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08/10/20141 Linear Graphs Learning Intention: by the end of the lesson, students should be able to: generate coordinate pairs that satisfy a simple linear rule plot the graphs from an equation E.g.: y = 2x Success Criteria: students will know they can do this when their coordinate pairs derived from an equation produce a straight line Keywords: substitute, intercept, gradient, origin, parallel

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08/10/2014Presented By J. Mills-Dadson2 Linear Graphs Linear graphs are ______ lines straight The rule connecting x and y coordinates is of the form y = mx + c ‘m’ is the gradient : how flat or how steep the graph should be ‘c’ is the intercept: where the graph crosses the y-axis The meeting points of the x - axis and y – axis is called the origin

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08/10/2014Presented By J. Mills-Dadson3 Linear Graphs x 0123 y 1) Let us start with simple rule, y = x 0 123 x 0123 y 2) Now let’s y = x + 2 2 34 5 x 0123 y Now let’s y = 2x + 2 2 46 8 Let’s plot the coordinates of the first two rules on one grid. Join the points to draw the graph y = x y = x + 2 What can you say about the slope and where the cross the y – axis?

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08/10/2014Presented By J. Mills-Dadson4 Linear Graphs x 0123 y 2) Now let’s y = x + 2 2 345 x 0123 y Now let’s y = 2x + 2 2 468 Let’s plot the coordinates of the These two rules on one grid. Join the points to draw the graph y = x + 2 What can you say about the slope and where the cross the y – axis? y = x + 2

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08/10/2014Presented By J. Mills-Dadson5 What is the mathematical keyword used to describe the slope (flatness and steepness) of a linear graph? A originB intercept D x-axis 1,000,000 900,000 800,000 700,000 600,000 500,000 400,000 300,000 200,000 100,000 C gradient Plenary C gradient

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08/10/2014Presented By J. Mills-Dadson6 Linear graphs are : A straight lines B circles D none of the above 1,000,000 900,000 800,000 700,000 600,000 500,000 400,000 300,000 200,000 100,000 C curves Plenary A straight lines 100,000

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08/10/2014Presented By J. Mills-Dadson7 Look at y = 3x + 1. What is the value of the gradient? A 1B 4 D 3 1,000,000 900,000 800,000 700,000 600,000 500,000 400,000 300,000 200,000 100,000 C 2 Plenary D 3 200,000

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08/10/2014Presented By J. Mills-Dadson8 What is the mathematical keyword used to describe where a linear graph crosses the y-axis? A parallelB intercept D x-axis 1,000,000 900,000 800,000 700,000 600,000 500,000 400,000 300,000 200,000 100,000 C gradient Plenary B intercept 300,000

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08/10/2014Presented By J. Mills-Dadson9 Which pair of linear graphs have the same gradient (slope)? A y = 2x + 1 & y = 3x + 1 B y = 3x +2 & y = 3x +3 D all of the above 1,000,000 900,000 800,000 700,000 600,000 500,000 400,000 300,000 200,000 100,000 C y = x - 2 & y = 2x + 5 Plenary B y = 3x + 2 & y = 3x +3 400,000

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08/10/2014Presented By J. Mills-Dadson10 Look at y =x + 1. When x is 3, what would y be? A 4B 1 2 1,000,000 900,000 800,000 700,000 600,000 500,000 400,000 300,000 200,000 100,000 C 3 Plenary A 4 500,000

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08/10/2014Presented By J. Mills-Dadson11 What is the name of the point where the x-axis and the y axis meet? A originB intercept D parallel 1,000,000 900,000 800,000 700,000 600,000 500,000 400,000 300,000 200,000 100,000 C slope Plenary A origin 600,000

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08/10/2014Presented By J. Mills-Dadson12 When linear graphs cross the y - axis at different points, we say the graphs have the different……… A originsB intercepts D lengths 1,000,000 900,000 800,000 700,000 600,000 500,000 400,000 300,000 200,000 100,000 C gradients Plenary B intercepts 700,000

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08/10/2014Presented By J. Mills-Dadson13 Look at y = 2x + 2. If x is 7, what would y be? A 2B 7 D 16 1,000,000 900,000 800,000 700,000 600,000 500,000 400,000 300,000 200,000 100,000 C 14 Plenary C 16 800,000

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08/10/2014Presented By J. Mills-Dadson14 When a linear graph slopes downwards from left to right, it means the gradient is………. A 0B positive D none of the above 1,000,000 900,000 800,000 700,000 600,000 500,000 400,000 300,000 200,000 100,000 C negative Plenary C negative 900,000

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08/10/2014Presented By J. Mills-Dadson15 Look at y = -2x – 2. If x is 10, what would y be? A -10B -2 D -22 1,000,000 900,000 800,000 700,000 600,000 500,000 400,000 300,000 200,000 100,000 C -18 Plenary C -22 1,000,000

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Today’s Class Work Exercise 3A – Plotting Straight Line Graphs Q1 adgj Q2aei Q3 all Q4 Q5 Book check: 2A Linear equations 2B Worded problems 2C Substitution and transposing Redemption work: 4B Correlation coefficient 4C Two mean method 08/10/201416

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