Year 8 is the bridge from arithmetic to formal algebra. Our structured programme builds rational numbers, linear relations, Pythagoras and geometric reasoning with real NZ examples, like time zones and sale prices.

Key Topics Covered:

Rational and irrational numbers, exponent laws, percentages and NZ money, linear expressions and equations, linear relations, area and volume, circles, time zones, rates and ratios, Pythagoras, congruence, sampling and probability.

Parent Tip:

Year 8 is a major algebra foundation year. Confidence with linear equations, gradient and Pythagoras now makes Year 9 maths far easier. We make sure each idea clicks before moving on.

Work confidently with rational and irrational numbers and exponent laws

Simplify, expand and factorise linear expressions and solve equations and inequalities

Graph and model linear relations in everyday and financial settings

Solve measurement problems with composite shapes, circles, prisms and rates

Apply Pythagoras, congruence and similarity to spatial problems

Collect and analyse data and use probability to reason about chance

Parent and child practising Year 8 maths at home in New Zealand

No.	Topic	What We Cover
01	Rational and Irrational Numbers	Sort numbers as rational or irrational and place square roots and pi on a number line.
02	Exponent Laws	Use product, quotient, power and zero exponent laws with whole-number exponents.
03	Terminating and Repeating Decimals	Convert fractions to decimals and tell terminating from repeating and non-terminating decimals.
04	Operations with Integers	Add, subtract, multiply and divide positive and negative integers and explain the sign rules.
05	Operations with Rational Numbers	Compute with fractions and decimals using efficient written, mental and digital strategies.
06	Percentages, Discounts and Percentage Change	Solve percentage increase and decrease problems, such as sale prices, mark-ups and GST at 15%.
07	Financial Literacy: GST, Income and Interest	Model real money situations in NZ dollars, including GST, income tax, wages and simple interest.
08	Simplifying Linear Expressions	Simplify and rearrange linear expressions by collecting like terms and using number properties.
09	Expanding and Factorising Linear Expressions	Use the distributive property to expand expressions and take out common factors.
10	Term 1 Review	Revise number, percentages and early algebra through mixed tasks. 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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Year 8 English

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No.	Topic	What We Cover
11	Solving Linear Equations	Solve multi-step equations with inverse operations and check solutions by substitution.
12	Solving Linear Inequalities	Solve one-variable inequalities and show solutions on number lines.
13	Tables and Graphs of Linear Relations	Build tables of values, plot linear relations and spot constant rates of change.
14	Slope and Initial Value	Read slope and the y-intercept from graphs and equations in real settings, such as a taxi fare or a mobile data plan.
15	Linear Modelling	Build linear models for situations, such as a mobile plan in NZ dollars, and judge whether the model fits.
16	Exploring Linear Relations with Technology	Use a spreadsheet or code to change the slope and intercept and describe the effect on the graph.
17	Area and Perimeter of Composite Shapes	Find area and perimeter of irregular shapes by splitting them into simple ones.
18	Volume and Capacity of Prisms and Cylinders	Find volume and capacity of prisms and cylinders and convert between cubic units and litres.
19	Circles: Circumference and Area	Use formulas for circumference and area and work backward to find a radius or diameter.
20	Term 2 Review	Revise linear relations and measurement. A termly mock test and parent report follow.

No.	Topic	What We Cover
21	Time, Duration and Time Zones	Solve duration problems with 12-hour and 24-hour clocks across time zones, such as a call between Auckland and London, including daylight saving.
22	Rates and Unit Rates	Compare quantities in different units, such as pay per hour, cost per kilogram and speed in km/h.
23	The Pythagoras' Theorem	Find unknown sides of right triangles and solve real problems, such as the diagonal of a rugby field.
24	Ratios, Proportion and Scale	Solve proportions in maps, plans, recipes and mixtures and apply scale factors.
25	Modelling with Ratios and Rates	Build and test models using ratios and rates and explain whether the result is reasonable.
26	Congruent Triangles	Use side and angle conditions to decide when triangles are congruent and justify the reasoning.
27	Similar Figures and Transformations	Connect similarity to enlargements, reflections, rotations and translations.
28	Properties of Quadrilaterals	Use the properties of squares, rectangles, parallelograms, rhombuses and trapeziums to reason about shapes.
29	Coordinates in Two and Three Dimensions	Describe location with coordinates in 2D and 3D and compare map grids to Cartesian planes.
30	Term 3 Review	Revise rates, Pythagoras and geometry. A termly mock test and parent report follow.

No.	Topic	What We Cover
31	Collecting Data: Census, Samples and Surveys	Compare ways to collect data and discuss accuracy, bias and ethics.
32	Random and Non-Random Sampling	Compare random, systematic, stratified and convenience samples and what each can show.
33	Sample Variation and Sample Size	See how repeated samples vary and how sample size affects the result.
34	Mean, Median, Mode and Spread	Compare data sets with measures of centre and range and see how outliers change them.
35	Probability and Sample Spaces	List outcomes systematically and describe chance with probability language.
36	Compound Events and Tree Diagrams	Use lists, tables and tree diagrams for multi-step chance events.
37	Experimental Probability	Run repeated trials, use relative frequency and compare with theoretical probability.
38	Simulations and Statistics Investigation	Use digital tools to simulate chance and plan a short data investigation.
39	Mixed Problems and Test-Style Practice	Practise multi-step problems and explain your thinking, with test-style questions to build exam confidence.
40	Year 8 Review and Year 9 Readiness	Revise the year's key skills and preview Year 9 maths, including quadratics and trigonometry. A termly mock test and parent report follow.

Year 8 Maths Tutoring Across New Zealand

By Term 4 of Year 8 Maths, Your Child Will...

Year 8 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