Drawing Linear Graphs Starter: Multiplying Negative Numbers (1) -3 x 4 = (4) -2 + 2 = (7) -6 x 4 + 4 = (10) -3 x 3 +9 = (13) 7 x -4 +2 = (16) 4 x -4 +9.

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Presentation transcript:

Drawing Linear Graphs Starter: Multiplying Negative Numbers (1) -3 x 4 = (4) = (7) -6 x = (10) -3 x 3 +9 = (13) 7 x = (16) 4 x = (19) -2 x = (2) 7 x 4 = (5) -3 x 4 = (8) -2 x -4 = (11) -2 x 8 -5 = (14) 3 x -7 = (17) -3 x 4 +6 = (20) -3 x 3 +3 = (3) -2 x 9 = (6) -4 x 5 = (9) -9 x 4 = (10) -5 x = (11) 9 x 3 -4 = (12) -2 x = (13) -3 x =

Drawing Linear Graphs Objective: Be able to draw linear graphs Outcomes Must: Substitute negative integers into function (positive gradients). Should: Draw linear graphs (positive gradients). Could: Sketch graphs

Drawing Graphs (positive gradients) Y = 2x + 1 x y Y = 2x + 2 x y x y x y

x y (1) Y = 3x + 2 x y (2) Y = 2x + 5 x y (3) Y = 3x -3 x y (4) Y = 2x + 10 x y (5) Y = 4x + 1 x y (1) Y = 3x (2) Y = 2x (3) Y = 3x (4) Y =2x (5) Y =4x+1 Starter:

x y y = x y = 2x y = 3x y = ½x x y 0  0 3  3 -4  -4 x y 0  0 3  6 -4  -8 x y 0  0 2  6 -3  -9 x y 0  0 8  4 4  2 Drawing Straight Line Graphs Use grid 1 to draw 4 graphs with me.

Drawing Graphs Y = 3x - 2 x y Y = 2x - 4 x y x y x y

Drawing Linear Graphs Objective: Be able to draw linear graphs Outcomes Must: Substitute negative integers into function (negative gradients). Should: Plot the linear graphs (negative gradients). Could: Sketch graphs and understand the relationship between the positive and negative slope of the line

Drawing Graphs (negative gradients) Y = -2x + 1 x y Y = -2x + 2 x y x y x y

x y (1) Y = -3x + 2 x y (2) Y = -2x + 5 x y (3) Y = -3x -3 x y (4) Y = -2x + 10 x y (5) Y = -4x + 1 x y

x y y = -x y = -2x y = -3x + 4 y = -½x - 3 x y 0  0 5   6 x y 0  0 3   10 0  4 4   10 0  -3 8   1 x y

Sketching Graphs Learning Objective: Sketching Graphs without a table of values

Sketching Graphs Y = x + 3 Y = -x + 2 The sign in front of the x tells you if the gradient is positive or negative. Positive gradient Negative gradient This tells you where the line cuts the vertical line 3 cuts the vertical line at 2 2

Gradient The Gradient is the slope. The steeper the slope of the line the lare the value of the gradient: Gradient= Distance Measured UP Distance Measured Along Dif of the Y Dif of the X

Drawing Graphs x y x y Dif of the Y Dif of the X

1. y = x y = x y = x y = x y = x y = x y = -x y = -x y = -x y = 2x + 5 Starter: sketch the graph of each of the equation