Chapter 45: Interpreting Data and Making Decisions
Learn Grade 2 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Interpreting Data and Making Decisions with simple explanations, visual thinking, worked examples, practice, and review.
45.1 Reading a table before deciding
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, 2, 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 2
Problem: Four categories have counts [5, 3, 2, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 5
Worked Example 3
Problem: Four categories have counts [10, 7, 6, 7]. 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 [1, 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 5
Problem: Four categories have counts [3, 10, 7, 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 [8, 4, 1, 7]. 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 [3, 4, 2, 7]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 7
Worked Example 8
Problem: Four categories have counts [6, 3, 6, 2]. 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 [9, 5, 8, 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 [3, 7, 2, 3]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 7
45.2 Reading a graph before deciding
Reading a graph before deciding 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 20 to make a simple example about Reading a graph before deciding.
- 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 Reading a graph before deciding.
Worked Example 2
Problem: Use 9 and 4 to make a simple example about Reading a graph before deciding.
- 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 Reading a graph before deciding.
Worked Example 3
Problem: Use 14 and 11 to make a simple example about Reading a graph before deciding.
- 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 Reading a graph before deciding.
Worked Example 4
Problem: Use 4 and 5 to make a simple example about Reading a graph before deciding.
- 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 Reading a graph before deciding.
Worked Example 5
Problem: Use 5 and 11 to make a simple example about Reading a graph before deciding.
- 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 Reading a graph before deciding.
Worked Example 6
Problem: Use 2 and 15 to make a simple example about Reading a graph before deciding.
- 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 Reading a graph before deciding.
Worked Example 7
Problem: Use 15 and 14 to make a simple example about Reading a graph before deciding.
- 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 Reading a graph before deciding.
Worked Example 8
Problem: Use 8 and 10 to make a simple example about Reading a graph before deciding.
- 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 Reading a graph before deciding.
Worked Example 9
Problem: Use 6 and 18 to make a simple example about Reading a graph before deciding.
- 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 Reading a graph before deciding.
Worked Example 10
Problem: Use 16 and 3 to make a simple example about Reading a graph before deciding.
- 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 Reading a graph before deciding.
45.3 Finding useful evidence
Finding useful evidence 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 5 to make a simple example about Finding useful evidence.
- 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 Finding useful evidence.
Worked Example 2
Problem: Use 4 and 11 to make a simple example about Finding useful evidence.
- 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 Finding useful evidence.
Worked Example 3
Problem: Use 13 and 15 to make a simple example about Finding useful evidence.
- 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 Finding useful evidence.
Worked Example 4
Problem: Use 15 and 6 to make a simple example about Finding useful evidence.
- 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 Finding useful evidence.
Worked Example 5
Problem: Use 1 and 8 to make a simple example about Finding useful evidence.
- 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 Finding useful evidence.
Worked Example 6
Problem: Use 2 and 1 to make a simple example about Finding useful evidence.
- 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 Finding useful evidence.
Worked Example 7
Problem: Use 1 and 15 to make a simple example about Finding useful evidence.
- 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 Finding useful evidence.
Worked Example 8
Problem: Use 2 and 1 to make a simple example about Finding useful evidence.
- 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 Finding useful evidence.
Worked Example 9
Problem: Use 15 and 18 to make a simple example about Finding useful evidence.
- 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 Finding useful evidence.
Worked Example 10
Problem: Use 12 and 7 to make a simple example about Finding useful evidence.
- 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 Finding useful evidence.
45.4 Ignoring unrelated information
Ignoring unrelated information 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 Ignoring unrelated information.
- 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 Ignoring unrelated information.
Worked Example 2
Problem: Use 7 and 18 to make a simple example about Ignoring unrelated information.
- 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 Ignoring unrelated information.
Worked Example 3
Problem: Use 17 and 20 to make a simple example about Ignoring unrelated information.
- 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 Ignoring unrelated information.
Worked Example 4
Problem: Use 16 and 7 to make a simple example about Ignoring unrelated information.
- 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 Ignoring unrelated information.
Worked Example 5
Problem: Use 13 and 9 to make a simple example about Ignoring unrelated information.
- 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 Ignoring unrelated information.
Worked Example 6
Problem: Use 7 and 8 to make a simple example about Ignoring unrelated information.
- 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 Ignoring unrelated information.
Worked Example 7
Problem: Use 6 and 4 to make a simple example about Ignoring unrelated information.
- 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 Ignoring unrelated information.
Worked Example 8
Problem: Use 12 and 20 to make a simple example about Ignoring unrelated information.
- 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 Ignoring unrelated information.
Worked Example 9
Problem: Use 4 and 8 to make a simple example about Ignoring unrelated information.
- 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 Ignoring unrelated information.
Worked Example 10
Problem: Use 18 and 20 to make a simple example about Ignoring unrelated information.
- 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 Ignoring unrelated information.
45.5 Explaining what the data show
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, 6, 5]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 8
Worked Example 2
Problem: Four categories have counts [2, 10, 9, 3]. 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, 10, 10, 6]. 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 [6, 6, 2, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 6
Worked Example 5
Problem: Four categories have counts [7, 7, 6, 9]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 6
Problem: Four categories have counts [2, 9, 6, 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 [2, 4, 6, 9]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 8
Problem: Four categories have counts [1, 5, 1, 5]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 5
Worked Example 9
Problem: Four categories have counts [4, 2, 5, 1]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 5
Worked Example 10
Problem: Four categories have counts [10, 5, 3, 8]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
45.6 Making a class decision
Making a class decision 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 11 to make a simple example about Making a class decision.
- 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 Making a class decision.
Worked Example 2
Problem: Use 20 and 4 to make a simple example about Making a class decision.
- 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 Making a class decision.
Worked Example 3
Problem: Use 9 and 13 to make a simple example about Making a class decision.
- 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 Making a class decision.
Worked Example 4
Problem: Use 11 and 14 to make a simple example about Making a class decision.
- 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 Making a class decision.
Worked Example 5
Problem: Use 4 and 3 to make a simple example about Making a class decision.
- 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 Making a class decision.
Worked Example 6
Problem: Use 2 and 6 to make a simple example about Making a class decision.
- 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 Making a class decision.
Worked Example 7
Problem: Use 18 and 14 to make a simple example about Making a class decision.
- 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 Making a class decision.
Worked Example 8
Problem: Use 15 and 8 to make a simple example about Making a class decision.
- 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 Making a class decision.
Worked Example 9
Problem: Use 12 and 12 to make a simple example about Making a class decision.
- 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 Making a class decision.
Worked Example 10
Problem: Use 6 and 9 to make a simple example about Making a class decision.
- 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 Making a class decision.
45.7 Choosing between two options
Choosing between two options 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 14 to make a simple example about Choosing between two options.
- 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 Choosing between two options.
Worked Example 2
Problem: Use 20 and 4 to make a simple example about Choosing between two options.
- 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 Choosing between two options.
Worked Example 3
Problem: Use 6 and 1 to make a simple example about Choosing between two options.
- 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 Choosing between two options.
Worked Example 4
Problem: Use 16 and 9 to make a simple example about Choosing between two options.
- 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 Choosing between two options.
Worked Example 5
Problem: Use 4 and 17 to make a simple example about Choosing between two options.
- 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 Choosing between two options.
Worked Example 6
Problem: Use 12 and 16 to make a simple example about Choosing between two options.
- 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 Choosing between two options.
Worked Example 7
Problem: Use 6 and 1 to make a simple example about Choosing between two options.
- 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 Choosing between two options.
Worked Example 8
Problem: Use 3 and 16 to make a simple example about Choosing between two options.
- 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 Choosing between two options.
Worked Example 9
Problem: Use 20 and 14 to make a simple example about Choosing between two options.
- 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 Choosing between two options.
Worked Example 10
Problem: Use 6 and 11 to make a simple example about Choosing between two options.
- 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 Choosing between two options.
45.8 Using more than one piece of evidence
Using more than one piece of evidence 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 16 to make a simple example about Using more than one piece of evidence.
- 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 Using more than one piece of evidence.
Worked Example 2
Problem: Use 8 and 6 to make a simple example about Using more than one piece of evidence.
- 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 Using more than one piece of evidence.
Worked Example 3
Problem: Use 5 and 7 to make a simple example about Using more than one piece of evidence.
- 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 Using more than one piece of evidence.
Worked Example 4
Problem: Use 4 and 2 to make a simple example about Using more than one piece of evidence.
- 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 Using more than one piece of evidence.
Worked Example 5
Problem: Use 16 and 19 to make a simple example about Using more than one piece of evidence.
- 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 Using more than one piece of evidence.
Worked Example 6
Problem: Use 4 and 8 to make a simple example about Using more than one piece of evidence.
- 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 Using more than one piece of evidence.
Worked Example 7
Problem: Use 18 and 11 to make a simple example about Using more than one piece of evidence.
- 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 Using more than one piece of evidence.
Worked Example 8
Problem: Use 2 and 15 to make a simple example about Using more than one piece of evidence.
- 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 Using more than one piece of evidence.
Worked Example 9
Problem: Use 2 and 20 to make a simple example about Using more than one piece of evidence.
- 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 Using more than one piece of evidence.
Worked Example 10
Problem: Use 9 and 2 to make a simple example about Using more than one piece of evidence.
- 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 Using more than one piece of evidence.
45.9 Checking whether data answer the 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 [7, 7, 3, 5]. 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 [1, 1, 1, 5]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 5
Worked Example 3
Problem: Four categories have counts [7, 3, 4, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 7
Worked Example 4
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 5
Problem: Four categories have counts [7, 3, 5, 1]. 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 [6, 5, 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 7
Problem: Four categories have counts [6, 4, 1, 5]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 6
Worked Example 8
Problem: Four categories have counts [4, 5, 8, 6]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 8
Worked Example 9
Problem: Four categories have counts [9, 8, 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 [10, 7, 3, 6]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
45.10 Recognizing when more data are needed
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 [8, 7, 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 2
Problem: Four categories have counts [4, 10, 1, 2]. 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 [9, 2, 8, 9]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 4
Problem: Four categories have counts [3, 4, 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 5
Problem: Four categories have counts [10, 5, 6, 4]. 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 [3, 3, 6, 3]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 6
Worked Example 7
Problem: Four categories have counts [6, 4, 7, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 7
Worked Example 8
Problem: Four categories have counts [1, 10, 1, 2]. 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 [1, 3, 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 10
Problem: Four categories have counts [10, 1, 2, 5]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
45.11 Explaining a decision
Explaining a decision 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 11 to make a simple example about Explaining a decision.
- 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 Explaining a decision.
Worked Example 2
Problem: Use 6 and 13 to make a simple example about Explaining a decision.
- 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 Explaining a decision.
Worked Example 3
Problem: Use 10 and 1 to make a simple example about Explaining a decision.
- 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 Explaining a decision.
Worked Example 4
Problem: Use 11 and 15 to make a simple example about Explaining a decision.
- 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 Explaining a decision.
Worked Example 5
Problem: Use 15 and 2 to make a simple example about Explaining a decision.
- 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 Explaining a decision.
Worked Example 6
Problem: Use 3 and 15 to make a simple example about Explaining a decision.
- 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 Explaining a decision.
Worked Example 7
Problem: Use 1 and 10 to make a simple example about Explaining a decision.
- 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 Explaining a decision.
Worked Example 8
Problem: Use 12 and 17 to make a simple example about Explaining a decision.
- 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 Explaining a decision.
Worked Example 9
Problem: Use 18 and 12 to make a simple example about Explaining a decision.
- 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 Explaining a decision.
Worked Example 10
Problem: Use 20 and 16 to make a simple example about Explaining a decision.
- 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 Explaining a decision.
45.12 Real-life data decisions
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, 8, 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 2
Problem: Four categories have counts [9, 1, 1, 3]. 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, 8, 5, 4]. 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 [4, 5, 9, 1]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 5
Problem: Four categories have counts [2, 8, 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 [9, 2, 6, 6]. 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 [9, 9, 4, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 9
Worked Example 8
Problem: Four categories have counts [3, 9, 10, 1]. 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 [6, 4, 10, 6]. 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 [4, 3, 5, 2]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 5
30 Review Questions and Answers
Q1. What should a Grade 2 learner understand about Reading a table before deciding?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q2. What should a Grade 2 learner understand about Reading a graph before deciding?
Answer: Reading a graph before deciding 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 Finding useful evidence?
Answer: Finding useful evidence 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 Ignoring unrelated information?
Answer: Ignoring unrelated information 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 Explaining what the data show?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q6. What should a Grade 2 learner understand about Making a class decision?
Answer: Making a class decision 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 Choosing between two options?
Answer: Choosing between two options 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 more than one piece of evidence?
Answer: Using more than one piece of evidence 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 Checking whether data answer the question?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q10. What should a Grade 2 learner understand about Recognizing when more data are needed?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q11. What should a Grade 2 learner understand about Explaining a decision?
Answer: Explaining a decision 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 Real-life data decisions?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q13. What should a Grade 2 learner understand about Reading a table before deciding?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q14. What should a Grade 2 learner understand about Reading a graph before deciding?
Answer: Reading a graph before deciding 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 Finding useful evidence?
Answer: Finding useful evidence 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 Ignoring unrelated information?
Answer: Ignoring unrelated information 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 Explaining what the data show?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q18. What should a Grade 2 learner understand about Making a class decision?
Answer: Making a class decision 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 Choosing between two options?
Answer: Choosing between two options 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 more than one piece of evidence?
Answer: Using more than one piece of evidence 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 Checking whether data answer the question?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q22. What should a Grade 2 learner understand about Recognizing when more data are needed?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q23. What should a Grade 2 learner understand about Explaining a decision?
Answer: Explaining a decision 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 Real-life data decisions?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q25. What should a Grade 2 learner understand about Reading a table before deciding?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q26. What should a Grade 2 learner understand about Reading a graph before deciding?
Answer: Reading a graph before deciding 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 Finding useful evidence?
Answer: Finding useful evidence 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 Ignoring unrelated information?
Answer: Ignoring unrelated information 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 Explaining what the data show?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q30. What should a Grade 2 learner understand about Making a class decision?
Answer: Making a class decision is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.