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Chapter 22: Introduction to Subtraction

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 Introduction to Subtraction with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.

Key Technical Terms

  • Subtraction means taking away (a Grade 1 idea used in this chapter)
  • Subtraction means finding what is left (a Grade 1 idea used in this chapter)
  • Using the minus sign (a Grade 1 idea used in this chapter)
  • Writing subtraction sentences (a Grade 1 idea used in this chapter)
  • Subtracting with counters (a Grade 1 idea used in this chapter)
  • Subtracting with drawings (a Grade 1 idea used in this chapter)
  • Subtracting by counting back (a Grade 1 idea used in this chapter)
  • Finding a difference (a Grade 1 idea used in this chapter)
  • Subtraction stories (a Grade 1 idea used in this chapter)
  • Checking a subtraction model (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.

22.1 Subtraction means taking away

Subtraction means taking away teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Subtraction means taking away 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: Subtraction means taking away teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: Subtraction means taking away teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Worked Example 2

Problem: Show one small example of Subtraction means taking away.

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

Very beginner explanation: Subtraction means taking away teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: A correct small model or drawing can show the meaning of Subtraction means taking away.

Worked Example 3

Problem: Which tool could help with Subtraction means taking away?

  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: Subtraction means taking away teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Subtraction means taking away?

  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: Subtraction means taking away teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 5

Problem: Where might you use Subtraction means taking away 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: Subtraction means taking away teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: Subtraction means taking away can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Find 5 - 2.

  1. Start with 5 objects.
  2. Take away 2.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 3

Worked Example 7

Problem: Find 7 - 3.

  1. Start with 7 objects.
  2. Take away 3.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 8

Problem: Find 9 - 4.

  1. Start with 9 objects.
  2. Take away 4.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 5

Worked Example 9

Problem: Find 10 - 6.

  1. Start with 10 objects.
  2. Take away 6.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 10

Problem: Find 14 - 5.

  1. Start with 14 objects.
  2. Take away 5.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 9

Practice Exercise

Create one small question about Subtraction means taking away. Show it with objects, a picture, or numbers, then check by counting or comparing again.

22.2 Subtraction means finding what is left

Subtraction means finding what is left teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Subtraction means finding what is left 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: Subtraction means finding what is left teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: Subtraction means finding what is left teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Worked Example 2

Problem: Show one small example of Subtraction means finding what is left.

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

Very beginner explanation: Subtraction means finding what is left teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: A correct small model or drawing can show the meaning of Subtraction means finding what is left.

Worked Example 3

Problem: Which tool could help with Subtraction means finding what is left?

  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: Subtraction means finding what is left teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Subtraction means finding what is left?

  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: Subtraction means finding what is left teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 5

Problem: Where might you use Subtraction means finding what is left 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: Subtraction means finding what is left teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: Subtraction means finding what is left can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Find 5 - 2.

  1. Start with 5 objects.
  2. Take away 2.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 3

Worked Example 7

Problem: Find 7 - 3.

  1. Start with 7 objects.
  2. Take away 3.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 8

Problem: Find 9 - 4.

  1. Start with 9 objects.
  2. Take away 4.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 5

Worked Example 9

Problem: Find 10 - 6.

  1. Start with 10 objects.
  2. Take away 6.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 10

Problem: Find 14 - 5.

  1. Start with 14 objects.
  2. Take away 5.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 9

Practice Exercise

Create one small question about Subtraction means finding what is left. Show it with objects, a picture, or numbers, then check by counting or comparing again.

22.3 Using the minus sign

Using the minus sign teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Using the minus sign 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: Using the minus sign teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: Using the minus sign teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Worked Example 2

Problem: Show one small example of Using the minus sign.

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

Very beginner explanation: Using the minus sign teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: A correct small model or drawing can show the meaning of Using the minus sign.

Worked Example 3

Problem: Which tool could help with Using the minus sign?

  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: Using the minus sign teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Using the minus sign?

  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: Using the minus sign teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 5

Problem: Where might you use Using the minus sign 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: Using the minus sign teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: Using the minus sign can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: Find 5 - 2.

  1. Start with 5 objects.
  2. Take away 2.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 3

Worked Example 7

Problem: Find 7 - 3.

  1. Start with 7 objects.
  2. Take away 3.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 8

Problem: Find 9 - 4.

  1. Start with 9 objects.
  2. Take away 4.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 5

Worked Example 9

Problem: Find 10 - 6.

  1. Start with 10 objects.
  2. Take away 6.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 10

Problem: Find 14 - 5.

  1. Start with 14 objects.
  2. Take away 5.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 9

Practice Exercise

Create one small question about Using the minus sign. Show it with objects, a picture, or numbers, then check by counting or comparing again.

22.4 Writing subtraction sentences

Writing subtraction sentences teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Writing subtraction sentences 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: Writing subtraction sentences teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: Writing subtraction sentences teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Worked Example 2

Problem: Show one small example of Writing subtraction sentences.

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

Very beginner explanation: Writing subtraction sentences teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: A correct small model or drawing can show the meaning of Writing subtraction sentences.

Worked Example 3

Problem: Which tool could help with Writing subtraction sentences?

  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: Writing subtraction sentences teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Writing subtraction sentences?

  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: Writing subtraction sentences teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 5

Problem: Where might you use Writing subtraction sentences 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: Writing subtraction sentences teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 6

Problem: Find 5 - 2.

  1. Start with 5 objects.
  2. Take away 2.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 3

Worked Example 7

Problem: Find 7 - 3.

  1. Start with 7 objects.
  2. Take away 3.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 8

Problem: Find 9 - 4.

  1. Start with 9 objects.
  2. Take away 4.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 5

Worked Example 9

Problem: Find 10 - 6.

  1. Start with 10 objects.
  2. Take away 6.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 10

Problem: Find 14 - 5.

  1. Start with 14 objects.
  2. Take away 5.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 9

Practice Exercise

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

22.5 Subtracting with counters

Subtracting with counters helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

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 Subtracting with counters 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: Subtracting with counters helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: Subtracting with counters helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Worked Example 2

Problem: Show one small example of Subtracting with counters.

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

Very beginner explanation: Subtracting with counters helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: A correct small model or drawing can show the meaning of Subtracting with counters.

Worked Example 3

Problem: Which tool could help with Subtracting with counters?

  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: Subtracting with counters helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

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 Subtracting with counters?

  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: Subtracting with counters helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

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

Worked Example 5

Problem: Where might you use Subtracting with counters 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: Subtracting with counters helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

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

Worked Example 6

Problem: Count to 6. What number comes just before 6?

  1. Count forward until 6.
  2. Move back one number.

Very beginner explanation: The number before is one less.

Answer: 5

Worked Example 7

Problem: Count to 12. What number comes just before 12?

  1. Count forward until 12.
  2. Move back one number.

Very beginner explanation: The number before is one less.

Answer: 11

Worked Example 8

Problem: Count to 19. What number comes just before 19?

  1. Count forward until 19.
  2. Move back one number.

Very beginner explanation: The number before is one less.

Answer: 18

Worked Example 9

Problem: Count to 27. What number comes just before 27?

  1. Count forward until 27.
  2. Move back one number.

Very beginner explanation: The number before is one less.

Answer: 26

Worked Example 10

Problem: Count to 44. What number comes just before 44?

  1. Count forward until 44.
  2. Move back one number.

Very beginner explanation: The number before is one less.

Answer: 43

Practice Exercise

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

22.6 Subtracting with drawings

Subtracting with drawings teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Subtracting with drawings 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: Subtracting with drawings teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: Subtracting with drawings teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Worked Example 2

Problem: Show one small example of Subtracting with drawings.

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

Very beginner explanation: Subtracting with drawings teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: A correct small model or drawing can show the meaning of Subtracting with drawings.

Worked Example 3

Problem: Which tool could help with Subtracting with drawings?

  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: Subtracting with drawings teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Subtracting with drawings?

  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: Subtracting with drawings teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 5

Problem: Where might you use Subtracting with drawings 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: Subtracting with drawings teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 6

Problem: Find 5 - 2.

  1. Start with 5 objects.
  2. Take away 2.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 3

Worked Example 7

Problem: Find 7 - 3.

  1. Start with 7 objects.
  2. Take away 3.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 8

Problem: Find 9 - 4.

  1. Start with 9 objects.
  2. Take away 4.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 5

Worked Example 9

Problem: Find 10 - 6.

  1. Start with 10 objects.
  2. Take away 6.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 10

Problem: Find 14 - 5.

  1. Start with 14 objects.
  2. Take away 5.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 9

Practice Exercise

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

22.7 Subtracting by counting back

Subtracting by counting back helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

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 Subtracting by counting back 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: Subtracting by counting back helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: Subtracting by counting back helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Worked Example 2

Problem: Show one small example of Subtracting by counting back.

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

Very beginner explanation: Subtracting by counting back helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: A correct small model or drawing can show the meaning of Subtracting by counting back.

Worked Example 3

Problem: Which tool could help with Subtracting by counting back?

  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: Subtracting by counting back helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

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 Subtracting by counting back?

  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: Subtracting by counting back helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

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

Worked Example 5

Problem: Where might you use Subtracting by counting back 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: Subtracting by counting back helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

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

Worked Example 6

Problem: Count to 6. What number comes just before 6?

  1. Count forward until 6.
  2. Move back one number.

Very beginner explanation: The number before is one less.

Answer: 5

Worked Example 7

Problem: Count to 12. What number comes just before 12?

  1. Count forward until 12.
  2. Move back one number.

Very beginner explanation: The number before is one less.

Answer: 11

Worked Example 8

Problem: Count to 19. What number comes just before 19?

  1. Count forward until 19.
  2. Move back one number.

Very beginner explanation: The number before is one less.

Answer: 18

Worked Example 9

Problem: Count to 27. What number comes just before 27?

  1. Count forward until 27.
  2. Move back one number.

Very beginner explanation: The number before is one less.

Answer: 26

Worked Example 10

Problem: Count to 44. What number comes just before 44?

  1. Count forward until 44.
  2. Move back one number.

Very beginner explanation: The number before is one less.

Answer: 43

Practice Exercise

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

22.8 Finding a difference

Finding a difference teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Finding a difference 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: Finding a difference teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: Finding a difference teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Worked Example 2

Problem: Show one small example of Finding a difference.

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

Very beginner explanation: Finding a difference teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: A correct small model or drawing can show the meaning of Finding a difference.

Worked Example 3

Problem: Which tool could help with Finding a difference?

  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: Finding a difference teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Finding a difference?

  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: Finding a difference teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 5

Problem: Where might you use Finding a difference 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: Finding a difference teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 6

Problem: Find 5 - 2.

  1. Start with 5 objects.
  2. Take away 2.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 3

Worked Example 7

Problem: Find 7 - 3.

  1. Start with 7 objects.
  2. Take away 3.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 8

Problem: Find 9 - 4.

  1. Start with 9 objects.
  2. Take away 4.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 5

Worked Example 9

Problem: Find 10 - 6.

  1. Start with 10 objects.
  2. Take away 6.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 10

Problem: Find 14 - 5.

  1. Start with 14 objects.
  2. Take away 5.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 9

Practice Exercise

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

22.9 Subtraction stories

Subtraction stories teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Subtraction stories 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: Subtraction stories teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: Subtraction stories teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Worked Example 2

Problem: Show one small example of Subtraction stories.

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

Very beginner explanation: Subtraction stories teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: A correct small model or drawing can show the meaning of Subtraction stories.

Worked Example 3

Problem: Which tool could help with Subtraction stories?

  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: Subtraction stories teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Subtraction stories?

  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: Subtraction stories teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 5

Problem: Where might you use Subtraction stories 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: Subtraction stories teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 6

Problem: Find 5 - 2.

  1. Start with 5 objects.
  2. Take away 2.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 3

Worked Example 7

Problem: Find 7 - 3.

  1. Start with 7 objects.
  2. Take away 3.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 8

Problem: Find 9 - 4.

  1. Start with 9 objects.
  2. Take away 4.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 5

Worked Example 9

Problem: Find 10 - 6.

  1. Start with 10 objects.
  2. Take away 6.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 10

Problem: Find 14 - 5.

  1. Start with 14 objects.
  2. Take away 5.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 9

Practice Exercise

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

22.10 Checking a subtraction model

Checking a subtraction model teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Checking a subtraction model 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: Checking a subtraction model teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: Checking a subtraction model teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Worked Example 2

Problem: Show one small example of Checking a subtraction model.

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

Very beginner explanation: Checking a subtraction model teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Answer: A correct small model or drawing can show the meaning of Checking a subtraction model.

Worked Example 3

Problem: Which tool could help with Checking a subtraction model?

  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: Checking a subtraction model teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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 Checking a subtraction model?

  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: Checking a subtraction model teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 5

Problem: Where might you use Checking a subtraction model 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: Checking a subtraction model teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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

Worked Example 6

Problem: Find 5 - 2.

  1. Start with 5 objects.
  2. Take away 2.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 3

Worked Example 7

Problem: Find 7 - 3.

  1. Start with 7 objects.
  2. Take away 3.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 8

Problem: Find 9 - 4.

  1. Start with 9 objects.
  2. Take away 4.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 5

Worked Example 9

Problem: Find 10 - 6.

  1. Start with 10 objects.
  2. Take away 6.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 4

Worked Example 10

Problem: Find 14 - 5.

  1. Start with 14 objects.
  2. Take away 5.
  3. Count what is left.

Very beginner explanation: Subtraction tells how many are left or the difference.

Answer: 9

Practice Exercise

Create one small question about Checking a subtraction model. 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 Subtraction means taking away.
  2. Create and solve one original problem about Subtraction means finding what is left.
  3. Create and solve one original problem about Using the minus sign.
  4. Create and solve one original problem about Writing subtraction sentences.
  5. Create and solve one original problem about Subtracting with counters.
  6. Create and solve one original problem about Subtracting with drawings.

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 Subtraction means taking away?

Answer: Subtraction means taking away teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Q2. What is the main idea in Subtraction means finding what is left?

Answer: Subtraction means finding what is left teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Q3. What is the main idea in Using the minus sign?

Answer: Using the minus sign teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Q4. What is the main idea in Writing subtraction sentences?

Answer: Writing subtraction sentences teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Q5. What is the main idea in Subtracting with counters?

Answer: Subtracting with counters helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Q6. What is the main idea in Subtracting with drawings?

Answer: Subtracting with drawings teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Q7. What is the main idea in Subtracting by counting back?

Answer: Subtracting by counting back helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Q8. What is the main idea in Finding a difference?

Answer: Finding a difference teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Q9. What is the main idea in Subtraction stories?

Answer: Subtraction stories teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

Q10. What is the main idea in Checking a subtraction model?

Answer: Checking a subtraction model teaches how to take away or find what is left. Learners use objects, drawings, and counting strategies to make the meaning clear.

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.