Chapter 12: Equal Sharing and Fractions
Learn Grade 2 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Equal Sharing and Fractions with simple explanations, visual thinking, worked examples, practice, and review.
12.1 Sharing equally between 2 people
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?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- 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 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 4
Problem: 6 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 5
Problem: 8 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 8
Problem: 2 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 9
Problem: 4 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 10
Problem: 4 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
12.2 Sharing equally between 3 people
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?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 3
Problem: 4 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 6
Problem: 9 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 8
Problem: 2 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 10
Problem: 4 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
12.3 Sharing equally between 4 people
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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 2
Problem: 4 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 4
Problem: 12 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 5
Problem: 9 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 6
Problem: 16 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 7
Problem: 3 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 8
Problem: 3 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 9
Problem: 4 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 10
Problem: 6 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
12.4 Equal shares
Equal shares is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 4 and 12 to make a simple example about Equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Equal shares.
Worked Example 2
Problem: Use 13 and 13 to make a simple example about Equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Equal shares.
Worked Example 3
Problem: Use 18 and 19 to make a simple example about Equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Equal shares.
Worked Example 4
Problem: Use 1 and 5 to make a simple example about Equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Equal shares.
Worked Example 5
Problem: Use 19 and 20 to make a simple example about Equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Equal shares.
Worked Example 6
Problem: Use 5 and 15 to make a simple example about Equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Equal shares.
Worked Example 7
Problem: Use 19 and 2 to make a simple example about Equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Equal shares.
Worked Example 8
Problem: Use 8 and 3 to make a simple example about Equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Equal shares.
Worked Example 9
Problem: Use 5 and 9 to make a simple example about Equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Equal shares.
Worked Example 10
Problem: Use 7 and 19 to make a simple example about Equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Equal shares.
12.5 Unequal shares
Unequal 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 11 and 8 to make a simple example about Unequal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Unequal shares.
Worked Example 2
Problem: Use 2 and 18 to make a simple example about Unequal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Unequal shares.
Worked Example 3
Problem: Use 1 and 16 to make a simple example about Unequal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Unequal shares.
Worked Example 4
Problem: Use 5 and 8 to make a simple example about Unequal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Unequal shares.
Worked Example 5
Problem: Use 20 and 16 to make a simple example about Unequal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Unequal shares.
Worked Example 6
Problem: Use 15 and 7 to make a simple example about Unequal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Unequal shares.
Worked Example 7
Problem: Use 1 and 20 to make a simple example about Unequal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Unequal shares.
Worked Example 8
Problem: Use 12 and 3 to make a simple example about Unequal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Unequal shares.
Worked Example 9
Problem: Use 6 and 18 to make a simple example about Unequal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Unequal shares.
Worked Example 10
Problem: Use 8 and 20 to make a simple example about Unequal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Unequal shares.
12.6 One half
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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 2
Problem: 6 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 3
Problem: 8 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 4
Problem: 4 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 6
Problem: 3 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 8
Problem: 2 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 9
Problem: 6 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 10
Problem: 8 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
12.7 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: 3 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 3
Problem: 8 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 4
Problem: 8 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 5
Problem: 9 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 6
Problem: 6 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 7
Problem: 2 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 8
Problem: 9 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 9
Problem: 2 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
12.8 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: 3 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 3
Problem: 6 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 4
Problem: 16 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 5
Problem: 4 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 6
Problem: 4 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 9
Problem: 6 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
12.9 Fair sharing with objects
Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: 12 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 2
Problem: 4 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 3
Problem: 8 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 5
Problem: 6 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 6
Problem: 6 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 9
Problem: 3 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
12.10 Fair sharing with shapes
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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 2
Problem: 8 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 3
Problem: 16 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 4
Problem: 6 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 5
Problem: 8 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 7
Problem: 16 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 8
Problem: 6 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 3
Worked Example 9
Problem: 3 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 10
Problem: 4 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
12.11 Checking equal shares
Checking equal shares is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 13 and 11 to make a simple example about Checking equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Checking equal shares.
Worked Example 2
Problem: Use 16 and 18 to make a simple example about Checking equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Checking equal shares.
Worked Example 3
Problem: Use 18 and 1 to make a simple example about Checking equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Checking equal shares.
Worked Example 4
Problem: Use 13 and 2 to make a simple example about Checking equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Checking equal shares.
Worked Example 5
Problem: Use 12 and 8 to make a simple example about Checking equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Checking equal shares.
Worked Example 6
Problem: Use 16 and 10 to make a simple example about Checking equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Checking equal shares.
Worked Example 7
Problem: Use 11 and 15 to make a simple example about Checking equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Checking equal shares.
Worked Example 8
Problem: Use 6 and 2 to make a simple example about Checking equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Checking equal shares.
Worked Example 9
Problem: Use 4 and 17 to make a simple example about Checking equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Checking equal shares.
Worked Example 10
Problem: Use 9 and 16 to make a simple example about Checking equal shares.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- Check that the example matches the idea.
Very beginner explanation: Simple models make Grade 2 ideas easier to understand.
Answer: A correct Grade 2 example of Checking equal shares.
12.12 Real-life equal-sharing problems
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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 4
Worked Example 2
Problem: 9 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 4
Problem: 6 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 2
Worked Example 5
Problem: 2 objects are shared equally among 2 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 6
Problem: 3 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 8
Problem: 4 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 9
Problem: 4 objects are shared equally among 4 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- Check that every group is equal.
Very beginner explanation: Fair sharing creates equal groups.
Answer: 1
Worked Example 10
Problem: 6 objects are shared equally among 3 people. How many does each person get?
- Make equal groups.
- Share until all objects are used.
- 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 Sharing equally between 2 people?
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 Sharing equally between 3 people?
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 Sharing equally between 4 people?
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 Equal shares?
Answer: Equal shares 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 Unequal shares?
Answer: Unequal shares 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 One half?
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 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.
Q8. What should a Grade 2 learner understand about 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.
Q9. What should a Grade 2 learner understand about Fair sharing with objects?
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 Fair sharing with shapes?
Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.
Q11. What should a Grade 2 learner understand about Checking equal shares?
Answer: Checking equal shares is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q12. What should a Grade 2 learner understand about Real-life equal-sharing problems?
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 Sharing equally between 2 people?
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 Sharing equally between 3 people?
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 Sharing equally between 4 people?
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 Equal shares?
Answer: Equal shares 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 Unequal shares?
Answer: Unequal shares 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 One half?
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 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.
Q20. What should a Grade 2 learner understand about 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.
Q21. What should a Grade 2 learner understand about Fair sharing with objects?
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 Fair sharing with shapes?
Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.
Q23. What should a Grade 2 learner understand about Checking equal shares?
Answer: Checking equal shares is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q24. What should a Grade 2 learner understand about Real-life equal-sharing problems?
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 Sharing equally between 2 people?
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 Sharing equally between 3 people?
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 Sharing equally between 4 people?
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 Equal shares?
Answer: Equal shares 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 Unequal shares?
Answer: Unequal shares 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 One half?
Answer: Fractions begin with fair sharing. Equal parts must be the same size, and equal parts can be joined to make a whole.