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Free Lesson

Writing Expressions using Diagrams

Students learn about writing expressions using diagrams.  As learning progresses they create their own shapes fr...

Geometrical Proof with Vectors

Students learn how to use vector notation to prove geometrical facts about 2D shapes.  Throughout the lesson stu...

Coordinates in all Four Quadrants

Students learn how to plot and read coordinate pairs in all four coordinates.  As learning progresses students c...

Nets of Solids

Nets of Solids: Students learn how to visualise a solid 3D shape from its net and how different nets can create ...

Elevation Drawings

To draw elevation drawings of 3D shapes students are taught to align the front, plan and side views of cuboids a...

Circumference of Circles

Students are taken through the process of discovering the relationship between the radius, diameter and circumfe...

Interpreting Histograms

Students learn how to interpret histograms with unequal class widths at higher GCSE mathematics level.  As learn...

Equations with Fractions

At the start of the lesson students recap solving equations where the unknown appears on one side of the equals ...

Adding and Subtracting with Negative Numbers

Adding and subtracting with negative numbers is taught through the use of a number line.  As learning progresses...

Probability Experiment

Students carry out a probability experiment to explore the relationship between theoretical and experimental pro...
Free Resources

Circle Theorems

Students are taken through the discovery of various circle theorems. The theorems include, angle at the centre i...

Plotting Cubic Functions

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

Stretching Functions

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

3D Trigonometry

To solve problems involving trigonomety in 3D shapes students are taught to identify 2D right-angled triangles a...

Mean Average from Discrete Data

Students learn how to calculate the mean average of discrete data using calculator and non-calculator methods.  ...

Calculations with Limits of Accuracy

Students learn how to find the limits of accuracy in calculations using the upper and lower bounds of different ...

Mr Mathematics Blog

Mathematics OFSTED Inspection – The Deep Dive

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a 'deep dive' by each of the Lead Inspectors into Mathematics, English […]

How to Solve Quadratics by Factorising

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have.   Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]

How Write 3 Part Ratios

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out.  This is presented to the class as they come into the lesson.    Writing Equivalent Ratios  A few students immediately go […]