GCSE Shape Lessons

2D Shapes / 3D Shapes / Angle Properties / Circles / Compound Measures / Construction and Loci / Perimeter and Area / Pythagoras’ Theorem / Similarity / Transformations / Trigonometry / Units of Measure / Vectors / Volume and Surface Area

2D Shapes

Shape
Properties of Quadrilaterals
Shape
Parts of a Circle
Shape
Properties of 2D Shapes

Back to top

3D Shapes

Shape
Nets of Solids
Shape
Isometric Drawings
Shape
Elevation Drawings
Shape
Properties of 3D Shapes

Back to top

Angle Properties

Shape
Applying Circle Theorems Involving Tangents
Shape
Applying Multiple Circle Theorems
Shape
Angles in a Quadrilateral
Shape
Angles in Parallel Lines
Shape
Problems with Angles in Parallel Lines
Shape
Angles about a Point
Shape
Angles in a Triangle
Shape
Bearings and Scale Drawings
Shape
Drawing and Measuring Angles
Shape
Constructing Regular Polygons
Shape
Interior and Exterior Angles
Shape
Circle Theorems
Shape
Tangents Circle Theorems

Back to top

Circles

Shape
Arc Length of Sectors
Shape
Area of Sectors
Algebra
Manipulating Sectors Formulae
Shape
Circumference of Circles Problems
Shape
Circumference of Circles
Shape
Area of Circles Problems
Shape
Area of Circles

Back to top

Compound Measures

Shape
Complex Problems Involving Speed
Shape
Distance Vs Time Graphs
Shape
Speed Vs Time Graphs
Shape
Speed as a Compound Measure
Shape
Pressure
Shape
Density

Back to top

Construction and Loci

Shape
Constructing Angle Bisectors
Shape
Constructions – Angle, Side, Angle
Shape
Constructions – Side, Angle, Side
Shape
Constructions – Side, Side, Side
Shape
Constructing Loci and Regions
Shape
Constructing Loci and Equidistant Paths

Back to top

Perimeter and Area

Shape
Area of Parallelograms and Trapezia
Shape
Perimeter of Shapes
Shape
Area of Irregular Shapes
Shape
Area of Composite Shapes
Shape
Circumference of Circles Problems
Shape
Circumference of Circles
Shape
Area of Triangles
Shape
Area of Rectangles
Shape
Area of Circles Problems
Shape
Area of Circles

Back to top

Pythagoras’ Theorem

Shape
Pythagoras’ Theorem in 3D
Shape
Pythagoras’ Theorem – Finding the Hypotenuse
Shape
Pythagoras’ Theorem – Shorter Sides
Shape
Introducing Pythagoras’ Theorem

Back to top

Similarity

Shape
Volume of Similar Shapes and Volume Scale Factor
Shape
Calculating lengths in similar shapes
Shape
Similar Shapes Calculations
Shape
Similar Areas
Shape
Congruence

Back to top

Transformations

Shape
Rotational Symmetry
Shape
Reflective Symmetry
Shape
Enlarging Shapes to a Scale Factor
Shape
Translating Shapes
Shape
Rotating Shapes
Shape
Describing Transformations
Shape
Enlargements on a Grid
Shape
Enlarging Shapes to a Negative Scale Factor
Shape
Reflections on a Grid
Shape
Rotations on a Grid
Shape
Translations using Vector Notation

Back to top

Trigonometry

Shape
Exact Trigonometric Solutions
Shape
3D Trigonometry
Shape
Cosine Rule – Finding Angles
Shape
Cosine Rule – Finding Lengths
Shape
Sine Rule
Shape
Trigonometry – Angles in Right-Angled Triangles
Shape
Trigonometry – Area of Triangles
Shape
Trigonometrical Graphs
Shape
Trigonometry Introduction
Shape
Trigonometry – Lengths in Right-Angled Triangles
Shape
Trigonometry – Problems with Right-Angled Triangles

Back to top

Units of Measure

Shape
Metric Units of Area and Volume
Number
Converting Between Imperial and Metric Units
Number
Converting Between Imperial Units
Number
Converting Between Metric Units
Number
Conversion Graphs
Number
Time Conversions

Back to top

Vectors

Shape
Addition and Subtraction with Column Vectors
Shape
Vector Problems with Ratio
Shape
Geometrical Proof with Vectors
Shape
Vector Addition and Subtraction

Back to top

Volume and Surface Area

Shape
Metric Units of Area and Volume
Shape
Surface Area of Square Based Pyramids
Number
Volume of a Cone
Shape
Surface Area of a Cone
Shape
Cylinder Total Surface Area And Volume
Shape
Volume and Surface Area of Spheres
Shape
Total Surface Area of Prisms
Shape
Total Surface Area and Volume Investigation
Shape
Volume of Cuboids and Prisms
Shape
Volume of Pyramids

Back to top

Mr Mathematics Blog

Reflective Symmetry in 2D Shapes

Key Stage 3 lesson on identifying lines of reflective symmetry in 2D shapes.

Equation of Parallel and Perpendicular Lines

How to find the equation of parallel and perpendicular straight line graphs at A-Level.

Gradient and Midpoint of Line Segments

AS Mathematics – How to work out the gradient and midpoint of line segments.