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Geometric Patterns Tables
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Geometric Patterns Tables
Use the shape patterns and tables to find how the number of shapes changes at each step. Write a rule that links the step number to the number of shapes.
Count and describe the pattern
1.Pattern A has 3 dots at step 1, with 3 more dots added at each step. Complete the number of dots for steps 1 to 6.
2.Which multiplication rule gives the number of dots in Pattern A?
- Step number × 2
- Step number × 3
- Step number + 3
- Step number × 4
3.Pattern B has 4 tiles at step 1, with 4 more tiles added at each step. How many tiles will there be at step 4 and step 7?
4.Write a multiplication rule for the number of tiles in Pattern B.
Two shapes, two rules
5.In Pattern C, each step has 2 times its step number in triangles and 5 times its step number in circles. Complete the counts for steps 1 to 5: how many triangles and how many circles are in each step?
6.Write one multiplication rule for the triangles and one for the circles in Pattern C.
7.How many triangles and circles will be in step 12 of Pattern C?
Match the rule
Match each pattern description with its multiplication rule.
8.Match each pattern description to the correct rule.
- A pattern adds 6 stars for every step.
- A pattern adds 8 hexagons for every step.
- A pattern adds 3 diamonds for every step.
- A pattern adds 4 pentagons for every step.
- Step number × 3
- Step number × 8
- Step number × 6
- Step number × 4
Make a pattern of your own
Choose a multiplication rule and use it to create a square-tile pattern. Show the first three steps and record the counts.
Draw a square-tile pattern that follows one multiplication rule.
9.Record the numbers of tiles in steps 1, 2, 3 and 4 for your pattern, then state its multiplication rule.
3 printable pages
Page 1
Page 2
Page 3
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