Functions

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Functions

Estimating the Area Under a Curve

Students learn about estimating the area under a curve using the trapezium rule.  As learning progresses they in...

Instantaneous Rates of Change

Students learn how to calculate and interpret instantaneous rates of change in different contexts.  By drawing a...

Revising Area Under a Curve

Students revise how to estimate the distance travelled in a speed-time graph by finding the area under a curve. ...

Revising Function Notation and Composite Functions

Students revise how to substitute known values and expressions into basic and composite functions.  As learning ...

Revising Gradients of Curves

Students revise how to estimate the gradient at a point along a curve.  As learning progresses they link this to...

Revising Inverse and Composite Functions

Students revise how to find the inverse of a function using the correct notation.  Later, as learning progresses...

Revising Transforming Graphs

Students revise how to perform vertical and horizontal translations of graphical functions.  Later, as learning ...

Using Parabolas to Solve Quadratic Equations

Students learn how to find the solutions to a quadratic equation using graphs.  Learning progresses from solving...

Working with Functions

Students learn how to use the correct notation to calculate outputs and inputs for complex functions.  As learni...

Translating Functions

Students learn how to perform and describe graphical transformations in the form f(x+a) for horizontal translati...

Stretching Functions

Students learn how to transform a graph through a horizontal stretch in the form f(ax) or vertical stretch in th...

Solving Equations Through Iteration

Students learn how to use numerical methods to solve equations through iteration.  As learning progresses they a...

Inverse Functions

In this mathematics lesson students learn how to find the inverse of a function using function machines.  As lea...

Composite Functions

In this mathematics lesson students learn how to find the output of composite functions using the correct notati...

Mr Mathematics Blog

Deep Dive Mathematics Inspection

My experience as a Head of Mathematics going through the deep dive OFSTED inspection.

Calculating a Reverse Percentage

How to use ratios and proportional reasoning as a model for finding the original amount after a percentage change.

Area of Compound Shapes

To find the area of compound shapes students need to understand what the word compound means.