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Chapter 41: Data Questions and Categories

Learn Grade 2 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.

Grade 2Very Beginner Friendly10 Examples Per Topic30 Q&APractice + Review
Estimated reading time0% read
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Chapter Overview

This chapter teaches Data Questions and Categories with simple explanations, visual thinking, worked examples, practice, and review.

41.1 What is data

Data are collected to answer questions. Tables and graphs help organize and compare results. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Four categories have counts [6, 3, 10, 6]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 2

Problem: Four categories have counts [5, 9, 2, 5]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

Worked Example 3

Problem: Four categories have counts [10, 7, 10, 9]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 4

Problem: Four categories have counts [4, 4, 2, 6]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 6

Worked Example 5

Problem: Four categories have counts [8, 1, 10, 3]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 6

Problem: Four categories have counts [6, 9, 10, 10]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 7

Problem: Four categories have counts [10, 4, 5, 3]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 8

Problem: Four categories have counts [6, 7, 5, 6]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 7

Worked Example 9

Problem: Four categories have counts [9, 6, 10, 8]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 10

Problem: Four categories have counts [4, 9, 4, 7]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

41.2 Questions of interest

Questions of interest is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 14 and 10 to make a simple example about Questions of interest.

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

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

Answer: A correct Grade 2 example of Questions of interest.

Worked Example 2

Problem: Use 3 and 9 to make a simple example about Questions of interest.

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

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

Answer: A correct Grade 2 example of Questions of interest.

Worked Example 3

Problem: Use 2 and 12 to make a simple example about Questions of interest.

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

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

Answer: A correct Grade 2 example of Questions of interest.

Worked Example 4

Problem: Use 15 and 18 to make a simple example about Questions of interest.

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

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

Answer: A correct Grade 2 example of Questions of interest.

Worked Example 5

Problem: Use 20 and 20 to make a simple example about Questions of interest.

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

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

Answer: A correct Grade 2 example of Questions of interest.

Worked Example 6

Problem: Use 11 and 10 to make a simple example about Questions of interest.

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

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

Answer: A correct Grade 2 example of Questions of interest.

Worked Example 7

Problem: Use 3 and 13 to make a simple example about Questions of interest.

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

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

Answer: A correct Grade 2 example of Questions of interest.

Worked Example 8

Problem: Use 4 and 10 to make a simple example about Questions of interest.

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

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

Answer: A correct Grade 2 example of Questions of interest.

Worked Example 9

Problem: Use 4 and 13 to make a simple example about Questions of interest.

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

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

Answer: A correct Grade 2 example of Questions of interest.

Worked Example 10

Problem: Use 1 and 11 to make a simple example about Questions of interest.

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

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

Answer: A correct Grade 2 example of Questions of interest.

41.3 Choosing categories

Choosing categories is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 2 and 2 to make a simple example about Choosing categories.

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

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

Answer: A correct Grade 2 example of Choosing categories.

Worked Example 2

Problem: Use 18 and 13 to make a simple example about Choosing categories.

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

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

Answer: A correct Grade 2 example of Choosing categories.

Worked Example 3

Problem: Use 9 and 7 to make a simple example about Choosing categories.

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

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

Answer: A correct Grade 2 example of Choosing categories.

Worked Example 4

Problem: Use 7 and 8 to make a simple example about Choosing categories.

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

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

Answer: A correct Grade 2 example of Choosing categories.

Worked Example 5

Problem: Use 2 and 13 to make a simple example about Choosing categories.

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

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

Answer: A correct Grade 2 example of Choosing categories.

Worked Example 6

Problem: Use 8 and 1 to make a simple example about Choosing categories.

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

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

Answer: A correct Grade 2 example of Choosing categories.

Worked Example 7

Problem: Use 19 and 11 to make a simple example about Choosing categories.

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

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

Answer: A correct Grade 2 example of Choosing categories.

Worked Example 8

Problem: Use 20 and 14 to make a simple example about Choosing categories.

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

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

Answer: A correct Grade 2 example of Choosing categories.

Worked Example 9

Problem: Use 6 and 6 to make a simple example about Choosing categories.

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

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

Answer: A correct Grade 2 example of Choosing categories.

Worked Example 10

Problem: Use 19 and 7 to make a simple example about Choosing categories.

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

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

Answer: A correct Grade 2 example of Choosing categories.

41.4 Categories that do not overlap

Categories that do not overlap is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 10 and 18 to make a simple example about Categories that do not overlap.

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

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

Answer: A correct Grade 2 example of Categories that do not overlap.

Worked Example 2

Problem: Use 5 and 20 to make a simple example about Categories that do not overlap.

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

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

Answer: A correct Grade 2 example of Categories that do not overlap.

Worked Example 3

Problem: Use 18 and 17 to make a simple example about Categories that do not overlap.

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

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

Answer: A correct Grade 2 example of Categories that do not overlap.

Worked Example 4

Problem: Use 7 and 20 to make a simple example about Categories that do not overlap.

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

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

Answer: A correct Grade 2 example of Categories that do not overlap.

Worked Example 5

Problem: Use 16 and 10 to make a simple example about Categories that do not overlap.

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

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

Answer: A correct Grade 2 example of Categories that do not overlap.

Worked Example 6

Problem: Use 1 and 20 to make a simple example about Categories that do not overlap.

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

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

Answer: A correct Grade 2 example of Categories that do not overlap.

Worked Example 7

Problem: Use 20 and 18 to make a simple example about Categories that do not overlap.

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

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

Answer: A correct Grade 2 example of Categories that do not overlap.

Worked Example 8

Problem: Use 12 and 10 to make a simple example about Categories that do not overlap.

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

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

Answer: A correct Grade 2 example of Categories that do not overlap.

Worked Example 9

Problem: Use 17 and 3 to make a simple example about Categories that do not overlap.

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

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

Answer: A correct Grade 2 example of Categories that do not overlap.

Worked Example 10

Problem: Use 1 and 19 to make a simple example about Categories that do not overlap.

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

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

Answer: A correct Grade 2 example of Categories that do not overlap.

41.5 Recording answers

Recording answers is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 11 and 19 to make a simple example about Recording answers.

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

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

Answer: A correct Grade 2 example of Recording answers.

Worked Example 2

Problem: Use 11 and 3 to make a simple example about Recording answers.

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

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

Answer: A correct Grade 2 example of Recording answers.

Worked Example 3

Problem: Use 14 and 6 to make a simple example about Recording answers.

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

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

Answer: A correct Grade 2 example of Recording answers.

Worked Example 4

Problem: Use 14 and 9 to make a simple example about Recording answers.

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

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

Answer: A correct Grade 2 example of Recording answers.

Worked Example 5

Problem: Use 3 and 19 to make a simple example about Recording answers.

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

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

Answer: A correct Grade 2 example of Recording answers.

Worked Example 6

Problem: Use 14 and 2 to make a simple example about Recording answers.

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

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

Answer: A correct Grade 2 example of Recording answers.

Worked Example 7

Problem: Use 4 and 10 to make a simple example about Recording answers.

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

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

Answer: A correct Grade 2 example of Recording answers.

Worked Example 8

Problem: Use 7 and 11 to make a simple example about Recording answers.

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

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

Answer: A correct Grade 2 example of Recording answers.

Worked Example 9

Problem: Use 11 and 18 to make a simple example about Recording answers.

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

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

Answer: A correct Grade 2 example of Recording answers.

Worked Example 10

Problem: Use 20 and 6 to make a simple example about Recording answers.

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

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

Answer: A correct Grade 2 example of Recording answers.

41.6 Counting category totals

Counting patterns organize numbers and help with addition, subtraction, and number relationships. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 36, 38, 40, ...

  1. The rule is add 2.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 42, 44

Worked Example 2

Problem: Continue 17, 18, 19, ...

  1. The rule is add 1.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 20, 21

Worked Example 3

Problem: Continue 16, 26, 36, ...

  1. The rule is add 10.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 46, 56

Worked Example 4

Problem: Continue 10, 12, 14, ...

  1. The rule is add 2.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 16, 18

Worked Example 5

Problem: Continue 19, 21, 23, ...

  1. The rule is add 2.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 25, 27

Worked Example 6

Problem: Continue 7, 9, 11, ...

  1. The rule is add 2.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 13, 15

Worked Example 7

Problem: Continue 40, 41, 42, ...

  1. The rule is add 1.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 43, 44

Worked Example 8

Problem: Continue 5, 7, 9, ...

  1. The rule is add 2.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 11, 13

Worked Example 9

Problem: Continue 33, 35, 37, ...

  1. The rule is add 2.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 39, 41

Worked Example 10

Problem: Continue 16, 17, 18, ...

  1. The rule is add 1.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 19, 20

41.7 Sorting objects by one attribute

Sorting objects by one attribute is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 19 and 19 to make a simple example about Sorting objects by one attribute.

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

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

Answer: A correct Grade 2 example of Sorting objects by one attribute.

Worked Example 2

Problem: Use 7 and 18 to make a simple example about Sorting objects by one attribute.

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

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

Answer: A correct Grade 2 example of Sorting objects by one attribute.

Worked Example 3

Problem: Use 6 and 1 to make a simple example about Sorting objects by one attribute.

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

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

Answer: A correct Grade 2 example of Sorting objects by one attribute.

Worked Example 4

Problem: Use 2 and 18 to make a simple example about Sorting objects by one attribute.

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

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

Answer: A correct Grade 2 example of Sorting objects by one attribute.

Worked Example 5

Problem: Use 5 and 11 to make a simple example about Sorting objects by one attribute.

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

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

Answer: A correct Grade 2 example of Sorting objects by one attribute.

Worked Example 6

Problem: Use 2 and 17 to make a simple example about Sorting objects by one attribute.

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

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

Answer: A correct Grade 2 example of Sorting objects by one attribute.

Worked Example 7

Problem: Use 1 and 17 to make a simple example about Sorting objects by one attribute.

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

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

Answer: A correct Grade 2 example of Sorting objects by one attribute.

Worked Example 8

Problem: Use 11 and 20 to make a simple example about Sorting objects by one attribute.

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

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

Answer: A correct Grade 2 example of Sorting objects by one attribute.

Worked Example 9

Problem: Use 12 and 15 to make a simple example about Sorting objects by one attribute.

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

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

Answer: A correct Grade 2 example of Sorting objects by one attribute.

Worked Example 10

Problem: Use 6 and 10 to make a simple example about Sorting objects by one attribute.

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

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

Answer: A correct Grade 2 example of Sorting objects by one attribute.

41.8 Sorting objects by two attributes

Sorting objects by two attributes is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 5 and 19 to make a simple example about Sorting objects by two attributes.

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

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

Answer: A correct Grade 2 example of Sorting objects by two attributes.

Worked Example 2

Problem: Use 3 and 9 to make a simple example about Sorting objects by two attributes.

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

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

Answer: A correct Grade 2 example of Sorting objects by two attributes.

Worked Example 3

Problem: Use 19 and 18 to make a simple example about Sorting objects by two attributes.

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

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

Answer: A correct Grade 2 example of Sorting objects by two attributes.

Worked Example 4

Problem: Use 19 and 5 to make a simple example about Sorting objects by two attributes.

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

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

Answer: A correct Grade 2 example of Sorting objects by two attributes.

Worked Example 5

Problem: Use 7 and 3 to make a simple example about Sorting objects by two attributes.

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

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

Answer: A correct Grade 2 example of Sorting objects by two attributes.

Worked Example 6

Problem: Use 7 and 18 to make a simple example about Sorting objects by two attributes.

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

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

Answer: A correct Grade 2 example of Sorting objects by two attributes.

Worked Example 7

Problem: Use 3 and 14 to make a simple example about Sorting objects by two attributes.

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

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

Answer: A correct Grade 2 example of Sorting objects by two attributes.

Worked Example 8

Problem: Use 7 and 18 to make a simple example about Sorting objects by two attributes.

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

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

Answer: A correct Grade 2 example of Sorting objects by two attributes.

Worked Example 9

Problem: Use 18 and 10 to make a simple example about Sorting objects by two attributes.

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

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

Answer: A correct Grade 2 example of Sorting objects by two attributes.

Worked Example 10

Problem: Use 9 and 9 to make a simple example about Sorting objects by two attributes.

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

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

Answer: A correct Grade 2 example of Sorting objects by two attributes.

41.9 Making a simple data plan

Data are collected to answer questions. Tables and graphs help organize and compare results. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Four categories have counts [10, 10, 2, 9]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 2

Problem: Four categories have counts [9, 8, 8, 6]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

Worked Example 3

Problem: Four categories have counts [3, 2, 8, 10]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 4

Problem: Four categories have counts [1, 4, 7, 8]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 8

Worked Example 5

Problem: Four categories have counts [6, 4, 8, 9]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

Worked Example 6

Problem: Four categories have counts [5, 10, 7, 10]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 7

Problem: Four categories have counts [2, 10, 4, 8]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 8

Problem: Four categories have counts [8, 1, 7, 2]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 8

Worked Example 9

Problem: Four categories have counts [3, 10, 4, 9]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 10

Problem: Four categories have counts [6, 9, 9, 1]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

41.10 Checking categories

Checking categories is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 12 and 19 to make a simple example about Checking categories.

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

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

Answer: A correct Grade 2 example of Checking categories.

Worked Example 2

Problem: Use 12 and 10 to make a simple example about Checking categories.

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

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

Answer: A correct Grade 2 example of Checking categories.

Worked Example 3

Problem: Use 10 and 2 to make a simple example about Checking categories.

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

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

Answer: A correct Grade 2 example of Checking categories.

Worked Example 4

Problem: Use 8 and 3 to make a simple example about Checking categories.

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

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

Answer: A correct Grade 2 example of Checking categories.

Worked Example 5

Problem: Use 12 and 6 to make a simple example about Checking categories.

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

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

Answer: A correct Grade 2 example of Checking categories.

Worked Example 6

Problem: Use 1 and 4 to make a simple example about Checking categories.

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

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

Answer: A correct Grade 2 example of Checking categories.

Worked Example 7

Problem: Use 1 and 4 to make a simple example about Checking categories.

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

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

Answer: A correct Grade 2 example of Checking categories.

Worked Example 8

Problem: Use 15 and 6 to make a simple example about Checking categories.

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

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

Answer: A correct Grade 2 example of Checking categories.

Worked Example 9

Problem: Use 17 and 2 to make a simple example about Checking categories.

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

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

Answer: A correct Grade 2 example of Checking categories.

Worked Example 10

Problem: Use 20 and 10 to make a simple example about Checking categories.

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

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

Answer: A correct Grade 2 example of Checking categories.

41.11 Using data to answer a question

Data are collected to answer questions. Tables and graphs help organize and compare results. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Four categories have counts [10, 2, 5, 2]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 2

Problem: Four categories have counts [4, 8, 2, 4]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 8

Worked Example 3

Problem: Four categories have counts [7, 9, 6, 5]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

Worked Example 4

Problem: Four categories have counts [4, 7, 1, 4]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 7

Worked Example 5

Problem: Four categories have counts [5, 10, 6, 8]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 6

Problem: Four categories have counts [9, 6, 7, 1]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

Worked Example 7

Problem: Four categories have counts [4, 9, 2, 10]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 8

Problem: Four categories have counts [9, 5, 5, 6]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

Worked Example 9

Problem: Four categories have counts [8, 10, 1, 7]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 10

Problem: Four categories have counts [2, 6, 4, 1]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 6

41.12 Respectful data collection

Data are collected to answer questions. Tables and graphs help organize and compare results. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Four categories have counts [3, 8, 9, 5]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

Worked Example 2

Problem: Four categories have counts [1, 10, 6, 5]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 3

Problem: Four categories have counts [2, 9, 10, 4]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 4

Problem: Four categories have counts [1, 7, 9, 5]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

Worked Example 5

Problem: Four categories have counts [10, 9, 3, 9]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 10

Worked Example 6

Problem: Four categories have counts [2, 9, 2, 1]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

Worked Example 7

Problem: Four categories have counts [9, 7, 4, 8]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

Worked Example 8

Problem: Four categories have counts [8, 5, 6, 5]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 8

Worked Example 9

Problem: Four categories have counts [1, 7, 3, 3]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 7

Worked Example 10

Problem: Four categories have counts [8, 9, 9, 9]. What is the greatest count?

  1. Read all counts.
  2. Choose the largest.

Very beginner explanation: Data displays help compare categories.

Answer: 9

30 Review Questions and Answers

Q1. What should a Grade 2 learner understand about What is data?

Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.

Q2. What should a Grade 2 learner understand about Questions of interest?

Answer: Questions of interest is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q3. What should a Grade 2 learner understand about Choosing categories?

Answer: Choosing categories is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q4. What should a Grade 2 learner understand about Categories that do not overlap?

Answer: Categories that do not overlap is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q5. What should a Grade 2 learner understand about Recording answers?

Answer: Recording answers is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q6. What should a Grade 2 learner understand about Counting category totals?

Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.

Q7. What should a Grade 2 learner understand about Sorting objects by one attribute?

Answer: Sorting objects by one attribute is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q8. What should a Grade 2 learner understand about Sorting objects by two attributes?

Answer: Sorting objects by two attributes is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q9. What should a Grade 2 learner understand about Making a simple data plan?

Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.

Q10. What should a Grade 2 learner understand about Checking categories?

Answer: Checking categories is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q11. What should a Grade 2 learner understand about Using data to answer a question?

Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.

Q12. What should a Grade 2 learner understand about Respectful data collection?

Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.

Q13. What should a Grade 2 learner understand about What is data?

Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.

Q14. What should a Grade 2 learner understand about Questions of interest?

Answer: Questions of interest is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q15. What should a Grade 2 learner understand about Choosing categories?

Answer: Choosing categories is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q16. What should a Grade 2 learner understand about Categories that do not overlap?

Answer: Categories that do not overlap is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q17. What should a Grade 2 learner understand about Recording answers?

Answer: Recording answers is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q18. What should a Grade 2 learner understand about Counting category totals?

Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.

Q19. What should a Grade 2 learner understand about Sorting objects by one attribute?

Answer: Sorting objects by one attribute is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q20. What should a Grade 2 learner understand about Sorting objects by two attributes?

Answer: Sorting objects by two attributes is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q21. What should a Grade 2 learner understand about Making a simple data plan?

Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.

Q22. What should a Grade 2 learner understand about Checking categories?

Answer: Checking categories is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q23. What should a Grade 2 learner understand about Using data to answer a question?

Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.

Q24. What should a Grade 2 learner understand about Respectful data collection?

Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.

Q25. What should a Grade 2 learner understand about What is data?

Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.

Q26. What should a Grade 2 learner understand about Questions of interest?

Answer: Questions of interest is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q27. What should a Grade 2 learner understand about Choosing categories?

Answer: Choosing categories is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q28. What should a Grade 2 learner understand about Categories that do not overlap?

Answer: Categories that do not overlap is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q29. What should a Grade 2 learner understand about Recording answers?

Answer: Recording answers is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q30. What should a Grade 2 learner understand about Counting category totals?

Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.