Year 10 Maths consolidates the mathematical reasoning students need before senior secondary pathways. Students extend algebra to simultaneous equations and exponential relations, use sophisticated modelling, solve trigonometric and spatial problems, analyse bivariate data and develop conditional probability reasoning.

Key Topics Covered:

Approximation and exact values, advanced algebra and exponent laws, inequalities and simultaneous equations, exponential relations and growth, financial modelling, composite surface area and volume, logarithmic scales, trigonometry and bearings, measurement error, proportion and scale, geometric proof, networks, bivariate statistics and conditional probability.

Parent Tip:

Year 10 Maths is the bridge into senior mathematics. Students who can move confidently between algebraic, graphical, numerical and contextual representations are much better positioned for higher-level mathematics in Years 11 and 12.

Manipulate algebraic expressions and solve equations, inequalities and simultaneous equations

Recognise and model linear, quadratic and exponential relationships

Apply trigonometry, logarithmic scales, composite measurement and scaling in practical problems

Use deductive reasoning, geometric proof, networks and algorithms to solve spatial problems

Analyse bivariate data using boxplots, scatterplots and two-way tables and critique statistical claims

Interpret and simulate conditional probability involving dependent and independent events

Student solving simultaneous equations for Year 10 maths online with a tutor in Australia

No.	Topic	What We Cover
01	Exact Values, Approximation and Error Accumulation	Compare exact and approximate representations of real numbers and investigate how rounding or truncation affects repeated calculations.
02	Exponent Laws with Algebraic Expressions	Apply exponent laws involving products, quotients and powers of variables, including positive and negative integral exponents.
03	Expanding and Simplifying Algebraic Expressions	Expand and simplify algebraic expressions using distributive properties and exponent laws.
04	Factorisation and Completed Square Connections	Factorise expressions and explore the relationship between expansion, factorisation and completed-square form.
05	Solving Algebraic Equations	Solve equations algebraically using factorisation, simplification and appropriate inverse processes.
06	Linear Inequalities	Solve linear inequalities and represent solution regions or intervals; interpret solutions in practical contexts.
07	Simultaneous Linear Equations	Solve simultaneous linear equations in two variables algebraically and graphically and interpret intersections in context.
08	Exponential Relations	Recognise exponential patterns in tables and connect algebraic and graphical representations using digital tools.
09	Solving Exponential Equations	Solve related exponential equations and use tables, graphs and digital tools to locate values and intersections.
10	Term 1 Number and Algebra Review	Integrate approximation, algebraic manipulation, inequalities, simultaneous equations and exponential relations.

Try a Free Lesson to See the Full Program

See our structured approach in action. Your child's first lesson is completely free, no credit card needed.

Student in a tutoring session with their tutor

Warm-up (5 min)

Quick mental maths and a review of the previous session

Core Teaching (25 min)

New concept from the lesson eBook, with examples and guided practice

Guided Practice (15 min)

Student works through problems with tutor support

Independent Practice (10 min)

Student completes the in-class quiz independently

Wrap-up (5 min)

Summary, 2 take-home quizzes and a preview of the next session

"My daughter went from struggling with fractions to confidently solving complex problems. The teachers are patient, knowledgeable, and really understand how to make learning fun. Best decision we made for her education!"

"We tried two other tutoring services before TutorExel. The difference is night and day. My son actually looks forward to his classes now, and his academic results improved dramatically. Worth every penny!"

SAME YEAR

Year 10 English

See the full Year 10 English program, with 40 live sessions mapped to the Australian Curriculum.

View Program

PRICING

Clear AUD Pricing

See simple monthly plans in Australian dollars for every Year level. No hidden fees, no lock-in contracts, just great value tutoring.

See Pricing

Ready to Help Your Child Excel?

Join the Australian families who trust TutorExel with their child's learning. Book your FREE trial class today, no credit card required.

+61 470-330-548

No.	Topic	What We Cover
11	Linear, Quadratic and Exponential Models	Distinguish linear, quadratic and exponential relationships using first differences, second differences and constant ratios.
12	Growth and Decay Modelling	Model exponential growth and decay, including doubling time and half-life, and interpret results in context.
13	Compound Interest and Financial Modelling	Use authentic financial data and compound interest to formulate and solve growth problems and evaluate assumptions.
14	Functions, Relations and Digital Conjectures	Experiment with functions and relations using digital tools, locate intersections and make and test generalisations.
15	Composite Surface Area	Solve problems involving the surface area of composite objects formed from prisms, cylinders and related solids.
16	Composite Volume	Calculate volumes of composite objects and solve practical storage, design and capacity problems.
17	Logarithmic Scales	Interpret and use logarithmic scales in contexts involving orders of magnitude, very large or small quantities and change.
18	Pythagoras and Right-Angled Trigonometry	Apply Pythagoras' theorem and trigonometric ratios to practical two- and three-dimensional problems.
19	Bearings, Elevation and Depression	Solve navigation and surveying problems involving direction, bearings and angles of elevation and depression.
20	Term 2 Modelling and Measurement Review	Apply growth models, composite measurement, logarithmic scales and trigonometry in multi-step contexts.

No.	Topic	What We Cover
21	Measurement Error and Accuracy	Identify how measurement errors affect results and evaluate instruments, methods and accumulated error in practical contexts.
22	Proportion and Scaling Models	Use mathematical modelling to solve practical problems involving proportion, plans, scale drawings, prototypes and scaled objects.
23	Geometric Proof and Deductive Reasoning	Distinguish demonstration from proof and construct logically connected proofs involving plane shapes.
24	Congruence, Similarity and Theorems	Apply congruence, similarity and angle properties to prove results and solve spatial problems.
25	Networks: Vertices, Edges and Connectedness	Interpret networks and network diagrams, identify nodes and edges and describe connectedness in authentic situations.
26	Euler's Formula and Network Structures	Explore networks in polyhedra and practical systems and apply Euler's relationship where appropriate.
27	Spatial Algorithms and Efficient Routes	Use computational thinking and digital tools to design, test and refine algorithms for routes, coverage and spatial optimisation.
28	Scale Design and Digital Spatial Solutions	Design and evaluate scale models or floor plans, communicate assumptions and justify spatial solutions.
29	Statistics in the Media: Claims and Bias	Analyse statistical claims and reports for misleading displays, sampling issues, bias, ethics and unsupported inference.
30	Term 3 Space and Statistical Reasoning Review	Integrate proof, networks, spatial algorithms and critical statistical reasoning in applied problems.

No.	Topic	What We Cover
31	Five-Number Summary and Boxplots	Calculate minimum, quartiles, median and maximum; construct and interpret boxplots.
32	Comparing Data Distributions	Compare continuous numerical distributions using boxplots, histograms, dot plots and cumulative frequency graphs; discuss centre, spread, shape and outliers.
33	Scatterplots and Association	Construct scatterplots and describe association between two numerical variables in terms of strength, direction and linearity.
34	Association vs Causation and Lines of Good Fit	Distinguish association from cause and effect and use an informal line of good fit to discuss prediction reliability.
35	Two-Way Tables and Categorical Association	Construct two-way tables and use counts, percentages and proportions to investigate relationships between categorical variables.
36	Bivariate Statistical Investigations	Plan and conduct investigations involving bivariate data; analyse, interpret and report findings while acknowledging limitations.
37	Conditional Probability Language	Interpret "if...then", "given", "of" and "knowing that" and represent conditional situations with tables, Venn diagrams or trees.
38	Dependent and Independent Events	Represent and compare dependent and independent events and determine how dependence changes probability calculations.
39	Conditional Probability Simulations	Design and conduct repeated chance experiments and digital simulations to model conditional probability and interpret results.
40	End-of-Year Year 10 Mathematics Assessment	Complete an integrated assessment across Number, Algebra, Measurement, Space, Statistics and Probability with modelling and reasoning.

Year 10 Maths Tutoring in Australia

By Term 4 of Year 10 Maths, Your Child Will...

Year 10 Maths Curriculum, Term by Term

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program