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Walt: find the rule for a growing pattern

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Part One: Rick is designing tile patterns to go across the wall in his bathroom. He choose triangle and adds square tiles to make a “wheel”

Number of wheels

1

2

3

4

...

8

...

12

...

20

Triangles

8

8 + 8

8 + 8 + 8

Squares

1 +3

1 + 3 + 3

1 + 3 + 3 + 3

Answer these questions in your maths book and take a photo and place it on the next page.

  1. Explain how Rick has worked out the numbers in the table:��
  2. What would rick write in the table for:
    1. 4
    2. 8
    3. 12
    4. 20

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Place the image from your maths book here

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Part Two: Rick is designing tile patterns to go across the wall in his bathroom. He choose triangle and adds square tiles to make a “wheel”

Number of wheels

1

2

3

4

...

8

...

12

...

20

Triangles

8

8 + 8

8 + 8 + 8

Squares

1 +3

1 + 3 + 3

1 + 3 + 3 + 3

Answer these questions in your maths book and take a photo and place it on the next page.

  • Find a quicker way using multiplication that Rick could use to find how many tiles he needs.Use this to find how many of each sort of tile he would need for 30 wheels�
  • Ricks bathroom needs a border of 16 wheels. How many of these will he need for the border:
    • Triangular tiles
    • Square tiles

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Place the image from your maths book here

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Hinemoa helps out in her aunt's knitting shop. She designed some different ways to stack the balls of wool on the shelves. Fill in the missing numbers below:

Design Number

1

2

3

4

5

6

7

8

9

10

Number of balls of wool

1

3

6

10

Design Number

1

2

3

4

5

6

7

8

9

10

Number of balls of wool

2

4

8

14

Design Number

1

2

3

4

5

6

7

8

9

10

Number of balls of wool

4

8

16

28

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X

1

2

3

4

5

6

7

8

9

10

11

12

1

2

3

4

5

6

7

8

9

10

11

12

Fill out the times table grid.

What patterns can you notice?