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Chapter 14: Comparing Fraction Shares

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 Comparing Fraction Shares with simple explanations, visual thinking, worked examples, practice, and review.

14.1 Comparing one half and one fourth

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: 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: 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: 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 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: 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: 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: 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: 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

14.2 Comparing one half and one third

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

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

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 7

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

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

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

Worked Example 10

Problem: 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

14.3 Comparing one third and one fourth

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

10 Worked Examples with Answers

Worked Example 1

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

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

Very beginner explanation: Fair sharing creates equal groups.

Answer: 1

Worked Example 2

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

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

Very beginner explanation: Fair sharing creates equal groups.

Answer: 3

Worked Example 5

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

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

Very beginner explanation: Fair sharing creates equal groups.

Answer: 4

Worked Example 6

Problem: 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: 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 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: 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 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

14.4 More equal parts means smaller parts

More equal parts means smaller 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 16 and 17 to make a simple example about More equal parts means smaller 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 More equal parts means smaller parts.

Worked Example 2

Problem: Use 11 and 3 to make a simple example about More equal parts means smaller 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 More equal parts means smaller parts.

Worked Example 3

Problem: Use 18 and 15 to make a simple example about More equal parts means smaller 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 More equal parts means smaller parts.

Worked Example 4

Problem: Use 8 and 16 to make a simple example about More equal parts means smaller 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 More equal parts means smaller parts.

Worked Example 5

Problem: Use 6 and 5 to make a simple example about More equal parts means smaller 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 More equal parts means smaller parts.

Worked Example 6

Problem: Use 1 and 6 to make a simple example about More equal parts means smaller 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 More equal parts means smaller parts.

Worked Example 7

Problem: Use 6 and 17 to make a simple example about More equal parts means smaller 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 More equal parts means smaller parts.

Worked Example 8

Problem: Use 17 and 15 to make a simple example about More equal parts means smaller 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 More equal parts means smaller parts.

Worked Example 9

Problem: Use 11 and 7 to make a simple example about More equal parts means smaller 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 More equal parts means smaller parts.

Worked Example 10

Problem: Use 12 and 1 to make a simple example about More equal parts means smaller 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 More equal parts means smaller parts.

14.5 Same whole versus different wholes

Same whole versus different wholes 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 6 and 19 to make a simple example about Same whole versus different wholes.

  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 Same whole versus different wholes.

Worked Example 2

Problem: Use 19 and 18 to make a simple example about Same whole versus different wholes.

  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 Same whole versus different wholes.

Worked Example 3

Problem: Use 13 and 2 to make a simple example about Same whole versus different wholes.

  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 Same whole versus different wholes.

Worked Example 4

Problem: Use 17 and 2 to make a simple example about Same whole versus different wholes.

  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 Same whole versus different wholes.

Worked Example 5

Problem: Use 9 and 18 to make a simple example about Same whole versus different wholes.

  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 Same whole versus different wholes.

Worked Example 6

Problem: Use 3 and 19 to make a simple example about Same whole versus different wholes.

  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 Same whole versus different wholes.

Worked Example 7

Problem: Use 6 and 2 to make a simple example about Same whole versus different wholes.

  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 Same whole versus different wholes.

Worked Example 8

Problem: Use 9 and 17 to make a simple example about Same whole versus different wholes.

  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 Same whole versus different wholes.

Worked Example 9

Problem: Use 20 and 19 to make a simple example about Same whole versus different wholes.

  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 Same whole versus different wholes.

Worked Example 10

Problem: Use 14 and 4 to make a simple example about Same whole versus different wholes.

  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 Same whole versus different wholes.

14.6 Using paper folding to compare fractions

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: 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 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: 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: 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 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 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: 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: 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

14.7 Using fraction pieces

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: 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: 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 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: 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: 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 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: 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: 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

14.8 Using pictures to compare shares

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

10 Worked Examples with Answers

Worked Example 1

Problem: Use 8 and 19 to make a simple example about Using pictures to compare shares.

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

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

Answer: A correct Grade 2 example of Using pictures to compare shares.

Worked Example 2

Problem: Use 18 and 15 to make a simple example about Using pictures to compare shares.

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

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

Answer: A correct Grade 2 example of Using pictures to compare shares.

Worked Example 3

Problem: Use 2 and 13 to make a simple example about Using pictures to compare shares.

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

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

Answer: A correct Grade 2 example of Using pictures to compare shares.

Worked Example 4

Problem: Use 20 and 2 to make a simple example about Using pictures to compare shares.

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

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

Answer: A correct Grade 2 example of Using pictures to compare shares.

Worked Example 5

Problem: Use 9 and 4 to make a simple example about Using pictures to compare shares.

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

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

Answer: A correct Grade 2 example of Using pictures to compare shares.

Worked Example 6

Problem: Use 6 and 6 to make a simple example about Using pictures to compare shares.

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

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

Answer: A correct Grade 2 example of Using pictures to compare shares.

Worked Example 7

Problem: Use 11 and 5 to make a simple example about Using pictures to compare shares.

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

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

Answer: A correct Grade 2 example of Using pictures to compare shares.

Worked Example 8

Problem: Use 18 and 18 to make a simple example about Using pictures to compare shares.

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

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

Answer: A correct Grade 2 example of Using pictures to compare shares.

Worked Example 9

Problem: Use 17 and 7 to make a simple example about Using pictures to compare shares.

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

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

Answer: A correct Grade 2 example of Using pictures to compare shares.

Worked Example 10

Problem: Use 15 and 5 to make a simple example about Using pictures to compare shares.

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

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

Answer: A correct Grade 2 example of Using pictures to compare shares.

14.9 Ordering simple unit fractions

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

10 Worked Examples with Answers

Worked Example 1

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

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

Very beginner explanation: Fair sharing creates equal groups.

Answer: 1

Worked Example 2

Problem: 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: 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: 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 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 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: 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 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: 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: 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

14.10 Explaining which share is larger

Explaining which share is larger 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 6 to make a simple example about Explaining which share is larger.

  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 Explaining which share is larger.

Worked Example 2

Problem: Use 19 and 13 to make a simple example about Explaining which share is larger.

  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 Explaining which share is larger.

Worked Example 3

Problem: Use 6 and 14 to make a simple example about Explaining which share is larger.

  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 Explaining which share is larger.

Worked Example 4

Problem: Use 20 and 19 to make a simple example about Explaining which share is larger.

  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 Explaining which share is larger.

Worked Example 5

Problem: Use 10 and 16 to make a simple example about Explaining which share is larger.

  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 Explaining which share is larger.

Worked Example 6

Problem: Use 1 and 19 to make a simple example about Explaining which share is larger.

  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 Explaining which share is larger.

Worked Example 7

Problem: Use 20 and 10 to make a simple example about Explaining which share is larger.

  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 Explaining which share is larger.

Worked Example 8

Problem: Use 8 and 2 to make a simple example about Explaining which share is larger.

  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 Explaining which share is larger.

Worked Example 9

Problem: Use 6 and 13 to make a simple example about Explaining which share is larger.

  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 Explaining which share is larger.

Worked Example 10

Problem: Use 6 and 13 to make a simple example about Explaining which share is larger.

  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 Explaining which share is larger.

14.11 Checking a fraction comparison

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

10 Worked Examples with Answers

Worked Example 1

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

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

Very beginner explanation: Fair sharing creates equal groups.

Answer: 1

Worked Example 2

Problem: 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: 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: 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 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: 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: 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: 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: 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

14.12 Real-life fraction comparisons

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

10 Worked Examples with Answers

Worked Example 1

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

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

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 2

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

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

Very beginner explanation: Fair sharing creates equal groups.

Answer: 2

Worked Example 3

Problem: 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: 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: 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: 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: 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: 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 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

30 Review Questions and Answers

Q1. What should a Grade 2 learner understand about Comparing one half and one fourth?

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

Q2. What should a Grade 2 learner understand about Comparing one half and one third?

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 Comparing one third and one fourth?

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 More equal parts means smaller parts?

Answer: More equal parts means smaller parts 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 Same whole versus different wholes?

Answer: Same whole versus different wholes is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q6. What should a Grade 2 learner understand about Using paper folding to compare fractions?

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 Using fraction pieces?

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 Using pictures to compare shares?

Answer: Using pictures to compare shares is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q9. What should a Grade 2 learner understand about Ordering simple unit fractions?

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 Explaining which share is larger?

Answer: Explaining which share is larger 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 Checking a fraction comparison?

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 Real-life fraction comparisons?

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 Comparing one half and one fourth?

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

Q14. What should a Grade 2 learner understand about Comparing one half and one third?

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 Comparing one third and one fourth?

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 More equal parts means smaller parts?

Answer: More equal parts means smaller parts 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 Same whole versus different wholes?

Answer: Same whole versus different wholes is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q18. What should a Grade 2 learner understand about Using paper folding to compare fractions?

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 Using fraction pieces?

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 Using pictures to compare shares?

Answer: Using pictures to compare shares is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q21. What should a Grade 2 learner understand about Ordering simple unit fractions?

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 Explaining which share is larger?

Answer: Explaining which share is larger 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 Checking a fraction comparison?

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 Real-life fraction comparisons?

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 Comparing one half and one fourth?

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

Q26. What should a Grade 2 learner understand about Comparing one half and one third?

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 Comparing one third and one fourth?

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 More equal parts means smaller parts?

Answer: More equal parts means smaller parts 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 Same whole versus different wholes?

Answer: Same whole versus different wholes is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q30. What should a Grade 2 learner understand about Using paper folding to compare fractions?

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