use 12 and 19 to make a simple example about Building wholes from 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 Building wholes from halves.

15.11 Using models for more than one whole

Using models for more than 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 20 and 18 to make a simple example about Using models for more than 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 Using models for more than one whole.

Worked Example 2

Problem: Use 10 and 5 to make a simple example about Using models for more than 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 Using models for more than one whole.

Worked Example 3

Problem: Use 15 and 17 to make a simple example about Using models for more than 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 Using models for more than one whole.

Worked Example 4

Problem: Use 9 and 5 to make a simple example about Using models for more than 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 Using models for more than one whole.

Worked Example 5

Problem: Use 16 and 11 to make a simple example about Using models for more than 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 Using models for more than one whole.

Worked Example 6

Problem: Use 5 and 12 to make a simple example about Using models for more than 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 Using models for more than one whole.

Worked Example 7

Problem: Use 8 and 12 to make a simple example about Using models for more than 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 Using models for more than one whole.

Worked Example 8

Problem: Use 3 and 2 to make a simple example about Using models for more than 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 Using models for more than one whole.

Worked Example 9

Problem: Use 20 and 5 to make a simple example about Using models for more than 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 Using models for more than one whole.

Worked Example 10

Problem: Use 16 and 6 to make a simple example about Using models for more than 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 Using models for more than one whole.

15.12 Explaining a regrouped fraction amount

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: 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: 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 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 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 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: 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: 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 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: 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

30 Review Questions and Answers

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

Answer: Joining two 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 Joining three halves?

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

Q3. What should a Grade 2 learner understand about Joining four 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 Joining five fourths?

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

Q5. What should a Grade 2 learner understand about Regrouping fraction parts into wholes?

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 One whole and extra parts?

Answer: One whole and extra parts is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q7. What should a Grade 2 learner understand about Sharing more than 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.

Q8. What should a Grade 2 learner understand about Counting fractional parts?

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 Building wholes from fourths?

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 Building wholes from halves?

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

Q11. What should a Grade 2 learner understand about Using models for more than one whole?

Answer: Using models for more than one whole 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 Explaining a regrouped fraction amount?

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 Joining two halves?

Answer: Joining two 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 Joining three halves?

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

Q15. What should a Grade 2 learner understand about Joining four 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 Joining five fourths?

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

Q17. What should a Grade 2 learner understand about Regrouping fraction parts into wholes?

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 One whole and extra parts?

Answer: One whole and extra parts is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q19. What should a Grade 2 learner understand about Sharing more than 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.

Q20. What should a Grade 2 learner understand about Counting fractional parts?

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 Building wholes from fourths?

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 Building wholes from halves?

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

Q23. What should a Grade 2 learner understand about Using models for more than one whole?

Answer: Using models for more than one whole 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 Explaining a regrouped fraction amount?

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 Joining two halves?

Answer: Joining two 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 Joining three halves?

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

Q27. What should a Grade 2 learner understand about Joining four 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 Joining five fourths?

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

Q29. What should a Grade 2 learner understand about Regrouping fraction parts into wholes?

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 One whole and extra parts?

Answer: One whole and extra parts is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.