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Chapter 40: Mathematical Modelling Project: Breakfast Plan

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

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

This chapter teaches Mathematical Modelling Project: Breakfast Plan with simple explanations, visual thinking, worked examples, practice, and review.

40.1 Understanding the breakfast problem

Mathematical modelling uses numbers, drawings, tables, and comparisons to solve a real situation and explain a choice. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 5 and 14 to make a simple example about Understanding the breakfast problem.

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

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

Answer: A correct Grade 2 example of Understanding the breakfast problem.

Worked Example 2

Problem: Use 18 and 18 to make a simple example about Understanding the breakfast problem.

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

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

Answer: A correct Grade 2 example of Understanding the breakfast problem.

Worked Example 3

Problem: Use 8 and 2 to make a simple example about Understanding the breakfast problem.

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

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

Answer: A correct Grade 2 example of Understanding the breakfast problem.

Worked Example 4

Problem: Use 10 and 2 to make a simple example about Understanding the breakfast problem.

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

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

Answer: A correct Grade 2 example of Understanding the breakfast problem.

Worked Example 5

Problem: Use 7 and 15 to make a simple example about Understanding the breakfast problem.

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

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

Answer: A correct Grade 2 example of Understanding the breakfast problem.

Worked Example 6

Problem: Use 14 and 4 to make a simple example about Understanding the breakfast problem.

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

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

Answer: A correct Grade 2 example of Understanding the breakfast problem.

Worked Example 7

Problem: Use 17 and 16 to make a simple example about Understanding the breakfast problem.

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

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

Answer: A correct Grade 2 example of Understanding the breakfast problem.

Worked Example 8

Problem: Use 13 and 1 to make a simple example about Understanding the breakfast problem.

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

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

Answer: A correct Grade 2 example of Understanding the breakfast problem.

Worked Example 9

Problem: Use 18 and 10 to make a simple example about Understanding the breakfast problem.

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

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

Answer: A correct Grade 2 example of Understanding the breakfast problem.

Worked Example 10

Problem: Use 15 and 15 to make a simple example about Understanding the breakfast problem.

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

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

Answer: A correct Grade 2 example of Understanding the breakfast problem.

40.2 Listing food choices

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

10 Worked Examples with Answers

Worked Example 1

Problem: Use 2 and 12 to make a simple example about Listing food choices.

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

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

Answer: A correct Grade 2 example of Listing food choices.

Worked Example 2

Problem: Use 11 and 3 to make a simple example about Listing food choices.

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

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

Answer: A correct Grade 2 example of Listing food choices.

Worked Example 3

Problem: Use 9 and 9 to make a simple example about Listing food choices.

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

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

Answer: A correct Grade 2 example of Listing food choices.

Worked Example 4

Problem: Use 6 and 3 to make a simple example about Listing food choices.

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

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

Answer: A correct Grade 2 example of Listing food choices.

Worked Example 5

Problem: Use 17 and 13 to make a simple example about Listing food choices.

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

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

Answer: A correct Grade 2 example of Listing food choices.

Worked Example 6

Problem: Use 18 and 16 to make a simple example about Listing food choices.

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

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

Answer: A correct Grade 2 example of Listing food choices.

Worked Example 7

Problem: Use 2 and 13 to make a simple example about Listing food choices.

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

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

Answer: A correct Grade 2 example of Listing food choices.

Worked Example 8

Problem: Use 10 and 10 to make a simple example about Listing food choices.

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

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

Answer: A correct Grade 2 example of Listing food choices.

Worked Example 9

Problem: Use 10 and 18 to make a simple example about Listing food choices.

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

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

Answer: A correct Grade 2 example of Listing food choices.

Worked Example 10

Problem: Use 12 and 15 to make a simple example about Listing food choices.

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

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

Answer: A correct Grade 2 example of Listing food choices.

40.3 Collecting class preferences

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

10 Worked Examples with Answers

Worked Example 1

Problem: Use 17 and 7 to make a simple example about Collecting class preferences.

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

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

Answer: A correct Grade 2 example of Collecting class preferences.

Worked Example 2

Problem: Use 8 and 10 to make a simple example about Collecting class preferences.

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

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

Answer: A correct Grade 2 example of Collecting class preferences.

Worked Example 3

Problem: Use 6 and 12 to make a simple example about Collecting class preferences.

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

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

Answer: A correct Grade 2 example of Collecting class preferences.

Worked Example 4

Problem: Use 3 and 10 to make a simple example about Collecting class preferences.

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

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

Answer: A correct Grade 2 example of Collecting class preferences.

Worked Example 5

Problem: Use 12 and 2 to make a simple example about Collecting class preferences.

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

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

Answer: A correct Grade 2 example of Collecting class preferences.

Worked Example 6

Problem: Use 12 and 1 to make a simple example about Collecting class preferences.

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

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

Answer: A correct Grade 2 example of Collecting class preferences.

Worked Example 7

Problem: Use 13 and 14 to make a simple example about Collecting class preferences.

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

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

Answer: A correct Grade 2 example of Collecting class preferences.

Worked Example 8

Problem: Use 10 and 17 to make a simple example about Collecting class preferences.

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

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

Answer: A correct Grade 2 example of Collecting class preferences.

Worked Example 9

Problem: Use 3 and 13 to make a simple example about Collecting class preferences.

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

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

Answer: A correct Grade 2 example of Collecting class preferences.

Worked Example 10

Problem: Use 17 and 15 to make a simple example about Collecting class preferences.

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

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

Answer: A correct Grade 2 example of Collecting class preferences.

40.4 Counting votes

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

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 1, 6, 11, ...

  1. The rule is add 5.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 16, 21

Worked Example 2

Problem: Continue 18, 20, 22, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 24, 26

Worked Example 3

Problem: Continue 26, 31, 36, ...

  1. The rule is add 5.
  2. Use the same rule again.

Very beginner explanation: Counting patterns use a consistent step.

Answer: 41, 46

Worked Example 4

Problem: Continue 22, 23, 24, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 25, 26

Worked Example 5

Problem: Continue 27, 28, 29, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 30, 31

Worked Example 6

Problem: Continue 4, 6, 8, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 10, 12

Worked Example 7

Problem: Continue 7, 17, 27, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 37, 47

Worked Example 8

Problem: Continue 29, 39, 49, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 59, 69

Worked Example 9

Problem: Continue 36, 37, 38, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 39, 40

Worked Example 10

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

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 43, 44

40.5 Comparing popular choices

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

10 Worked Examples with Answers

Worked Example 1

Problem: Use 13 and 8 to make a simple example about Comparing popular choices.

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

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

Answer: A correct Grade 2 example of Comparing popular choices.

Worked Example 2

Problem: Use 18 and 13 to make a simple example about Comparing popular choices.

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

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

Answer: A correct Grade 2 example of Comparing popular choices.

Worked Example 3

Problem: Use 4 and 14 to make a simple example about Comparing popular choices.

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

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

Answer: A correct Grade 2 example of Comparing popular choices.

Worked Example 4

Problem: Use 19 and 1 to make a simple example about Comparing popular choices.

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

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

Answer: A correct Grade 2 example of Comparing popular choices.

Worked Example 5

Problem: Use 8 and 6 to make a simple example about Comparing popular choices.

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

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

Answer: A correct Grade 2 example of Comparing popular choices.

Worked Example 6

Problem: Use 5 and 12 to make a simple example about Comparing popular choices.

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

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

Answer: A correct Grade 2 example of Comparing popular choices.

Worked Example 7

Problem: Use 13 and 15 to make a simple example about Comparing popular choices.

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

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

Answer: A correct Grade 2 example of Comparing popular choices.

Worked Example 8

Problem: Use 4 and 4 to make a simple example about Comparing popular choices.

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

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

Answer: A correct Grade 2 example of Comparing popular choices.

Worked Example 9

Problem: Use 10 and 7 to make a simple example about Comparing popular choices.

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

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

Answer: A correct Grade 2 example of Comparing popular choices.

Worked Example 10

Problem: Use 3 and 3 to make a simple example about Comparing popular choices.

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

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

Answer: A correct Grade 2 example of Comparing popular choices.

40.6 Planning equal servings

Planning equal servings 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 12 to make a simple example about Planning equal servings.

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

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

Answer: A correct Grade 2 example of Planning equal servings.

Worked Example 2

Problem: Use 13 and 4 to make a simple example about Planning equal servings.

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

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

Answer: A correct Grade 2 example of Planning equal servings.

Worked Example 3

Problem: Use 2 and 7 to make a simple example about Planning equal servings.

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

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

Answer: A correct Grade 2 example of Planning equal servings.

Worked Example 4

Problem: Use 20 and 19 to make a simple example about Planning equal servings.

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

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

Answer: A correct Grade 2 example of Planning equal servings.

Worked Example 5

Problem: Use 12 and 14 to make a simple example about Planning equal servings.

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

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

Answer: A correct Grade 2 example of Planning equal servings.

Worked Example 6

Problem: Use 10 and 20 to make a simple example about Planning equal servings.

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

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

Answer: A correct Grade 2 example of Planning equal servings.

Worked Example 7

Problem: Use 14 and 6 to make a simple example about Planning equal servings.

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

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

Answer: A correct Grade 2 example of Planning equal servings.

Worked Example 8

Problem: Use 5 and 7 to make a simple example about Planning equal servings.

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

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

Answer: A correct Grade 2 example of Planning equal servings.

Worked Example 9

Problem: Use 16 and 3 to make a simple example about Planning equal servings.

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

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

Answer: A correct Grade 2 example of Planning equal servings.

Worked Example 10

Problem: Use 4 and 3 to make a simple example about Planning equal servings.

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

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

Answer: A correct Grade 2 example of Planning equal servings.

40.7 Using addition for totals

Addition combines quantities. Counting on, making ten, drawings, and place value can help. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Find 33 + 7.

  1. Start with the larger number.
  2. Add tens or make a ten if helpful.
  3. Add the remaining ones.

Very beginner explanation: Addition combines quantities.

Answer: 40

Worked Example 2

Problem: Find 2 + 53.

  1. Start with the larger number.
  2. Add tens or make a ten if helpful.
  3. Add the remaining ones.

Very beginner explanation: Addition combines quantities.

Answer: 55

Worked Example 3

Problem: Find 41 + 45.

  1. Start with the larger number.
  2. Add tens or make a ten if helpful.
  3. Add the remaining ones.

Very beginner explanation: Addition combines quantities.

Answer: 86

Worked Example 4

Problem: Find 68 + 47.

  1. Start with the larger number.
  2. Add tens or make a ten if helpful.
  3. Add the remaining ones.

Very beginner explanation: Addition combines quantities.

Answer: 115

Worked Example 5

Problem: Find 52 + 15.

  1. Start with the larger number.
  2. Add tens or make a ten if helpful.
  3. Add the remaining ones.

Very beginner explanation: Addition combines quantities.

Answer: 67

Worked Example 6

Problem: Find 29 + 11.

  1. Start with the larger number.
  2. Add tens or make a ten if helpful.
  3. Add the remaining ones.

Very beginner explanation: Addition combines quantities.

Answer: 40

Worked Example 7

Problem: Find 29 + 19.

  1. Start with the larger number.
  2. Add tens or make a ten if helpful.
  3. Add the remaining ones.

Very beginner explanation: Addition combines quantities.

Answer: 48

Worked Example 8

Problem: Find 27 + 16.

  1. Start with the larger number.
  2. Add tens or make a ten if helpful.
  3. Add the remaining ones.

Very beginner explanation: Addition combines quantities.

Answer: 43

Worked Example 9

Problem: Find 33 + 27.

  1. Start with the larger number.
  2. Add tens or make a ten if helpful.
  3. Add the remaining ones.

Very beginner explanation: Addition combines quantities.

Answer: 60

Worked Example 10

Problem: Find 13 + 62.

  1. Start with the larger number.
  2. Add tens or make a ten if helpful.
  3. Add the remaining ones.

Very beginner explanation: Addition combines quantities.

Answer: 75

40.8 Using simple costs with whole dollars

Money amounts can be represented in different ways. Different combinations of coins and bills can have the same value. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Make 75 cents using common coin values.

  1. Choose coin values.
  2. Add them to check the total.

Very beginner explanation: The same amount can be made in different ways.

Answer: Any correct combination totaling 75 cents

Worked Example 2

Problem: Make 100 cents using common coin values.

  1. Choose coin values.
  2. Add them to check the total.

Very beginner explanation: The same amount can be made in different ways.

Answer: Any correct combination totaling 100 cents

Worked Example 3

Problem: Make 100 cents using common coin values.

  1. Choose coin values.
  2. Add them to check the total.

Very beginner explanation: The same amount can be made in different ways.

Answer: Any correct combination totaling 100 cents

Worked Example 4

Problem: Make 100 cents using common coin values.

  1. Choose coin values.
  2. Add them to check the total.

Very beginner explanation: The same amount can be made in different ways.

Answer: Any correct combination totaling 100 cents

Worked Example 5

Problem: Make 50 cents using common coin values.

  1. Choose coin values.
  2. Add them to check the total.

Very beginner explanation: The same amount can be made in different ways.

Answer: Any correct combination totaling 50 cents

Worked Example 6

Problem: Make 50 cents using common coin values.

  1. Choose coin values.
  2. Add them to check the total.

Very beginner explanation: The same amount can be made in different ways.

Answer: Any correct combination totaling 50 cents

Worked Example 7

Problem: Make 75 cents using common coin values.

  1. Choose coin values.
  2. Add them to check the total.

Very beginner explanation: The same amount can be made in different ways.

Answer: Any correct combination totaling 75 cents

Worked Example 8

Problem: Make 100 cents using common coin values.

  1. Choose coin values.
  2. Add them to check the total.

Very beginner explanation: The same amount can be made in different ways.

Answer: Any correct combination totaling 100 cents

Worked Example 9

Problem: Make 75 cents using common coin values.

  1. Choose coin values.
  2. Add them to check the total.

Very beginner explanation: The same amount can be made in different ways.

Answer: Any correct combination totaling 75 cents

Worked Example 10

Problem: Make 100 cents using common coin values.

  1. Choose coin values.
  2. Add them to check the total.

Very beginner explanation: The same amount can be made in different ways.

Answer: Any correct combination totaling 100 cents

40.9 Checking that enough servings are planned

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

10 Worked Examples with Answers

Worked Example 1

Problem: Use 2 and 3 to make a simple example about Checking that enough servings are planned.

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

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

Answer: A correct Grade 2 example of Checking that enough servings are planned.

Worked Example 2

Problem: Use 8 and 9 to make a simple example about Checking that enough servings are planned.

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

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

Answer: A correct Grade 2 example of Checking that enough servings are planned.

Worked Example 3

Problem: Use 1 and 18 to make a simple example about Checking that enough servings are planned.

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

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

Answer: A correct Grade 2 example of Checking that enough servings are planned.

Worked Example 4

Problem: Use 7 and 3 to make a simple example about Checking that enough servings are planned.

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

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

Answer: A correct Grade 2 example of Checking that enough servings are planned.

Worked Example 5

Problem: Use 16 and 11 to make a simple example about Checking that enough servings are planned.

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

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

Answer: A correct Grade 2 example of Checking that enough servings are planned.

Worked Example 6

Problem: Use 1 and 13 to make a simple example about Checking that enough servings are planned.

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

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

Answer: A correct Grade 2 example of Checking that enough servings are planned.

Worked Example 7

Problem: Use 12 and 8 to make a simple example about Checking that enough servings are planned.

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

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

Answer: A correct Grade 2 example of Checking that enough servings are planned.

Worked Example 8

Problem: Use 10 and 14 to make a simple example about Checking that enough servings are planned.

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

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

Answer: A correct Grade 2 example of Checking that enough servings are planned.

Worked Example 9

Problem: Use 2 and 8 to make a simple example about Checking that enough servings are planned.

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

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

Answer: A correct Grade 2 example of Checking that enough servings are planned.

Worked Example 10

Problem: Use 14 and 16 to make a simple example about Checking that enough servings are planned.

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

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

Answer: A correct Grade 2 example of Checking that enough servings are planned.

40.10 Comparing two plans

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

10 Worked Examples with Answers

Worked Example 1

Problem: Use 11 and 7 to make a simple example about Comparing two plans.

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

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

Answer: A correct Grade 2 example of Comparing two plans.

Worked Example 2

Problem: Use 12 and 18 to make a simple example about Comparing two plans.

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

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

Answer: A correct Grade 2 example of Comparing two plans.

Worked Example 3

Problem: Use 12 and 13 to make a simple example about Comparing two plans.

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

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

Answer: A correct Grade 2 example of Comparing two plans.

Worked Example 4

Problem: Use 15 and 1 to make a simple example about Comparing two plans.

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

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

Answer: A correct Grade 2 example of Comparing two plans.

Worked Example 5

Problem: Use 15 and 1 to make a simple example about Comparing two plans.

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

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

Answer: A correct Grade 2 example of Comparing two plans.

Worked Example 6

Problem: Use 2 and 8 to make a simple example about Comparing two plans.

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

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

Answer: A correct Grade 2 example of Comparing two plans.

Worked Example 7

Problem: Use 6 and 5 to make a simple example about Comparing two plans.

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

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

Answer: A correct Grade 2 example of Comparing two plans.

Worked Example 8

Problem: Use 19 and 14 to make a simple example about Comparing two plans.

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

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

Answer: A correct Grade 2 example of Comparing two plans.

Worked Example 9

Problem: Use 9 and 11 to make a simple example about Comparing two plans.

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

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

Answer: A correct Grade 2 example of Comparing two plans.

Worked Example 10

Problem: Use 17 and 7 to make a simple example about Comparing two plans.

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

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

Answer: A correct Grade 2 example of Comparing two plans.

40.11 Improving the plan

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

10 Worked Examples with Answers

Worked Example 1

Problem: Use 20 and 11 to make a simple example about Improving the plan.

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

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

Answer: A correct Grade 2 example of Improving the plan.

Worked Example 2

Problem: Use 14 and 8 to make a simple example about Improving the plan.

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

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

Answer: A correct Grade 2 example of Improving the plan.

Worked Example 3

Problem: Use 17 and 11 to make a simple example about Improving the plan.

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

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

Answer: A correct Grade 2 example of Improving the plan.

Worked Example 4

Problem: Use 1 and 19 to make a simple example about Improving the plan.

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

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

Answer: A correct Grade 2 example of Improving the plan.

Worked Example 5

Problem: Use 18 and 18 to make a simple example about Improving the plan.

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

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

Answer: A correct Grade 2 example of Improving the plan.

Worked Example 6

Problem: Use 7 and 12 to make a simple example about Improving the plan.

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

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

Answer: A correct Grade 2 example of Improving the plan.

Worked Example 7

Problem: Use 15 and 10 to make a simple example about Improving the plan.

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

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

Answer: A correct Grade 2 example of Improving the plan.

Worked Example 8

Problem: Use 7 and 4 to make a simple example about Improving the plan.

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

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

Answer: A correct Grade 2 example of Improving the plan.

Worked Example 9

Problem: Use 15 and 17 to make a simple example about Improving the plan.

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

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

Answer: A correct Grade 2 example of Improving the plan.

Worked Example 10

Problem: Use 15 and 14 to make a simple example about Improving the plan.

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

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

Answer: A correct Grade 2 example of Improving the plan.

40.12 Presenting a recommendation

Presenting a recommendation 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 15 to make a simple example about Presenting a recommendation.

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

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

Answer: A correct Grade 2 example of Presenting a recommendation.

Worked Example 2

Problem: Use 1 and 11 to make a simple example about Presenting a recommendation.

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

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

Answer: A correct Grade 2 example of Presenting a recommendation.

Worked Example 3

Problem: Use 1 and 1 to make a simple example about Presenting a recommendation.

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

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

Answer: A correct Grade 2 example of Presenting a recommendation.

Worked Example 4

Problem: Use 14 and 3 to make a simple example about Presenting a recommendation.

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

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

Answer: A correct Grade 2 example of Presenting a recommendation.

Worked Example 5

Problem: Use 8 and 18 to make a simple example about Presenting a recommendation.

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

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

Answer: A correct Grade 2 example of Presenting a recommendation.

Worked Example 6

Problem: Use 15 and 17 to make a simple example about Presenting a recommendation.

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

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

Answer: A correct Grade 2 example of Presenting a recommendation.

Worked Example 7

Problem: Use 19 and 6 to make a simple example about Presenting a recommendation.

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

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

Answer: A correct Grade 2 example of Presenting a recommendation.

Worked Example 8

Problem: Use 10 and 7 to make a simple example about Presenting a recommendation.

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

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

Answer: A correct Grade 2 example of Presenting a recommendation.

Worked Example 9

Problem: Use 5 and 4 to make a simple example about Presenting a recommendation.

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

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

Answer: A correct Grade 2 example of Presenting a recommendation.

Worked Example 10

Problem: Use 11 and 8 to make a simple example about Presenting a recommendation.

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

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

Answer: A correct Grade 2 example of Presenting a recommendation.

30 Review Questions and Answers

Q1. What should a Grade 2 learner understand about Understanding the breakfast problem?

Answer: Mathematical modelling uses numbers, drawings, tables, and comparisons to solve a real situation and explain a choice.

Q2. What should a Grade 2 learner understand about Listing food choices?

Answer: Listing food choices 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 class preferences?

Answer: Collecting class preferences 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 Counting votes?

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

Q5. What should a Grade 2 learner understand about Comparing popular choices?

Answer: Comparing popular choices 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 Planning equal servings?

Answer: Planning equal servings 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 addition for totals?

Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.

Q8. What should a Grade 2 learner understand about Using simple costs with whole dollars?

Answer: Money amounts can be represented in different ways. Different combinations of coins and bills can have the same value.

Q9. What should a Grade 2 learner understand about Checking that enough servings are planned?

Answer: Checking that enough servings are planned 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 Comparing two plans?

Answer: Comparing two plans 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 Improving the plan?

Answer: Improving the plan 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 Presenting a recommendation?

Answer: Presenting a recommendation 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 the breakfast problem?

Answer: Mathematical modelling uses numbers, drawings, tables, and comparisons to solve a real situation and explain a choice.

Q14. What should a Grade 2 learner understand about Listing food choices?

Answer: Listing food choices 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 class preferences?

Answer: Collecting class preferences 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 Counting votes?

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

Q17. What should a Grade 2 learner understand about Comparing popular choices?

Answer: Comparing popular choices 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 Planning equal servings?

Answer: Planning equal servings 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 addition for totals?

Answer: Addition combines quantities. Counting on, making ten, drawings, and place value can help.

Q20. What should a Grade 2 learner understand about Using simple costs with whole dollars?

Answer: Money amounts can be represented in different ways. Different combinations of coins and bills can have the same value.

Q21. What should a Grade 2 learner understand about Checking that enough servings are planned?

Answer: Checking that enough servings are planned 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 Comparing two plans?

Answer: Comparing two plans 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 Improving the plan?

Answer: Improving the plan 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 Presenting a recommendation?

Answer: Presenting a recommendation 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 the breakfast problem?

Answer: Mathematical modelling uses numbers, drawings, tables, and comparisons to solve a real situation and explain a choice.

Q26. What should a Grade 2 learner understand about Listing food choices?

Answer: Listing food choices 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 class preferences?

Answer: Collecting class preferences 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 Counting votes?

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

Q29. What should a Grade 2 learner understand about Comparing popular choices?

Answer: Comparing popular choices 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 Planning equal servings?

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