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June 2025: Exciting New Mathematics Resources and Updates! - Mr-Mathematics.com
As exam season comes to a close, many of us are already thinking ahead to September. Whether you’re planning a fresh scheme of work or refining your current syllabus, now is a great time to explore the updated Schemes of Work page. You’ll find complete long-term plans for Key Stages 3, 4, and 5, or […]
Core Pure 1: Matrices - Mr-Mathematics.com
Lesson 1. Addition and Subtraction with Matrices This lesson introduces basic matrix concepts. You’ll learn how to identify types of matrices, state their order, and perform addition and subtraction of matrices. Teacher’s tip: Always check the matrix dimensions before adding or subtracting—operations only work when the sizes match exactly. Download Worksheet Online Lesson Lesson 2. […]
Core Pure 1: Linear Transformations - Mr-Mathematics.com
Lesson 1: Rotations and Reflections This lesson introduces linear transformations using matrices, focusing on rotations and reflections about the origin and key axes or lines. Teacher’s tip: Always sketch the object and transformation—it makes it easier to check if your matrix and resulting coordinates make sense. Lesson 2: Performing Enlargements using Matrices This lesson focuses […]
Core Pure 1: Volumes of Revolution - Mr-Mathematics.com
Lesson 1. Volumes of Revolution about x-axis This lesson introduces the volume of a solid formed by rotating a curve around the x-axis. You’ll use the formula to find exact volumes. Teacher’s tip: Always square the function before integrating—don’t forget the pi out front or the correct limits of integration. Download Worksheet Online Lesson Lesson […]
Trial: Writing with algebraic notation - Mr-Mathematics.com
Scheme of work: Key Stage 3 Prerequisite Knowledge Key Concepts Working Mathematically Subject Content Main Lessons Lesson 1. Writing Expressions using Diagrams Students learn about writing expressions using diagrams. As learning progresses they create their own shapes from an expression. Lesson Links Related Blog Teaching Algebraic Notation Lesson 2. Writing Expressions using Keywords Students learn […]
Core Pure 1: Roots of Polynomials - Mr-Mathematics.com
Lesson 1. Roots of a Quadratic Equation This lesson focuses on relationships between the roots of a quadratic equation. You’ll learn to find sums, products, and expressions involving roots without solving the equation. Teacher’s tip: Use as your go-to shortcuts—they simplify everything. Download Worksheet Online Lesson Lesson 2: Roots of a Cubic Equation This lesson […]
Core Pure 1: Sums of Series - Mr-Mathematics.com
Lesson 1. Sums of Natural Numbers This lesson introduces summing sequences using sigma notation. You’ll practise expressing patterns as series, evaluating sums, and using formulas like . Teacher’s tip: Always identify the first and last term clearly—it helps avoid mistakes with limits and indexing in sigma notation. Download Worksheet Online Lesson Lesson 2. Sums of […]
Core Pure 1: Argand Diagrams - Mr-Mathematics.com
Lesson 1. Introducing Argand Diagrams This lesson introduces Argand diagrams and the modulus-argument form of complex numbers. You’ll learn to plot complex numbers, calculate distances (moduli), and find arguments in radians. Teacher’s tip: Always sketch the position first—knowing the quadrant helps you get the argument’s sign and angle right. Download Worksheet Online Lesson Lesson 2. […]
Core Pure 1: Complex Numbers - Mr-Mathematics.com
Lesson 1. Imaginary Numbers This lesson introduces imaginary numbers, where i =√-1. You’ll learn to simplify square roots of negatives, add and multiply complex numbers, and solve quadratics with complex solutions. Watch for sign errors and remember i^2 = -1. Teacher’s tip: Powers of i repeat every four—use that to simplify quickly. Download Worksheet Online […]
A-Level Mathematics: Sequences and Series - Mr-Mathematics.com
Video Tutorial Lesson Description Students learn how to model real-world problems using sequences and series, such as bouncing balls and loan repayments. They apply geometric and arithmetic sequences to calculate totals, compare options, and make predictions. As learning progresses, students solve equations, interpret model limitations, and explore practical applications.