# Growing tree patterns

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## Lesson details

### Key learning points

- In this lesson, we will learn how to generalise counting strategies algebraically for different repeating patterns.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

You can link together patterns of dots to form chains. Counting the dots in a ______ way can help you to find the number of dots in any length chain.

Clever

Good

Long

Q2.

For the chain below, complete the tracking calculation that illustrates the counting strategy for the total number of dots.

3 x 4

3 x 4 + 1

3 x 4 + 4

Q3.

For the chain below, complete the tracking calculation that illustrates the counting strategy for the total number of dots.

3 x 5

3 x 5 + 1

3 x 5 + 5

Q4.

Use the counting strategy from Q3 to find the total number of dots in a 10-chain.

30

37

40

Q5.

Use the counting strategy from Q3 to find the total number of dots in an n-chain.

3n + 1

3n + 5

6n + 1

### 5 Questions

Q1.

Which of the following is a tracking calculation for the image below?

4 x 5 + 4 + 1

4 x 5 + 5

4 x 7 - (4 - 1)

Q2.

Which of the following is a tracking calculation for the image below?

4 x 5 + 5

4 x 6 + 1

4 x 7 - (4 - 1)

Q3.

Which of the following is a tracking calculation for the image below?

4 x 5 + 4 + 1

4 x 5 + 5

4 x 6 + 1

Q4.

Use the tracking calculation from Q1 to find the number of dots in a 10-chain.

51

62

66

Q5.

Use the tracking calculation from Q1 to find the number of dots in a n-chain.

5n + n

5n + n + 1

6n - 1