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

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

3. Simple Linear Patterns using diagrams and tables www.mathsrevision.com Learning Intention Success Criteria 1.Find the difference in a pattern. 1.We are learning to use tables to help us come up with formulae for Simple Linear Patterns. 2.Write down formula MTH 2-13a & MTH 3-13a

4. www.mathsrevision.com Simple Linear Patterns using diagrams and tables In an internet café 3 surfers can sit round a triangular table. 1 Table3 Tables2 Tables Task :Find a formula connecting the number of tables and the number of surfers. MTH 2-13a & MTH 3-13a

5. www.mathsrevision.com Simple Linear Patterns using diagrams and tables 1 Table3 Tables2 Tables 24513Number of Tables 6121539Number of Surfers Step 1 : Fill empty boxes 3333 Same difference linear pattern What is the formula Step 2 : Find difference MTH 2-13a & MTH 3-13a

6. www.mathsrevision.com Simple Linear Patterns using diagrams and tables 24513Number of Tables 6121539Number of Surfers 3333 Can you write down formula connecting the number of surfers and the number of tables. S = 3 x T S = 3T HINT : Let the number of surfers be the letter S and the number of tables be the letter T Step 3 : MTH 2-13a & MTH 3-13a

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

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

9. www.mathsrevision.com Complicated Linear Patterns using diagrams and tables Q1.Calculate Area and perimeter Q3. Q2.32% of 200 10cm 3cm 6cm 7cm MTH 2-13a & MTH 3-13a

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

11. www.mathsrevision.com A pattern is made up of pentagons. Pattern 1 Pattern 3 Pattern 2 Task :Find a formula connecting the Pattern number and the number of Sides. Complicated Linear Patterns using diagrams and tables MTH 2-13a & MTH 3-13a

12. www.mathsrevision.com 24513Pattern Number (P) 91721513Number of Sides (S) Step 1 : Fill empty boxes 4444 Same difference linear pattern What is the formula 1 Table 3 Tables 2 Tables Complicated Linear Patterns using diagrams and tables Step 2 : Find difference MTH 2-13a & MTH 3-13a

13. www.mathsrevision.com 24513 Pattern Number (P) 9 1721 513 Number of Sides (S) 4444 Can you write down formula connecting the Pattern number and the number of Sides. S = 4P + 1 Complicated Linear Patterns using diagrams and tables S = 4 x P Part of the Formula Correction factor “add on 1” Find a number so formula works Step 3 : Step 4 : MTH 2-13a & MTH 3-13a

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

15. www.mathsrevision.com Simple Linear Patterns using diagrams and tables 3102 3 1 4 2 6 5 x0123y0246 (0,0) (1,2) (3,6) (2,4) Simple linear patterns always give a straight line through the origin y x y = 2x MTH 2-13a & MTH 3-13a

16. www.mathsrevision.com Simple Linear Patterns using diagrams and tables x0123y14710 (0,1) (1,4) (3,10) (2,7) Complicated linear patterns always give a straight line NOT through the origin 3102 3 1 4 2 6 5 y x 7 8 10 9 y = 3x + 1 MTH 2-13a & MTH 3-13a

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