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Number patterns

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# Number patterns in diagrams

A number pattern in a diagram often requires counting shapes to find the rule. Again, look at how the pattern grows from one term to the next.

## Example:

• Pattern 1 has 0 orange tiles and 3 blue tiles, so 3 tiles altogether
• Pattern 2 has 1 orange tiles and 5 blue tiles, so 6 tiles altogether
• Pattern 3 has 2 orange tiles and 7 blue tiles, so 9 tiles altogether
Question

Q1. Based on the number patterns above, draw pattern 4.

Q2. Look again at the number patterns above. Write the rule and the fourth terms for:
a) orange tiles
b) blue tiles
c) all tiles

A1.

Pattern 4 has 3 orange tiles and 9 blue tiles, so 12 tiles altogether

A2.
a) The rule for the number pattern of orange tiles is 'add 1' and the 4th term is 3.
b) The rule for the number pattern of blue tiles is 'add 2' and the 4th term is 9.
c) The rule for the number pattern of all tiles is 'add 3' and the 4th term is 12.

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