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.
Simplify Algebraic Expressions
Learn how to simplify expressions by collecting like terms.
Expansion Brackets
Expand single brackets, double brackets and even triple brackets! .
Factorisation
The opposite of expansion. Learn to compress expressions. .
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.
Solving two step equations.
Use algebraic techniques to solve equations that require two steps.
Zero Index Law
Understand why any non-zero number raised to the power of zero equals one.
Equations with variables on both sides.
Learn how to divide powers by subtracting their indices when the base is the same.
Solving Equations with Fracitons
Incorporate fractions into alegebraic expressions.
Inequalities
Understand how inequalities differ from equations, solve them, and represent solutions clearly on number lines.
What are inequalities.
Introduction to what inequalities are and what they represent.
Solving Inequalities
Learn to solve for a range of values, as seen in an inequality.
Represnting on number line.
Learn how to plot out inequalities.
Graphing
Explore the coordinate plane, plot points, and understand linear graphs including gradient and intercepts.
What is a Linear Equation
An introduction to what linear equations are, and what they look like.
Percentage Increase & Decrease
Calculate percentage increases and decreases
Intercepts
Learn how to calculate the points at which linear equations intersect with the x and y-axes.
Cartesian Plane Basics
An introduction to cartesian planes.
Gradient
Learn what the gradient is, how to use it and calculate it.
Modelling
Learn how to model word-based problems into mathematical equations that can be solved. An introduction to problem solving.
Word Problems to equations/graphs
Go from the word problems to equations by learning about variables.
Complex Word Problems
Practice some harder questions, revolving around generating equations from word problems.
Word Problems to Equations (simple)
Convert word problems into equations that can be solved.