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Chapter 29: Halves

Learn Grade 1 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.

Grade 1Beginner Friendly10 Examples Per Topic30 Q&APractice + Review
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Chapter Overview

This chapter teaches Halves with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.

Key Technical Terms

  • A half means one of two equal parts (a Grade 1 idea used in this chapter)
  • Making halves by folding (a Grade 1 idea used in this chapter)
  • Halves of shapes (a Grade 1 idea used in this chapter)
  • Halves of sets (a Grade 1 idea used in this chapter)
  • Sharing between two people (a Grade 1 idea used in this chapter)
  • Two halves make one whole (a Grade 1 idea used in this chapter)
  • Recognizing equal halves (a Grade 1 idea used in this chapter)
  • Recognizing non-halves (a Grade 1 idea used in this chapter)
  • Drawing halves (a Grade 1 idea used in this chapter)
  • Halves review (a Grade 1 idea used in this chapter)

How to Learn This Chapter

Read or listen to the explanation, use objects or pictures when helpful, follow one step at a time, and try the example again before checking the answer.

29.1 A half means one of two equal parts

A half means one of two equal parts introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Beginner Note

Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: What does A half means one of two equal parts mean?

  1. Say the topic in simple words.
  2. Use objects, fingers, a drawing, or a number example.
  3. Tell what you notice.

Very beginner explanation: A half means one of two equal parts introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: A half means one of two equal parts introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Worked Example 2

Problem: Show one small example of A half means one of two equal parts.

  1. Choose small numbers or a simple shape/object.
  2. Make a model or drawing.
  3. Describe what the model shows.

Very beginner explanation: A half means one of two equal parts introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: A correct small model or drawing can show the meaning of A half means one of two equal parts.

Worked Example 3

Problem: Which tool could help with A half means one of two equal parts?

  1. Think about counters, fingers, a ten frame, number line, picture, table, or real object.
  2. Choose the tool that makes the idea easiest to see.

Very beginner explanation: A half means one of two equal parts introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Use a simple tool that lets you see and check the quantities or shapes.

Worked Example 4

Problem: How can you check your work in A half means one of two equal parts?

  1. Look at the objects, drawing, or numbers again.
  2. Count or compare one more time.
  3. Make sure the answer matches the question.

Very beginner explanation: A half means one of two equal parts introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Check by recounting, comparing, or using a second simple model.

Worked Example 5

Problem: Where might you use A half means one of two equal parts in everyday life?

  1. Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
  2. Choose one situation.
  3. Explain how the math helps.

Very beginner explanation: A half means one of two equal parts introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: A half means one of two equal parts can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Share 6 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Worked Example 7

Problem: Share 8 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 4

Worked Example 8

Problem: Share 4 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 1

Worked Example 9

Problem: Share 8 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 2

Worked Example 10

Problem: Share 12 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Practice Exercise

Create one small question about A half means one of two equal parts. Show it with objects, a picture, or numbers, then check by counting or comparing again.

29.2 Making halves by folding

Making halves by folding introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Beginner Note

Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: What does Making halves by folding mean?

  1. Say the topic in simple words.
  2. Use objects, fingers, a drawing, or a number example.
  3. Tell what you notice.

Very beginner explanation: Making halves by folding introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Making halves by folding introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Worked Example 2

Problem: Show one small example of Making halves by folding.

  1. Choose small numbers or a simple shape/object.
  2. Make a model or drawing.
  3. Describe what the model shows.

Very beginner explanation: Making halves by folding introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: A correct small model or drawing can show the meaning of Making halves by folding.

Worked Example 3

Problem: Which tool could help with Making halves by folding?

  1. Think about counters, fingers, a ten frame, number line, picture, table, or real object.
  2. Choose the tool that makes the idea easiest to see.

Very beginner explanation: Making halves by folding introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Use a simple tool that lets you see and check the quantities or shapes.

Worked Example 4

Problem: How can you check your work in Making halves by folding?

  1. Look at the objects, drawing, or numbers again.
  2. Count or compare one more time.
  3. Make sure the answer matches the question.

Very beginner explanation: Making halves by folding introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Check by recounting, comparing, or using a second simple model.

Worked Example 5

Problem: Where might you use Making halves by folding in everyday life?

  1. Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
  2. Choose one situation.
  3. Explain how the math helps.

Very beginner explanation: Making halves by folding introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Making halves by folding can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Share 6 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Worked Example 7

Problem: Share 8 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 4

Worked Example 8

Problem: Share 4 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 1

Worked Example 9

Problem: Share 8 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 2

Worked Example 10

Problem: Share 12 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Practice Exercise

Create one small question about Making halves by folding. Show it with objects, a picture, or numbers, then check by counting or comparing again.

29.3 Halves of shapes

Halves of shapes introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Beginner Note

Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: What does Halves of shapes mean?

  1. Say the topic in simple words.
  2. Use objects, fingers, a drawing, or a number example.
  3. Tell what you notice.

Very beginner explanation: Halves of shapes introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Halves of shapes introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Worked Example 2

Problem: Show one small example of Halves of shapes.

  1. Choose small numbers or a simple shape/object.
  2. Make a model or drawing.
  3. Describe what the model shows.

Very beginner explanation: Halves of shapes introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: A correct small model or drawing can show the meaning of Halves of shapes.

Worked Example 3

Problem: Which tool could help with Halves of shapes?

  1. Think about counters, fingers, a ten frame, number line, picture, table, or real object.
  2. Choose the tool that makes the idea easiest to see.

Very beginner explanation: Halves of shapes introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Use a simple tool that lets you see and check the quantities or shapes.

Worked Example 4

Problem: How can you check your work in Halves of shapes?

  1. Look at the objects, drawing, or numbers again.
  2. Count or compare one more time.
  3. Make sure the answer matches the question.

Very beginner explanation: Halves of shapes introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Check by recounting, comparing, or using a second simple model.

Worked Example 5

Problem: Where might you use Halves of shapes in everyday life?

  1. Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
  2. Choose one situation.
  3. Explain how the math helps.

Very beginner explanation: Halves of shapes introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Halves of shapes can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Share 6 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Worked Example 7

Problem: Share 8 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 4

Worked Example 8

Problem: Share 4 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 1

Worked Example 9

Problem: Share 8 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 2

Worked Example 10

Problem: Share 12 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Practice Exercise

Create one small question about Halves of shapes. Show it with objects, a picture, or numbers, then check by counting or comparing again.

29.4 Halves of sets

Halves of sets introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Beginner Note

Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: What does Halves of sets mean?

  1. Say the topic in simple words.
  2. Use objects, fingers, a drawing, or a number example.
  3. Tell what you notice.

Very beginner explanation: Halves of sets introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Halves of sets introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Worked Example 2

Problem: Show one small example of Halves of sets.

  1. Choose small numbers or a simple shape/object.
  2. Make a model or drawing.
  3. Describe what the model shows.

Very beginner explanation: Halves of sets introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: A correct small model or drawing can show the meaning of Halves of sets.

Worked Example 3

Problem: Which tool could help with Halves of sets?

  1. Think about counters, fingers, a ten frame, number line, picture, table, or real object.
  2. Choose the tool that makes the idea easiest to see.

Very beginner explanation: Halves of sets introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Use a simple tool that lets you see and check the quantities or shapes.

Worked Example 4

Problem: How can you check your work in Halves of sets?

  1. Look at the objects, drawing, or numbers again.
  2. Count or compare one more time.
  3. Make sure the answer matches the question.

Very beginner explanation: Halves of sets introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Check by recounting, comparing, or using a second simple model.

Worked Example 5

Problem: Where might you use Halves of sets in everyday life?

  1. Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
  2. Choose one situation.
  3. Explain how the math helps.

Very beginner explanation: Halves of sets introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Halves of sets can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Share 6 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Worked Example 7

Problem: Share 8 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 4

Worked Example 8

Problem: Share 4 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 1

Worked Example 9

Problem: Share 8 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 2

Worked Example 10

Problem: Share 12 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Practice Exercise

Create one small question about Halves of sets. Show it with objects, a picture, or numbers, then check by counting or comparing again.

29.5 Sharing between two people

Sharing between two people is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.

Beginner Note

Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: What does Sharing between two people mean?

  1. Say the topic in simple words.
  2. Use objects, fingers, a drawing, or a number example.
  3. Tell what you notice.

Very beginner explanation: Sharing between two people is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.

Answer: Sharing between two people is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.

Worked Example 2

Problem: Show one small example of Sharing between two people.

  1. Choose small numbers or a simple shape/object.
  2. Make a model or drawing.
  3. Describe what the model shows.

Very beginner explanation: Sharing between two people is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.

Answer: A correct small model or drawing can show the meaning of Sharing between two people.

Worked Example 3

Problem: Which tool could help with Sharing between two people?

  1. Think about counters, fingers, a ten frame, number line, picture, table, or real object.
  2. Choose the tool that makes the idea easiest to see.

Very beginner explanation: Sharing between two people is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.

Answer: Use a simple tool that lets you see and check the quantities or shapes.

Worked Example 4

Problem: How can you check your work in Sharing between two people?

  1. Look at the objects, drawing, or numbers again.
  2. Count or compare one more time.
  3. Make sure the answer matches the question.

Very beginner explanation: Sharing between two people is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.

Answer: Check by recounting, comparing, or using a second simple model.

Worked Example 5

Problem: Where might you use Sharing between two people in everyday life?

  1. Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
  2. Choose one situation.
  3. Explain how the math helps.

Very beginner explanation: Sharing between two people is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.

Answer: Sharing between two people can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Show Sharing between two people with a simple Grade 1 example.

  1. Use small numbers, objects, or a drawing.
  2. Explain what the example shows.

Very beginner explanation: Grade 1 learners understand Sharing between two people best through concrete examples and clear words.

Answer: A correct simple example of Sharing between two people.

Worked Example 7

Problem: Show Sharing between two people with a simple Grade 1 example.

  1. Use small numbers, objects, or a drawing.
  2. Explain what the example shows.

Very beginner explanation: Grade 1 learners understand Sharing between two people best through concrete examples and clear words.

Answer: A correct simple example of Sharing between two people.

Worked Example 8

Problem: Show Sharing between two people with a simple Grade 1 example.

  1. Use small numbers, objects, or a drawing.
  2. Explain what the example shows.

Very beginner explanation: Grade 1 learners understand Sharing between two people best through concrete examples and clear words.

Answer: A correct simple example of Sharing between two people.

Worked Example 9

Problem: Show Sharing between two people with a simple Grade 1 example.

  1. Use small numbers, objects, or a drawing.
  2. Explain what the example shows.

Very beginner explanation: Grade 1 learners understand Sharing between two people best through concrete examples and clear words.

Answer: A correct simple example of Sharing between two people.

Worked Example 10

Problem: Show Sharing between two people with a simple Grade 1 example.

  1. Use small numbers, objects, or a drawing.
  2. Explain what the example shows.

Very beginner explanation: Grade 1 learners understand Sharing between two people best through concrete examples and clear words.

Answer: A correct simple example of Sharing between two people.

Practice Exercise

Create one small question about Sharing between two people. Show it with objects, a picture, or numbers, then check by counting or comparing again.

29.6 Two halves make one whole

Two halves make one whole introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Beginner Note

Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: What does Two halves make one whole mean?

  1. Say the topic in simple words.
  2. Use objects, fingers, a drawing, or a number example.
  3. Tell what you notice.

Very beginner explanation: Two halves make one whole introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Two halves make one whole introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Worked Example 2

Problem: Show one small example of Two halves make one whole.

  1. Choose small numbers or a simple shape/object.
  2. Make a model or drawing.
  3. Describe what the model shows.

Very beginner explanation: Two halves make one whole introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: A correct small model or drawing can show the meaning of Two halves make one whole.

Worked Example 3

Problem: Which tool could help with Two halves make one whole?

  1. Think about counters, fingers, a ten frame, number line, picture, table, or real object.
  2. Choose the tool that makes the idea easiest to see.

Very beginner explanation: Two halves make one whole introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Use a simple tool that lets you see and check the quantities or shapes.

Worked Example 4

Problem: How can you check your work in Two halves make one whole?

  1. Look at the objects, drawing, or numbers again.
  2. Count or compare one more time.
  3. Make sure the answer matches the question.

Very beginner explanation: Two halves make one whole introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Check by recounting, comparing, or using a second simple model.

Worked Example 5

Problem: Where might you use Two halves make one whole in everyday life?

  1. Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
  2. Choose one situation.
  3. Explain how the math helps.

Very beginner explanation: Two halves make one whole introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Two halves make one whole can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Share 6 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Worked Example 7

Problem: Share 8 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 4

Worked Example 8

Problem: Share 4 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 1

Worked Example 9

Problem: Share 8 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 2

Worked Example 10

Problem: Share 12 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Practice Exercise

Create one small question about Two halves make one whole. Show it with objects, a picture, or numbers, then check by counting or comparing again.

29.7 Recognizing equal halves

Recognizing equal halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Beginner Note

Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: What does Recognizing equal halves mean?

  1. Say the topic in simple words.
  2. Use objects, fingers, a drawing, or a number example.
  3. Tell what you notice.

Very beginner explanation: Recognizing equal halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Recognizing equal halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Worked Example 2

Problem: Show one small example of Recognizing equal halves.

  1. Choose small numbers or a simple shape/object.
  2. Make a model or drawing.
  3. Describe what the model shows.

Very beginner explanation: Recognizing equal halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: A correct small model or drawing can show the meaning of Recognizing equal halves.

Worked Example 3

Problem: Which tool could help with Recognizing equal halves?

  1. Think about counters, fingers, a ten frame, number line, picture, table, or real object.
  2. Choose the tool that makes the idea easiest to see.

Very beginner explanation: Recognizing equal halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Use a simple tool that lets you see and check the quantities or shapes.

Worked Example 4

Problem: How can you check your work in Recognizing equal halves?

  1. Look at the objects, drawing, or numbers again.
  2. Count or compare one more time.
  3. Make sure the answer matches the question.

Very beginner explanation: Recognizing equal halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Check by recounting, comparing, or using a second simple model.

Worked Example 5

Problem: Where might you use Recognizing equal halves in everyday life?

  1. Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
  2. Choose one situation.
  3. Explain how the math helps.

Very beginner explanation: Recognizing equal halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Recognizing equal halves can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Share 6 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Worked Example 7

Problem: Share 8 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 4

Worked Example 8

Problem: Share 4 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 1

Worked Example 9

Problem: Share 8 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 2

Worked Example 10

Problem: Share 12 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Practice Exercise

Create one small question about Recognizing equal halves. Show it with objects, a picture, or numbers, then check by counting or comparing again.

29.8 Recognizing non-halves

Recognizing non-halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Beginner Note

Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: What does Recognizing non-halves mean?

  1. Say the topic in simple words.
  2. Use objects, fingers, a drawing, or a number example.
  3. Tell what you notice.

Very beginner explanation: Recognizing non-halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Recognizing non-halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Worked Example 2

Problem: Show one small example of Recognizing non-halves.

  1. Choose small numbers or a simple shape/object.
  2. Make a model or drawing.
  3. Describe what the model shows.

Very beginner explanation: Recognizing non-halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: A correct small model or drawing can show the meaning of Recognizing non-halves.

Worked Example 3

Problem: Which tool could help with Recognizing non-halves?

  1. Think about counters, fingers, a ten frame, number line, picture, table, or real object.
  2. Choose the tool that makes the idea easiest to see.

Very beginner explanation: Recognizing non-halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Use a simple tool that lets you see and check the quantities or shapes.

Worked Example 4

Problem: How can you check your work in Recognizing non-halves?

  1. Look at the objects, drawing, or numbers again.
  2. Count or compare one more time.
  3. Make sure the answer matches the question.

Very beginner explanation: Recognizing non-halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Check by recounting, comparing, or using a second simple model.

Worked Example 5

Problem: Where might you use Recognizing non-halves in everyday life?

  1. Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
  2. Choose one situation.
  3. Explain how the math helps.

Very beginner explanation: Recognizing non-halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Recognizing non-halves can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Share 6 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Worked Example 7

Problem: Share 8 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 4

Worked Example 8

Problem: Share 4 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 1

Worked Example 9

Problem: Share 8 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 2

Worked Example 10

Problem: Share 12 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Practice Exercise

Create one small question about Recognizing non-halves. Show it with objects, a picture, or numbers, then check by counting or comparing again.

29.9 Drawing halves

Drawing halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Beginner Note

Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: What does Drawing halves mean?

  1. Say the topic in simple words.
  2. Use objects, fingers, a drawing, or a number example.
  3. Tell what you notice.

Very beginner explanation: Drawing halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Drawing halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Worked Example 2

Problem: Show one small example of Drawing halves.

  1. Choose small numbers or a simple shape/object.
  2. Make a model or drawing.
  3. Describe what the model shows.

Very beginner explanation: Drawing halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: A correct small model or drawing can show the meaning of Drawing halves.

Worked Example 3

Problem: Which tool could help with Drawing halves?

  1. Think about counters, fingers, a ten frame, number line, picture, table, or real object.
  2. Choose the tool that makes the idea easiest to see.

Very beginner explanation: Drawing halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Use a simple tool that lets you see and check the quantities or shapes.

Worked Example 4

Problem: How can you check your work in Drawing halves?

  1. Look at the objects, drawing, or numbers again.
  2. Count or compare one more time.
  3. Make sure the answer matches the question.

Very beginner explanation: Drawing halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Check by recounting, comparing, or using a second simple model.

Worked Example 5

Problem: Where might you use Drawing halves in everyday life?

  1. Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
  2. Choose one situation.
  3. Explain how the math helps.

Very beginner explanation: Drawing halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Drawing halves can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Share 6 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Worked Example 7

Problem: Share 8 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 4

Worked Example 8

Problem: Share 4 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 1

Worked Example 9

Problem: Share 8 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 2

Worked Example 10

Problem: Share 12 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Practice Exercise

Create one small question about Drawing halves. Show it with objects, a picture, or numbers, then check by counting or comparing again.

29.10 Halves review

Halves review introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Beginner Note

Start with real objects, fingers, or a picture. Say the idea aloud, try one small example, and check it by counting or comparing again.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: What does Halves review mean?

  1. Say the topic in simple words.
  2. Use objects, fingers, a drawing, or a number example.
  3. Tell what you notice.

Very beginner explanation: Halves review introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Halves review introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Worked Example 2

Problem: Show one small example of Halves review.

  1. Choose small numbers or a simple shape/object.
  2. Make a model or drawing.
  3. Describe what the model shows.

Very beginner explanation: Halves review introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: A correct small model or drawing can show the meaning of Halves review.

Worked Example 3

Problem: Which tool could help with Halves review?

  1. Think about counters, fingers, a ten frame, number line, picture, table, or real object.
  2. Choose the tool that makes the idea easiest to see.

Very beginner explanation: Halves review introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Use a simple tool that lets you see and check the quantities or shapes.

Worked Example 4

Problem: How can you check your work in Halves review?

  1. Look at the objects, drawing, or numbers again.
  2. Count or compare one more time.
  3. Make sure the answer matches the question.

Very beginner explanation: Halves review introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Check by recounting, comparing, or using a second simple model.

Worked Example 5

Problem: Where might you use Halves review in everyday life?

  1. Think about toys, snacks, books, classroom objects, calendars, shapes, or money.
  2. Choose one situation.
  3. Explain how the math helps.

Very beginner explanation: Halves review introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Answer: Halves review can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Share 6 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Worked Example 7

Problem: Share 8 counters equally among 2 groups. How many are in each group?

  1. Make 2 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 4

Worked Example 8

Problem: Share 4 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 1

Worked Example 9

Problem: Share 8 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 2

Worked Example 10

Problem: Share 12 counters equally among 4 groups. How many are in each group?

  1. Make 4 groups.
  2. Give one counter to each group again and again.
  3. Stop when all counters are shared.

Very beginner explanation: Equal sharing gives every group the same amount.

Answer: 3

Practice Exercise

Create one small question about Halves review. Show it with objects, a picture, or numbers, then check by counting or comparing again.

Chapter Notes, Practice, and Common Mistakes

Chapter Notes

  • Read or listen to the question before solving.
  • Use objects, a drawing, ten frame, number line, table, graph, or simple number sentence when useful.
  • Explain your thinking and check by counting, comparing, or using another simple model.

Extra Practice

  1. Create and solve one original problem about A half means one of two equal parts.
  2. Create and solve one original problem about Making halves by folding.
  3. Create and solve one original problem about Halves of shapes.
  4. Create and solve one original problem about Halves of sets.
  5. Create and solve one original problem about Sharing between two people.
  6. Create and solve one original problem about Two halves make one whole.

Common Mistakes

  • Skipping the meaning and trying to memorize a rule only.
  • Using the wrong operation because the question was not read completely.
  • Ignoring units, labels, place values, or the context of the problem.
  • Not estimating or checking whether the final answer is reasonable.
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30 Review Questions and Answers

Q1. What is the main idea in A half means one of two equal parts?

Answer: A half means one of two equal parts introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Q2. What is the main idea in Making halves by folding?

Answer: Making halves by folding introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Q3. What is the main idea in Halves of shapes?

Answer: Halves of shapes introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Q4. What is the main idea in Halves of sets?

Answer: Halves of sets introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Q5. What is the main idea in Sharing between two people?

Answer: Sharing between two people is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.

Q6. What is the main idea in Two halves make one whole?

Answer: Two halves make one whole introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Q7. What is the main idea in Recognizing equal halves?

Answer: Recognizing equal halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Q8. What is the main idea in Recognizing non-halves?

Answer: Recognizing non-halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Q9. What is the main idea in Drawing halves?

Answer: Drawing halves introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Q10. What is the main idea in Halves review?

Answer: Halves review introduces fractions through fair sharing and equal parts. Learners check that every share is the same size or has the same number of objects.

Q11. Why is it useful to use counters or drawings?

Answer: They make the quantities visible and help you understand before using only numbers.

Q12. Why should you count carefully?

Answer: Careful counting means each object is counted once and no object is missed.

Q13. What can you do if a problem feels hard?

Answer: Use smaller numbers, draw a picture, use objects, and solve one small step at a time.

Q14. Why should both sides of an equals sign match?

Answer: The equals sign means the two sides have the same value.

Q15. How can a number line help?

Answer: It shows number order and can help you count forward or backward.

Q16. How can a ten frame help?

Answer: It organizes objects into groups that make numbers and addition easier to see.

Q17. Why are equal shares important?

Answer: Equal shares make fair groups or equal parts.

Q18. How do patterns help us predict?

Answer: A pattern rule tells us what should come next.

Q19. Why do we label a graph or table?

Answer: Labels tell us what the information represents.

Q20. How can you describe a shape?

Answer: Talk about its sides, corners, flat or curved surfaces, and other visible attributes.

Q21. How can you compare two objects?

Answer: Choose one attribute, such as length, mass, or capacity, and compare that same attribute.

Q22. Why is a calendar useful?

Answer: It organizes days, weeks, months, dates, and events.

Q23. Why does money have different values?

Answer: Different coins and bills represent different amounts of money.

Q24. Why should you explain your answer?

Answer: Explaining shows how you thought about the problem and helps you check your reasoning.

Q25. What should you do after a mistake?

Answer: Look at the step again, fix it, and try a similar example.

Q26. How can you be a confident math learner?

Answer: Use positive self-talk, try a strategy, ask questions, and remember that mistakes help you learn.

Q27. When should you use a picture?

Answer: Use a picture when it helps you see quantities, shapes, positions, or a story problem.

Q28. When should you use objects?

Answer: Use objects when you want to count, join, take away, share, sort, or compare in a hands-on way.

Q29. How can you check addition?

Answer: Recount the combined objects or use another model.

Q30. How can you check subtraction?

Answer: Put the taken-away part and the part left back together to see if they make the starting amount.