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Find and Give the Rule

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Find and Give the Rule

Worksheet illustration

Our learning

WALT: We Are Learning To find and give a rule for a growing pattern.

Success criteria:

I can find the amount added each time.

I can complete a table and give the rule in words.

I can use a rule to find a later term and explain my thinking.

1. Complete the pattern table. The pattern starts with 7 matchsticks and grows by 5 matchsticks each term.

Pattern table

Term number

1

2

3

4

Matchsticks

7

________

________

________

2. How many matchsticks are added each time?

________ matchsticks

3. Write the rule in words.

Start at ______ and add ______ each time.

Use the rule

4. Find Term 7. Show your working.
5. Term 7 has ______ matchsticks.
6. Explain briefly how you know your answer is correct.
7. Optional: Draw or show the pattern growing from Term 1 to Term 4.

Support: Use counters, matchsticks, or a drawing. You may explain your rule aloud before writing it.

Year 6 challenge

8. Write a number sentence that works for any term.

matchsticks = 5 × term number + 2

My number sentence: __________________________________________

9. Test the rule with Term 1.

5 × 1 + 2 = ______

10. Test the rule with Term 3.

5 × 3 + 2 = ______

11. Why does the number sentence work?

Extension: Use your number sentence to find Term 10.

Term 10 = __________________ matchsticks

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