Year 7 is where maths becomes algebra. Our structured programme builds integers, rational numbers, ratios and equations with visuals and everyday examples, like GST, sale prices and scale maps, so students gain confidence before Year 8 and high school.

Key Topics Covered:

Integers, fractions, decimals and percentages, ratios and rates, proportional reasoning, GST at 15%, algebraic expressions, equations, linear relations, circles, volume and surface area, data and probability.

Parent Tip:

Work out the sale price and GST on a purchase together, or compare two deals. Short, real-life number talk beats long worksheets. We make sure each idea clicks before moving on.

Calculate with integers, fractions, decimals and percentages

Solve ratio, rate and proportion problems with NZ prices and maps

Work out discounts and GST at 15%

Write and solve one-step and two-step equations

Find circumference, area, volume and surface area

Read graphs, find the mean and describe probability

Parent and child practising Year 7 maths at home in New Zealand

No.	Topic	What We Cover
01	Adding and Subtracting Integers	Add and subtract positive and negative numbers with number lines and counters, such as temperature changes on a frosty Queenstown morning.
02	Multiplying and Dividing Integers	Multiply and divide integers and learn the sign rules through patterns and models.
03	Order of Operations with Integers	Apply brackets, exponents, multiplication, division, addition and subtraction to expressions with integers.
04	Adding and Subtracting Fractions	Add and subtract fractions and mixed numbers with unlike denominators and simplify answers.
05	Multiplying and Dividing Fractions	Multiply and divide fractions and mixed numbers using models, and explain why dividing by a fraction works.
06	Operations with Decimals	Add, subtract, multiply and divide decimals and estimate to check answers.
07	Rational Numbers: Fractions, Decimals and Percentages	Convert between fractions, decimals and percentages and compare and order rational numbers.
08	Squares, Square Roots and Powers	Work with perfect squares, square roots and powers and spot patterns.
09	Multi-Step Problems	Plan and solve problems with more than one step and explain each decision.
10	Term 1 Check-In and Review	Revise integers, fractions and decimals 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

"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!"

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No.	Topic	What We Cover
11	Ratios and Equivalent Ratios	Compare quantities with ratios and build equivalent ratios using tables and double number lines.
12	Rates and Unit Rates	Find unit rates such as price per 100 g or fuel use per 100 km and compare deals.
13	Proportional Reasoning	Solve proportions with tables, scale factors and cross-multiplying, and check with estimates.
14	Finding a Percentage of a Quantity	Find a percentage of an amount, including percentages less than 1 and greater than 100.
15	Discounts, GST and Sale Prices	Work out sale prices, find GST at 15% and compare final prices with and without GST.
16	Percentage Increase and Decrease	Find the percentage change in price, population or score and explain what it means.
17	Scale Drawings and Maps	Use scale factors to read maps and plans, such as the distance between Wellington and Auckland on a map.
18	Currency and Rate Problems	Convert between NZ and Australian dollars and solve rate problems such as petrol price per litre.
19	Financial Literacy: Budgets and Income	Plan a simple budget, compare income and expenses and see how income tax affects take-home pay.
20	Term 2 Review	Revise ratios, rates and percent. A termly mock test and parent report follow.

No.	Topic	What We Cover
21	Variables and Algebraic Expressions	Use letters to stand for unknowns and write expressions from situations and patterns.
22	Simplifying Expressions	Combine like terms and use the distributive property to simplify expressions.
23	Solving One-Step Equations	Solve one-step equations with inverse operations and check the answer.
24	Solving Two-Step Equations	Solve two-step equations, including with fractions and integers, and check the answer.
25	Equations with Brackets	Solve equations that need expanding or collecting like terms before solving.
26	Patterns and Linear Relations	Describe patterns with words, tables and equations and predict later terms.
27	Tables, Graphs and Linear Relations	Plot linear relations on a coordinate grid and describe slope as a rate of change.
28	Coding with Variables, Conditionals and Loops	Write programs that use variables, if statements and loops to solve a problem.
29	Algebra Word Problems	Translate real-life situations into equations and solve them.
30	Term 3 Review	Revise algebra and linear relations. A termly mock test and parent report follow.

No.	Topic	What We Cover
31	Angle Properties and Triangles	Find unknown angles using angle sums, supplementary and vertical angles.
32	Properties of Triangles and Quadrilaterals	Classify triangles and quadrilaterals and use their properties to solve problems.
33	Circles: Circumference and Area	Find circumference and area of circles using pi and apply them to wheels, pizzas and tracks.
34	Area of Composite Shapes	Break complex shapes into simple ones to find area, such as a netball court or a floor plan.
35	Volume and Surface Area of Prisms and Cylinders	Use nets and formulas to find volume and surface area of prisms and cylinders.
36	Transformations and the Coordinate Plane	Show translations, reflections and rotations in all four quadrants.
37	Data: Mean, Median, Mode and Graphs	Read and make graphs and find mean, median, mode and range, and compare data sets.
38	Probability and Tree Diagrams	Find the probability of independent events with tree diagrams and tables.
39	Mixed Problems and Test-Style Practice	Practise multi-step maths problems and explain your thinking, with test-style questions to build exam confidence.
40	Year 7 Review and Year 8 Readiness	Revise the year's key skills and preview Year 8 maths, including Pythagoras. A termly mock test and parent report follow.

Year 7 Maths Tutoring Across New Zealand

By Term 4 of Year 7 Maths, Your Child Will...

Year 7 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