Shape

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Shape

Shape: Interactive Lessons
Pythagoras Theorem Finding the Hypotenuse
Ages 14 - 16

Pythagoras Theorem Finding the Hypotenuse

Students learn how to use Pythagoras' Theorem to find the hypotenuse of right-angled triangles.
Shape: Interactive Lessons
GCSE Maths cosine rule lengths problem showing triangle ABC with sides b=7cm, c=9cm, angle A=60°. Formula a²=b²+c²-2bcCosA displayed. Students calculate side BC using cosine rule to find unknown side length in non-right triangle.
Ages 14 - 16

Cosine Rule – Finding Lengths

Students learn how to derive and apply the Cosine rule to find missing lengths in triangles.
Shape: Interactive Lessons
GCSE Mathematics cosine rule angles problem showing triangle ABC with sides AB=5.7cm, AC=8.7cm, BC=7.3cm. Formula CosA=(b²+c²-a²)/2bc displayed. Students calculate angle BAC using the cosine rule for finding angles in non-right triangles.
Ages 14 - 16

Cosine Rule – Finding Angles

Students learn how to derive and apply the Cosine Rule to find missing angles in triangles.
Shape: Interactive Lessons
Preview of a GCSE Higher 3D Trigonometry exam technique slide showing a triangular prism diagram with lengths 4 cm, 6 cm, an angle of 20 degrees, and prompt to calculate angle theta.
Ages 14 - 16

3D Trigonometry

Students learn how to calculate an angle and length in a 3D shape using trigonometry.
Shape: Interactive Lessons
Rotations on a Grid
Ages 14 - 16

Rotations on a Grid

Students learn how to perform rotations on a grid using a centre, direction and amount of turn.
Shape: Interactive Lessons
Reflections on a Grid
Ages 14 - 16

Reflections on a Grid

Students learn how to perform reflections on a grid using straight line graphs as the mirror line.
Shape: Interactive Lessons
Enlarging Shape to Negative Scale Factors
Ages 14 - 16

Enlarging Shapes to a Negative Scale Factor

Students learn how to perform enlargements for negative scale factors.
Shape: Interactive Lessons
Enlargements on a Grid
Ages 14 - 16

Enlargements on a Grid

Students learn how to perform and describe enlargements on a grid using a centre and scale factor.
Shape: Interactive Lessons
Describing transformations GCSE preview: trapeziums A, B and C on a coordinate grid; describe the transformations mapping A to B, B to C and A to C – Mr Mathematics lesson pack
Ages 14 - 16

Describing Transformations

Students learn how to fully describe a single transformation.
Number: Interactive Lessons
Time Conversions
Ages 14 - 16

Time Conversions

How to convert between analogue and digital time using the 12 and 24 hour clock.
Number: Interactive Lessons
GCSE Mathematics slide showing a conversion graph between British Pounds and Euros with questions asking to convert 8 pounds to Euros, 14 Euros to pounds, and find the difference between 12 pounds and 14 Euros.
Ages 14 - 16

Conversion Graphs

How to plot and interpret conversion graphs.
Number: Interactive Lessons
Converting Between Metric Units
Ages 14 - 16

Converting Between Metric Units

How to convert between metric measures using standard conversion factors.
Number: Interactive Lessons
Converting Between Imperial Units
Ages 14 - 16

Converting Between Imperial Units

How to convert between imperial measures using standard conversion factors.
Number: Interactive Lessons
Converting Between Imperial and Metric Units
Ages 14 - 16

Converting Between Imperial and Metric Units

How to convert between imperial and metric units.
Shape: Interactive Lessons
Congruence
Ages 14 - 16

Congruence

Students learn how to prove congruency using angle properties and geometrical facts.
Shape: Interactive Lessons
Similar Areas
Ages 14 - 16

Similar Areas

Students learn how to calculate areas of similar shapes using the area scale factor.

Mr Mathematics Blog

Developing Mathematical Thinking Beyond Procedural Fluency

July 10, 2026
A research-backed case exploring why over-reliance on automated math homework platforms and repetitive worksheets lowers student expectations, and how departments can build genuine mathematical thinking.

Converting Between Fractions, Decimals and Percentages

July 4, 2026
How to teach converting between fractions, decimals and percentages.

From Key Skills to Deep Connections: Problem Solving in Secondary Maths

June 28, 2026
Four problem solving lessons to develop student's mathematical reasoning and communication skills.