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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 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 Q1.Calculate 7 – 5 x 2 Q2.Calculate S Q3.Is this triangle right angled ? Explain

3 24-Aug-14Created by Mr.Lafferty Maths Dept 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 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 The Gradient S4

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

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

8 24-Aug-14Created by Mr.Lafferty Maths Dept 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 x y y = x y = 2x y = 3x y = 0.5x xyxy xyxy xyxy xyxy Straight Line Graphs y = ax

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

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

12 24-Aug-14Created by Mr.Lafferty Maths Dept 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 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 x y y = x y = 2x y = 3x y = 5x xyxy xyxy xyxy xyxy Drawing Straight Line Graphs y = ax

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

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

17 24-Aug-14Created by Mr.Lafferty Maths Dept 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 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 x y y = x y = 2x + 3 y = 3x+1 y = x - 3 xyxy xyxy xyxy xyxy Drawing Straight Line Graphs y = ax + b

20 24-Aug-14Created by Mr.Lafferty Maths Dept x All straight lines have the equation of the form y = mx + c Gradient Where line meets y-axis y 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) Straight Line Equation S4


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