Year 10
We've Got the Curriculum Covered
At TutorExel, our Year 10 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
Approximation: Rounding vs Truncation
Understand different types of approximation and their effects.
2
Approximation in Multi-Step Calculations
Apply approximations in repeated calculations for area, volume, finance.
3
Expanding Expressions – Basics
Expand binomial × monomial expressions using distributive law.
4
Expanding Expressions – Complex Terms
Expand multi-term expressions; apply exponent laws during expansion.
5
Factorising Techniques – Basics
Factorise common factors and simple quadratics; verify using expansion.
6
Completing the Square Introduction
Convert ax²+bx+c forms to (x+p)²+q; build conceptual understanding.
7
Solving Linear Equations
Solve one-step, two-step and multi-step linear equations.
8
Solving Linear Inequalities
Solve inequalities; represent solutions on number lines.
9
Simultaneous Equations – Substitution
Solve simultaneous linear equations using substitution.
10
Simultaneous Equations – Graphing & Elimination
Solve using elimination and interpret graphical solutions.
TERM 2 – Exponentials. Functions & Modelling
S.No
Topic
What We Cover
1
Recognising Exponential Relations
Identify exponential patterns using tables and ratios.
2
Graphing Exponential Functions
Plot growth/decay curves using digital tools.
3
Solving Exponential Equations
Solve simple exponential equations algebraically/digitally.
4
Selecting Appropriate Models
Choose linear, quadratic or exponential models using differences/ratios.
5
Exponential Growth & Decay
Explore constant percentage change, doubling time & half-life.
6
Compound Interest Modelling
Apply exponential formulas in financial contexts.
7
Real-World Modelling (Growth & Decay)
Build and critique exponential models for real scenarios.
8
Exploring Functions with Technology
Investigate patterns & relations using digital tools.
9
Graph Transformations
Apply translations/reflections to various function graphs.
10
Numerical Intersections & Roots
Use bisection/zoom to approximate intersections and x-intercepts.
TERM 3 – Geometry. Trigonometry, Measurement & Space
S.No
Topic
What We Cover
1
Deductive Reasoning & Geometric Proofs (Intro)
Understand proof vs demonstration; use angle properties & congruence tests.
2
Similarity & Triangle-Based Proofs
Apply similarity reasoning; develop structured multi-step geometric proofs.
3
Surface Area of Composite Solids
Break solids into components; calculate total surface area.
4
Volume of Composite Solids
Calculate composite volumes in practical contexts.
5
Logarithmic Scales – Concept & Uses
Interpret logarithmic scales; understand orders of magnitude.
6
Pythagoras in Real Scenarios
Apply Pythagoras to navigation, diagonals, and measurement tasks.
7
Trigonometry: SOHCAHTOA & Elevation/Depression
Solve right-angled problems using trig ratios.
8
Bearings & Navigation
Use bearings in navigation tasks with trig & Pythagoras.
9
Networks, Connectedness & Euler’s Formula
Represent real systems using networks; apply Euler’s formula to polyhedra.
10
Spatial Algorithms & Digital Tools
Design spatial solutions using algorithms (floor plans, tessellations).
TERM 4 – Statistics & Probability
S.No
Topic
What We Cover
1
Analysing Claims in Media
Identify misleading graphs/scales; evaluate bias in reports.
2
Ethics & Data Responsibility
Discuss ethical issues; sample validity; Indigenous data sovereignty.
3
Boxplots & Five-Number Summary
Construct boxplots; interpret centre & spread.
4
Distribution Shapes & Comparisons
Compare histograms, dot plots, cumulative frequency & discuss skew.
5
Scatterplots & Association
Plot paired data; describe correlation strength & direction.
6
Line of Best Fit & Predictions
Draw best-fit lines; make & critique predictions.
7
Two-Way Tables & Categorical Variables
Construct tables; identify associations using proportions.
8
Conducting Bivariate Investigations
Plan, collect, graph & interpret bivariate data.
9
Conditional Probability (Venn/Two-Way)
Interpret “if…then”, “given” using diagrams & tables.
10
Simulations & Chance Experiments
Use digital/manual simulations for dependent/independent events.
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