Chapter 42: Collecting and Organizing Data
Learn Grade 2 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Collecting and Organizing Data with simple explanations, visual thinking, worked examples, practice, and review.
42.1 Surveying classmates
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, 3, 10, 8]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 2
Problem: Four categories have counts [1, 3, 10, 4]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 3
Problem: Four categories have counts [8, 1, 8, 10]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 4
Problem: Four categories have counts [10, 7, 4, 1]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 5
Problem: Four categories have counts [6, 9, 10, 5]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 6
Problem: Four categories have counts [5, 1, 1, 1]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 5
Worked Example 7
Problem: Four categories have counts [3, 5, 6, 8]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 8
Worked Example 8
Problem: Four categories have counts [7, 10, 3, 10]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 9
Problem: Four categories have counts [9, 7, 6, 8]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 10
Problem: Four categories have counts [6, 5, 10, 8]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
42.2 Observing and recording
Observing and recording 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 1 to make a simple example about Observing and recording.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Observing and recording.
Worked Example 2
Problem: Use 1 and 10 to make a simple example about Observing and recording.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Observing and recording.
Worked Example 3
Problem: Use 16 and 13 to make a simple example about Observing and recording.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Observing and recording.
Worked Example 4
Problem: Use 12 and 7 to make a simple example about Observing and recording.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Observing and recording.
Worked Example 5
Problem: Use 20 and 8 to make a simple example about Observing and recording.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Observing and recording.
Worked Example 6
Problem: Use 17 and 6 to make a simple example about Observing and recording.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Observing and recording.
Worked Example 7
Problem: Use 17 and 5 to make a simple example about Observing and recording.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Observing and recording.
Worked Example 8
Problem: Use 17 and 6 to make a simple example about Observing and recording.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Observing and recording.
Worked Example 9
Problem: Use 3 and 5 to make a simple example about Observing and recording.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Observing and recording.
Worked Example 10
Problem: Use 20 and 16 to make a simple example about Observing and recording.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Observing and recording.
42.3 Tally marks
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 [5, 10, 4, 9]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 2
Problem: Four categories have counts [4, 8, 4, 10]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 3
Problem: Four categories have counts [10, 7, 4, 8]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 4
Problem: Four categories have counts [2, 1, 3, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 3
Worked Example 5
Problem: Four categories have counts [1, 9, 10, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 6
Problem: Four categories have counts [2, 1, 9, 9]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 7
Problem: Four categories have counts [3, 7, 9, 10]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 8
Problem: Four categories have counts [2, 9, 5, 1]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 9
Problem: Four categories have counts [8, 3, 5, 10]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 10
Problem: Four categories have counts [6, 9, 3, 7]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
42.4 Lists
Lists 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 20 and 11 to make a simple example about Lists.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Lists.
Worked Example 2
Problem: Use 11 and 15 to make a simple example about Lists.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Lists.
Worked Example 3
Problem: Use 13 and 19 to make a simple example about Lists.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Lists.
Worked Example 4
Problem: Use 8 and 9 to make a simple example about Lists.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Lists.
Worked Example 5
Problem: Use 2 and 12 to make a simple example about Lists.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Lists.
Worked Example 6
Problem: Use 13 and 15 to make a simple example about Lists.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Lists.
Worked Example 7
Problem: Use 17 and 10 to make a simple example about Lists.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Lists.
Worked Example 8
Problem: Use 1 and 6 to make a simple example about Lists.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Lists.
Worked Example 9
Problem: Use 11 and 20 to make a simple example about Lists.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Lists.
Worked Example 10
Problem: Use 20 and 10 to make a simple example about Lists.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Lists.
42.5 Tables
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 [7, 7, 3, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 7
Worked Example 2
Problem: Four categories have counts [5, 8, 1, 5]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 8
Worked Example 3
Problem: Four categories have counts [9, 10, 2, 1]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 4
Problem: Four categories have counts [7, 3, 10, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 5
Problem: Four categories have counts [3, 1, 5, 7]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 7
Worked Example 6
Problem: Four categories have counts [9, 3, 9, 7]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 7
Problem: Four categories have counts [4, 4, 9, 10]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 8
Problem: Four categories have counts [4, 9, 3, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 9
Problem: Four categories have counts [4, 4, 5, 9]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 10
Problem: Four categories have counts [10, 3, 1, 6]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
42.6 Sorting collected 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 [5, 7, 4, 3]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 7
Worked Example 2
Problem: Four categories have counts [5, 9, 6, 8]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 3
Problem: Four categories have counts [7, 7, 8, 3]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 8
Worked Example 4
Problem: Four categories have counts [7, 6, 5, 3]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 7
Worked Example 5
Problem: Four categories have counts [3, 3, 7, 10]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 6
Problem: Four categories have counts [10, 4, 9, 6]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 7
Problem: Four categories have counts [3, 5, 8, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 8
Worked Example 8
Problem: Four categories have counts [5, 6, 6, 6]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 6
Worked Example 9
Problem: Four categories have counts [10, 2, 2, 10]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 10
Problem: Four categories have counts [3, 8, 8, 7]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 8
42.7 Counting frequencies
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 21, 26, 31, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 36, 41
Worked Example 2
Problem: Continue 11, 16, 21, ...
- The rule is add 5.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 26, 31
Worked Example 3
Problem: Continue 6, 8, 10, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 12, 14
Worked Example 4
Problem: Continue 20, 21, 22, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 23, 24
Worked Example 5
Problem: Continue 36, 38, 40, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 42, 44
Worked Example 6
Problem: Continue 23, 24, 25, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 26, 27
Worked Example 7
Problem: Continue 23, 24, 25, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 26, 27
Worked Example 8
Problem: Continue 25, 35, 45, ...
- The rule is add 10.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 55, 65
Worked Example 9
Problem: Continue 28, 29, 30, ...
- The rule is add 1.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 31, 32
Worked Example 10
Problem: Continue 37, 39, 41, ...
- The rule is add 2.
- Use the same rule again.
Very beginner explanation: Counting patterns use a consistent step.
Answer: 43, 45
42.8 Checking totals
Checking 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 3 and 5 to make a simple example about Checking totals.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 totals.
Worked Example 2
Problem: Use 10 and 15 to make a simple example about Checking totals.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 totals.
Worked Example 3
Problem: Use 2 and 3 to make a simple example about Checking totals.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 totals.
Worked Example 4
Problem: Use 18 and 12 to make a simple example about Checking totals.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 totals.
Worked Example 5
Problem: Use 15 and 4 to make a simple example about Checking totals.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 totals.
Worked Example 6
Problem: Use 4 and 9 to make a simple example about Checking totals.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 totals.
Worked Example 7
Problem: Use 12 and 18 to make a simple example about Checking totals.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 totals.
Worked Example 8
Problem: Use 8 and 9 to make a simple example about Checking totals.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 totals.
Worked Example 9
Problem: Use 18 and 9 to make a simple example about Checking totals.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 totals.
Worked Example 10
Problem: Use 11 and 15 to make a simple example about Checking totals.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 totals.
42.9 Correcting recording mistakes
Correcting recording mistakes 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 5 to make a simple example about Correcting recording mistakes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Correcting recording mistakes.
Worked Example 2
Problem: Use 19 and 11 to make a simple example about Correcting recording mistakes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Correcting recording mistakes.
Worked Example 3
Problem: Use 7 and 9 to make a simple example about Correcting recording mistakes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Correcting recording mistakes.
Worked Example 4
Problem: Use 11 and 7 to make a simple example about Correcting recording mistakes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Correcting recording mistakes.
Worked Example 5
Problem: Use 14 and 11 to make a simple example about Correcting recording mistakes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Correcting recording mistakes.
Worked Example 6
Problem: Use 16 and 5 to make a simple example about Correcting recording mistakes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Correcting recording mistakes.
Worked Example 7
Problem: Use 18 and 6 to make a simple example about Correcting recording mistakes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Correcting recording mistakes.
Worked Example 8
Problem: Use 17 and 9 to make a simple example about Correcting recording mistakes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Correcting recording mistakes.
Worked Example 9
Problem: Use 3 and 20 to make a simple example about Correcting recording mistakes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Correcting recording mistakes.
Worked Example 10
Problem: Use 7 and 10 to make a simple example about Correcting recording mistakes.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Correcting recording mistakes.
42.10 Organizing two categories
Organizing two 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 20 and 10 to make a simple example about Organizing two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing two categories.
Worked Example 2
Problem: Use 7 and 12 to make a simple example about Organizing two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing two categories.
Worked Example 3
Problem: Use 9 and 1 to make a simple example about Organizing two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing two categories.
Worked Example 4
Problem: Use 1 and 17 to make a simple example about Organizing two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing two categories.
Worked Example 5
Problem: Use 9 and 4 to make a simple example about Organizing two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing two categories.
Worked Example 6
Problem: Use 16 and 10 to make a simple example about Organizing two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing two categories.
Worked Example 7
Problem: Use 19 and 19 to make a simple example about Organizing two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing two categories.
Worked Example 8
Problem: Use 6 and 7 to make a simple example about Organizing two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing two categories.
Worked Example 9
Problem: Use 8 and 3 to make a simple example about Organizing two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing two categories.
Worked Example 10
Problem: Use 7 and 14 to make a simple example about Organizing two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing two categories.
42.11 Organizing more than two categories
Organizing more than two 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 15 and 5 to make a simple example about Organizing more than two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing more than two categories.
Worked Example 2
Problem: Use 20 and 16 to make a simple example about Organizing more than two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing more than two categories.
Worked Example 3
Problem: Use 17 and 5 to make a simple example about Organizing more than two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing more than two categories.
Worked Example 4
Problem: Use 9 and 5 to make a simple example about Organizing more than two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing more than two categories.
Worked Example 5
Problem: Use 7 and 7 to make a simple example about Organizing more than two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing more than two categories.
Worked Example 6
Problem: Use 9 and 7 to make a simple example about Organizing more than two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing more than two categories.
Worked Example 7
Problem: Use 8 and 7 to make a simple example about Organizing more than two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing more than two categories.
Worked Example 8
Problem: Use 17 and 14 to make a simple example about Organizing more than two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing more than two categories.
Worked Example 9
Problem: Use 15 and 3 to make a simple example about Organizing more than two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing more than two categories.
Worked Example 10
Problem: Use 4 and 20 to make a simple example about Organizing more than two categories.
- Recall the topic meaning.
- Use objects, a drawing, or a number sentence.
- 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 Organizing more than two categories.
42.12 Preparing data for a graph
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, 8, 7, 10]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 2
Problem: Four categories have counts [8, 2, 9, 10]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 3
Problem: Four categories have counts [3, 6, 1, 3]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 6
Worked Example 4
Problem: Four categories have counts [5, 6, 10, 7]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 5
Problem: Four categories have counts [10, 9, 10, 3]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 6
Problem: Four categories have counts [8, 8, 6, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 8
Worked Example 7
Problem: Four categories have counts [7, 2, 8, 8]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 8
Worked Example 8
Problem: Four categories have counts [7, 7, 4, 5]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 7
Worked Example 9
Problem: Four categories have counts [4, 2, 10, 7]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
Worked Example 10
Problem: Four categories have counts [6, 10, 10, 8]. What is the greatest count?
- Read all counts.
- 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 Surveying classmates?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q2. What should a Grade 2 learner understand about Observing and recording?
Answer: Observing and recording 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 Tally marks?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q4. What should a Grade 2 learner understand about Lists?
Answer: Lists 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 Tables?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q6. What should a Grade 2 learner understand about Sorting collected data?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q7. What should a Grade 2 learner understand about Counting frequencies?
Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.
Q8. What should a Grade 2 learner understand about Checking totals?
Answer: Checking totals 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 Correcting recording mistakes?
Answer: Correcting recording mistakes 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 Organizing two categories?
Answer: Organizing two 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 Organizing more than two categories?
Answer: Organizing more than two categories 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 Preparing data for a graph?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q13. What should a Grade 2 learner understand about Surveying classmates?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q14. What should a Grade 2 learner understand about Observing and recording?
Answer: Observing and recording 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 Tally marks?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q16. What should a Grade 2 learner understand about Lists?
Answer: Lists 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 Tables?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q18. What should a Grade 2 learner understand about Sorting collected data?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q19. What should a Grade 2 learner understand about Counting frequencies?
Answer: Counting patterns organize numbers and help with addition, subtraction, and number relationships.
Q20. What should a Grade 2 learner understand about Checking totals?
Answer: Checking totals 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 Correcting recording mistakes?
Answer: Correcting recording mistakes 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 Organizing two categories?
Answer: Organizing two 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 Organizing more than two categories?
Answer: Organizing more than two categories 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 Preparing data for a graph?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q25. What should a Grade 2 learner understand about Surveying classmates?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q26. What should a Grade 2 learner understand about Observing and recording?
Answer: Observing and recording 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 Tally marks?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q28. What should a Grade 2 learner understand about Lists?
Answer: Lists 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 Tables?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q30. What should a Grade 2 learner understand about Sorting collected data?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.