All pupils can define a linear equation

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Presentation transcript:

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

Key Words: Linear Functions Equation

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

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?

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

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?

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.

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

Plenary:

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