Interactive Lessons

Search over 850 fully planned, interactive, differentiated mathematics lessons designed to engage and inspire your students.

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Ages 16 +

Partial Fractions – Repeated Linear Factors

How to split a fraction with a repeated linear factor into partial fractions.

Ages 16 +

Partial Fractions

How split a fraction with two more linear factors into partial fractions.

Ages 16 +

Algebraic Fractions and Mixed Numbers

How to simplify algebraic products and divisions by cross-simplifying.

Ages 16 +

Proof by Contradiction

How to prove mathematical statements through the method of contradiction.

Ages 16 +

Solving First Order Differential Equations

How to solve first order differential equation by separation of variables.

Ages 16 +

Forming First Order Differential Equations

How to form differential equations from direct proportion.

Ages 16 +

Trapezium Rule of Integration

How to approximate the area under a curve using the trapezium rule.

Ages 16 +

Areas Enclosed within Curves

How to apply the most efficient method of integration to find an enclosed area.

Ages 16 +

Integration with Partial Fractions

How to integrate functions using partial fractions.

Ages 16 +

Integration by Parts

Students learn to recognise when and how to integrate by parts.

Ages 16 +

Integration by Substitution

How to integrate complex functions using substitution.

Ages 16 +

Integration using Reverse Chain Rule

How to integrate complex functions using the reverse chain rule method.

Ages 16 +

Integration with Trigonometric Identities

How to use the double angle formulae to integrate various trigonometric functions.

Ages 16 +

Integrating (ax + b)^n

How to integrate functions of the form (ax + b)^n using the reverse chain rule.

Ages 16 +

Integrating Standard Functions

How to integrate various functions using their standard integrals.

Ages 16 +

Parabola and Rectangular Hyperbola Loci

Further Pure 1: Finding the locus of points equidistant from a point and line.