Year 9
We've Got the Curriculum Covered
At TutorExel, our Year 9 Mathematics program builds a strong foundation in key skills. Lessons are tailored to your child’s pace and aligned with the Australian National Curriculum.
Tutoring is delivered through 1-on-1 or group online sessions, guided by expert tutors who focus on real progress.
TERM 1 – Number & Algebra Foundations
S.No
Topic
What We Cover
1
Real Number System + Diagnostic
Recognise rational & irrational numbers; exact vs approximate representations; introduction to the real number line.
2
Linear Inequalities
Use real number line to indicate solution intervals for linear inequalities of the form ax + b < c and ax + b > c.
3
Substitution & Real Numbers
Solve problems involving substitution of real numbers into formulas; representing exact form vs decimal approximation.
4
Locating Rational & Irrational Numbers + Financial Maths
Locate rational/irrational numbers geometrically; use rational numbers in budgeting and financial planning.
5
Exponent Laws – Basics
Apply exponent laws to numerical expressions; express decimals in exponential form; use positive & negative integer exponents.
6
Exponent Laws – Products & Quotients
Apply exponent laws to simplify products, quotients, and powers of numbers; operate with integer exponents.
7
Exponents in Algebraic Expressions
Recognise exponents in algebraic expressions; apply conventions (a⁰ = 1, x¹ = x, etc.) and simplify expressions.
8
Scientific Notation (Trimmed to nano–mega)
Represent large/small numbers in scientific notation; convert between forms; relate to powers of 10 (nano to mega).
9
Simplifying Algebraic Expressions
Simplify and evaluate algebraic expressions; collect like terms; foundational manipulation.
10
Expanding & Factorising Monic Quadratics
Expand binomial products; identify patterns; factorise monic quadratic expressions x² + mx + n.
TERM 2 – Coordinate Geometry & Quadratics
S.No
Topic
What We Cover
1
Gradient from Points & Graphs
Calculate gradient of a line segment; relate gradient to rate of change; read slope from graphs.
2
Distance & Midpoint
Use Pythagoras’ theorem to find the distance between two points; find midpoint using coordinates.
3
Parallel & Perpendicular Lines
Investigate gradients of parallel/perpendicular lines; use digital tools to illustrate relationships.
4
Linear Graphs in Real Contexts
Apply gradient concepts to real situations (ramps, escalators); interpret gradient in modelling contexts.
5
Identifying Quadratic Relationships
Determine whether data suggests a quadratic pattern using constant second differences.
6
Graphing Quadratic Functions
Graph quadratics; interpret symmetry, turning point, max/min values; compare functions.
7
Solving Quadratics Graphically
Use graphs to find roots; relate roots to x-intercepts; interpret cases with no real solutions.
8
Solving Quadratics Algebraically
Solve monic quadratic equations with integer roots using factorisation.
9
Roots & Factorised Form
Link factorised form (x–a)(x–b) to x-axis intercepts using the null factor law.
10
Quadratic Modelling (One Context Only)
Model an applied situation using a simple quadratic (either projectile OR area OR parabolic shape); interpret turning point & intercepts.
TERM 3 – Measurement, Similarity & Trigonometry
S.No
Topic
What We Cover
1
Surface Area of Right Prisms
Analyse nets; establish formulas; solve surface-area problems in context.
2
Volume of Prisms & Cylinders
Solve volume problems using appropriate units; compare prisms with equal volume and different surface areas.
3
Scientific Notation in Measurement
Represent very small/large real numbers in scientific notation; convert between decimal and scientific forms.
4
Measurement Accuracy & Percentage Error
Calculate absolute/relative/percentage error; examine accuracy of measuring instruments; determine bounds.
5
Angle Properties, Scale & Polygon Sums
Apply angle properties and scale; use polygon angle sum relationships; solve geometric contexts.
6
Similar Triangles & Scale Factors
Understand similarity; relate scale factors to length, area, volume relationships.
7
Pythagoras in Spatial Problems + Algorithmic Construction
Apply Pythagoras to surveying/design problems; calculate distances; includes 10–15 minute pseudocode/flowchart algorithm for constructing a right triangle and determining missing measures.
8
Trigonometric Ratios (SOH–CAH–TOA)
Recognise constancy of sine, cosine, tangent; identify adjacent/opposite/hypotenuse.
9
Solving Triangles Using Trigonometric Ratios
Use sine/cosine/tangent to find unknown sides/angles in right triangles.
10
Enlargement & Dilation
Apply enlargement transformation; compare what changes/remains same; analyse effects on length, area, volume.
TERM 4 – Statistics, Probability & Modelling
S.No
Topic
What We Cover
1
Interpreting Statistical Reports
Analyse survey reports; identify data sources; evaluate claims; critique methods using digital media examples.
2
Sampling Methods & Bias
Analyse effect of sampling methods; identify representation bias; evaluate infographics and media samples.
3
Comparing Distributions
Represent and compare multiple data sets using stem-and-leaf, histograms; describe centre/spread/shape and effect of outliers.
4
Choosing Appropriate Data Displays
Choose appropriate display for data type (categorical vs numerical); justify representations; interpret infographics.
5
Statistical Investigation
Plan and conduct a statistical investigation; collect, represent, analyse and interpret data from various sources.
6
Compound Events (Lists, Tables, Trees)
List outcomes of compound events with/without replacement using arrays, tables, and tree diagrams.
7
Probabilities of AND / OR Events
Use relative frequencies, two-way tables, and Venn diagrams to calculate inclusive/exclusive OR and AND probabilities.
8
Chance Experiments & Simulations
Conduct repeated chance experiments using digital tools; compare simple vs compound event probabilities.
9
Direct Proportion, Rates & Scale in Modelling
Model real contexts involving direct proportion, rates, ratio, density, exchange rates, conversions, construction standards.
10
Mathematical Modelling Showcase (Simplified)
Students solve and present a real-world modelling task using linear or quadratic functions; interpret solution and evaluate model.
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