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Linear Patterns

MTH 2-13a & MTH 3-13a. Linear Patterns. Simple Linear Patterns. www.mathsrevision.com. Complicated Linear Patterns. 3cm. 5cm. 4cm. 2cm. MTH 2-13a & MTH 3-13a. Starter Questions. Q1. Calculate Area and perimeter. Q2. 30% of 200. Q3. www.mathsrevision.com.

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Linear Patterns

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  1. MTH 2-13a & MTH 3-13a Linear Patterns Simple Linear Patterns www.mathsrevision.com Complicated Linear Patterns

  2. 3cm 5cm 4cm 2cm MTH 2-13a & MTH 3-13a Starter Questions Q1. Calculate Area and perimeter Q2. 30% of 200 Q3. www.mathsrevision.com Q4. If a = 1 , b = 2 and c = 4 Find

  3. MTH 2-13a & MTH 3-13a Simple Linear Patterns using diagrams and tables Learning Intention Success Criteria • Find the difference in a pattern. • We are learning to use tables to help us come up with formulae for Simple Linear Patterns. • Write down formula www.mathsrevision.com

  4. 1 Table 2 Tables 3 Tables Task : Find a formula connecting the number of tables and the number of surfers. Simple Linear Patterns using diagrams and tables MTH 2-13a & MTH 3-13a In an internet café 3surfers can sit round a triangular table. www.mathsrevision.com

  5. 2 4 5 1 3 6 3 9 1 Table 2 Tables 3 Tables 3 3 3 3 Simple Linear Patterns using diagrams and tables MTH 2-13a & MTH 3-13a Fill empty boxes Number of Tables Step 1 : Number of Surfers 12 15 www.mathsrevision.com Step 2 : Find difference What is the formula Same difference linear pattern

  6. Number of Tables Number of Surfers 12 15 2 4 5 3 3 6 9 1 3 3 3 3 HINT : Let the number of surfers be the letter S and the number of tables be the letter T Step 3 : Can you write down formula connecting the number of surfers and the number of tables. Simple Linear Patterns using diagrams and tables MTH 2-13a & MTH 3-13a www.mathsrevision.com S = 3 x T S = 3T

  7. Simple Linear Patterns using diagrams and tables MTH 2-13a & MTH 3-13a Key-Points Write down the 3 main steps 1. Make a table www.mathsrevision.com 2. Find the difference 3. Use the difference to write down the formula

  8. Simple Linear Patterns using diagrams and tables MTH 2-13a & MTH 3-13a Now try Exercise 1 Ch53 (page 193) www.mathsrevision.com

  9. 6 5 4 (2,4) (0,0) 3 (1,2) (3,6) 2 1 0 1 2 3 Simple Linear Patterns using diagrams and tables MTH 2-13a & MTH 3-13a y y = 2x www.mathsrevision.com x Simple linear patterns always give a straight line through the origin

  10. Complicated Linear Patterns using diagrams and tables MTH 2-13a & MTH 3-13a Starter Fruit Grid www.mathsrevision.com

  11. MTH 2-13a & MTH 3-13a Complicated Linear Patterns using diagrams and tables Learning Intention Success Criteria 1. Find the difference value in patterns. • We are learning to use tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables. 2. Calculate correction factor www.mathsrevision.com 3. Write down formula using steps 1 & 2 above

  12. 3 Tables 1 Table 2 Tables Task : Find a formula connecting the number of tables and the number of surfers. MTH 2-13a & MTH 3-13a A internet café decides to change it’s table design to. Complicated Linear Patterns using diagrams and tables www.mathsrevision.com

  13. 3 Tables 1 Table 2 Tables 2 4 5 1 3 6 4 8 2 2 2 2 MTH 2-13a & MTH 3-13a Complicated Linear Patterns using diagrams and tables Fill empty boxes Number of Tables Step 1 : Number of Surfers 10 12 www.mathsrevision.com Step 2 : Find difference What is the formula Same difference linear pattern

  14. Number of Tables Number of Surfers 10 12 2 4 5 1 3 6 4 8 2 2 2 2 S = 2 x T Part of the Formula Can you write down formula connecting the number of surfers and the number of tables. MTH 2-13a & MTH 3-13a Complicated Linear Patterns using diagrams and tables www.mathsrevision.com Find a number so formula works Step 3 : Step 4 : S = 2T + 2 Correction factor “add on 2”

  15. MTH 2-13a & MTH 3-13a Complicated Linear Patterns using diagrams and tables Key-Points Write down the 4 main steps 1. Make a table www.mathsrevision.com 2. Find the difference 3. Write down part of formula 4. Find the correction factor and then write down the full formula

  16. (2,7) (0,1) (1,4) (3,10) 0 1 2 3 Simple Linear Patterns using diagrams and tables MTH 2-13a & MTH 3-13a y y = 3x + 1 9 8 10 7 6 5 www.mathsrevision.com 4 3 2 1 Complicated linear patterns always give a straight line NOT through the origin x

  17. MTH 2-13a & MTH 3-13a Complicated Linear Patterns using diagrams and tables Now try Exercise 2 Ch53 (page 197) www.mathsrevision.com

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