GCSE

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GCSE

Rationalising Denominators

The start of the lesson reviews simplifying products and quotients involving surds since this is prerequisite kn...

Prime Factor Decomposition

Students learn how to break down a number using its prime factors and write the result using index notation.  As...

Indices with Negative Powers

Students learn how to calculate the reciprocal of a number and evaluate indices with negative powers.  As learni...

Highest Common Factor and Lowest Common Multiple

Using prime factors and Venn Diagrams students are able to calculate the highest common factor and lowest common...

Indices with Fractional Powers

Students use reciprocals to evaluate indices with fractional and decimal powers.  Using square and cube numbers ...

Adding and Subtracting Algebraic Fractions

The key idea with adding and subtracting algebraic fractions is to create common denominators.  As learning prog...

Adding Fractions with Different Denominators

To add and subtract fractions with different denominators students are taught to use equivalent fractions to fin...

Solving Quadratic Equations Graphically

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...

Plotting Quadratic Functions

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...

Describing Transformations

Students learn how to fully describe single transformations at GCSE.  Throughout the lesson students encounter t...

Mr Mathematics Blog

Literacy in Mathematics – Creating Problem Solvers

Last year my school had a OFSTED trial inspection. Whilst the maths team recieved favourable feedback the inspectors noted a need for a focus on whole school literacy. Because of this I was asked to demonstrate how we develop student's literacy in mathematics. Literacy in Mathematics By developing student's literacy in mathematics we aim to […]

Angles in Polygons

There are two key learning points when solving problems with angles in polygons.  The first is to understand why all the exterior angles of a polygon have a sum of 360°.  The second is to understand the interior and exterior angles appear on the same straight line. Students can be told these two facts and […]

Getting Ready for a New School Year

When getting ready for a new school year I have a list of priorities to work through. Knowing my team have all the information and resources they need to teach their students gives me confidence we will start the term in the best possible way.  Mathematics Teaching and Learning Folder All teachers receive a folder […]