EASYTUTORGUIDE

Practical tutorials, tools, courses, digital skills, and business promotion.

Free Learning
Google Translate — English / فارسی / العربية
EasyTutorGuide LogoLearn, Build, & Grow

Chapter 29: Repeating Patterns

Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.

Grade 4Beginner Friendly10 Examples Per Topic30 Q&APractice + Review
Estimated reading time0% read
Advertisement area — AdSense / Auto Ads

Chapter Overview

This chapter teaches Repeating Patterns in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.

29.1 Identifying a repeating pattern

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 9, 12, 15, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 18, 21

Worked Example 2

Problem: Continue 10, 13, 16, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 19, 22

Worked Example 3

Problem: Continue 2, 5, 8, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 11, 14

Worked Example 4

Problem: Continue 9, 13, 17, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 21, 25

Worked Example 5

Problem: Continue 5, 8, 11, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 14, 17

Worked Example 6

Problem: Continue 3, 6, 9, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 12, 15

Worked Example 7

Problem: Continue 9, 11, 13, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 15, 17

Worked Example 8

Problem: Continue 6, 8, 10, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 12, 14

Worked Example 9

Problem: Continue 5, 11, 17, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 23, 29

Worked Example 10

Problem: Continue 4, 6, 8, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 10, 12

Practice Exercise

Create and solve one new example of Identifying a repeating pattern. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

29.2 Finding the pattern core

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 10, 16, 22, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 28, 34

Worked Example 2

Problem: Continue 1, 3, 5, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 7, 9

Worked Example 3

Problem: Continue 10, 12, 14, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 16, 18

Worked Example 4

Problem: Continue 8, 10, 12, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 14, 16

Worked Example 5

Problem: Continue 4, 10, 16, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 22, 28

Worked Example 6

Problem: Continue 6, 9, 12, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 15, 18

Worked Example 7

Problem: Continue 6, 8, 10, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 12, 14

Worked Example 8

Problem: Continue 4, 7, 10, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 13, 16

Worked Example 9

Problem: Continue 7, 10, 13, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 16, 19

Worked Example 10

Problem: Continue 1, 4, 7, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 10, 13

Practice Exercise

Create and solve one new example of Finding the pattern core. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

29.3 Repeating shape patterns

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 6, 11, 16, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 21, 26

Worked Example 2

Problem: Continue 8, 11, 14, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 17, 20

Worked Example 3

Problem: Continue 3, 9, 15, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 21, 27

Worked Example 4

Problem: Continue 9, 12, 15, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 18, 21

Worked Example 5

Problem: Continue 10, 15, 20, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 25, 30

Worked Example 6

Problem: Continue 7, 12, 17, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 22, 27

Worked Example 7

Problem: Continue 6, 8, 10, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 12, 14

Worked Example 8

Problem: Continue 2, 8, 14, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 20, 26

Worked Example 9

Problem: Continue 7, 12, 17, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 22, 27

Worked Example 10

Problem: Continue 3, 7, 11, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 15, 19

Practice Exercise

Create and solve one new example of Repeating shape patterns. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

29.4 Repeating number patterns

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 3, 6, 9, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 12, 15

Worked Example 2

Problem: Continue 2, 6, 10, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 14, 18

Worked Example 3

Problem: Continue 9, 13, 17, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 21, 25

Worked Example 4

Problem: Continue 7, 12, 17, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 22, 27

Worked Example 5

Problem: Continue 6, 11, 16, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 21, 26

Worked Example 6

Problem: Continue 3, 7, 11, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 15, 19

Worked Example 7

Problem: Continue 5, 11, 17, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 23, 29

Worked Example 8

Problem: Continue 5, 8, 11, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 14, 17

Worked Example 9

Problem: Continue 7, 9, 11, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 13, 15

Worked Example 10

Problem: Continue 2, 8, 14, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 20, 26

Practice Exercise

Create and solve one new example of Repeating number patterns. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

29.5 Patterns with more than one attribute

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 9, 14, 19, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 24, 29

Worked Example 2

Problem: Continue 10, 14, 18, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 22, 26

Worked Example 3

Problem: Continue 7, 10, 13, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 16, 19

Worked Example 4

Problem: Continue 2, 8, 14, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 20, 26

Worked Example 5

Problem: Continue 6, 10, 14, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 18, 22

Worked Example 6

Problem: Continue 6, 8, 10, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 12, 14

Worked Example 7

Problem: Continue 2, 6, 10, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 14, 18

Worked Example 8

Problem: Continue 7, 11, 15, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 19, 23

Worked Example 9

Problem: Continue 2, 5, 8, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 11, 14

Worked Example 10

Problem: Continue 10, 15, 20, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 25, 30

Practice Exercise

Create and solve one new example of Patterns with more than one attribute. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

29.6 Extending a repeating pattern

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 5, 11, 17, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 23, 29

Worked Example 2

Problem: Continue 3, 5, 7, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 9, 11

Worked Example 3

Problem: Continue 8, 14, 20, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 26, 32

Worked Example 4

Problem: Continue 7, 10, 13, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 16, 19

Worked Example 5

Problem: Continue 10, 15, 20, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 25, 30

Worked Example 6

Problem: Continue 5, 9, 13, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 17, 21

Worked Example 7

Problem: Continue 5, 11, 17, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 23, 29

Worked Example 8

Problem: Continue 4, 8, 12, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 16, 20

Worked Example 9

Problem: Continue 4, 7, 10, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 13, 16

Worked Example 10

Problem: Continue 2, 7, 12, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 17, 22

Practice Exercise

Create and solve one new example of Extending a repeating pattern. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

29.7 Finding missing elements

Finding missing elements is an important Grade 4 mathematics idea in Repeating Patterns. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Create a simple Grade 4 example about Finding missing elements using the numbers 12 and 16.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Finding missing elements.

Worked Example 2

Problem: Create a simple Grade 4 example about Finding missing elements using the numbers 8 and 15.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Finding missing elements.

Worked Example 3

Problem: Create a simple Grade 4 example about Finding missing elements using the numbers 6 and 2.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Finding missing elements.

Worked Example 4

Problem: Create a simple Grade 4 example about Finding missing elements using the numbers 15 and 5.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Finding missing elements.

Worked Example 5

Problem: Create a simple Grade 4 example about Finding missing elements using the numbers 8 and 20.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Finding missing elements.

Worked Example 6

Problem: Create a simple Grade 4 example about Finding missing elements using the numbers 2 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Finding missing elements.

Worked Example 7

Problem: Create a simple Grade 4 example about Finding missing elements using the numbers 18 and 15.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Finding missing elements.

Worked Example 8

Problem: Create a simple Grade 4 example about Finding missing elements using the numbers 15 and 7.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Finding missing elements.

Worked Example 9

Problem: Create a simple Grade 4 example about Finding missing elements using the numbers 7 and 13.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Finding missing elements.

Worked Example 10

Problem: Create a simple Grade 4 example about Finding missing elements using the numbers 13 and 8.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Finding missing elements.

Practice Exercise

Create and solve one new example of Finding missing elements. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

29.8 Creating a repeating pattern

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 4, 7, 10, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 13, 16

Worked Example 2

Problem: Continue 1, 7, 13, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 19, 25

Worked Example 3

Problem: Continue 6, 11, 16, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 21, 26

Worked Example 4

Problem: Continue 9, 11, 13, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 15, 17

Worked Example 5

Problem: Continue 8, 12, 16, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 20, 24

Worked Example 6

Problem: Continue 7, 13, 19, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 25, 31

Worked Example 7

Problem: Continue 5, 10, 15, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 20, 25

Worked Example 8

Problem: Continue 4, 7, 10, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 13, 16

Worked Example 9

Problem: Continue 1, 3, 5, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 7, 9

Worked Example 10

Problem: Continue 9, 15, 21, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 27, 33

Practice Exercise

Create and solve one new example of Creating a repeating pattern. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

29.9 Describing a repeating rule

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Create a simple Grade 4 example about Describing a repeating rule using the numbers 5 and 19.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Describing a repeating rule.

Worked Example 2

Problem: Create a simple Grade 4 example about Describing a repeating rule using the numbers 7 and 13.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Describing a repeating rule.

Worked Example 3

Problem: Create a simple Grade 4 example about Describing a repeating rule using the numbers 5 and 4.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Describing a repeating rule.

Worked Example 4

Problem: Create a simple Grade 4 example about Describing a repeating rule using the numbers 3 and 10.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Describing a repeating rule.

Worked Example 5

Problem: Create a simple Grade 4 example about Describing a repeating rule using the numbers 13 and 14.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Describing a repeating rule.

Worked Example 6

Problem: Create a simple Grade 4 example about Describing a repeating rule using the numbers 11 and 5.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Describing a repeating rule.

Worked Example 7

Problem: Create a simple Grade 4 example about Describing a repeating rule using the numbers 13 and 14.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Describing a repeating rule.

Worked Example 8

Problem: Create a simple Grade 4 example about Describing a repeating rule using the numbers 4 and 9.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Describing a repeating rule.

Worked Example 9

Problem: Create a simple Grade 4 example about Describing a repeating rule using the numbers 5 and 10.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Describing a repeating rule.

Worked Example 10

Problem: Create a simple Grade 4 example about Describing a repeating rule using the numbers 3 and 14.

  1. Identify what the topic means.
  2. Use the numbers in a way that follows the rule.
  3. Check that the result or representation makes sense.

Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.

Answer: A correct example that demonstrates Describing a repeating rule.

Practice Exercise

Create and solve one new example of Describing a repeating rule. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

29.10 Using a table for a repeating pattern

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 4, 9, 14, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 19, 24

Worked Example 2

Problem: Continue 8, 11, 14, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 17, 20

Worked Example 3

Problem: Continue 5, 11, 17, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 23, 29

Worked Example 4

Problem: Continue 4, 7, 10, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 13, 16

Worked Example 5

Problem: Continue 8, 11, 14, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 17, 20

Worked Example 6

Problem: Continue 4, 8, 12, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 16, 20

Worked Example 7

Problem: Continue 1, 5, 9, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 13, 17

Worked Example 8

Problem: Continue 1, 6, 11, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 16, 21

Worked Example 9

Problem: Continue 9, 14, 19, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 24, 29

Worked Example 10

Problem: Continue 6, 12, 18, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 24, 30

Practice Exercise

Create and solve one new example of Using a table for a repeating pattern. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

29.11 Repeating patterns in real life

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 3, 5, 7, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 9, 11

Worked Example 2

Problem: Continue 10, 13, 16, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 19, 22

Worked Example 3

Problem: Continue 7, 10, 13, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 16, 19

Worked Example 4

Problem: Continue 10, 14, 18, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 22, 26

Worked Example 5

Problem: Continue 6, 9, 12, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 15, 18

Worked Example 6

Problem: Continue 3, 5, 7, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 9, 11

Worked Example 7

Problem: Continue 4, 6, 8, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 10, 12

Worked Example 8

Problem: Continue 4, 10, 16, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 22, 28

Worked Example 9

Problem: Continue 6, 12, 18, ... for two more terms.

  1. The rule is add 6.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 24, 30

Worked Example 10

Problem: Continue 5, 8, 11, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 14, 17

Practice Exercise

Create and solve one new example of Repeating patterns in real life. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

29.12 Checking whether a pattern truly repeats

A pattern follows a predictable rule. Repeating patterns repeat a core; growing patterns change in a consistent way. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.

Beginner Explanation

First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.

10 Worked Examples with Answers

Worked Example 1

Problem: Continue 7, 12, 17, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 22, 27

Worked Example 2

Problem: Continue 1, 4, 7, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 10, 13

Worked Example 3

Problem: Continue 1, 3, 5, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 7, 9

Worked Example 4

Problem: Continue 7, 9, 11, ... for two more terms.

  1. The rule is add 2.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 13, 15

Worked Example 5

Problem: Continue 8, 12, 16, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 20, 24

Worked Example 6

Problem: Continue 9, 12, 15, ... for two more terms.

  1. The rule is add 3.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 18, 21

Worked Example 7

Problem: Continue 2, 6, 10, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 14, 18

Worked Example 8

Problem: Continue 9, 14, 19, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 24, 29

Worked Example 9

Problem: Continue 2, 7, 12, ... for two more terms.

  1. The rule is add 5.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 17, 22

Worked Example 10

Problem: Continue 4, 8, 12, ... for two more terms.

  1. The rule is add 4.
  2. Apply the same rule twice.

Very beginner explanation: A growing pattern changes according to a consistent rule.

Answer: 16, 20

Practice Exercise

Create and solve one new example of Checking whether a pattern truly repeats. Show the steps and explain how you checked it.

Common Mistake

Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.

Advertisement area — AdSense / Auto Ads

30 Review Questions and Answers

Q1. What is important to understand about Identifying a repeating pattern?

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

Q2. What is important to understand about Finding the pattern core?

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

Q3. What is important to understand about Repeating shape patterns?

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

Q4. What is important to understand about Repeating number patterns?

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

Q5. What is important to understand about Patterns with more than one attribute?

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

Q6. What is important to understand about Extending a repeating pattern?

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

Q7. What is important to understand about Finding missing elements?

Answer: Finding missing elements is an important Grade 4 mathematics idea in Repeating Patterns. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q8. What is important to understand about Creating a repeating pattern?

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

Q9. What is important to understand about Describing a repeating rule?

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

Q10. What is important to understand about Using a table for a repeating pattern?

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

Q11. What is important to understand about Repeating patterns in real life?

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

Q12. What is important to understand about Checking whether a pattern truly repeats?

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

Q13. How would you explain Identifying a repeating pattern?

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

Q14. How would you explain Finding the pattern core?

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

Q15. How would you explain Repeating shape patterns?

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

Q16. How would you explain Repeating number patterns?

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

Q17. How would you explain Patterns with more than one attribute?

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

Q18. How would you explain Extending a repeating pattern?

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

Q19. How would you explain Finding missing elements?

Answer: Finding missing elements is an important Grade 4 mathematics idea in Repeating Patterns. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.

Q20. How would you explain Creating a repeating pattern?

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

Q21. How would you explain Describing a repeating rule?

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

Q22. How would you explain Using a table for a repeating pattern?

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

Q23. How would you explain Repeating patterns in real life?

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

Q24. How would you explain Checking whether a pattern truly repeats?

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

Q25. What should a beginner check when working with Identifying a repeating pattern?

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

Q26. What should a beginner check when working with Finding the pattern core?

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

Q27. What should a beginner check when working with Repeating shape patterns?

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

Q28. What should a beginner check when working with Repeating number patterns?

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

Q29. What should a beginner check when working with Patterns with more than one attribute?

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

Q30. What should a beginner check when working with Extending a repeating pattern?

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