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Chapter 44: Tables for Data

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 Tables for Data with simple language, step-by-step reasoning, and original worked examples. Math words are explained in simple Grade 1 language.

Key Technical Terms

  • What is a data table (a Grade 1 idea used in this chapter)
  • Making category headings (a Grade 1 idea used in this chapter)
  • Recording counts in a table (a Grade 1 idea used in this chapter)
  • Reading a table (a Grade 1 idea used in this chapter)
  • Finding the greatest count (a Grade 1 idea used in this chapter)
  • Finding the smallest count (a Grade 1 idea used in this chapter)
  • Finding equal counts (a Grade 1 idea used in this chapter)
  • Comparing two categories (a Grade 1 idea used in this chapter)
  • Answering questions from a table (a Grade 1 idea used in this chapter)
  • Table 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.

44.1 What is a data table

What is a data table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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 What is a data table 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: What is a data table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Answer: What is a data table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Worked Example 2

Problem: Show one small example of What is a data table.

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

Very beginner explanation: What is a data table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Answer: A correct small model or drawing can show the meaning of What is a data table.

Worked Example 3

Problem: Which tool could help with What is a data table?

  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: What is a data table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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 What is a data table?

  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: What is a data table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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

Worked Example 5

Problem: Where might you use What is a data table 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: What is a data table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Answer: What is a data table can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: A simple data record shows cats: 3 and dogs: 5. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: dogs

Worked Example 7

Problem: A simple data record shows red: 4 and blue: 2. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: red

Worked Example 8

Problem: A simple data record shows apples: 6 and bananas: 3. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: apples

Worked Example 9

Problem: A simple data record shows walk: 5 and bus: 4. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: walk

Worked Example 10

Problem: A simple data record shows books: 7 and games: 2. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: books

Practice Exercise

Create one small question about What is a data table. Show it with objects, a picture, or numbers, then check by counting or comparing again.

44.2 Making category headings

Making category headings helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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 category headings 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 category headings helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Answer: Making category headings helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Worked Example 2

Problem: Show one small example of Making category headings.

  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 category headings helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Answer: A correct small model or drawing can show the meaning of Making category headings.

Worked Example 3

Problem: Which tool could help with Making category headings?

  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 category headings helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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 category headings?

  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 category headings helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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

Worked Example 5

Problem: Where might you use Making category headings 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 category headings helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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

Worked Example 6

Problem: A simple data record shows cats: 3 and dogs: 5. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: dogs

Worked Example 7

Problem: A simple data record shows red: 4 and blue: 2. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: red

Worked Example 8

Problem: A simple data record shows apples: 6 and bananas: 3. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: apples

Worked Example 9

Problem: A simple data record shows walk: 5 and bus: 4. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: walk

Worked Example 10

Problem: A simple data record shows books: 7 and games: 2. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: books

Practice Exercise

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

44.3 Recording counts in a table

Recording counts in a table 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 Recording counts in a table 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: Recording counts in a table helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: Recording counts in a table 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 Recording counts in a table.

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

Very beginner explanation: Recording counts in a table 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 Recording counts in a table.

Worked Example 3

Problem: Which tool could help with Recording counts in a table?

  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: Recording counts in a table 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 Recording counts in a table?

  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: Recording counts in a table 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 Recording counts in a table 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: Recording counts in a table helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: Recording counts in a table 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 Recording counts in a table. Show it with objects, a picture, or numbers, then check by counting or comparing again.

44.4 Reading a table

Reading a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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 Reading a table 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: Reading a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Answer: Reading a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Worked Example 2

Problem: Show one small example of Reading a table.

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

Very beginner explanation: Reading a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Answer: A correct small model or drawing can show the meaning of Reading a table.

Worked Example 3

Problem: Which tool could help with Reading a table?

  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: Reading a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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 Reading a table?

  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: Reading a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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

Worked Example 5

Problem: Where might you use Reading a table 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: Reading a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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

Worked Example 6

Problem: A simple data record shows cats: 3 and dogs: 5. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: dogs

Worked Example 7

Problem: A simple data record shows red: 4 and blue: 2. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: red

Worked Example 8

Problem: A simple data record shows apples: 6 and bananas: 3. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: apples

Worked Example 9

Problem: A simple data record shows walk: 5 and bus: 4. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: walk

Worked Example 10

Problem: A simple data record shows books: 7 and games: 2. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: books

Practice Exercise

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

44.5 Finding the greatest count

Finding the greatest count 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 Finding the greatest count 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 the greatest count helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: Finding the greatest count 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 Finding the greatest count.

  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 the greatest count 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 Finding the greatest count.

Worked Example 3

Problem: Which tool could help with Finding the greatest count?

  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 the greatest count 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 Finding the greatest count?

  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 the greatest count 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 Finding the greatest count 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 the greatest count helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: Finding the greatest count 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 Finding the greatest count. Show it with objects, a picture, or numbers, then check by counting or comparing again.

44.6 Finding the smallest count

Finding the smallest count 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 Finding the smallest count 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 the smallest count helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: Finding the smallest count 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 Finding the smallest count.

  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 the smallest count 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 Finding the smallest count.

Worked Example 3

Problem: Which tool could help with Finding the smallest count?

  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 the smallest count 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 Finding the smallest count?

  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 the smallest count 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 Finding the smallest count 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 the smallest count helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: Finding the smallest count 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 Finding the smallest count. Show it with objects, a picture, or numbers, then check by counting or comparing again.

44.7 Finding equal counts

Finding equal counts 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 Finding equal counts 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 equal counts helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: Finding equal counts 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 Finding equal counts.

  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 equal counts 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 Finding equal counts.

Worked Example 3

Problem: Which tool could help with Finding equal counts?

  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 equal counts 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 Finding equal counts?

  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 equal counts 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 Finding equal counts 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 equal counts helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Answer: Finding equal counts 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 Finding equal counts. Show it with objects, a picture, or numbers, then check by counting or comparing again.

44.8 Comparing two categories

Comparing two categories 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 Comparing two categories 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: Comparing two categories is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.

Answer: Comparing two categories 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 Comparing two categories.

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

Very beginner explanation: Comparing two categories 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 Comparing two categories.

Worked Example 3

Problem: Which tool could help with Comparing two categories?

  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: Comparing two categories 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 Comparing two categories?

  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: Comparing two categories 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 Comparing two categories 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: Comparing two categories is a Grade 1 mathematics idea. Learn it with objects or pictures first, then explain it with numbers or words.

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

Worked Example 6

Problem: Show Comparing two categories 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 Comparing two categories best through concrete examples and clear words.

Answer: A correct simple example of Comparing two categories.

Worked Example 7

Problem: Show Comparing two categories 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 Comparing two categories best through concrete examples and clear words.

Answer: A correct simple example of Comparing two categories.

Worked Example 8

Problem: Show Comparing two categories 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 Comparing two categories best through concrete examples and clear words.

Answer: A correct simple example of Comparing two categories.

Worked Example 9

Problem: Show Comparing two categories 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 Comparing two categories best through concrete examples and clear words.

Answer: A correct simple example of Comparing two categories.

Worked Example 10

Problem: Show Comparing two categories 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 Comparing two categories best through concrete examples and clear words.

Answer: A correct simple example of Comparing two categories.

Practice Exercise

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

44.9 Answering questions from a table

Answering questions from a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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 Answering questions from a table 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: Answering questions from a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Answer: Answering questions from a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Worked Example 2

Problem: Show one small example of Answering questions from a table.

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

Very beginner explanation: Answering questions from a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Answer: A correct small model or drawing can show the meaning of Answering questions from a table.

Worked Example 3

Problem: Which tool could help with Answering questions from a table?

  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: Answering questions from a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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 Answering questions from a table?

  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: Answering questions from a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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

Worked Example 5

Problem: Where might you use Answering questions from a table 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: Answering questions from a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Answer: Answering questions from a table can help with a simple everyday task such as counting, sharing, comparing, measuring, organizing, or deciding.

Worked Example 6

Problem: A simple data record shows cats: 3 and dogs: 5. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: dogs

Worked Example 7

Problem: A simple data record shows red: 4 and blue: 2. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: red

Worked Example 8

Problem: A simple data record shows apples: 6 and bananas: 3. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: apples

Worked Example 9

Problem: A simple data record shows walk: 5 and bus: 4. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: walk

Worked Example 10

Problem: A simple data record shows books: 7 and games: 2. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: books

Practice Exercise

Create one small question about Answering questions from a table. Show it with objects, a picture, or numbers, then check by counting or comparing again.

44.10 Table review

Table review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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 Table 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: Table review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Answer: Table review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Worked Example 2

Problem: Show one small example of Table 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: Table review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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

Worked Example 3

Problem: Which tool could help with Table 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: Table review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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 Table 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: Table review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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

Worked Example 5

Problem: Where might you use Table 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: Table review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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

Worked Example 6

Problem: A simple data record shows cats: 3 and dogs: 5. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: dogs

Worked Example 7

Problem: A simple data record shows red: 4 and blue: 2. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: red

Worked Example 8

Problem: A simple data record shows apples: 6 and bananas: 3. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: apples

Worked Example 9

Problem: A simple data record shows walk: 5 and bus: 4. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: walk

Worked Example 10

Problem: A simple data record shows books: 7 and games: 2. Which category has more?

  1. Read both category counts.
  2. Compare the two numbers.

Very beginner explanation: The category with the larger count has more responses.

Answer: books

Practice Exercise

Create one small question about Table 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 What is a data table.
  2. Create and solve one original problem about Making category headings.
  3. Create and solve one original problem about Recording counts in a table.
  4. Create and solve one original problem about Reading a table.
  5. Create and solve one original problem about Finding the greatest count.
  6. Create and solve one original problem about Finding the smallest count.

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 What is a data table?

Answer: What is a data table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Q2. What is the main idea in Making category headings?

Answer: Making category headings helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Q3. What is the main idea in Recording counts in a table?

Answer: Recording counts in a table helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Q4. What is the main idea in Reading a table?

Answer: Reading a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Q5. What is the main idea in Finding the greatest count?

Answer: Finding the greatest count helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Q6. What is the main idea in Finding the smallest count?

Answer: Finding the smallest count helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Q7. What is the main idea in Finding equal counts?

Answer: Finding equal counts helps Grade 1 learners build strong number sense with small numbers, objects, drawings, and number lines.

Q8. What is the main idea in Comparing two categories?

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

Q9. What is the main idea in Answering questions from a table?

Answer: Answering questions from a table helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

Q10. What is the main idea in Table review?

Answer: Table review helps learners collect, sort, show, and talk about information so they can answer simple questions with evidence.

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.