Algebra

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Algebra

Algebra: Interactive Lessons
Piecewise Functions
Ages 16 +

Functions and Mappings

A-Level Mathematics: How to categorise the different types of function.
Algebra: Interactive Lessons
The Modulus Function
Ages 16 +

The Modulus Function

Students learn how to understand and use the modulus function.
Algebra: Interactive Lessons
A-Level mathematics optimization problem: Open-top box with square base side x cm and length y. Total cardboard area = 720 cm². Part a) Show V = (720x - 2x³)/3. Part b) Find maximum V to 1 decimal place. Part c) Justify it's a maximum using second derivative test. Modelling with differentiation exam question requiring constraint equations, substitution, and calculus. Edexcel, AQA, OCR A-Level maths.
Ages 16 +

Modelling with Differentiation

Students learn how model real-life problems using differentiation.
Algebra: Interactive Lessons
Sketching Gradient Functions
Ages 16 +

Sketching Gradient Functions

Students learn how sketch the graph of a gradient function
Algebra: Interactive Lessons
Stationary Points and the 2nd Derivative
Ages 16 +

Stationary Points and the 2nd Derivative

Students learn how find the coordinates of a stationary point on a curve.
Algebra: Interactive Lessons
Increasing and Decreasing Functions
Ages 16 +

Increasing and Decreasing Functions

Students learn how to find the range of an increasing or decreasing function.
Algebra: Interactive Lessons
Tangents and Normals to a Curve
Ages 16 +

Tangents and Normals to a Curve

Students learn how to find the equations of tangents and normals to a point on a curve.
Algebra: Interactive Lessons
Differentiating x^n
Ages 16 +

Differentiating x^n

Students learn how to differentiate equations involving powers.
Algebra: Interactive Lessons
Differentiation from First Principals
Ages 16 +

Differentiation from First Principals

How find the gradient function of a curve from first principals.
Algebra: Interactive Lessons
Second Order Derivatives
Ages 16 +

Second Order Derivatives

How to find the second-order derivative of a function.
Algebra: Interactive Lessons
Integration as the Reverse of Differentiation
Ages 16 +

Integration as the Reverse of Differentiation

How to use integration as the reverse process of differentiation.
Algebra: Interactive Lessons
Indefinite Integrals
Ages 16 +

Indefinite Integrals

How to integrate polynomials of the form xn.
Algebra: Interactive Lessons
Graph showing the area under a curve between x = 1 and x = 4 with a definite integral, illustrating a GCSE maths lesson on definite integration.
Ages 16 +

Definite Integrals

How to evaluate definite integrals.
Algebra: Interactive Lessons
Area Under a Curve
Ages 16 +

Area Under a Curve

How to find the area under a curve using definite integration.
Algebra: Interactive Lessons
Areas Under the x-axis
Ages 16 +

Areas Under the x-axis

How to find the area of a curve below the x-axis.
Algebra: Interactive Lessons
Areas Between Curves and Lines
Ages 16 +

Areas Between Curves and Lines

How to find the area between a curve and line using integration.

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.