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Chapter 25: Equality and Balanced Number Sentences

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 Equality and Balanced Number Sentences with simple explanations, visual thinking, worked examples, practice, and review.

25.1 Meaning of the equal sign

Meaning of the equal sign 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 2 to make a simple example about Meaning of the equal sign.

  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 Meaning of the equal sign.

Worked Example 2

Problem: Use 2 and 7 to make a simple example about Meaning of the equal sign.

  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 Meaning of the equal sign.

Worked Example 3

Problem: Use 10 and 1 to make a simple example about Meaning of the equal sign.

  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 Meaning of the equal sign.

Worked Example 4

Problem: Use 17 and 1 to make a simple example about Meaning of the equal sign.

  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 Meaning of the equal sign.

Worked Example 5

Problem: Use 9 and 19 to make a simple example about Meaning of the equal sign.

  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 Meaning of the equal sign.

Worked Example 6

Problem: Use 13 and 3 to make a simple example about Meaning of the equal sign.

  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 Meaning of the equal sign.

Worked Example 7

Problem: Use 4 and 12 to make a simple example about Meaning of the equal sign.

  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 Meaning of the equal sign.

Worked Example 8

Problem: Use 2 and 7 to make a simple example about Meaning of the equal sign.

  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 Meaning of the equal sign.

Worked Example 9

Problem: Use 4 and 15 to make a simple example about Meaning of the equal sign.

  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 Meaning of the equal sign.

Worked Example 10

Problem: Use 11 and 14 to make a simple example about Meaning of the equal sign.

  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 Meaning of the equal sign.

25.2 Both sides have the same value

Both sides have the same value 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 16 to make a simple example about Both sides have the same value.

  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 Both sides have the same value.

Worked Example 2

Problem: Use 7 and 18 to make a simple example about Both sides have the same value.

  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 Both sides have the same value.

Worked Example 3

Problem: Use 3 and 20 to make a simple example about Both sides have the same value.

  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 Both sides have the same value.

Worked Example 4

Problem: Use 11 and 15 to make a simple example about Both sides have the same value.

  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 Both sides have the same value.

Worked Example 5

Problem: Use 4 and 20 to make a simple example about Both sides have the same value.

  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 Both sides have the same value.

Worked Example 6

Problem: Use 15 and 1 to make a simple example about Both sides have the same value.

  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 Both sides have the same value.

Worked Example 7

Problem: Use 11 and 7 to make a simple example about Both sides have the same value.

  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 Both sides have the same value.

Worked Example 8

Problem: Use 13 and 8 to make a simple example about Both sides have the same value.

  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 Both sides have the same value.

Worked Example 9

Problem: Use 14 and 6 to make a simple example about Both sides have the same value.

  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 Both sides have the same value.

Worked Example 10

Problem: Use 9 and 7 to make a simple example about Both sides have the same value.

  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 Both sides have the same value.

25.3 True number sentences

True number sentences 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 2 to make a simple example about True number sentences.

  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 True number sentences.

Worked Example 2

Problem: Use 1 and 16 to make a simple example about True number sentences.

  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 True number sentences.

Worked Example 3

Problem: Use 7 and 20 to make a simple example about True number sentences.

  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 True number sentences.

Worked Example 4

Problem: Use 11 and 19 to make a simple example about True number sentences.

  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 True number sentences.

Worked Example 5

Problem: Use 11 and 6 to make a simple example about True number sentences.

  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 True number sentences.

Worked Example 6

Problem: Use 15 and 5 to make a simple example about True number sentences.

  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 True number sentences.

Worked Example 7

Problem: Use 11 and 1 to make a simple example about True number sentences.

  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 True number sentences.

Worked Example 8

Problem: Use 14 and 3 to make a simple example about True number sentences.

  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 True number sentences.

Worked Example 9

Problem: Use 10 and 4 to make a simple example about True number sentences.

  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 True number sentences.

Worked Example 10

Problem: Use 7 and 8 to make a simple example about True number sentences.

  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 True number sentences.

25.4 False number sentences

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

10 Worked Examples with Answers

Worked Example 1

Problem: Use 19 and 15 to make a simple example about False number sentences.

  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 False number sentences.

Worked Example 2

Problem: Use 18 and 10 to make a simple example about False number sentences.

  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 False number sentences.

Worked Example 3

Problem: Use 15 and 2 to make a simple example about False number sentences.

  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 False number sentences.

Worked Example 4

Problem: Use 7 and 17 to make a simple example about False number sentences.

  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 False number sentences.

Worked Example 5

Problem: Use 7 and 20 to make a simple example about False number sentences.

  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 False number sentences.

Worked Example 6

Problem: Use 20 and 15 to make a simple example about False number sentences.

  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 False number sentences.

Worked Example 7

Problem: Use 20 and 20 to make a simple example about False number sentences.

  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 False number sentences.

Worked Example 8

Problem: Use 9 and 20 to make a simple example about False number sentences.

  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 False number sentences.

Worked Example 9

Problem: Use 13 and 8 to make a simple example about False number sentences.

  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 False number sentences.

Worked Example 10

Problem: Use 2 and 7 to make a simple example about False number sentences.

  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 False number sentences.

25.5 Balancing addition statements

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 19 + 46.

  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: 65

Worked Example 2

Problem: Find 44 + 46.

  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: 90

Worked Example 3

Problem: Find 23 + 50.

  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: 73

Worked Example 4

Problem: Find 63 + 12.

  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

Worked Example 5

Problem: Find 61 + 65.

  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: 126

Worked Example 6

Problem: Find 56 + 57.

  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: 113

Worked Example 7

Problem: Find 28 + 42.

  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: 70

Worked Example 8

Problem: Find 16 + 25.

  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: 41

Worked Example 9

Problem: Find 44 + 17.

  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: 61

Worked Example 10

Problem: Find 21 + 41.

  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: 62

25.6 Balancing subtraction statements

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

10 Worked Examples with Answers

Worked Example 1

Problem: Find 40 − 13.

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

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

Answer: 27

Worked Example 2

Problem: Find 122 − 62.

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

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

Answer: 60

Worked Example 3

Problem: Find 64 − 29.

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

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

Answer: 35

Worked Example 4

Problem: Find 118 − 18.

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

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

Answer: 100

Worked Example 5

Problem: Find 85 − 34.

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

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

Answer: 51

Worked Example 6

Problem: Find 36 − 33.

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

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

Answer: 3

Worked Example 7

Problem: Find 49 − 10.

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

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

Answer: 39

Worked Example 8

Problem: Find 53 − 27.

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

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

Answer: 26

Worked Example 9

Problem: Find 72 − 67.

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

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

Answer: 5

Worked Example 10

Problem: Find 48 − 8.

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

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

Answer: 40

25.7 Finding a missing number

Finding a missing number 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 4 and 5 to make a simple example about Finding a missing number.

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

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

Answer: A correct Grade 2 example of Finding a missing number.

Worked Example 2

Problem: Use 8 and 18 to make a simple example about Finding a missing number.

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

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

Answer: A correct Grade 2 example of Finding a missing number.

Worked Example 3

Problem: Use 18 and 1 to make a simple example about Finding a missing number.

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

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

Answer: A correct Grade 2 example of Finding a missing number.

Worked Example 4

Problem: Use 12 and 9 to make a simple example about Finding a missing number.

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

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

Answer: A correct Grade 2 example of Finding a missing number.

Worked Example 5

Problem: Use 12 and 10 to make a simple example about Finding a missing number.

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

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

Answer: A correct Grade 2 example of Finding a missing number.

Worked Example 6

Problem: Use 11 and 13 to make a simple example about Finding a missing number.

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

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

Answer: A correct Grade 2 example of Finding a missing number.

Worked Example 7

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

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

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

Answer: A correct Grade 2 example of Finding a missing number.

Worked Example 8

Problem: Use 5 and 17 to make a simple example about Finding a missing number.

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

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

Answer: A correct Grade 2 example of Finding a missing number.

Worked Example 9

Problem: Use 12 and 12 to make a simple example about Finding a missing number.

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

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

Answer: A correct Grade 2 example of Finding a missing number.

Worked Example 10

Problem: Use 20 and 4 to make a simple example about Finding a missing number.

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

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

Answer: A correct Grade 2 example of Finding a missing number.

25.8 Different expressions with equal values

Different expressions with equal values 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 20 to make a simple example about Different expressions with equal values.

  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 Different expressions with equal values.

Worked Example 2

Problem: Use 11 and 17 to make a simple example about Different expressions with equal values.

  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 Different expressions with equal values.

Worked Example 3

Problem: Use 9 and 1 to make a simple example about Different expressions with equal values.

  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 Different expressions with equal values.

Worked Example 4

Problem: Use 17 and 8 to make a simple example about Different expressions with equal values.

  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 Different expressions with equal values.

Worked Example 5

Problem: Use 12 and 1 to make a simple example about Different expressions with equal values.

  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 Different expressions with equal values.

Worked Example 6

Problem: Use 4 and 3 to make a simple example about Different expressions with equal values.

  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 Different expressions with equal values.

Worked Example 7

Problem: Use 9 and 17 to make a simple example about Different expressions with equal values.

  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 Different expressions with equal values.

Worked Example 8

Problem: Use 17 and 1 to make a simple example about Different expressions with equal values.

  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 Different expressions with equal values.

Worked Example 9

Problem: Use 8 and 11 to make a simple example about Different expressions with equal values.

  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 Different expressions with equal values.

Worked Example 10

Problem: Use 20 and 18 to make a simple example about Different expressions with equal values.

  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 Different expressions with equal values.

25.9 Adjusting one side to make equality

Equality means both sides have the same value. An unknown is the number needed to make a statement true. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Find □: □ + 10 = 19.

  1. Find the missing part.
  2. Use subtraction if helpful.

Very beginner explanation: The unknown must make both sides equal.

Answer: 9

Worked Example 2

Problem: Find □: □ + 4 = 13.

  1. Find the missing part.
  2. Use subtraction if helpful.

Very beginner explanation: The unknown must make both sides equal.

Answer: 9

Worked Example 3

Problem: Find □: □ + 9 = 21.

  1. Find the missing part.
  2. Use subtraction if helpful.

Very beginner explanation: The unknown must make both sides equal.

Answer: 12

Worked Example 4

Problem: Find □: □ + 6 = 9.

  1. Find the missing part.
  2. Use subtraction if helpful.

Very beginner explanation: The unknown must make both sides equal.

Answer: 3

Worked Example 5

Problem: Find □: □ + 10 = 21.

  1. Find the missing part.
  2. Use subtraction if helpful.

Very beginner explanation: The unknown must make both sides equal.

Answer: 11

Worked Example 6

Problem: Find □: □ + 2 = 7.

  1. Find the missing part.
  2. Use subtraction if helpful.

Very beginner explanation: The unknown must make both sides equal.

Answer: 5

Worked Example 7

Problem: Find □: □ + 7 = 9.

  1. Find the missing part.
  2. Use subtraction if helpful.

Very beginner explanation: The unknown must make both sides equal.

Answer: 2

Worked Example 8

Problem: Find □: □ + 10 = 24.

  1. Find the missing part.
  2. Use subtraction if helpful.

Very beginner explanation: The unknown must make both sides equal.

Answer: 14

Worked Example 9

Problem: Find □: □ + 1 = 16.

  1. Find the missing part.
  2. Use subtraction if helpful.

Very beginner explanation: The unknown must make both sides equal.

Answer: 15

Worked Example 10

Problem: Find □: □ + 2 = 17.

  1. Find the missing part.
  2. Use subtraction if helpful.

Very beginner explanation: The unknown must make both sides equal.

Answer: 15

25.10 Using a balance model

Using a balance model 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 4 and 9 to make a simple example about Using a balance model.

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

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

Answer: A correct Grade 2 example of Using a balance model.

Worked Example 2

Problem: Use 8 and 1 to make a simple example about Using a balance model.

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

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

Answer: A correct Grade 2 example of Using a balance model.

Worked Example 3

Problem: Use 2 and 4 to make a simple example about Using a balance model.

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

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

Answer: A correct Grade 2 example of Using a balance model.

Worked Example 4

Problem: Use 15 and 7 to make a simple example about Using a balance model.

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

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

Answer: A correct Grade 2 example of Using a balance model.

Worked Example 5

Problem: Use 2 and 16 to make a simple example about Using a balance model.

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

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

Answer: A correct Grade 2 example of Using a balance model.

Worked Example 6

Problem: Use 17 and 5 to make a simple example about Using a balance model.

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

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

Answer: A correct Grade 2 example of Using a balance model.

Worked Example 7

Problem: Use 3 and 19 to make a simple example about Using a balance model.

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

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

Answer: A correct Grade 2 example of Using a balance model.

Worked Example 8

Problem: Use 5 and 16 to make a simple example about Using a balance model.

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

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

Answer: A correct Grade 2 example of Using a balance model.

Worked Example 9

Problem: Use 12 and 13 to make a simple example about Using a balance model.

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

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

Answer: A correct Grade 2 example of Using a balance model.

Worked Example 10

Problem: Use 2 and 2 to make a simple example about Using a balance model.

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

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

Answer: A correct Grade 2 example of Using a balance model.

25.11 Explaining why an equation is true

Explaining why an equation is true 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 9 to make a simple example about Explaining why an equation is true.

  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 Explaining why an equation is true.

Worked Example 2

Problem: Use 9 and 5 to make a simple example about Explaining why an equation is true.

  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 Explaining why an equation is true.

Worked Example 3

Problem: Use 5 and 11 to make a simple example about Explaining why an equation is true.

  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 Explaining why an equation is true.

Worked Example 4

Problem: Use 12 and 8 to make a simple example about Explaining why an equation is true.

  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 Explaining why an equation is true.

Worked Example 5

Problem: Use 6 and 19 to make a simple example about Explaining why an equation is true.

  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 Explaining why an equation is true.

Worked Example 6

Problem: Use 12 and 19 to make a simple example about Explaining why an equation is true.

  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 Explaining why an equation is true.

Worked Example 7

Problem: Use 3 and 18 to make a simple example about Explaining why an equation is true.

  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 Explaining why an equation is true.

Worked Example 8

Problem: Use 13 and 3 to make a simple example about Explaining why an equation is true.

  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 Explaining why an equation is true.

Worked Example 9

Problem: Use 12 and 19 to make a simple example about Explaining why an equation is true.

  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 Explaining why an equation is true.

Worked Example 10

Problem: Use 19 and 12 to make a simple example about Explaining why an equation is true.

  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 Explaining why an equation is true.

25.12 Common equal-sign mistakes

Common equal-sign mistakes is a Grade 2 math idea best learned with simple numbers, objects, drawings, and clear words. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Use 4 and 17 to make a simple example about Common equal-sign mistakes.

  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 Common equal-sign mistakes.

Worked Example 2

Problem: Use 9 and 20 to make a simple example about Common equal-sign mistakes.

  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 Common equal-sign mistakes.

Worked Example 3

Problem: Use 12 and 2 to make a simple example about Common equal-sign mistakes.

  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 Common equal-sign mistakes.

Worked Example 4

Problem: Use 10 and 16 to make a simple example about Common equal-sign mistakes.

  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 Common equal-sign mistakes.

Worked Example 5

Problem: Use 17 and 10 to make a simple example about Common equal-sign mistakes.

  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 Common equal-sign mistakes.

Worked Example 6

Problem: Use 17 and 16 to make a simple example about Common equal-sign mistakes.

  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 Common equal-sign mistakes.

Worked Example 7

Problem: Use 10 and 7 to make a simple example about Common equal-sign mistakes.

  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 Common equal-sign mistakes.

Worked Example 8

Problem: Use 4 and 2 to make a simple example about Common equal-sign mistakes.

  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 Common equal-sign mistakes.

Worked Example 9

Problem: Use 6 and 15 to make a simple example about Common equal-sign mistakes.

  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 Common equal-sign mistakes.

Worked Example 10

Problem: Use 3 and 15 to make a simple example about Common equal-sign mistakes.

  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 Common equal-sign mistakes.

30 Review Questions and Answers

Q1. What should a Grade 2 learner understand about Meaning of the equal sign?

Answer: Meaning of the equal sign 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 Both sides have the same value?

Answer: Both sides have the same value 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 True number sentences?

Answer: True number sentences 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 False number sentences?

Answer: False number sentences 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 Balancing addition statements?

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

Q6. What should a Grade 2 learner understand about Balancing subtraction statements?

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

Q7. What should a Grade 2 learner understand about Finding a missing number?

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

Q8. What should a Grade 2 learner understand about Different expressions with equal values?

Answer: Different expressions with equal values 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 Adjusting one side to make equality?

Answer: Equality means both sides have the same value. An unknown is the number needed to make a statement true.

Q10. What should a Grade 2 learner understand about Using a balance model?

Answer: Using a balance model 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 why an equation is true?

Answer: Explaining why an equation is true 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 Common equal-sign mistakes?

Answer: Common equal-sign mistakes 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 Meaning of the equal sign?

Answer: Meaning of the equal sign 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 Both sides have the same value?

Answer: Both sides have the same value 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 True number sentences?

Answer: True number sentences 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 False number sentences?

Answer: False number sentences 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 Balancing addition statements?

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

Q18. What should a Grade 2 learner understand about Balancing subtraction statements?

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

Q19. What should a Grade 2 learner understand about Finding a missing number?

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

Q20. What should a Grade 2 learner understand about Different expressions with equal values?

Answer: Different expressions with equal values 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 Adjusting one side to make equality?

Answer: Equality means both sides have the same value. An unknown is the number needed to make a statement true.

Q22. What should a Grade 2 learner understand about Using a balance model?

Answer: Using a balance model 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 why an equation is true?

Answer: Explaining why an equation is true 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 Common equal-sign mistakes?

Answer: Common equal-sign mistakes 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 Meaning of the equal sign?

Answer: Meaning of the equal sign 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 Both sides have the same value?

Answer: Both sides have the same value 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 True number sentences?

Answer: True number sentences 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 False number sentences?

Answer: False number sentences 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 Balancing addition statements?

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

Q30. What should a Grade 2 learner understand about Balancing subtraction statements?

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