S4_General_Straight_Line_TJ_Chapter6

S4_General_Straight_Line_TJ_Chapter6 - Straight Line Graphs...

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Unformatted text preview: Straight Line Graphs S4 The gradient Vertical Horizontal www.mathsrevision.com Basic Lines Drawing Straight Lines y = ax Drawing Straight Lines y =ax + b Starter Questions S4 Q1. www.mathsrevision.com Q2. Calculate 7 5 x 2 Calculate 2 1 2 +1 5 2 Q3. Is this triangle right angled ? Explain Created by Mr.Lafferty Maths Dept 8 5 9 13 Feb 2012 The Gradient of a Line S4 Learning Intention Success Criteria 1. Gradient is : change in vertical height divided by change in horizontal distance 2. Calculate simple gradients. www.mathsrevision.com 1. To explain how to calculate the gradient using a right angle triangle 13 Feb 2012 Created by Mr.Lafferty Maths Dept The Gradient S4 Difference in y coordinates The gradient is the measure of steepness of a line www.mathsrevision.com Change in vertical height Change in horizontal distance V = H Difference in The steeper a line the bigger the gradient x coordinates 13 Feb 2012 Created by Mr.Lafferty Maths Dept The Gradient S4 6 4 2 6 4 2 0 2 4 13 Feb 2012 www.mathsrevision.com V m= = H V m= = H 2 4 6 3 4 3 2 3 5 6 Created by Mr.Lafferty Maths Dept V m= = H V 2 m= = H 6 1 = 3 The Gradient S4 www.mathsrevision.com Now Try MIA Exercise 1 Ch6 (page 64) 13 Feb 2012 Created by Mr.Lafferty Maths Dept Starter Questions S4 www.mathsrevision.com Expand and simplify 4( 3 + 2x) 3(x + 1) 13 Feb 2012 Created by Mr.Lafferty Maths Dept Straight Line Graphs S4 Learning Intention Success Criteria 1. Understand the keypoints of straight line graph passing through the origin. 2. Be able to write down equation of a straight line passing through the origin. www.mathsrevision.com 1. To explain the keypoints of straight line graphs that pass through the origin and write down its equation. 13 Feb 2012 Created by Mr.Lafferty Maths Dept Straight Line Graphs y = ax y 10 y = x x y 0 2 6 6 y = 3x x 0 1 2 9 8 7 6 5 4 3 2 1 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 0 2 y 0 3 6 x y = 2x x 0 3 6 4 8 y = 0.5x x 0 4 8 y 0 2 4 y 0 13 Feb 2012 Created by Mr. Lafferty Maths Dept Straight Line Graphs S4 www.mathsrevision.com Now tryEx2 Ch6 (page 68) 13 Feb 2012 Created by Mr.Lafferty Maths Dept Starter Questions S4 Q1. Calculate 40 30x2 www.mathsrevision.com 13 Feb 2012 Created by Mr.Lafferty Maths Dept The Straight Line Equation S4 Learning Intention Success Criteria 1. Understand the term standard form. 2. Identity the gradient m from the standard form. www.mathsrevision.com 1. To explain the connection between the straight line equation and the gradient. 13 Feb 2012 Created by Mr.Lafferty Maths Dept Straight Line Graphs S4 Key Points www.mathsrevision.com 1.Make a table 2.Calculate and plot 3 coordinates 3. Draw a line through points 13 Feb 2012 Created by Mr.Lafferty Maths Dept Drawing Straight Line Graphs y = ax y 10 y = x x y 0 2 6 6 y = 3x x 0 1 2 9 8 7 6 5 4 3 2 1 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 0 2 y 0 3 6 x y = 2x x 0 3 6 4 8 y = 5x x 0 1 2 y 0 5 10 y 0 13 Feb 2012 Created by Mr. Lafferty Maths Dept The Gradient of a Line S4 www.mathsrevision.com Now try Ex 3 Ch6 (page 70) 13 Feb 2012 Created by Mr.Lafferty Maths Dept Starter Questions S4 www.mathsrevision.com Factorise 5x + 10 13 Feb 2012 Created by Mr.Lafferty Maths Dept The Straight Line Equation S4 Learning Intention Success Criteria 1. Be able to draw straight lines of the form y = ax + b www.mathsrevision.com 1. To explain the draw straight lines of the form y = ax + b. 13 Feb 2012 Created by Mr.Lafferty Maths Dept Straight Line Graphs S4 Key Points www.mathsrevision.com 1.Make a table 2.Calculate and plot 3 coordinates 3. Draw a line through points 13 Feb 2012 Created by Mr.Lafferty Maths Dept Drawing Straight Line Graphs y = ax + b y 10 y = x x y 0 2 4 4 y = 3x+1 x 0 1 2 9 8 7 6 5 4 3 2 1 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 0 2 y 1 4 7 x y = 2x + 3 x 0 1 5 2 7 y = x 3 x 0 4 8 y 3 1 5 y 3 13 Feb 2012 Created by Mr. Lafferty Maths Dept Straight Line Equation S4 y www.mathsrevision.com All straight lines have the equation of the form lines are parallel if they have the same gradient 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 y = mx + c Gradient Where line meets yaxis y = x+4 x Find the equations of the following lines y=x 13 Feb 2012 y = 4x+2 y = -0.5x+2 Created by Mr.Lafferty Maths Dept Straight Line Equation S4 www.mathsrevision.com Now try MIA Ex 4 Ch6 (page 73) 13 Feb 2012 Created by Mr.Lafferty Maths Dept ...
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