Year 10 maths is the bridge to senior courses. Our structured programme builds algebra, quadratics, exponential growth, trigonometry, analytic geometry and probability with real NZ examples, like interest on a term deposit.

Key Topics Covered:

Exact values, exponent laws, factorising and completing the square, systems and inequalities, exponential growth and decay, compound interest, composite measurement, trigonometry, similar triangles, analytic geometry, boxplots, scatter plots and conditional probability.

Parent Tip:

Year 10 maths decides how smoothly Years 11 to 13 go. Solid algebra and functions now keep senior maths options open. We make sure each idea clicks before moving on.

Expand, factorise and solve quadratic expressions and equations

Solve systems of linear equations and linear inequalities

Model growth and decay and compare simple and compound interest in NZ dollars

Use trigonometry and similar triangles to solve measurement problems

Use coordinates to verify properties of lines and shapes

Read boxplots and scatter plots and find conditional probabilities

Parent and child practising Year 10 maths at home in New Zealand

No.	Topic	What We Cover
01	Exact Values, Approximation and Error	Compare exact and rounded values and see how rounding early can grow into large errors in later steps.
02	Exponent Laws with Algebraic Expressions	Apply exponent laws to products, quotients and powers of variables, including negative and zero exponents.
03	Expanding and Simplifying Expressions	Expand and simplify polynomial expressions using the distributive property and exponent laws.
04	Factorising and Completing the Square	Factorise expressions and connect expanding, factorising and completing the square for quadratics.
05	Solving Algebraic Equations	Solve equations by factorising, simplifying and inverse operations, and check each solution.
06	Linear Inequalities	Solve linear inequalities and show solutions on number lines and graphs, such as a monthly phone data limit.
07	Systems of Linear Equations	Solve two linear equations in two variables by graphing, substitution and elimination, and interpret the answer in context.
08	Exponential Relations	Spot exponential patterns in tables and link equations to graphs with digital tools.
09	Solving Exponential Equations	Solve exponential equations using tables, graphs and digital tools to find unknown values.
10	Term 1 Review	Revise approximation, algebra, inequalities, systems and exponential relations through multi-step problems. A termly mock test and parent report follow.

Try a Free Lesson to See the Full Programme

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

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No.	Topic	What We Cover
11	Linear, Quadratic and Exponential Models	Tell the three relations apart using first and second differences, tables and graphs.
12	Growth and Decay Modelling	Model growth and decay, including doubling time and half-life, and judge how well a model fits.
13	Compound Interest and Financial Modelling	Use compound interest in NZ dollars, such as a term deposit or a car loan, and compare it with simple interest.
14	Functions, Relations and Digital Conjectures	Explore functions with digital graphing tools, find where graphs meet and test conjectures.
15	Composite Surface Area	Find the surface area of objects built from prisms, cylinders, cones and spheres, such as a farm silo.
16	Composite Volume	Find the volume of composite objects and solve practical storage and capacity problems in cubic metres and litres.
17	Logarithmic Scales	Read and use scales that jump by powers of ten, such as earthquake magnitude, pH and decibels.
18	Pythagoras and Right-Angle Trigonometry	Use the Pythagoras' theorem and sine, cosine and tangent to solve two and three-dimensional problems.
19	Bearings, Elevation and Depression	Solve direction and height problems with bearings and angles of elevation and depression, such as the height of the Sky Tower.
20	Term 2 Review	Revise growth models, composite measurement, logarithmic scales and trigonometry through multi-step tasks. A termly mock test and parent report follow.

No.	Topic	What We Cover
21	Measurement Error and Accuracy	See how instruments and rounding affect results and judge how reliable a measurement is.
22	Proportion and Scaling Models	Use proportion and scale to solve problems with plans, maps and scale drawings.
23	Geometric Proof and Deductive Reasoning	Tell a demonstration from a proof and build logical proofs about lines, angles and polygons.
24	Congruence and Similar Triangles	Use congruence, similarity and angle properties to prove results and solve measurement problems.
25	Analytic Geometry: Lines and Segments	Use slope, midpoint and distance on the coordinate plane to describe lines and line segments.
26	Analytic Geometry: Verifying Shapes	Use coordinates to check properties of triangles and quadrilaterals, such as whether a shape is a rectangle.
27	Spatial Algorithms and Efficient Routes	Use step-by-step thinking and digital tools to plan efficient routes, such as a delivery run across Auckland.
28	Scale Design and Digital Spatial Solutions	Design and test a scale model or floor plan, state assumptions and justify choices.
29	Statistics in the Media: Claims and Bias	Question statistical claims for misleading graphs, biased samples and weak evidence.
30	Term 3 Review	Revise proof, similar triangles, analytic geometry and statistical reasoning through applied problems. A termly mock test and parent report follow.

No.	Topic	What We Cover
31	Five-Number Summary and Boxplots	Find the minimum, quartiles, median and maximum and build and read boxplots.
32	Comparing Data Distributions	Compare data sets using boxplots, histograms and dot plots and explain differences in centre and spread.
33	Scatter Plots and Association	Build scatter plots and describe the direction, strength and shape of the association.
34	Association versus Causation and Lines of Best Fit	Tell association from cause and effect and use a line of best fit to make careful predictions.
35	Two-Way Tables and Categorical Association	Build two-way tables and use counts and percentages to study links between categories.
36	Bivariate Statistical Investigations	Plan and run an investigation on two variables, then analyse and report the findings.
37	Conditional Probability Language	Read and write conditional statements using given, if and of, and show them with tables and diagrams.
38	Dependent and Independent Events	Compare dependent and independent events and see how dependence changes probability.
39	Conditional Probability Simulations	Run repeated trials and digital simulations to model conditional probability, plus test-style problems.
40	Year 10 Review and Year 11 Readiness	Revise the year's key skills and preview Year 11 maths, including functions and the skills NCEA Level 1 builds on. A termly mock test and parent report follow.

Year 10 Maths Tutoring Across New Zealand

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 Programme

Try a Free Lesson to See the Full Programme

Try a Free Lesson to See the Full Programme

Try a Free Lesson to See the Full Programme