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Tessellation Pattern Exploration

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Tessellation Pattern Exploration

A community art studio is planning a tessellated floor using repeating geometric tiles. Use ratios, equivalent ratios and scale to help plan the design. Give ratio answers in simplest form unless a question asks otherwise.

Plan the tile mix

The studio tests a repeating tile motif containing 3 teal hexagons for every 2 gold hexagons.

1.In the motif, what is the ratio of teal hexagons to gold hexagons? Write it in simplest form.

2.The floor design uses 24 teal hexagons and keeps the same ratio. How many gold hexagons are needed?

3.A sample motif contains 15 hexagons altogether. How many are teal and how many are gold?

Check a repeating motif

A second motif combines triangles and squares. The small pattern below represents one repeat.

4.Use the grid to write the ratio of triangles to squares in simplest form.

5.The studio makes 6 repeats of the grid motif. How many triangles and squares are used altogether?

Scale and solve

The floor plan uses a scale drawing and a tile budget. Show your reasoning.

6.On a scale plan, 4 cm represents 1 m. A tessellated border is 7.2 cm long on the plan. What is its actual length in metres?

7.A tile mixture uses blue and white tiles in the ratio 5:3. Which mixture keeps the same ratio?

10 blue tiles and 6 white tiles
10 blue tiles and 8 white tiles
15 blue tiles and 12 white tiles
20 blue tiles and 9 white tiles

8.The studio has 84 tiles for a repeating design. The ratio of patterned tiles to plain tiles is 4:3. How many of each type can be used?

9.A designer claims that changing a repeating motif from 3 teal hexagons and 2 gold hexagons to 6 teal and 5 gold keeps the same tile ratio. Is the claim correct? Explain using equivalent ratios.

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Tessellation Pattern Exploration

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Plan the tile mix

Check a repeating motif

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2 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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