Linear Patterns Linear Patterns Simple Linear Patterns Complicated Linear Patterns MTH 2-13a & MTH 3-13a

Starter Questions Starter Questions 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

Simple Linear Patterns using diagrams and tables 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

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

Simple Linear Patterns using diagrams and tables 1 Table3 Tables2 Tables 24513Number of Tables Number 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

Simple Linear Patterns using diagrams and tables 24513Number of Tables Number 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

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

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

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

Complicated Linear Patterns using diagrams and tables 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

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

Pattern Number (P) Number 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

Pattern Number (P) 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

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

Simple Linear Patterns using diagrams and tables 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

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 y x y = 3x + 1 MTH 2-13a & MTH 3-13a

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