This course starts on the 10th January 2026
2. Algebra & Graphs
01
Expand & Factorise Brackets
What if algebra was like following a recipe you could reverse?
Expanding and factorising brackets teaches you to manipulate expressions both ways – building them up and breaking them down. Mastering these techniques is like learning a superpower that unlocks equation-solving, formula manipulation and pattern recognition.
These core skills prepare you for quadratic equations and advanced formula work, while developing the reasoning that makes complex problems suddenly achievable.
02
Solving Linear Equations
Think of algebra as detective work: you have clues (the equation) and you need to find the mystery value that makes everything balance.
Linear-equation solving builds systematic thinking and provides reliable strategies for finding exact solutions. Handling unknowns, fractions and brackets boosts your confidence in logical reasoning – a skill that extends far beyond maths.
These techniques lay the groundwork for simultaneous equations and modelling, while sharpening analytical skills valuable in all subjects.
03
Linear Graphs & Coordinates
Have you noticed how GPS navigation turns your journey into lines on a map?
Linear graphs and coordinates connect equations with visual representations, making abstract relationships clear and intuitive. Plotting straight lines, interpreting gradients and understanding how equations translate to graphs builds spatial reasoning and analytical skills.
This graphical fluency prepares you for quadratic curves and transformations, while developing data-interpretation skills essential for understanding trends in science, economics and social media.
04
Linear Sequences
Can you spot the next number in the pattern 3, 7, 11, 15…?
Linear sequences train you to recognise patterns and express them with formulas. Finding the nth term transforms you from someone who can continue a sequence to someone who can predict any term instantly.
These skills link neatly with coordinate graphing and formula manipulation, building the reasoning needed to model growth, change and relationships in real-world contexts.
05
Introduction to Inequalities
Sometimes, “good enough” beats exact – and maths has the tools for that too!
Inequalities extend equation-solving to express ranges of solutions and constraints, vital for optimisation and real-world problems. Understanding inequality symbols and representing solutions on a number line builds confidence in modelling beyond simple equality.
These skills prepare you for graphical inequalities and constraint problems, equipping you for everything from optimal gaming strategies to economic and scientific models.
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