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Free Resources

Angles of Elevation and Depression

Students learn how to construct and use scale drawings to measure angles of elevation and depression and unknown...

Problem Solving with Number

Students practise problem solving with number using times tables, addition, subtraction and the order of operati...
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Pythagoras’ Theorem – Solving Complex Problems

Students learn how to use Pythagoras' Theorem to calculate unknown lengths in a range of problems involving rig...

Revising Equivalent Ratios

Students revise how to use equivalent ratios to solve problems involving proportional reasoning.  As learning pr...

Revising Solving Inequalities

Students revise how to solve a linear inequality and represent its solution using set notation and on a number l...

Sharing in a Given Ratio

Students learn how to divide a quantity into two or more parts when given a ratio.  As learning progresses stude...

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...

Completing the Square

The method of Completing the Square is introduced through recognising a need to solve a quadratic when it can no...

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 ...

Interpreting Histograms

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

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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Plotting Cubic Functions

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

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

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 […]

Solving Inequalities using a Number Line

Students should be able to represent the solutions to an inequality on a number line, using set notation or as a list of integer values.  Here's how I teach using the balance method for solving inequalities using a number line. Matching inequalities, Number sets and Number Lines At the start of the lesson students recap […]

Practical Tips for Using Mini-Whiteboards in a Mathematics Lesson

In this blog I will share some practical tips for using mini-whiteboards in a mathematics lesson.  I use mini-whiteboards nearly every lesson because they help the students show me the progress they are making.  When I understand what the misconceptions are I am able to address them in subsequent examples as part of my feedback.  […]