Year 7 Maths is the start of secondary maths. Integers, algebra and ratios arrive together, the pace picks up and NAPLAN sits in March, so strong foundations matter early.

Key Topics Covered:

Integers and rational numbers, ratios, algebraic expressions and equations, the Cartesian plane, angles, statistics and probability.

Parent Tip:

The move to high school maths is where many students fall behind. A tutor who knows the curriculum and your child's gaps makes all the difference before NAPLAN in March.

Work with integers, fractions, decimals and percentages

Solve ratio problems and financial problems in Australian dollars

Simplify algebraic expressions and solve linear equations

Find the area of triangles and parallelograms and the volume of prisms

Use angle relationships in triangles, polygons and parallel lines

Interpret and compare data displays and find probabilities

Student solving algebra and ratio problems for Year 7 maths online with a tutor in Australia

No.	Topic	What We Cover
01	Perfect Squares and Visual Patterns	Explore squares of 1 to 20 with dot arrays and grids. Students spot patterns in square numbers, link them to area and use square notation.
02	Square Roots and Estimation	Link square numbers to their roots and estimate roots of non-square numbers by placing them between two consecutive squares.
03	Prime Factors and Factor Trees	Write whole numbers as products of prime powers using factor trees and repeated division, and record them with index notation.
04	LCM and HCF from Prime Factors	Compare prime factorisations to find the lowest common multiple and highest common factor of two numbers.
05	Powers of 10 and Expanded Notation	Use index notation for powers of 10 and write large numbers in expanded form using place value, such as Australia's population.
06	Rational Numbers on the Number Line	Place fractions, mixed numbers and negative rational numbers on a number line and compare their positions.
07	Fractions, Decimals and Percentages	Convert between fractions, decimals and percentages using diagrams, models and proportional reasoning.
08	Rounding and Estimating Sensibly	Round decimals to a required accuracy and choose a sensible rounding for the context, such as money in dollars and cents.
09	Introducing Integers and Ordering	Compare and order integers on a number line, using words such as sign, magnitude and difference.
10	Term 1 Review and Assessment	Revise squares, prime factors, rational numbers, estimation and integers through mixed problems and a short quiz.

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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	Adding and Subtracting Fractions	Add and subtract positive fractions and mixed numbers, including unlike denominators, with models and written methods.
12	Multiplying and Dividing Fractions	Multiply and divide fractions and mixed numbers and explain what each operation does to the size of the answer.
13	Operations with Decimals	Add, subtract, multiply and divide decimals, checking answers with estimation and with digital tools.
14	Introducing Ratios	Describe the relationship between two quantities as a ratio and write equivalent ratios with tables and diagrams.
15	Simplifying and Comparing Ratios	Simplify ratios to lowest terms and compare ratios in contexts such as mixing paint or sports team scores.
16	Sharing in a Ratio	Divide an amount in a given ratio, such as sharing prize money, and solve missing-value problems.
17	Percentages and Fractions of Amounts	Find percentages and fractions of quantities and use them to compare prices and measurements.
18	Financial Maths in Practice	Use percentages for discounts, mark-ups and GST of 10% in Australian dollars, and check answers by estimating.
19	Mathematical Modelling with Ratios	Use ratios and percentages to model a real problem, such as scaling a recipe or planning a school fete, and justify the result.
20	Term 2 Review	Revise fractions, decimals, ratios and percentages with mixed problems, a quiz and feedback on goals.

No.	Topic	What We Cover
21	Variables and Formulas	Use letters to stand for unknown or changing values in familiar formulas and see how a formula links quantities.
22	Substituting into Formulas	Substitute values into formulas, such as distance and cost rules, and evaluate the results.
23	Forming Algebraic Expressions	Write expressions from words and from patterns, and describe what each term represents.
24	Simplifying Expressions	Combine like terms and simplify simple expressions, checking with substitution.
25	Solving One-Step Equations	Solve one-variable equations using inverse operations and check each solution.
26	Solving Multi-Step Equations	Solve linear equations that need more than one step and explain each line of working.
27	Tables of Values	Build tables of values from a rule and describe the pattern between the two variables.
28	Plotting on the Cartesian Plane	Plot tables of values on the Cartesian plane and describe the relationship the points show.
29	Algebra in Context	Model real situations, such as a phone plan or a taxi fare, with expressions, equations and graphs.
30	Term 3 Review	Revise algebra with problem solving tasks and a short assessment.

No.	Topic	What We Cover
31	Area of Triangles and Parallelograms	Build and apply the area formulas for triangles and parallelograms and solve practical problems, such as sails and paving.
32	Volume of Right Prisms	Calculate the volume of right prisms and solve capacity problems, such as filling a swimming pool or a fish tank.
33	Circles: Radius, Diameter and Circumference	Explore the relationships between radius, diameter and circumference and estimate pi through measuring.
34	Angles and Parallel Lines	Identify and use angle relationships formed when a line crosses parallel lines, and find unknown angles.
35	Triangle and Polygon Angles	Use the angle sum of a triangle to find the angle sum of polygons, and classify polygons by their properties.
36	Transformations on the Plane	Describe and carry out translations, reflections and rotations of shapes using coordinates.
37	Displaying and Comparing Data	Construct and compare data displays for discrete and continuous data, and choose the best one for the question.
38	Probability and Sample Spaces	List sample spaces and find probabilities of outcomes, then test them with repeated experiments and simulations.
39	Mixed Problem Solving	Tackle multi-step problems that combine number, algebra, measurement and data.
40	Year 7 Review and Year 8 Readiness	Revise the year's key skills, sit a practice paper and preview Year 8 maths.

Year 7 Maths Tutoring in Australia

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 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