Syllabus coverage

Every lesson in Year 8 Maths (Stage 4), mapped to its outcome in the NSW Mathematics K–10 Syllabus (2022). Stage 4 covers Years 7 and 8 and has 16 outcomes. 4 lessons reach beyond it into extension.

Lessons

16 / 16

Stage 4 outcomes covered

Thin coverage

Untagged lessons

Number

MA4-INT-C-01Computation with integers1 lesson

Compares, orders and calculates with integers to solve problems.

Integer Operations & Order of OperationsCh 01

MA4-FRC-C-01Fractions, decimals and percentages

Represents and operates with fractions, decimals and percentages to solve problems.

Decimal Operations, Rounding & Significant FiguresCh 01
Fractions and Decimals: Terminating, Recurring & Non-terminatingCh 01
Rational Numbers & Their OperationsCh 01
Operations with Positive & Negative FractionsCh 02
Percentage CalculationsCh 02
Percentage Increase & Decrease; Unitary MethodCh 02
Profit, Loss, Discount & Simple InterestCh 02

MA4-IND-C-01Indices

Operates with primes and roots, positive-integer and zero indices involving numerical bases and establishes the relevant index laws.

Index RulesCh 04
Primes and Prime FactorisationCh 06
Powers, Square Roots & Cube RootsCh 06
Index Laws Review & ConsolidationCh 06
Scientific Notation for Large & Small NumbersCh 06
Rounding & Significant Figures in Scientific NotationCh 06

MA4-RAT-C-01Ratios and rates

Solves problems involving ratios and rates, and analyses distance–time graphs.

Distance–Time GraphsCh 03
Simplifying Ratios & Dividing in a Given RatioCh 03
Scale Drawings, Maps & Scale FactorsCh 03
Rates & Unit RatesCh 03
Time Calculations & Time ZonesCh 03

Algebra

MA4-ALG-C-01Algebraic techniques

Generalises number properties to operate with algebraic expressions including expansion and factorisation.

Variables, Terms, Coefficients & ConstantsCh 04
Adding & Subtracting Like TermsCh 04
Multiplying & Dividing Algebraic TermsCh 04
Expanding with the Distributive LawCh 04
Factorising with the Highest Common FactorCh 04

MA4-EQU-C-01Equations

Solves linear equations of up to 2 steps and quadratic equations of the form ax2=c.

Quadratic Equations: ax² = cCh 05
Solving One-, Two- & Multi-step Linear EquationsCh 05
Equations with BracketsCh 05
Equations with Fractions & Variables on Both SidesCh 05
Word Problems to EquationsCh 05
Linear Inequalities & the Number LineCh 05

MA4-LIN-C-01Linear relationships

Creates and displays number patterns and finds graphical solutions to problems involving linear relationships.

Number Patterns and SequencesCh 07
The Cartesian PlaneCh 07
Tables of Values from Linear RulesCh 07
Graphing Linear RelationshipsCh 07
Gradient of a LineCh 07
Gradient-Intercept Form & Horizontal/Vertical LinesCh 07

Measurement

MA4-LEN-C-01Length

Applies knowledge of the perimeter of plane shapes and the circumference of circles to solve problems.

Perimeter of Composite ShapesCh 08
Circumference and Arc LengthCh 08
Metric Units & ConversionsCh 08
Perimeter & Area of 2D ShapesCh 08

MA4-ARE-C-01Area

Applies knowledge of area and composite area involving triangles, quadrilaterals and circles to solve problems.

Perimeter & Area of 2D ShapesCh 08
Area of TrianglesCh 09
Area of Circles and SectorsCh 09
Composite AreaCh 09
Area of Special QuadrilateralsCh 09

MA4-VOL-C-01Volume2 lessons

Applies knowledge of volume and capacity to solve problems involving right prisms and cylinders.

Volume of Prisms and CylindersCh 10
Capacity and Converting UnitsCh 10

MA4-PYT-C-01Right-angled triangles (Pythagoras)

Applies Pythagoras’ theorem to solve problems in various contexts.

Right-angled Triangles & the HypotenuseCh 11
Stating & Applying Pythagoras' TheoremCh 11
Finding the HypotenuseCh 11
Finding a Shorter SideCh 11
Pythagorean Triads & Practical ApplicationsCh 11

MA5-ARE-C-01Area and surface areaStage 5 · extension

Solves problems involving the surface area of right prisms and practical problems involving the area of composite shapes and solids.

Surface Area of PrismsCh 16

Space

MA4-ANG-C-01Angle relationships

Applies angle relationships to solve problems, including those related to transversals on sets of parallel lines.

Solving Angle ProblemsCh 12
Angle RelationshipsCh 12
Parallel Line TheoremsCh 12

MA4-GEO-C-01Properties of geometrical figures

Identifies and applies the properties of triangles and quadrilaterals to solve problems.

Classifying TrianglesCh 13
Properties of QuadrilateralsCh 13
Angle Sums of Triangles & QuadrilateralsCh 13

MA5-GEO-P-01Properties of geometrical figures (Path)Stage 5 · extension

Establishes conditions for congruent triangles and similar triangles and solves problems relating to properties of similar figures and plane shapes.

Congruent Figures & TransformationsCh 16
Congruence Tests: SSS, SAS, AAS, RHSCh 16

MA5-GEO-P-02Properties of geometrical figures (Path)Stage 5 · extension

Constructs proofs involving congruent triangles and similar triangles and proves properties of plane shapes.

Geometric Proofs with Congruent TrianglesCh 16

Statistics

MA4-DAT-C-01Data classification and visualisation

Classifies and displays data using a variety of graphical representations.

Collecting & Classifying DataCh 15
Frequency Tables & Grouped DataCh 15
Data Graphs: Columns, Histograms, Dot Plots, Stem-and-LeafCh 15

MA4-DAT-C-02Data analysis

Analyses simple datasets using measures of centre, range and shape of the data.

Mean, Median & ModeCh 15
Range as a Measure of SpreadCh 15
Distribution Shape & OutliersCh 15

Probability

MA4-PRO-C-01Probability

Solves problems involving the probabilities of simple chance experiments.

Theoretical Probability of Simple EventsCh 14
Complementary EventsCh 14
Experimental Probability & Relative FrequencyCh 14
Two-step Experiments: Sample Spaces, Trees & TablesCh 14
Venn Diagrams & Two-way TablesCh 14

Outcome codes and wording: NSW Education Standards Authority, Mathematics K–10 Syllabus (2022). A filled dot marks a released lesson; a grey dot marks one still staged.