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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...
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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

Solving Problems with Angles in Parallel Lines

Solving problems with angles in parallel lines is like solving a murder mystery.  One clue leads on to the next and the next until the murderer is found.  However, it doesn’t end there.  The detectives need to explain their reasoning in court using the relevant laws and procedures should the murderer plead not guilty.  If […]

Solving Two Step Equations using the Balance Method

An equation is when one expression, or term, is equal to another.  To solve an equation means to find the value of the variable (represented by a letter) that makes the two expressions equal.  There are two types of equations for secondary school mathematics, linear and none-linear.  In this blog I write about how I […]

How to Simplify Surds

When learning how to simplify surds students need to understand the difference between a rational and irrational number. Rational numbers include integers and terminating and repeating decimals. They can be written as a fraction with both the numerator and denominator as integers. An irrational number is a number which, in its decimal form does not […]