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All pupils can define a linear equation

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Presentation on theme: "All pupils can define a linear equation"— Presentation transcript:

1 All pupils can define a linear equation
Linear Equations L.O. All pupils can define a linear equation All pupils notice links between the equations and the graphs of linear functions All pupils can clearly describe how the equation affects the graph of linear functions

2 Key Words: Linear Functions Equation

3 All pupils can define a linear equation
Linear Equations L.O. All pupils can define a linear equation All pupils notice links between the equations and the graphs of linear functions All pupils can clearly describe how the equation affects the graph of linear functions

4 links between the equations and the graphs of linear functions
Main 1: links between the equations and the graphs of linear functions Using a table of values, plot each of these graphs accurately: Y = 4x – 3 Y = 2x + 1 Y = 0.5x – 5 Y = 0.25x +2 X Y 3 2 1 -1 -2 -3 Ext. What do you notice about the relationship between the plotted graph and the equation of the line?

5 All pupils can define a linear equation
Linear Equations L.O. All pupils can define a linear equation All pupils notice links between the equations and the graphs of linear functions All pupils can clearly describe how the equation affects the graph of linear functions

6 This is the general form of a linear equation: y = mx + c
Main 2: describe how the equation affects the graph of linear functions This is the general form of a linear equation: y = mx + c What does the m do to the graph? What does the c do to the graph?

7 m = gradient; the bigger the value of m, the steeper the line
Main 2: describe how the equation affects the graph of linear functions y = mx + c m = gradient; the bigger the value of m, the steeper the line c = y intercept; this is the y value when the line cuts through the y axis.

8 All pupils can define a linear equation
Linear Equations L.O. All pupils can define a linear equation All pupils notice links between the equations and the graphs of linear functions All pupils can clearly describe how the equation affects the graph of linear functions

9 Plenary:

10 All pupils can define a linear equation
Linear Equations L.O. All pupils can define a linear equation All pupils notice links between the equations and the graphs of linear functions All pupils can clearly describe how the equation affects the graph of linear functions

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