Year 8
Structured Lessons & Homework
MODULE 2
Introduction to Linear Algebra
This module builds core number skills and covers the following chapters:
- Ch 1: Algebraic Expressions
- Ch 2: Solving Algebraic Expressions
- Ch 3: Graphing(linear graphs, gradient, intercepts)
- Ch 4: Inequalities
- Ch 5: Modelling (word problems -> equations & graphs)
Expressions
Learn how to work with algebra using variables, simplify expressions, expand brackets, and factorise to rewrite expressions efficiently.
Rational and Irrational Numbers
Learn how to identify and distinguish between rational and irrational numbers, and understand how they are represented.
Percentages, Frcations and Decimals
Convert between percentages, fractions, and decimals .
Solving Algebraic Expressions
Develop skills to solve equations step-by-step, including equations with brackets, fractions, and variables on both sides.
Solving One-Step Equations
Understand to use basic algebraic techniques for linear equations.
Multiplying Powers (Same Base)
Learn how to multiply powers by adding their indices when the base is the same.
Zero Index Law
Understand why any non-zero number raised to the power of zero equals one.
Dividing Powers (Same Base)
Learn how to divide powers by subtracting their indices when the base is the same.
Power of a power
Learn how to raise a power to another power by multiplying the indices.
Mixed exponent problems:
Apply multiple exponent rules together to simplify complex expressions.
Negative Powers
Learn how to use negative powers.
Fractional Powers
Learn how to use fractional indices in numbers.
Inequalities
Understand how inequalities differ from equations, solve them, and represent solutions clearly on number lines.
Adding and Subtracting integers.
Add and subtract positive and negative integers in the fastest way.
Multiplying/Dividing Integers
Learn how to multiply and divide positive and negative Numbers
Operations with Fractions
Work with fractional numbers in a strategical order.
BIDMAS (Mixed Operations)
Apply order of operations to complex expressions
Graphing
Explore the coordinate plane, plot points, and understand linear graphs including gradient and intercepts.
Percentage of a Quantity
Understand percentage meaning and basic conversions
Percentage Increase & Decrease
Calculate percentage increases and decreases
Unit Rates
Learn how to calculate unit rates for different measurements.
Reverse Percentages
Work backwards to find original values.
Ratio Basics
Understand, write, and interpret ratios in context.
Financial Math Basics
Learn how to calculate profit, loss and profit percentages.