Interactive Lessons

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

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Ages 16 +

Binomial Expansion with Partial Fractions

A-Level Mathematics: how to use partial fractions and the binomial expansion to simplify complex algebraic fract...

Ages 16 +

Expanding (a + bx)^n

A-Level Mathematics: how to expand an expression in the form (a + bx)n using the binomial expansion.

Ages 16 +

Modelling with Sequences

A-Level Mathematics: How to model real-life problems with sequences and series.

Ages 16 +

Recurrence Relations

A-Level Mathematics: How to generate a sequence from a recurrence relations.

Ages 16 +

Sigma Notation

A-Level Mathematics: How to use sigma notation to problem-solve with series.

Ages 16 +

Sum to Infinity of a Geometric Series

A-Level Mathematics: How to find the sum to infinity of a geometric series.

Ages 16 +

Geometric Series

A-Level Mathematics: How to derive and apply the formula for the sum of an geometric series.

Ages 16 +

Problem Solving with Geometric Sequences

A-Level Mathematics: Problem solving with geometric sequences.

Ages 16 +

Arithmetic Series

A-Level Mathematics: How to derive and apply the formula for the sum of an arithmetic series.

Ages 16 +

Arithmetic Sequences

A-Level Mathematics: Problem-solving with arithmetic sequences.

Ages 16 +

Series Expansion of Compound Functions

How to find series expansions of compound functions.

Ages 16 +

Maclaurin Series

How to express functions as an infinite series of powers using the Maclaurin series.

Ages 16 +

Higher Derivatives

How to find higher level derivatives of complex functions.

Ages 16 +

Method of Differences

How to find the sum of a series using the method of differences.

Ages 16 +

Sums of Natural Numbers

How to derive and use the formula for the sum of the first n natural numbers.

Ages 16 +

Sums of Squares and Cubes

How to find the sum of squares and cubes of the first n natural numbers.