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Unformatted text preview: 13 Feb 2012 13 Feb 2012 Created by Mr. Lafferty Maths Department Created by Mr. Lafferty Maths Department Solving Sim. Equations Graphically Solving Simple Sim. Equations by Substitution Simultaneous Equations Simultaneous Equations www.mathsrevision.com Solving Simple Sim. Equations by elimination Solving harder type Sim. equations S3 Credit Short cut method using graphs Choosing the Best Method Using Sim. Equations to find formulae. Using Sim. Equations to solve problems 13 Feb 2012 13 Feb 2012 Created by Mr. Lafferty Maths Department Created by Mr. Lafferty Maths Department Starter Questions Starter Questions www.mathsrevision.com 2 . T 1 1. T rue or f alse a car r educed in value by 33 % in one year. 3 I f it s init ial pr ice was 12 000. T he new price is 3 000. idy up t he expression  6e + 5d  7d + 6e 3. Calculat e a) 13 + 4 x y b) 12x 5y S3 Credit 13 Feb 2012 13 Feb 2012 Created by Mr. Lafferty Maths Department Created by Mr. Lafferty Maths Department www.mathsrevision.com Learning Intention Learning Intention Success Criteria Success Criteria 1. To solve simultaneous equations using graphical methods. Simultaneous Equations 1. 1. Interpret information from a line graph. Interpret information from a line graph. 2. 2. Plot line equations on a graph. Plot line equations on a graph. 3. 3. Find the coordinates were 2 lines Find the coordinates were 2 lines intersect ( meet) intersect ( meet) Straight Lines S3 Credit www.mathsrevision.com Simultaneous Equations S3 Credit Straight Lines 13 Feb 2012 13 Feb 2012 Created by Mr. Lafferty Maths Department Created by Mr. Lafferty Maths Department 2 1 1 2 3 4 4 3 2 1 1 2 3 4 (1,3) Q. Write down the coordinates where they meet. www.mathsrevision.com Simultaneous Equations S3 Credit Straight Lines 13 Feb 2012 13 Feb 2012 Created by Mr. Lafferty Maths Department Created by Mr. Lafferty Maths Department 2 1.5 1 0.5 0.5 1 1.5 2 2 1.5 1 0.5 0.5 1 1.5 2 (0.5,0.5) Q. Write down the coordinates where they meet. www.mathsrevision.com Simultaneous Equations S3 Credit Straight Lines 13 Feb 2012 13 Feb 2012 Created by Mr. Lafferty Maths Department Created by Mr. Lafferty Maths Department 2 1.5 1 0.5 0.5 1 1.5 2 2 1.5 1 0.5 0.5 1 1.5 2 Q. Plot the lines. y x = 2 1 Blue : y x = (1,1) Q. Write down the coordinates where they meet. www.mathsrevision.com Simultaneous Equations S3 Credit Straight Lines 13 Feb 2012 13 Feb 2012 Created by Mr. Lafferty Maths Department Created by Mr. Lafferty Maths Department Per day 1 2 3 4 5 Total Cost 60 120 Swinton Direct Car Hire Per Day 1 2 3 4 5 Total Cost 100 120 140 Anrnold Palmer Car Hire We can use straight line theory to work out reallife problems especially useful when trying to work out hire charges.especially useful when trying to work out hire charges....
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