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Basic Lines www.mathsrevision.com Drawing Straight Lines y = ax S4 Straight Line Graphs The gradient Vertical ÷ Horizontal Drawing Straight Lines y =ax.

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Presentation on theme: "Basic Lines www.mathsrevision.com Drawing Straight Lines y = ax S4 Straight Line Graphs The gradient Vertical ÷ Horizontal Drawing Straight Lines y =ax."— Presentation transcript:

1 Basic Lines www.mathsrevision.com Drawing Straight Lines y = ax S4 Straight Line Graphs The gradient Vertical ÷ Horizontal Drawing Straight Lines y =ax + b

2 24-Aug-14Created by Mr.Lafferty Maths Dept Starter Questions www.mathsrevision.com Q1.Calculate 7 – 5 x 2 Q2.Calculate S4 9 8 5 Q3.Is this triangle right angled ? Explain

3 24-Aug-14Created by Mr.Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 2.Calculate simple gradients. 1.To explain how to calculate the gradient using a right angle triangle 1.Gradient is : change in vertical height divided by change in horizontal distance The Gradient of a Line S4

4 24-Aug-14Created by Mr.Lafferty Maths Dept www.mathsrevision.com The Gradient Change in vertical height Change in horizontal distance The gradient is the measure of steepness of a line The steeper a line the bigger the gradient Difference in x -coordinates Difference in y -coordinates S4

5 24-Aug-14Created by Mr.Lafferty Maths Dept www.mathsrevision.com The Gradient 3 4 3 2 5 2 6 3 S4

6 24-Aug-14Created by Mr.Lafferty Maths Dept Now Try MIA Exercise 1 Ch6 (page 64) www.mathsrevision.com The Gradient S4

7 24-Aug-14Created by Mr.Lafferty Maths Dept Starter Questions www.mathsrevision.com Expand and simplify 4( 3 + 2x) – 3(x + 1) S4

8 24-Aug-14Created by Mr.Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 1.To explain the keypoints of straight line graphs that pass through the origin and write down its equation. 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. Straight Line Graphs S4

9 24-Aug-14Created by Mr. Lafferty Maths Dept 0 1234567 8 910 -9-8 -7 -6 -5 -4-3-2 -10 x y 1 2 3 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = x y = 2x y = 3x y = 0.5x xyxy 0 0 2 2 6 6 xyxy 0 0 3 6 4 8 xyxy 0 0 1 3 2 6 xyxy 0 0 4 2 8 4 Straight Line Graphs y = ax

10 24-Aug-14Created by Mr.Lafferty Maths Dept Now tryEx2 Ch6 (page 68) www.mathsrevision.com Straight Line Graphs S4

11 Q1.Calculate 40 – 30 x 2 24-Aug-14Created by Mr.Lafferty Maths Dept Starter Questions www.mathsrevision.com S4

12 24-Aug-14Created by Mr.Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 2.Identity the gradient m from the standard form. 1.To explain the connection between the straight line equation and the gradient. 1.Understand the term standard form. The Straight Line Equation S4

13 24-Aug-14Created by Mr.Lafferty Maths Dept www.mathsrevision.com Key Points 1.Make a table 2.Calculate and plot 3 coordinates 3. Draw a line through points Straight Line Graphs S4

14 24-Aug-14Created by Mr. Lafferty Maths Dept 0 1234567 8 910 -9-8 -7 -6 -5 -4-3-2 -10 x y 1 2 3 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = x y = 2x y = 3x y = 5x xyxy 0 0 2 2 6 6 xyxy 0 0 3 6 4 8 xyxy 0 0 1 3 2 6 xyxy 0 0 1 5 2 10 Drawing Straight Line Graphs y = ax

15 24-Aug-14Created by Mr.Lafferty Maths Dept Now try Ex 3 Ch6 (page 70) www.mathsrevision.com The Gradient of a Line S4

16 24-Aug-14Created by Mr.Lafferty Maths Dept Starter Questions www.mathsrevision.com Factorise 5x + 10 S4

17 24-Aug-14Created by Mr.Lafferty Maths Dept www.mathsrevision.com Learning Intention Success Criteria 1.To explain the draw straight lines of the form y = ax + b. 1.Be able to draw straight lines of the form y = ax + b The Straight Line Equation S4

18 24-Aug-14Created by Mr.Lafferty Maths Dept www.mathsrevision.com Key Points 1.Make a table 2.Calculate and plot 3 coordinates 3. Draw a line through points Straight Line Graphs S4

19 24-Aug-14Created by Mr. Lafferty Maths Dept 0 1234567 8 910 -9-8 -7 -6 -5 -4-3-2 -10 x y 1 2 3 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = x y = 2x + 3 y = 3x+1 y = x - 3 xyxy 0 0 2 2 4 4 xyxy 0 3 1 5 2 7 xyxy 0 1 1 4 2 7 xyxy 0 -3 4 1 8 5 Drawing Straight Line Graphs y = ax + b

20 24-Aug-14Created by Mr.Lafferty Maths Dept 74123568 10 0 1 2 3 4 5 6 7 8 9 9 x All straight lines have the equation of the form y = mx + c Gradient Where line meets y-axis y www.mathsrevision.com Straight Line Equation Find the equations of the following lines y = xy = x+4 lines are parallel if they have the same gradient y = 4x+2 y = -0.5x+2 S4

21 24-Aug-14Created by Mr.Lafferty Maths Dept Now try MIA Ex 4 Ch6 (page 73) www.mathsrevision.com Straight Line Equation S4


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