Introduction to Algebra
01
What is Algebra?
Variables, constants and why we use letters in maths02
Writing Algebraic Expressions
Turning words into mathematical symbols03
Substitution
Evaluating expressions by replacing variables with numbers04
Collecting Like Terms
Simplifying expressions by grouping similar terms05
Adding and Subtracting Algebraic Terms
Combining terms with the same variable06
Multiplying Algebraic Terms
Products of variables and coefficients07
Dividing Algebraic Terms
Quotients and cancelling common factorsCP
Checkpoint 1 — Introduction to Algebra
Covers Lessons 1–7Expanding and Factorising
08
Expanding Single Brackets
Distributing a term across brackets09
Expanding and Simplifying
Multiple brackets and collecting like terms10
Factorising — Common Factor
Reverse of expanding — taking out shared factorsEquations
11
What is an Equation?
Balancing both sides and the meaning of the equals sign12
Solving One-Step Equations (Add/Subtract)
Using inverse operations to isolate the variable13
Solving One-Step Equations (Multiply/Divide)
Multiplication and division equations14
Solving Two-Step Equations
Working through two operations systematically15
Equations with Brackets
Expand first, then solve16
Patterns and Sequences
Collecting variable terms together17
Finding the Rule (Function Machines)
Translating real problems into algebraCP
Checkpoint 2 — Equations
Covers Lessons 8–17Indices and Patterns
18
Coordinates and the Cartesian Plane
Powers, bases and repeated multiplication19
Graphing Linear Relationships
Multiplying, dividing and raising powers to powers20
Review and Problem Solving
Connecting all concepts and exam preparationCP
Checkpoint 3 — Indices & Synthesis
Covers Lessons 18–20QZ