Chapter 39: Mathematical Modelling Process
Learn Grade 2 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Mathematical Modelling Process with simple explanations, visual thinking, worked examples, practice, and review.
39.1 Understanding a real problem
Understanding a real problem 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 3 to make a simple example about Understanding a real problem.
- 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 Understanding a real problem.
Worked Example 2
Problem: Use 18 and 15 to make a simple example about Understanding a real problem.
- 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 Understanding a real problem.
Worked Example 3
Problem: Use 6 and 20 to make a simple example about Understanding a real problem.
- 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 Understanding a real problem.
Worked Example 4
Problem: Use 5 and 1 to make a simple example about Understanding a real problem.
- 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 Understanding a real problem.
Worked Example 5
Problem: Use 4 and 19 to make a simple example about Understanding a real problem.
- 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 Understanding a real problem.
Worked Example 6
Problem: Use 6 and 4 to make a simple example about Understanding a real problem.
- 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 Understanding a real problem.
Worked Example 7
Problem: Use 4 and 12 to make a simple example about Understanding a real problem.
- 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 Understanding a real problem.
Worked Example 8
Problem: Use 16 and 19 to make a simple example about Understanding a real problem.
- 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 Understanding a real problem.
Worked Example 9
Problem: Use 19 and 20 to make a simple example about Understanding a real problem.
- 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 Understanding a real problem.
Worked Example 10
Problem: Use 13 and 14 to make a simple example about Understanding a real problem.
- 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 Understanding a real problem.
39.2 Asking what needs to be decided
Asking what needs to be decided 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 1 to make a simple example about Asking what needs to be decided.
- 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 Asking what needs to be decided.
Worked Example 2
Problem: Use 1 and 1 to make a simple example about Asking what needs to be decided.
- 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 Asking what needs to be decided.
Worked Example 3
Problem: Use 13 and 15 to make a simple example about Asking what needs to be decided.
- 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 Asking what needs to be decided.
Worked Example 4
Problem: Use 18 and 2 to make a simple example about Asking what needs to be decided.
- 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 Asking what needs to be decided.
Worked Example 5
Problem: Use 19 and 6 to make a simple example about Asking what needs to be decided.
- 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 Asking what needs to be decided.
Worked Example 6
Problem: Use 15 and 6 to make a simple example about Asking what needs to be decided.
- 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 Asking what needs to be decided.
Worked Example 7
Problem: Use 11 and 11 to make a simple example about Asking what needs to be decided.
- 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 Asking what needs to be decided.
Worked Example 8
Problem: Use 7 and 5 to make a simple example about Asking what needs to be decided.
- 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 Asking what needs to be decided.
Worked Example 9
Problem: Use 20 and 5 to make a simple example about Asking what needs to be decided.
- 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 Asking what needs to be decided.
Worked Example 10
Problem: Use 17 and 4 to make a simple example about Asking what needs to be decided.
- 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 Asking what needs to be decided.
39.3 Collecting useful information
Collecting useful 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 5 and 12 to make a simple example about Collecting useful 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 Collecting useful information.
Worked Example 2
Problem: Use 10 and 2 to make a simple example about Collecting useful 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 Collecting useful information.
Worked Example 3
Problem: Use 17 and 6 to make a simple example about Collecting useful 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 Collecting useful information.
Worked Example 4
Problem: Use 15 and 18 to make a simple example about Collecting useful 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 Collecting useful information.
Worked Example 5
Problem: Use 15 and 1 to make a simple example about Collecting useful 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 Collecting useful information.
Worked Example 6
Problem: Use 13 and 14 to make a simple example about Collecting useful 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 Collecting useful information.
Worked Example 7
Problem: Use 11 and 15 to make a simple example about Collecting useful 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 Collecting useful information.
Worked Example 8
Problem: Use 16 and 14 to make a simple example about Collecting useful 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 Collecting useful information.
Worked Example 9
Problem: Use 8 and 5 to make a simple example about Collecting useful 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 Collecting useful information.
Worked Example 10
Problem: Use 19 and 8 to make a simple example about Collecting useful 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 Collecting useful information.
39.4 Ignoring unneeded information
Ignoring unneeded 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 17 and 8 to make a simple example about Ignoring unneeded 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 unneeded information.
Worked Example 2
Problem: Use 17 and 12 to make a simple example about Ignoring unneeded 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 unneeded information.
Worked Example 3
Problem: Use 3 and 19 to make a simple example about Ignoring unneeded 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 unneeded information.
Worked Example 4
Problem: Use 18 and 14 to make a simple example about Ignoring unneeded 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 unneeded information.
Worked Example 5
Problem: Use 3 and 13 to make a simple example about Ignoring unneeded 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 unneeded information.
Worked Example 6
Problem: Use 7 and 18 to make a simple example about Ignoring unneeded 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 unneeded information.
Worked Example 7
Problem: Use 3 and 10 to make a simple example about Ignoring unneeded 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 unneeded information.
Worked Example 8
Problem: Use 11 and 9 to make a simple example about Ignoring unneeded 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 unneeded information.
Worked Example 9
Problem: Use 18 and 19 to make a simple example about Ignoring unneeded 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 unneeded information.
Worked Example 10
Problem: Use 3 and 2 to make a simple example about Ignoring unneeded 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 unneeded information.
39.5 Using drawings
Using drawings 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 13 to make a simple example about Using drawings.
- 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 drawings.
Worked Example 2
Problem: Use 11 and 20 to make a simple example about Using drawings.
- 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 drawings.
Worked Example 3
Problem: Use 17 and 4 to make a simple example about Using drawings.
- 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 drawings.
Worked Example 4
Problem: Use 19 and 16 to make a simple example about Using drawings.
- 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 drawings.
Worked Example 5
Problem: Use 1 and 11 to make a simple example about Using drawings.
- 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 drawings.
Worked Example 6
Problem: Use 7 and 15 to make a simple example about Using drawings.
- 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 drawings.
Worked Example 7
Problem: Use 13 and 11 to make a simple example about Using drawings.
- 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 drawings.
Worked Example 8
Problem: Use 7 and 13 to make a simple example about Using drawings.
- 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 drawings.
Worked Example 9
Problem: Use 2 and 15 to make a simple example about Using drawings.
- 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 drawings.
Worked Example 10
Problem: Use 3 and 4 to make a simple example about Using drawings.
- 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 drawings.
39.6 Using numbers
Using numbers 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 9 and 11 to make a simple example about Using numbers.
- 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 numbers.
Worked Example 2
Problem: Use 15 and 13 to make a simple example about Using numbers.
- 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 numbers.
Worked Example 3
Problem: Use 3 and 1 to make a simple example about Using numbers.
- 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 numbers.
Worked Example 4
Problem: Use 2 and 12 to make a simple example about Using numbers.
- 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 numbers.
Worked Example 5
Problem: Use 12 and 3 to make a simple example about Using numbers.
- 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 numbers.
Worked Example 6
Problem: Use 5 and 1 to make a simple example about Using numbers.
- 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 numbers.
Worked Example 7
Problem: Use 17 and 1 to make a simple example about Using numbers.
- 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 numbers.
Worked Example 8
Problem: Use 10 and 19 to make a simple example about Using numbers.
- 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 numbers.
Worked Example 9
Problem: Use 4 and 7 to make a simple example about Using numbers.
- 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 numbers.
Worked Example 10
Problem: Use 2 and 12 to make a simple example about Using numbers.
- 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 numbers.
39.7 Using 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 [1, 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 2
Problem: Four categories have counts [9, 7, 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 3
Problem: Four categories have counts [6, 6, 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 4
Problem: Four categories have counts [5, 5, 6, 1]. 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 [4, 7, 2, 5]. 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 [3, 3, 1, 1]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 3
Worked Example 7
Problem: Four categories have counts [6, 7, 6, 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, 1, 6]. 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 [1, 10, 8, 1]. 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, 5, 9, 6]. What is the greatest count?
- Read all counts.
- Choose the largest.
Very beginner explanation: Data displays help compare categories.
Answer: 10
39.8 Trying a solution
Trying a solution 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 11 to make a simple example about Trying a solution.
- 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 Trying a solution.
Worked Example 2
Problem: Use 2 and 19 to make a simple example about Trying a solution.
- 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 Trying a solution.
Worked Example 3
Problem: Use 19 and 6 to make a simple example about Trying a solution.
- 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 Trying a solution.
Worked Example 4
Problem: Use 12 and 2 to make a simple example about Trying a solution.
- 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 Trying a solution.
Worked Example 5
Problem: Use 7 and 11 to make a simple example about Trying a solution.
- 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 Trying a solution.
Worked Example 6
Problem: Use 17 and 7 to make a simple example about Trying a solution.
- 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 Trying a solution.
Worked Example 7
Problem: Use 10 and 8 to make a simple example about Trying a solution.
- 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 Trying a solution.
Worked Example 8
Problem: Use 13 and 5 to make a simple example about Trying a solution.
- 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 Trying a solution.
Worked Example 9
Problem: Use 15 and 8 to make a simple example about Trying a solution.
- 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 Trying a solution.
Worked Example 10
Problem: Use 13 and 4 to make a simple example about Trying a solution.
- 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 Trying a solution.
39.9 Checking a solution
Checking a solution 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 2 to make a simple example about Checking a solution.
- 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 a solution.
Worked Example 2
Problem: Use 4 and 12 to make a simple example about Checking a solution.
- 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 a solution.
Worked Example 3
Problem: Use 1 and 9 to make a simple example about Checking a solution.
- 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 a solution.
Worked Example 4
Problem: Use 16 and 17 to make a simple example about Checking a solution.
- 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 a solution.
Worked Example 5
Problem: Use 5 and 11 to make a simple example about Checking a solution.
- 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 a solution.
Worked Example 6
Problem: Use 7 and 17 to make a simple example about Checking a solution.
- 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 a solution.
Worked Example 7
Problem: Use 13 and 7 to make a simple example about Checking a solution.
- 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 a solution.
Worked Example 8
Problem: Use 6 and 7 to make a simple example about Checking a solution.
- 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 a solution.
Worked Example 9
Problem: Use 3 and 10 to make a simple example about Checking a solution.
- 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 a solution.
Worked Example 10
Problem: Use 3 and 1 to make a simple example about Checking a solution.
- 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 a solution.
39.10 Changing a solution
Changing a solution 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 17 to make a simple example about Changing a solution.
- 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 Changing a solution.
Worked Example 2
Problem: Use 17 and 4 to make a simple example about Changing a solution.
- 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 Changing a solution.
Worked Example 3
Problem: Use 3 and 11 to make a simple example about Changing a solution.
- 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 Changing a solution.
Worked Example 4
Problem: Use 7 and 12 to make a simple example about Changing a solution.
- 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 Changing a solution.
Worked Example 5
Problem: Use 10 and 19 to make a simple example about Changing a solution.
- 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 Changing a solution.
Worked Example 6
Problem: Use 10 and 3 to make a simple example about Changing a solution.
- 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 Changing a solution.
Worked Example 7
Problem: Use 19 and 8 to make a simple example about Changing a solution.
- 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 Changing a solution.
Worked Example 8
Problem: Use 14 and 14 to make a simple example about Changing a solution.
- 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 Changing a solution.
Worked Example 9
Problem: Use 7 and 6 to make a simple example about Changing a solution.
- 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 Changing a solution.
Worked Example 10
Problem: Use 1 and 11 to make a simple example about Changing a solution.
- 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 Changing a solution.
39.11 Explaining a choice
Explaining a choice is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.
10 Worked Examples with Answers
Worked Example 1
Problem: Use 10 and 10 to make a simple example about Explaining a choice.
- 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 choice.
Worked Example 2
Problem: Use 5 and 1 to make a simple example about Explaining a choice.
- 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 choice.
Worked Example 3
Problem: Use 7 and 20 to make a simple example about Explaining a choice.
- 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 choice.
Worked Example 4
Problem: Use 9 and 8 to make a simple example about Explaining a choice.
- 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 choice.
Worked Example 5
Problem: Use 19 and 5 to make a simple example about Explaining a choice.
- 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 choice.
Worked Example 6
Problem: Use 18 and 7 to make a simple example about Explaining a choice.
- 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 choice.
Worked Example 7
Problem: Use 16 and 11 to make a simple example about Explaining a choice.
- 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 choice.
Worked Example 8
Problem: Use 9 and 7 to make a simple example about Explaining a choice.
- 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 choice.
Worked Example 9
Problem: Use 14 and 3 to make a simple example about Explaining a choice.
- 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 choice.
Worked Example 10
Problem: Use 1 and 18 to make a simple example about Explaining a choice.
- 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 choice.
39.12 Recognizing that more than one solution may work
Recognizing that more than one solution may work 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 11 to make a simple example about Recognizing that more than one solution may work.
- 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 Recognizing that more than one solution may work.
Worked Example 2
Problem: Use 18 and 14 to make a simple example about Recognizing that more than one solution may work.
- 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 Recognizing that more than one solution may work.
Worked Example 3
Problem: Use 13 and 15 to make a simple example about Recognizing that more than one solution may work.
- 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 Recognizing that more than one solution may work.
Worked Example 4
Problem: Use 14 and 1 to make a simple example about Recognizing that more than one solution may work.
- 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 Recognizing that more than one solution may work.
Worked Example 5
Problem: Use 15 and 1 to make a simple example about Recognizing that more than one solution may work.
- 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 Recognizing that more than one solution may work.
Worked Example 6
Problem: Use 12 and 15 to make a simple example about Recognizing that more than one solution may work.
- 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 Recognizing that more than one solution may work.
Worked Example 7
Problem: Use 4 and 2 to make a simple example about Recognizing that more than one solution may work.
- 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 Recognizing that more than one solution may work.
Worked Example 8
Problem: Use 8 and 10 to make a simple example about Recognizing that more than one solution may work.
- 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 Recognizing that more than one solution may work.
Worked Example 9
Problem: Use 15 and 16 to make a simple example about Recognizing that more than one solution may work.
- 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 Recognizing that more than one solution may work.
Worked Example 10
Problem: Use 8 and 17 to make a simple example about Recognizing that more than one solution may work.
- 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 Recognizing that more than one solution may work.
30 Review Questions and Answers
Q1. What should a Grade 2 learner understand about Understanding a real problem?
Answer: Understanding a real problem is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q2. What should a Grade 2 learner understand about Asking what needs to be decided?
Answer: Asking what needs to be decided 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 Collecting useful information?
Answer: Collecting useful information 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 unneeded information?
Answer: Ignoring unneeded 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 Using drawings?
Answer: Using drawings is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q6. What should a Grade 2 learner understand about Using numbers?
Answer: Using numbers 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 Using tables?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q8. What should a Grade 2 learner understand about Trying a solution?
Answer: Trying a solution 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 a solution?
Answer: Checking a solution 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 Changing a solution?
Answer: Changing a solution 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 Explaining a choice?
Answer: Explaining a choice 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 Recognizing that more than one solution may work?
Answer: Recognizing that more than one solution may work is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q13. What should a Grade 2 learner understand about Understanding a real problem?
Answer: Understanding a real problem is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q14. What should a Grade 2 learner understand about Asking what needs to be decided?
Answer: Asking what needs to be decided 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 Collecting useful information?
Answer: Collecting useful information 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 unneeded information?
Answer: Ignoring unneeded 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 Using drawings?
Answer: Using drawings is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q18. What should a Grade 2 learner understand about Using numbers?
Answer: Using numbers 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 Using tables?
Answer: Data are collected to answer questions. Tables and graphs help organize and compare results.
Q20. What should a Grade 2 learner understand about Trying a solution?
Answer: Trying a solution 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 a solution?
Answer: Checking a solution 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 Changing a solution?
Answer: Changing a solution 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 Explaining a choice?
Answer: Explaining a choice 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 Recognizing that more than one solution may work?
Answer: Recognizing that more than one solution may work is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q25. What should a Grade 2 learner understand about Understanding a real problem?
Answer: Understanding a real problem is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q26. What should a Grade 2 learner understand about Asking what needs to be decided?
Answer: Asking what needs to be decided 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 Collecting useful information?
Answer: Collecting useful information 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 unneeded information?
Answer: Ignoring unneeded 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 Using drawings?
Answer: Using drawings is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.
Q30. What should a Grade 2 learner understand about Using numbers?
Answer: Using numbers is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words.