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Chapter 30: Growing 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
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Chapter Overview

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

30.1 Identifying a growing 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 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 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 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 4

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 5

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 6

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 7

Problem: Continue 3, 8, 13, ... 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: 18, 23

Worked Example 8

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 9

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 10

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

Practice Exercise

Create and solve one new example of Identifying a growing 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.

30.2 Growing 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 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 2

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 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 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 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 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 7

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 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, 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 10

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

Practice Exercise

Create and solve one new example of Growing 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.

30.3 Growing 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 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 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 3

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 4

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 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 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 7

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 8

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

Worked Example 9

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 10

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

Practice Exercise

Create and solve one new example of Growing 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.

30.4 Finding how much a pattern grows

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 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 2

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 3

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 4

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 5

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 6

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 7

Problem: Continue 8, 13, 18, ... 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: 23, 28

Worked Example 8

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 9

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 10

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

Practice Exercise

Create and solve one new example of Finding how much a pattern grows. 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.

30.5 Extending a growing 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 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 2

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

Worked Example 3

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 4

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 5

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 6

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 7

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 8

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 9

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 10

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

Practice Exercise

Create and solve one new example of Extending a growing 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.

30.6 Finding missing terms

Finding missing terms is an important Grade 4 mathematics idea in Growing 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 terms using the numbers 5 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 terms.

Worked Example 2

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

Worked Example 3

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

Worked Example 4

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

Worked Example 5

Problem: Create a simple Grade 4 example about Finding missing terms 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 terms.

Worked Example 6

Problem: Create a simple Grade 4 example about Finding missing terms using the numbers 9 and 18.

  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 terms.

Worked Example 7

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

Worked Example 8

Problem: Create a simple Grade 4 example about Finding missing terms using the numbers 15 and 3.

  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 terms.

Worked Example 9

Problem: Create a simple Grade 4 example about Finding missing terms using the numbers 10 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 terms.

Worked Example 10

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

Practice Exercise

Create and solve one new example of Finding missing terms. 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.

30.7 Creating a growing 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 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 3

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 4

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 5

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 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 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 8, 13, 18, ... 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: 23, 28

Worked Example 9

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 10

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

Practice Exercise

Create and solve one new example of Creating a growing 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.

30.8 Describing a growing 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 growing rule using the numbers 3 and 17.

  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 growing rule.

Worked Example 2

Problem: Create a simple Grade 4 example about Describing a growing rule 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 Describing a growing rule.

Worked Example 3

Problem: Create a simple Grade 4 example about Describing a growing rule using the numbers 18 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 growing rule.

Worked Example 4

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

Worked Example 5

Problem: Create a simple Grade 4 example about Describing a growing rule using the numbers 17 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 growing rule.

Worked Example 6

Problem: Create a simple Grade 4 example about Describing a growing rule 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 Describing a growing rule.

Worked Example 7

Problem: Create a simple Grade 4 example about Describing a growing rule using the numbers 7 and 11.

  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 growing rule.

Worked Example 8

Problem: Create a simple Grade 4 example about Describing a growing rule using the numbers 12 and 3.

  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 growing rule.

Worked Example 9

Problem: Create a simple Grade 4 example about Describing a growing rule using the numbers 18 and 18.

  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 growing rule.

Worked Example 10

Problem: Create a simple Grade 4 example about Describing a growing rule using the numbers 16 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 Describing a growing rule.

Practice Exercise

Create and solve one new example of Describing a growing 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.

30.9 Growing patterns with multiplication

Multiplication combines equal groups. Arrays, place value, known facts, and breaking apart numbers can all help. 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: Calculate 4 × 8.

  1. Break 4 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 32

Worked Example 2

Problem: Calculate 10 × 6.

  1. Break 10 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 60

Worked Example 3

Problem: Calculate 8 × 2.

  1. Break 8 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 16

Worked Example 4

Problem: Calculate 8 × 5.

  1. Break 8 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 40

Worked Example 5

Problem: Calculate 9 × 8.

  1. Break 9 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 72

Worked Example 6

Problem: Calculate 4 × 4.

  1. Break 4 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 16

Worked Example 7

Problem: Calculate 10 × 3.

  1. Break 10 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 30

Worked Example 8

Problem: Calculate 12 × 2.

  1. Break 12 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 24

Worked Example 9

Problem: Calculate 6 × 5.

  1. Break 6 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 30

Worked Example 10

Problem: Calculate 11 × 7.

  1. Break 11 apart if helpful.
  2. Multiply each part by the other factor.
  3. Combine the partial products.

Very beginner explanation: Multiplication finds a total made from equal groups.

Answer: 77

Practice Exercise

Create and solve one new example of Growing patterns with multiplication. 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.

30.10 Growing patterns in tables

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, 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 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 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 4

Problem: Continue 3, 8, 13, ... 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: 18, 23

Worked Example 5

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 6

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 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 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 9

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 10

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

Practice Exercise

Create and solve one new example of Growing patterns in tables. 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.

30.11 Growing 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 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 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 4

Problem: Continue 5, 7, 9, ... 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: 11, 13

Worked Example 5

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 6

Problem: Continue 8, 13, 18, ... 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: 23, 28

Worked Example 7

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 8

Problem: Continue 3, 8, 13, ... 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: 18, 23

Worked Example 9

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 10

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

Practice Exercise

Create and solve one new example of Growing 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.

30.12 Comparing two growing 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 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

Worked Example 2

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 3

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 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 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 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 7

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 8

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

Worked Example 9

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 10

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

Practice Exercise

Create and solve one new example of Comparing two growing 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.

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30 Review Questions and Answers

Q1. What is important to understand about Identifying a growing 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 Growing shape patterns?

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 Growing number 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 Finding how much a pattern grows?

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 Extending a growing pattern?

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 Finding missing terms?

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

Q7. What is important to understand about Creating a growing pattern?

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

Q8. What is important to understand about Describing a growing rule?

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 Growing patterns with multiplication?

Answer: Multiplication combines equal groups. Arrays, place value, known facts, and breaking apart numbers can all help.

Q10. What is important to understand about Growing patterns in tables?

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 Growing 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 Comparing two growing patterns?

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 growing 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 Growing shape patterns?

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

Q15. How would you explain Growing number 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 Finding how much a pattern grows?

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

Q17. How would you explain Extending a growing pattern?

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

Q18. How would you explain Finding missing terms?

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

Q19. How would you explain Creating a growing pattern?

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

Q20. How would you explain Describing a growing rule?

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

Q21. How would you explain Growing patterns with multiplication?

Answer: Multiplication combines equal groups. Arrays, place value, known facts, and breaking apart numbers can all help.

Q22. How would you explain Growing patterns in tables?

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

Q23. How would you explain Growing 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 Comparing two growing patterns?

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 growing 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 Growing shape patterns?

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 Growing number 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 Finding how much a pattern grows?

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 Extending a growing pattern?

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 Finding missing terms?

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