Year 10 Term 5

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Year 10 Term 5

Shape: Interactive Lessons
GCSE Maths problem finding area of triangle ABC with sides 5cm and 7cm, included angle 40°. Area formula =½ab sin C shown. Pink triangle diagram asking students to calculate area using sine formula for non-right-angled triangles.
Ages 14 - 16

Trigonometry – Area of Triangles

Students learn how to derive and apply the area formulae for non-right-angles.
Shape: Interactive Lessons
GCSE Mathematics sine rule problem showing triangle ABC with angles A=40°, B=52°, side a=3cm. Formula SinA/a=SinB/b=SinC/c displayed. Students find missing side length b using the sine rule for non-right-angled triangles.
Ages 14 - 16

Sine Rule

Students learn how to derive and apply the Sine rule to find missing angle in triangular shapes.
Shape: Interactive Lessons
Introducing Pythagoras Theorem
Ages 14 - 16

Introducing Pythagoras Theorem

Students discover Pythagoras' Theorem through construction of Pythagorean triples.
Shape: Interactive Lessons
Pythagoras Theorem Shorter Sides
Ages 14 - 16

Pythagoras Theorem Shorter Sides

How to calculate a shorter side of a right-angled triangle using Pythagoras' Theorem.
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.
Algebra: Interactive Lessons
A GCSE Higher Maths worksheet problem asking to complete values for $y = x^2 - 3$, draw the graph on the provided grid, and use line-intersection methods to estimate solutions for x^2 - 2x - 2 = 0
Ages 14 - 16

Plotting Quadratic Functions

Students learn how to plot a quadratic graph using a table of results.
Algebra: Interactive Lessons
Plotting Reciprocal Functions
Ages 14 - 16

Plotting Reciprocal Functions

How to plot reciprocal graphs from a table of results.
Algebra: Interactive Lessons
Equation of Circles
Ages 14 - 16

Equation of Circles

How to derive the equation of circles on Cartesian axes.
Algebra: Interactive Lessons
Deriving the Equation of Tangents
Ages 14 - 16

Deriving the Equation of Tangents

How to find the equation of a tangent to a curve and circle.
Algebra: Interactive Lessons
Plotting Exponential Graphs
Ages 14 - 16

Plotting Exponential Graphs

How to plot exponential graphs from a table of results.
Algebra: Interactive Lessons
Solving Quadratic Equations Graphically
Ages 14 - 16

Solving Quadratic Equations Graphically

How to estimate the solutions to a quadratic equation using graphs.
Algebra: Interactive Lessons
Solving Cubic and Reciprocal Equations Graphically
Ages 14 - 16

Solving Cubic and Reciprocal Equations Graphically

How to solve cubic and reciprocal equations using graphical methods.
Algebra: Interactive Lessons
Plotting Straight Lines from Two Points
Ages 14 - 16

Plotting Straight Lines from Two Points

Students learn how to plot the equation of a straight line using two points.
Algebra: Interactive Lessons
Gradient of Straight Line Graphs
Ages 14 - 16

Gradient of Straight Line Graphs

Students learn how to work out the gradient of straight-line graphs.

Mr Mathematics Blog

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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.

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How to teach converting between fractions, decimals and percentages.

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

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Four problem solving lessons to develop student's mathematical reasoning and communication skills.