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Chapter 44: Comparing Two Data Sets

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 Comparing Two Data Sets with simple explanations, visual thinking, worked examples, practice, and review.

44.1 Two groups of 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 [2, 10, 6, 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 2

Problem: Four categories have counts [10, 9, 8, 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 3

Problem: Four categories have counts [10, 1, 8, 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 4

Problem: Four categories have counts [4, 1, 7, 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 5

Problem: Four categories have counts [7, 7, 7, 1]. 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 6

Problem: Four categories have counts [6, 6, 6, 7]. 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 7

Problem: Four categories have counts [1, 3, 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 8

Problem: Four categories have counts [1, 3, 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 9

Problem: Four categories have counts [8, 9, 7, 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 10

Problem: Four categories have counts [8, 7, 6, 6]. What is the greatest count?

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

Very beginner explanation: Data displays help compare categories.

Answer: 8

44.2 Same categories

Same 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 7 and 4 to make a simple example about Same 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 Same categories.

Worked Example 2

Problem: Use 19 and 9 to make a simple example about Same 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 Same categories.

Worked Example 3

Problem: Use 16 and 4 to make a simple example about Same 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 Same categories.

Worked Example 4

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

Worked Example 5

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

Worked Example 6

Problem: Use 16 and 18 to make a simple example about Same 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 Same categories.

Worked Example 7

Problem: Use 19 and 5 to make a simple example about Same 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 Same categories.

Worked Example 8

Problem: Use 7 and 16 to make a simple example about Same 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 Same categories.

Worked Example 9

Problem: Use 6 and 16 to make a simple example about Same 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 Same categories.

Worked Example 10

Problem: Use 9 and 12 to make a simple example about Same 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 Same categories.

44.3 Comparing totals

Comparing totals 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 16 and 13 to make a simple example about Comparing totals.

  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 Comparing totals.

Worked Example 2

Problem: Use 18 and 3 to make a simple example about Comparing totals.

  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 Comparing totals.

Worked Example 3

Problem: Use 11 and 3 to make a simple example about Comparing totals.

  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 Comparing totals.

Worked Example 4

Problem: Use 19 and 7 to make a simple example about Comparing totals.

  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 Comparing totals.

Worked Example 5

Problem: Use 9 and 19 to make a simple example about Comparing totals.

  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 Comparing totals.

Worked Example 6

Problem: Use 3 and 12 to make a simple example about Comparing totals.

  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 Comparing totals.

Worked Example 7

Problem: Use 20 and 14 to make a simple example about Comparing totals.

  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 Comparing totals.

Worked Example 8

Problem: Use 14 and 10 to make a simple example about Comparing totals.

  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 Comparing totals.

Worked Example 9

Problem: Use 16 and 5 to make a simple example about Comparing totals.

  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 Comparing totals.

Worked Example 10

Problem: Use 17 and 14 to make a simple example about Comparing totals.

  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 Comparing totals.

44.4 Finding similarities

Finding similarities 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 18 and 5 to make a simple example about Finding similarities.

  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 Finding similarities.

Worked Example 2

Problem: Use 5 and 20 to make a simple example about Finding similarities.

  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 Finding similarities.

Worked Example 3

Problem: Use 3 and 15 to make a simple example about Finding similarities.

  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 Finding similarities.

Worked Example 4

Problem: Use 1 and 3 to make a simple example about Finding similarities.

  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 Finding similarities.

Worked Example 5

Problem: Use 4 and 13 to make a simple example about Finding similarities.

  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 Finding similarities.

Worked Example 6

Problem: Use 1 and 20 to make a simple example about Finding similarities.

  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 Finding similarities.

Worked Example 7

Problem: Use 7 and 12 to make a simple example about Finding similarities.

  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 Finding similarities.

Worked Example 8

Problem: Use 12 and 19 to make a simple example about Finding similarities.

  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 Finding similarities.

Worked Example 9

Problem: Use 4 and 6 to make a simple example about Finding similarities.

  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 Finding similarities.

Worked Example 10

Problem: Use 16 and 3 to make a simple example about Finding similarities.

  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 Finding similarities.

44.5 Finding differences

Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Find 72 − 49.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 23

Worked Example 2

Problem: Find 47 − 19.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 28

Worked Example 3

Problem: Find 120 − 107.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 13

Worked Example 4

Problem: Find 88 − 26.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 62

Worked Example 5

Problem: Find 122 − 14.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 108

Worked Example 6

Problem: Find 44 − 26.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 18

Worked Example 7

Problem: Find 131 − 81.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 50

Worked Example 8

Problem: Find 143 − 88.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 55

Worked Example 9

Problem: Find 103 − 83.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 20

Worked Example 10

Problem: Find 20 − 3.

  1. Start with the larger number.
  2. Take away or count up.
  3. Check with addition.

Very beginner explanation: Subtraction finds what remains or the difference.

Answer: 17

44.6 Comparing most common categories

Comparing most common 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 Comparing most common 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 Comparing most common categories.

Worked Example 2

Problem: Use 19 and 2 to make a simple example about Comparing most common 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 Comparing most common categories.

Worked Example 3

Problem: Use 12 and 11 to make a simple example about Comparing most common 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 Comparing most common categories.

Worked Example 4

Problem: Use 19 and 3 to make a simple example about Comparing most common 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 Comparing most common categories.

Worked Example 5

Problem: Use 18 and 14 to make a simple example about Comparing most common 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 Comparing most common categories.

Worked Example 6

Problem: Use 6 and 16 to make a simple example about Comparing most common 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 Comparing most common categories.

Worked Example 7

Problem: Use 6 and 20 to make a simple example about Comparing most common 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 Comparing most common categories.

Worked Example 8

Problem: Use 12 and 16 to make a simple example about Comparing most common 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 Comparing most common categories.

Worked Example 9

Problem: Use 17 and 2 to make a simple example about Comparing most common 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 Comparing most common categories.

Worked Example 10

Problem: Use 19 and 11 to make a simple example about Comparing most common 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 Comparing most common categories.

44.7 Comparing least common categories

Comparing least common 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 8 and 14 to make a simple example about Comparing least common 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 Comparing least common categories.

Worked Example 2

Problem: Use 1 and 17 to make a simple example about Comparing least common 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 Comparing least common categories.

Worked Example 3

Problem: Use 2 and 3 to make a simple example about Comparing least common 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 Comparing least common categories.

Worked Example 4

Problem: Use 19 and 10 to make a simple example about Comparing least common 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 Comparing least common categories.

Worked Example 5

Problem: Use 19 and 13 to make a simple example about Comparing least common 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 Comparing least common categories.

Worked Example 6

Problem: Use 6 and 18 to make a simple example about Comparing least common 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 Comparing least common categories.

Worked Example 7

Problem: Use 1 and 1 to make a simple example about Comparing least common 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 Comparing least common categories.

Worked Example 8

Problem: Use 15 and 13 to make a simple example about Comparing least common 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 Comparing least common categories.

Worked Example 9

Problem: Use 1 and 6 to make a simple example about Comparing least common 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 Comparing least common categories.

Worked Example 10

Problem: Use 20 and 5 to make a simple example about Comparing least common 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 Comparing least common categories.

44.8 Using tables to compare

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 [4, 10, 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 2

Problem: Four categories have counts [1, 5, 10, 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 3

Problem: Four categories have counts [4, 1, 5, 2]. What is the greatest count?

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

Very beginner explanation: Data displays help compare categories.

Answer: 5

Worked Example 4

Problem: Four categories have counts [8, 6, 7, 7]. 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 [2, 9, 1, 3]. 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 [6, 7, 2, 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 7

Problem: Four categories have counts [3, 4, 2, 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 8

Problem: Four categories have counts [2, 4, 3, 4]. What is the greatest count?

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

Very beginner explanation: Data displays help compare categories.

Answer: 4

Worked Example 9

Problem: Four categories have counts [6, 10, 8, 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 [2, 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

44.9 Using graphs to compare

Using graphs to compare 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 17 and 7 to make a simple example about Using graphs to compare.

  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 Using graphs to compare.

Worked Example 2

Problem: Use 14 and 15 to make a simple example about Using graphs to compare.

  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 Using graphs to compare.

Worked Example 3

Problem: Use 20 and 7 to make a simple example about Using graphs to compare.

  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 Using graphs to compare.

Worked Example 4

Problem: Use 6 and 6 to make a simple example about Using graphs to compare.

  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 Using graphs to compare.

Worked Example 5

Problem: Use 15 and 17 to make a simple example about Using graphs to compare.

  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 Using graphs to compare.

Worked Example 6

Problem: Use 11 and 5 to make a simple example about Using graphs to compare.

  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 Using graphs to compare.

Worked Example 7

Problem: Use 14 and 15 to make a simple example about Using graphs to compare.

  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 Using graphs to compare.

Worked Example 8

Problem: Use 9 and 7 to make a simple example about Using graphs to compare.

  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 Using graphs to compare.

Worked Example 9

Problem: Use 20 and 20 to make a simple example about Using graphs to compare.

  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 Using graphs to compare.

Worked Example 10

Problem: Use 15 and 1 to make a simple example about Using graphs to compare.

  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 Using graphs to compare.

44.10 Answering a comparison question

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

10 Worked Examples with Answers

Worked Example 1

Problem: Use 13 and 9 to make a simple example about Answering a comparison question.

  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 Answering a comparison question.

Worked Example 2

Problem: Use 11 and 19 to make a simple example about Answering a comparison question.

  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 Answering a comparison question.

Worked Example 3

Problem: Use 3 and 6 to make a simple example about Answering a comparison question.

  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 Answering a comparison question.

Worked Example 4

Problem: Use 11 and 13 to make a simple example about Answering a comparison question.

  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 Answering a comparison question.

Worked Example 5

Problem: Use 2 and 5 to make a simple example about Answering a comparison question.

  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 Answering a comparison question.

Worked Example 6

Problem: Use 6 and 9 to make a simple example about Answering a comparison question.

  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 Answering a comparison question.

Worked Example 7

Problem: Use 18 and 2 to make a simple example about Answering a comparison question.

  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 Answering a comparison question.

Worked Example 8

Problem: Use 10 and 5 to make a simple example about Answering a comparison question.

  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 Answering a comparison question.

Worked Example 9

Problem: Use 18 and 18 to make a simple example about Answering a comparison question.

  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 Answering a comparison question.

Worked Example 10

Problem: Use 18 and 14 to make a simple example about Answering a comparison question.

  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 Answering a comparison question.

44.11 Making a conclusion

Making a conclusion 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 7 and 2 to make a simple example about Making a conclusion.

  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 Making a conclusion.

Worked Example 2

Problem: Use 17 and 3 to make a simple example about Making a conclusion.

  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 Making a conclusion.

Worked Example 3

Problem: Use 14 and 14 to make a simple example about Making a conclusion.

  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 Making a conclusion.

Worked Example 4

Problem: Use 9 and 1 to make a simple example about Making a conclusion.

  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 Making a conclusion.

Worked Example 5

Problem: Use 15 and 19 to make a simple example about Making a conclusion.

  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 Making a conclusion.

Worked Example 6

Problem: Use 18 and 8 to make a simple example about Making a conclusion.

  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 Making a conclusion.

Worked Example 7

Problem: Use 8 and 9 to make a simple example about Making a conclusion.

  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 Making a conclusion.

Worked Example 8

Problem: Use 18 and 13 to make a simple example about Making a conclusion.

  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 Making a conclusion.

Worked Example 9

Problem: Use 2 and 17 to make a simple example about Making a conclusion.

  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 Making a conclusion.

Worked Example 10

Problem: Use 4 and 10 to make a simple example about Making a conclusion.

  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 Making a conclusion.

44.12 Supporting a conclusion with 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 [2, 3, 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 2

Problem: Four categories have counts [7, 1, 1, 1]. 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 3

Problem: Four categories have counts [6, 5, 9, 3]. 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 [1, 2, 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

Worked Example 5

Problem: Four categories have counts [6, 4, 5, 7]. 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 6

Problem: Four categories have counts [8, 2, 6, 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 [3, 6, 6, 1]. 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 8

Problem: Four categories have counts [9, 4, 3, 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 9

Problem: Four categories have counts [1, 3, 7, 5]. 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 [3, 2, 10, 5]. What is the greatest count?

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

Very beginner explanation: Data displays help compare categories.

Answer: 10

30 Review Questions and Answers

Q1. What should a Grade 2 learner understand about Two groups of 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 Same categories?

Answer: Same categories 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 Comparing totals?

Answer: Comparing totals 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 Finding similarities?

Answer: Finding similarities 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 Finding differences?

Answer: Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer.

Q6. What should a Grade 2 learner understand about Comparing most common categories?

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

Q7. What should a Grade 2 learner understand about Comparing least common categories?

Answer: Comparing least common categories 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 Using tables to compare?

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

Q9. What should a Grade 2 learner understand about Using graphs to compare?

Answer: Using graphs to compare is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q10. What should a Grade 2 learner understand about Answering a comparison question?

Answer: Answering a comparison question 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 Making a conclusion?

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

Q12. What should a Grade 2 learner understand about Supporting a conclusion with data?

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

Q13. What should a Grade 2 learner understand about Two groups of 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 Same categories?

Answer: Same categories 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 Comparing totals?

Answer: Comparing totals 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 Finding similarities?

Answer: Finding similarities 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 Finding differences?

Answer: Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer.

Q18. What should a Grade 2 learner understand about Comparing most common categories?

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

Q19. What should a Grade 2 learner understand about Comparing least common categories?

Answer: Comparing least common categories 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 Using tables to compare?

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

Q21. What should a Grade 2 learner understand about Using graphs to compare?

Answer: Using graphs to compare is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.

Q22. What should a Grade 2 learner understand about Answering a comparison question?

Answer: Answering a comparison question 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 Making a conclusion?

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

Q24. What should a Grade 2 learner understand about Supporting a conclusion with data?

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

Q25. What should a Grade 2 learner understand about Two groups of 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 Same categories?

Answer: Same categories 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 Comparing totals?

Answer: Comparing totals 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 Finding similarities?

Answer: Finding similarities 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 Finding differences?

Answer: Subtraction can mean taking away, finding a difference, or finding a missing part. Addition can check the answer.

Q30. What should a Grade 2 learner understand about Comparing most common categories?

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