# Algebra

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# Algebra

There are several examples for the teacher to demonstrate solving quadratic equations graphically.  Students wil...

## Plotting Exponential Graphs

In this mathematics lesson students learn how to plot exponential graphs on Cartesian axes.  As learning progres...

## Deriving the Equation of Tangents

In this mathematics lesson students progress from drawing and finding the equation of a circle to calculating th...

## Equation of Circles

In this mathematics lesson students learn how to apply Pythagoras' Theorem to plot and derive the equation of c...

## Plotting Reciprocal Functions

Students learn about plotting reciprocal functions using a table of results and choosing suitable axes.  As lear...

Students learn about plotting quadratic functions by completing a table of results and choosing a suitable scale...

## Plotting Cubic Functions

Students learn how to plot cubic functions by completing a table of results and choosing appropriate axes.  As l...

## 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...

## Equations with Algebraic Fractions

Students learn how to solve equations with algebraic fractions by finding common denominators and using the bala...

## Simplifying Algebraic Fractions

When simplifying algebraic fractions students first need to be able to factorize and expand linear as well as qu...

### 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.