LO To start to draw and describe sequences RAG

Key Words; Term, Expression 21 Apr 2023

Think / Pair / ShareWhich of the following sequences can you describe?

Which of the following sequences can you describe?

2, 4, 6, 8, 10, ...

1, 3, 5, 7, 9, ...

3, 6, 9, 12, 15, ...

5, 10, 15, 20, 25, ...

1, 4, 9, 16, 25, ...

Even numbers (or multiples of 2)

Odd numbers

Multiples of 3

Multiples of 5

Square numbers

1, 3, 6, 10, 15, ... Triangular numbers

Think – Pair - ShareThink – Pair - Share

1st 2nd 3rd

1st 2nd 3rd

How do you know how the 4th pattern and the 5th pattern look?

How do you know how many holes there are in the 4th and 5th pattern?

How could you explain how many holes there’ll be in the 10th and 12th pattern?

Describe the 4th and the 5th pattern

1st

2nd 3rd

What would the 4th and 5th term look like?What would the 4th and 5th term look like?

How could you describe the sequence?How could you describe the sequence?

For each sequence decide which of these tasks will challenge you:-

•Draw the next two patterns and describe how the pattern grows in words

•Copy and complete the table of results.

•Find a rule that will help you to predict patterns number 7 and 8. Describe your rule.

•Try to find the 15th pattern using your rule?

•Find a rule that will help you to predict the 100th pattern. Explain fully how you would use your rule to work out the 100th pattern.

Pattern 1 2 3 4 5 6 7

Squares

Pattern 1 2 3 4 5 6 7

Tiles

Pattern 1 2 3 4 5 6 7

Squares

1st

2nd 3rd

Pattern 1 2 3 4 5 6 7

Circles

Pattern 1 2 3 4 5 6 7

Tiles

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