Algebra, Equations and Linear Relationships
Linear equations and inequalities, simultaneous equations, and coordinate geometry of straight lines.
Active lessons
12
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
12 of 12 active
Lesson 1
1A Review of Algebra
Collect like terms, multiply and divide algebraic terms, and substitute values into expressions.
Lesson 2
Solving Linear Equations
Solve linear equations using inverse operations, including equations with brackets and variables on both sides.
Lesson 3
Linear Inequalities
Solve linear inequalities, represent solutions on a number line, and apply the sign-reversal rule when dividing by a negative.
Lesson 4
1D Equations with Complex Algebraic Fractions
Solve linear equations involving algebraic fractions by multiplying through by the lowest common denominator.
Lesson 5
Gradient and y-intercept
Interpret gradient and y-intercept from equations, coordinates and straight-line graphs.
Lesson 6
Equation of a Line
Find the equation of a straight line given its gradient and a point, or given two points on the line.
Lesson 7
Midpoint and Distance Formulas
Calculate midpoints and distances between coordinate pairs using averages and Pythagoras.
Lesson 8
Parallel and Perpendicular Lines
Identify parallel and perpendicular lines using gradients and simple graph relationships.
Lesson 9
Simultaneous Equations: Substitution
Solve pairs of simultaneous equations by substituting one expression into the other equation.
Lesson 10
Simultaneous Equations: Elimination
Solve pairs of simultaneous equations by adding or subtracting equations to eliminate one variable.
Lesson 11
Linear Modelling and Applications
Use linear models to interpret starting values, rates, predictions and comparisons.
Lesson 12
1L Regions on the Cartesian Plane
Graph linear inequalities as regions using a solid or dashed boundary line and a test point.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.