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Pattern starter Answers

Pattern starter Answers. 1. Making mountains. a ) Use sticks to make 1 and 2 mountains. Complete the diagram for 3 mountains. 1 mountain 2 mountains 3 mountains. b) How many extra sticks are added each time you make the next design? four sticks

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Pattern starter Answers

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  1. Pattern starterAnswers

  2. 1. Making mountains • a) Use sticks to make 1 and 2 mountains. Complete the diagram for 3 mountains. • 1 mountain 2 mountains 3 mountains

  3. b) How many extra sticks are added each time you make the next design? • four sticks • c) Discuss how many sticks you would need to make 10 mountains and how you work this out. • 42 sticks. 9  4  6  42

  4. 2. Making factories • a) Use tiles to make first and second factories. Complete the diagram for third factory. first factory second factory third factory

  5. b) How many extra blue tiles and how many extra red tiles are added each time you make the next design? • One extra blue tile and 4 extra red tiles. Five extra tiles. • c) Discuss how many tiles you would need to make the 10th factory and how you work this out. • 52 tiles. 9  5  7  42

  6. 3) Rose garden • a) Below were designs of rose gardens surrounded by green tiles. Use tiles to make first and second rose gardens. Complete the diagram for third rose garden. 1st rose garden 2nd rose garden 3rd rose garden

  7. b) How many extra tiles are added each time you make the next design? •  four extra tiles • c) Discuss how many tiles you would need to make the 10th rose garden and how you work this out. • 44 tiles. 9  4  8  44

  8. Patternstarter 2

  9. 1. Making mountains (continue) • c) Fill in the table below for the number of sticks used.

  10. d) Use your table and the diagrams to find a rule for the number of sticks needed for any number of mountains. Write down the rule. • Number of sticks = 4  (number of mountains -1) + 6 • e) Use your rule to find the number of sticks needed to make • i) 12 mountains 50 sticks • ii) 29 mountains 118 sticks • iii) 99 mountains? 398 sticks • f) If Jane has 102 sticks, how many mountains can she make? How did you work that out? • 25 mountains.

  11. 2. Making factories(continue) • c) Fill in the table below for the number of sticks used.

  12. d) Use your table and the diagrams to find a rule for the number of tiles needed for any number of factories. Write down the rule. • Number of tiles = 7 + (factory number – 1)  5 • e) Use your rule to find the number of tiles needed to make • i) 12th factory 62 tiles • ii) 29th factory 147 tiles • iii) 99th factory? 497 tiles • f) If Taine has 102 tiles, what size factories can he make? 20th factory

  13. 3. Rose gardens(continue) • c) Fill in the table below for the number of tiles used.

  14. d) Use your table and the diagrams to find a rule for the number of tiles needed for the size of rose gardens. • Number of tiles = rose number  4 + 4 • e) Use your rule to find the number of tiles needed to make • i) 12th rose garden 52 tiles • ii) 29th rose garden 120 tiles • iii) 99th rose garden? 400 tiles • f) If Tara has 92 tiles, what size rose garden can she make? 12th garden

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