Walt: find the rule for a growing pattern
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.
Place the image from your maths book here
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.
Place the image from your maths book here
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 | | | | | | |
X | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
1 | | | | | | | | | | | | |
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7 | | | | | | | | | | | | |
8 | | | | | | | | | | | | |
9 | | | | | | | | | | | | |
10 | | | | | | | | | | | | |
11 | | | | | | | | | | | | |
12 | | | | | | | | | | | | |
Fill out the times table grid.
What patterns can you notice?