Sketching Straight Line Graphs Using a table of

Sketching Straight Line Graphs (Using a table of values) 31 December 2021 STRAIGHT LINE GRAPHS (Part A) Dr Zahra Sayed

Sketching Straight Line Graphs (Using a table of values) 31 December 2021 Lesson Objectives: - Plot co-ordinates in all four quadrants. - Able to complete a table of values. - Plot a straight line graph.

Sketching Straight Line Graphs (Using a table of values) 31 December 2021 Starter Activity Complete the co-ordinates task!

Sketching Straight Line Graphs (Using a table of values) 31 December 2021 Given an equation, we can find coordinate points for that equation by constructing a table of values. Suppose we want to plot points for: y=x+3 We can use a table as follows: x – 3 – 2 – 1 0 1 2 3 y = x +3 0 1 2 3 4 5 6 (2, 5) (3, 6) (– 3, 0) (– 2, 1) (– 1, 2) (0, 3) (1, 4)

Sketching Straight Line Graphs (Using a table of values) 31 December 2021 Group Activity Match the equations on the dominoes to the coordinates that are on the line! Hint: Draw a table of values for each question. Extension: Can you sketch any of them?

Sketching Straight Line Graphs (Using a table of values) Y=3 X+1 (0, 1) (3, 10) (-1, -2) Y=6 (2, 6) (0, 6) (-3, 6) X=4 (4, 0) (4, 2) (4, -3) Y=X (2, 2) (0, 0) (-1, -1) X+Y=4 (0, 4) (5, -1) (2, 2) Y=X+1 (3, 4) (5, 6) (-2, -1) Y=-1 (3, -1) (0, -1) (4, -1) 31 December 2021 Y=2 X-1 (4, 7) (6, 11) (0, -1) Y=1 -2 X (1, -1) (0, 1) (5, 9) X+Y=6 (3, 3) (0, 6) (-1, 7) Y=0 (2, 0) (5, 0) (-3, 0) Y=2 X+1 (2, 5) (0, 1) (-3, -5) Y=4 X (1, 4) (2, 8) (0, 0) X=2 (2, 3) (2, 4) (2, 7) X+Y=10 (4, -6) (2, 8) (11, -1) Y=X-5 (2, -3) (4, -1) (8, 3) Y=X+4 (1, 5) (4, 8) (-1, 3) X=5 (5, 3) (5, 0) (5, -1) Y=2 -X (1, 1) (2, 0) (6, -4) X=-3 (-3, 1) (-3, 4) (-3, -2)

Sketching Straight Line Graphs (Using a table of values) x 1) Complete a table of values: – 3 – 2 – 1 0 1 2 y = x +3 2) Plot the points on a coordinate grid. 31 December 2021 0 1 3 2 4 3 5 (– 3, 0) (– 2, 1) (– 1, 2) (0, 3) (1, 4) 6 (2, 5) (3, 6) y 3) Draw a straight line through the points. 10 9 8 4) Label the line. y = x + 3 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 1 0 x

Sketching Straight Line Graphs (Using a table of values) x 1) Complete a table of values: – 3 y = 3 x + 1 – 2 -8 31 December 2021 – 1 -5 0 -2 1 1 4 (-3, -8)(-2, -5) (-1, -2) (0, 1) y 2) Plot the points on a coordinate grid. 2 3 10 7 (1, 4) (2, 7) (3, 10) 10 y = 3 x + 1 9 3) Draw a straight line through the points. 8 7 6 4) Label the line. 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 1 0 x