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Entry Activity
Rearrange the following equations to put them in the form y = mx + c
a) 2x + y = 5
b) 3 = 7x – y
c) 15 – y = 3x
d) 2y = 4x – 6
e) 9x – 3y = 12
f) 2(x – y) = 4
g) 3(y- x) = 0
Entry Activity
Rearrange the following equations to put them in the form y = mx + c
a) 2x + y = 5 y = 2x + 5
b) 3 = 7x – y y = 7x - 3
c) 15 – y = 3x -y = 3x – 15 which is y = -3x + 15
d) 2y = 4x – 6 y = 2x - 3
e) 9x – 3y = 12 y = 3x - 4
f) 2(x – y) = 4 2x – 2y = 4 which is y = x - 4
g) 3(y- x) = 0 3y – 3x = 0 which is y = x
To identify lines of linear equations
Grade C
Challenge Objective: To construct graphs of linear equations Grade C/B
EDCC Objective: To work independently and in a group.
Key Words:
Linear, Equation, Gradient, Axis, Axes, y intercept, Change, Co-ordinate
y = mx + cSuccess Criteria – graphs of linear equations
1) Calculate the gradient using the following formulachange in y (the gradient is the mchange in x in the equation above).
2) Look at the y-intercept this shows you the constant term (c in the above equation).
3) Put the equation together in the form y = mx + c.
To identify lines of linear equations Grade C
Using the success criteria from last lesson, in pairs match the equations
to the graphs.
You may need to rearrange the formulas into the form y=mx+c
Write down the strategies you have used to match them and any clues!
To identify lines of linear equations Grade C
Graphs of Function Equation
A y = -x + 3, y + x = 3
B y = x + 3
C y = 2x - 3
D y = 3x
E y = ½x + 3
F y = x² + 3
G x = 3
H y = 3
I y = ¾x + 3, 3x + 4y = 12
J y = 2x + 3, The line parallel to...
To identify lines of linear equations
Grade C
Challenge Objective: To construct graphs of linear equations Grade C/B
EDCC Objective: To work independently and in a group.
Key Words:
Linear, Equation, Gradient, Axis, Axes, y intercept, Change, Co-ordinate
To construct graphs of linear equations Grade C
Draw the graph of the equation of the line
(without plotting the points, if possible).
• y = 2x – 3
• y = ½x + 3
• y = 3x – 4
• y = -2x – 3
To identify lines of linear equations
Grade C
Challenge Objective: To construct graphs of linear equations Grade C/B
EDCC Objective: To work independently and in a group.
Key Words:
Linear, Equation, Gradient, Axis, Axes, y intercept, Change, Co-ordinate
To construct graphs of linear equations Grade C/B
Can you rearrange the equations?
YES NO
Do the grade B questions.Do the hardest you can.THIS IS GCSE GRADE B
Do the grade C questions.Do the hardest you can.THIS IS GCSE GRADE C
Gra
de
C
Gra
de
B
Plenary
I can identify lines of linear equations Grade CI can construct graphs of linear equations Grade C/B
Construct the graph of y = 2x - 4
Slides that follow are to print off to give to the students as
worksheets!!!!
Print slides 15 to 20 as handouts with 2 per page and photocopy
double sided.
Entry Activity
Rearrange the following equations to put them in the form y = mx + c
a) 2x + y = 5
b) 3 = 7x – y
c) 15 – y = 3x
d) 2y = 4x – 6
e) 9x – 3y = 12
f) 2(x – y) = 4
g) 3(y- x) = 0
To construct graphs of linear equations Grade C/B
Draw the graph of the equation of the line
(without plotting the points, if possible).
• y = 2x – 3
• y = ½x + 3
• y = 3x – 4
• y = -2x – 3
Plenary
I can identify lines of linear equations Grade CI can construct graphs of linear equations Grade C/B
Construct the graph of y = 2x - 4
Homework
f:x and f(x) mean the same as y =
Homework Answers i) The gradientii) The y intercept
Gra
de
C
Gra
de
B
Homework Answers i) The gradientii) The y intercept
Homework Answers i) The gradientii) The y intercept
Homework Answers i) The gradientii) The y intercept
Homework Answers i) The gradientii) The y intercept
Homework Answers i) The gradientii) The y intercept
Homework Answers i) The gradientii) The y intercept
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