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Chapter 32: Repeating Patterns

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 Repeating Patterns with simple explanations, visual thinking, worked examples, practice, and review.

32.1 Finding what repeats

Finding what repeats 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 13 to make a simple example about Finding what repeats.

  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 what repeats.

Worked Example 2

Problem: Use 2 and 20 to make a simple example about Finding what repeats.

  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 what repeats.

Worked Example 3

Problem: Use 7 and 7 to make a simple example about Finding what repeats.

  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 what repeats.

Worked Example 4

Problem: Use 10 and 12 to make a simple example about Finding what repeats.

  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 what repeats.

Worked Example 5

Problem: Use 14 and 4 to make a simple example about Finding what repeats.

  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 what repeats.

Worked Example 6

Problem: Use 7 and 16 to make a simple example about Finding what repeats.

  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 what repeats.

Worked Example 7

Problem: Use 4 and 2 to make a simple example about Finding what repeats.

  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 what repeats.

Worked Example 8

Problem: Use 7 and 18 to make a simple example about Finding what repeats.

  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 what repeats.

Worked Example 9

Problem: Use 15 and 9 to make a simple example about Finding what repeats.

  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 what repeats.

Worked Example 10

Problem: Use 4 and 18 to make a simple example about Finding what repeats.

  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 what repeats.

32.2 Pattern core

A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 40, 45, 50, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 55, 60

Worked Example 2

Problem: Continue 19, 20, 21, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 22, 23

Worked Example 3

Problem: Continue 38, 40, 42, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 44, 46

Worked Example 4

Problem: Continue 5, 15, 25, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 35, 45

Worked Example 5

Problem: Continue 1, 2, 3, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 4, 5

Worked Example 6

Problem: Continue 38, 40, 42, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 44, 46

Worked Example 7

Problem: Continue 37, 42, 47, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 52, 57

Worked Example 8

Problem: Continue 20, 21, 22, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 23, 24

Worked Example 9

Problem: Continue 35, 37, 39, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 41, 43

Worked Example 10

Problem: Continue 9, 19, 29, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 39, 49

32.3 Shape patterns

A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 14, 15, 16, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 17, 18

Worked Example 2

Problem: Continue 21, 26, 31, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 36, 41

Worked Example 3

Problem: Continue 39, 44, 49, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 54, 59

Worked Example 4

Problem: Continue 38, 39, 40, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 41, 42

Worked Example 5

Problem: Continue 27, 37, 47, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 57, 67

Worked Example 6

Problem: Continue 22, 32, 42, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 52, 62

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 19, 24, 29, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 34, 39

Worked Example 9

Problem: Continue 3, 4, 5, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 6, 7

Worked Example 10

Problem: Continue 1, 11, 21, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 31, 41

32.4 Colour patterns

A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 39, 41, 43, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 45, 47

Worked Example 2

Problem: Continue 37, 47, 57, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 67, 77

Worked Example 3

Problem: Continue 5, 7, 9, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 11, 13

Worked Example 4

Problem: Continue 28, 38, 48, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 58, 68

Worked Example 5

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 6

Problem: Continue 35, 36, 37, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 38, 39

Worked Example 7

Problem: Continue 36, 41, 46, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 51, 56

Worked Example 8

Problem: Continue 3, 5, 7, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 9, 11

Worked Example 9

Problem: Continue 17, 18, 19, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 20, 21

Worked Example 10

Problem: Continue 18, 28, 38, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 48, 58

32.5 Number patterns

A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 0, 5, 10, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 15, 20

Worked Example 2

Problem: Continue 24, 29, 34, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 39, 44

Worked Example 3

Problem: Continue 36, 41, 46, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 51, 56

Worked Example 4

Problem: Continue 1, 2, 3, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 4, 5

Worked Example 5

Problem: Continue 26, 36, 46, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 56, 66

Worked Example 6

Problem: Continue 5, 7, 9, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 11, 13

Worked Example 7

Problem: Continue 11, 16, 21, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 26, 31

Worked Example 8

Problem: Continue 24, 25, 26, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 27, 28

Worked Example 9

Problem: Continue 16, 21, 26, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 31, 36

Worked Example 10

Problem: Continue 12, 22, 32, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 42, 52

32.6 Sound or action patterns

A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 17, 19, 21, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 23, 25

Worked Example 2

Problem: Continue 30, 32, 34, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 36, 38

Worked Example 3

Problem: Continue 24, 34, 44, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 54, 64

Worked Example 4

Problem: Continue 22, 32, 42, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 52, 62

Worked Example 5

Problem: Continue 6, 8, 10, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 12, 14

Worked Example 6

Problem: Continue 31, 33, 35, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 37, 39

Worked Example 7

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 8

Problem: Continue 5, 7, 9, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 11, 13

Worked Example 9

Problem: Continue 15, 17, 19, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 21, 23

Worked Example 10

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

32.7 Extending a repeating pattern

A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 1, 11, 21, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 31, 41

Worked Example 2

Problem: Continue 17, 19, 21, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 23, 25

Worked Example 3

Problem: Continue 19, 20, 21, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 22, 23

Worked Example 4

Problem: Continue 4, 9, 14, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 19, 24

Worked Example 5

Problem: Continue 0, 10, 20, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 30, 40

Worked Example 6

Problem: Continue 38, 43, 48, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 53, 58

Worked Example 7

Problem: Continue 16, 21, 26, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 31, 36

Worked Example 8

Problem: Continue 2, 7, 12, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 17, 22

Worked Example 9

Problem: Continue 18, 23, 28, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 33, 38

Worked Example 10

Problem: Continue 11, 16, 21, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 26, 31

32.8 Finding missing parts

Finding missing parts 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 2 to make a simple example about Finding missing parts.

  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 missing parts.

Worked Example 2

Problem: Use 3 and 2 to make a simple example about Finding missing parts.

  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 missing parts.

Worked Example 3

Problem: Use 6 and 19 to make a simple example about Finding missing parts.

  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 missing parts.

Worked Example 4

Problem: Use 14 and 9 to make a simple example about Finding missing parts.

  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 missing parts.

Worked Example 5

Problem: Use 2 and 3 to make a simple example about Finding missing parts.

  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 missing parts.

Worked Example 6

Problem: Use 2 and 7 to make a simple example about Finding missing parts.

  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 missing parts.

Worked Example 7

Problem: Use 8 and 12 to make a simple example about Finding missing parts.

  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 missing parts.

Worked Example 8

Problem: Use 19 and 6 to make a simple example about Finding missing parts.

  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 missing parts.

Worked Example 9

Problem: Use 3 and 13 to make a simple example about Finding missing parts.

  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 missing parts.

Worked Example 10

Problem: Use 15 and 8 to make a simple example about Finding missing parts.

  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 missing parts.

32.9 Creating a repeating pattern

A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 26, 36, 46, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 56, 66

Worked Example 2

Problem: Continue 12, 14, 16, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 18, 20

Worked Example 3

Problem: Continue 19, 20, 21, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 22, 23

Worked Example 4

Problem: Continue 12, 14, 16, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 18, 20

Worked Example 5

Problem: Continue 40, 45, 50, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 55, 60

Worked Example 6

Problem: Continue 11, 12, 13, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 14, 15

Worked Example 7

Problem: Continue 14, 16, 18, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 20, 22

Worked Example 8

Problem: Continue 18, 23, 28, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 33, 38

Worked Example 9

Problem: Continue 11, 13, 15, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 17, 19

Worked Example 10

Problem: Continue 12, 22, 32, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 42, 52

32.10 Describing a pattern rule

A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 26, 36, 46, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 56, 66

Worked Example 2

Problem: Continue 17, 19, 21, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 23, 25

Worked Example 3

Problem: Continue 9, 11, 13, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 15, 17

Worked Example 4

Problem: Continue 20, 21, 22, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 23, 24

Worked Example 5

Problem: Continue 18, 19, 20, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 21, 22

Worked Example 6

Problem: Continue 9, 14, 19, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 24, 29

Worked Example 7

Problem: Continue 8, 18, 28, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 38, 48

Worked Example 8

Problem: Continue 20, 22, 24, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 26, 28

Worked Example 9

Problem: Continue 10, 11, 12, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 13, 14

Worked Example 10

Problem: Continue 7, 9, 11, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 13, 15

32.11 Repeating patterns in calendars

A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 25, 35, 45, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 55, 65

Worked Example 2

Problem: Continue 24, 26, 28, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 30, 32

Worked Example 3

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 4

Problem: Continue 28, 38, 48, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 58, 68

Worked Example 5

Problem: Continue 2, 4, 6, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 8, 10

Worked Example 6

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 7

Problem: Continue 16, 26, 36, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 46, 56

Worked Example 8

Problem: Continue 39, 49, 59, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 69, 79

Worked Example 9

Problem: Continue 11, 12, 13, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 14, 15

Worked Example 10

Problem: Continue 19, 29, 39, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 49, 59

32.12 Checking a repeating pattern

A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way. Use objects, drawings, number lines, tables, or number sentences when useful.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 14, 19, 24, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 29, 34

Worked Example 2

Problem: Continue 31, 32, 33, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 34, 35

Worked Example 3

Problem: Continue 40, 45, 50, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 55, 60

Worked Example 4

Problem: Continue 7, 9, 11, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 13, 15

Worked Example 5

Problem: Continue 14, 15, 16, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 17, 18

Worked Example 6

Problem: Continue 11, 21, 31, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 41, 51

Worked Example 7

Problem: Continue 7, 9, 11, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 13, 15

Worked Example 8

Problem: Continue 19, 20, 21, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 22, 23

Worked Example 9

Problem: Continue 5, 10, 15, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 20, 25

Worked Example 10

Problem: Continue 1, 2, 3, ...

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

Very beginner explanation: Counting patterns use a consistent step.

Answer: 4, 5

30 Review Questions and Answers

Q1. What should a Grade 2 learner understand about Finding what repeats?

Answer: Finding what repeats 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 Pattern core?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q3. What should a Grade 2 learner understand about Shape patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q4. What should a Grade 2 learner understand about Colour patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q5. What should a Grade 2 learner understand about Number patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q6. What should a Grade 2 learner understand about Sound or action patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q7. What should a Grade 2 learner understand about Extending a repeating pattern?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q8. What should a Grade 2 learner understand about Finding missing parts?

Answer: Finding missing parts 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 Creating a repeating pattern?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q10. What should a Grade 2 learner understand about Describing a pattern rule?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q11. What should a Grade 2 learner understand about Repeating patterns in calendars?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q12. What should a Grade 2 learner understand about Checking a repeating pattern?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q13. What should a Grade 2 learner understand about Finding what repeats?

Answer: Finding what repeats 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 Pattern core?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q15. What should a Grade 2 learner understand about Shape patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q16. What should a Grade 2 learner understand about Colour patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q17. What should a Grade 2 learner understand about Number patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q18. What should a Grade 2 learner understand about Sound or action patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q19. What should a Grade 2 learner understand about Extending a repeating pattern?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q20. What should a Grade 2 learner understand about Finding missing parts?

Answer: Finding missing parts 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 Creating a repeating pattern?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q22. What should a Grade 2 learner understand about Describing a pattern rule?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q23. What should a Grade 2 learner understand about Repeating patterns in calendars?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q24. What should a Grade 2 learner understand about Checking a repeating pattern?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q25. What should a Grade 2 learner understand about Finding what repeats?

Answer: Finding what repeats 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 Pattern core?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q27. What should a Grade 2 learner understand about Shape patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q28. What should a Grade 2 learner understand about Colour patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q29. What should a Grade 2 learner understand about Number patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.

Q30. What should a Grade 2 learner understand about Sound or action patterns?

Answer: A pattern follows a rule. Repeating patterns repeat a core; growing patterns change in a predictable way.