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Geometric Pattern Tables
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Geometric Pattern Tables
Use each rule to find the number of shapes at each step. Show your thinking where asked.
Build and read pattern tables
1.A tile design uses 3 blue tiles at Step 1, 6 at Step 2 and 9 at Step 3. Fill in the missing number of tiles for Steps 1 to 5.
2.For the tile design in the previous question, complete the rule: number of tiles = step number × .
3.A pattern has 4 green tiles at Step 1, 8 at Step 2 and 12 at Step 3. How many tiles are at Step 6? Write a multiplication sentence as well.
4.A triangle pattern follows the rule: number of triangles = step number × 5. Complete the table.
Step
1
2
3
4
6
8
Triangles
___
___
___
___
___
___
5.A bead pattern follows the rule number of beads = step number × 6. Which step has 42 beads?
6.A star design has 7 stars at Step 1, 14 at Step 2 and 21 at Step 3. Which rule describes the pattern?
- Step number × 3
- Step number × 7
- Step number + 7
- Step number × 14
Compare patterns and solve
7.At each step, a mosaic has hexagons equal to the step number × 4 and circles equal to the step number × 3. Complete the table for Steps 1, 2, 3 and 5.
Shape and step
1
2
3
5
Hexagons
___
___
___
___
Circles
___
___
___
___
8.Using the mosaic rules above, how many shapes are there altogether at Step 5?
9.A pattern uses 8 squares at Step 1, 16 squares at Step 2 and 24 squares at Step 3. Explain how to calculate the number of squares at any step, then give the number at Step 9.
2 printable pages
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