S3_General_Chapter17_TJ_Linear_Patterns

S3_General_Chapter17_TJ_Linear_Patterns - Simple Linear...

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Unformatted text preview: Simple Linear Patterns using diagrams and tables MTH 213a & MTH 313a Square Numbers www.mathsrevision.com Triangular Numbers Simple Linear Patterns Harder Linear Patterns Starter Questions MTH 213a & MTH 313a Q1. Calculate Area and perimeter 30% of 200 3cm 4cm 2cm 5cm www.mathsrevision.com Q2. Q3. Q4. ( -2 5 ) + ( -2 0 ) If a = 1 , b = 2 and c = 4 Find c ab 2 MTH 213a & MTH 313a Simple Linear Patterns using diagrams and tables Learning Intention Success Criteria 1. Construct tables. 2. Find the difference value in patterns. 3. Using the difference value to write down a formula. www.mathsrevision.com 1. Using tables to help us come up with formulae for Simple Linear Patterns using diagrams and tables. MTH 213a & MTH 313a Simple Linear Patterns using diagrams and tables In an internet caf 3 surfers can sit round a triangular table. www.mathsrevision.com 1 Table 2 Tables 3 Tables Task : Find a formula connecting the number of tables and the number of surfers. MTH 213a & MTH 313a Simple Linear Patterns using diagrams and tables 1 Table Step 1 : Number of Tables Number of Surfers 2 Tables 1 3 3 2 6 3 3 Tables 3 9 3 4 12 3 What is the formula 5 15 Fill empty boxes www.mathsrevision.com Step 2 : Find difference Same difference linear pattern MTH 213a & MTH 313a Simple Linear Patterns using diagrams and tables Number of Tables 1 3 3 2 6 3 3 9 3 4 12 3 5 15 www.mathsrevision.com Number of Surfers Can you write down formula connecting the number of surfers and the number of tables. HINT : Step 3 : Let the number of surfers be the letter S and the number of tables be the letter T S = 3 x T S = 3T MTH 213a & MTH 313a Simple Linear Patterns using diagrams and tables KeyPoints www.mathsrevision.com Write down the 3 main steps 1. 2. 3. Make a table Find the difference Use the difference to write down the formula MTH 213a & MTH 313a Simple Linear Patterns using diagrams and tables www.mathsrevision.com Now try Ex 1 Ch 17 (Page 205) MTH 213a & MTH 313a Complicated Linear Patterns using diagrams and tables Q1. Calculate Area and perimeter www.mathsrevision.com 6cm Q2. 32% of 200 Q3. 7cm 3cm 10cm ( -2 5 ) + ( -2 0 ) MTH 213a & MTH 313a Complicated Linear Patterns using diagrams and tables Learning Intention Success Criteria 1. Construct tables. 2. Find the difference value in patterns. 3. Work out correction factor 4. Using the difference value to write down a formula connecting table values. www.mathsrevision.com 1. Using tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables. MTH 213a & MTH 313a Complicated Linear Patterns using diagrams and tables A internet caf decides to change it's table design to. www.mathsrevision.com 1 Table 2 Tables 3 Tables Task : Find a formula connecting the number of tables and the number of surfers. MTH 213a & MTH 313a Complicated Linear Patterns using diagrams and tables Fill empty boxes 5 12 2 What is the formula www.mathsrevision.com 1 Table Step 1 : 2 Tables Number of Tables Number of Surfers 1 4 2 2 6 2 3 Tables 3 8 2 4 10 Step 2 : Find difference Same difference linear pattern MTH 213a & MTH 313a Complicated Linear Patterns using diagrams and tables Number of Tables 1 5 2 2 7 2 3 9 2 4 11 2 5 13 www.mathsrevision.com Number of Surfers Step 3 : Part of the Formula Step 4 : Correction factor "add on 2" S = 2 x T S = 2T + 3 Find a number so formula works MTH 213a & MTH 313a Complicated Linear Patterns using diagrams and tables KeyPoints www.mathsrevision.com Write down the 4 main steps 1. 2. 3. 4. Make a table Find the difference Write down part of formula Find the correction factor and then write down the full formula Complicated Linear Patterns using diagrams and tables MTH 213a & MTH 313a www.mathsrevision.com Now try Ex 2 Ch 17 (Page 209) Starter Questions MTH 213a & MTH 313a 1. Calculat e t he ar ea of t he f ollowing shape. 6 cm 10 cm www.mathsrevision.com Q 2 . Find t h e m is s ing ang le . Q .3 Ca lc ulat e 114 o ( a ) 16 12 6 ( b ) ( 9 ) x ( 5 ) ( c ) ( 2 2 ) x ( 11) Monday 13 February 2012 Created by Mr. Lafferty @www.mathsrevision.com 16 2 Square Numbers MTH 213a & MTH 313a Learning Intention Success Criteria 1. To understand what a square number is. www.mathsrevision.com 1. To explain what a square number is. 2. Calculate the first 10 square numbers. Monday 13 February 2012 Created by Mr. Lafferty @www.mathsrevision.com 17 Square Numbers MTH 213a & MTH 313a Write down the next square number www.mathsrevision.com 12 1 22 4 32 9 16 42 Write down the first 10 square numbers. Feb 13, 2012 1 4 9 16 Created by Mr.Lafferty Math Dept 25 36 49 64 81 100 Square Numbers MTH 213a & MTH 313a www.mathsrevision.com Now try Extension Booklet 3E (page 95) Monday 13 February 2012 Created by Mr. Lafferty @www.mathsrevision.com 19 Starter Questions MTH 213a & MTH 313a 1. Calculat e t he ar ea of t he f ollowing shape. 8 cm 6 cm www.mathsrevision.com Q 2 . Find t h e m is s ing a ng le . Q .3 Ca lc ula t e ( a ) 16 +12 Monday 13 February 2012 122 o 4 ( b ) ( 4 ) x ( 2 ) ( c ) ( 4 ) x ( 9 ) Created by Mr. Lafferty @www.mathsrevision.com 2 20 Triangular Numbers MTH 213a & MTH 313a Learning Intention Success Criteria 1. To understand what a triangular number is. 2. Calculate the first 10 triangular numbers. www.mathsrevision.com 1. To explain what a triangular number is. Monday 13 February 2012 Created by Mr. Lafferty @www.mathsrevision.com 21 MTH 213a & MTH 313a Which numbers are both square and triangular Triangular and square Numbers number Write down the next square number www.mathsrevision.com 1 2 3 Write down the first 10 triangular numbers. Created by Mr.Lafferty Math Dept 3 6 4 10 15 5 Feb 13, 2012 1 3 6 10 15 21 28 36 45 55 Special Patterns MTH 213a & MTH 313a www.mathsrevision.com Now try Extension Booklet 4E (page 97) Monday 13 February 2012 Created by Mr. Lafferty @www.mathsrevision.com 23 ...
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