Full descriptor-to-skill mapping across year levels.

Year 7 AC9M7N01 Number

Describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems

Integers and Number Properties

Mapped skills

2

Find perfect squares and square roots

Year 7 - Unit 1: Integer Foundations

Find cubes and cube roots

Year 7 - Unit 1: Integer Foundations

Year 7 AC9M7A01 Algebra

Recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown

Expressions and Equations

Mapped skills

7

Substitute one value into an expression

Year 7 - Unit 4: Algebra Foundations

Substitute multiple values into an expression

Year 7 - Unit 4: Algebra Foundations

Substitute into expressions with powers and roots

Year 7 - Unit 4: Algebra Foundations

Substitute positive and negative integers

Year 7 - Unit 4: Algebra Foundations

Apply an expression in a modelling problem

Year 7 - Unit 4: Algebra Foundations

Apply a formula by substituting known values

Year 7 - Unit 4: Algebra Foundations

Apply a formula by solving for the unknown variable

Year 7 - Unit 5: Linear Equations and Modelling

Year 7 AC9M7M03 Measurement

Describe the relationship between π and the features of circles including the circumference, and use formulas to solve problems involving circumference

Length, Perimeter and Circles

Mapped skills

5

Convert metric units of length

Year 7 - Unit 9: Length and Perimeter

Perimeter of polygons

Year 7 - Unit 9: Length and Perimeter

Circumference of a circle

Year 7 - Unit 9: Length and Perimeter

Arc length and perimeter of sectors

Year 7 - Unit 9: Length and Perimeter

Perimeter of composite shapes

Year 7 - Unit 9: Length and Perimeter

Year 7 AC9M7SP02 Space

Classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships

Shapes and Classification

Mapped skills

6

Name polygons by their number of sides

Year 7 - Unit 7: Geometric Reasoning and Classification

Classify polygons as convex or non-convex, regular or irregular

Year 7 - Unit 7: Geometric Reasoning and Classification

Classify special quadrilaterals

Year 7 - Unit 7: Geometric Reasoning and Classification

Classify triangles by sides and angles

Year 7 - Unit 7: Geometric Reasoning and Classification

Find lines of symmetry

Year 7 - Unit 7: Geometric Reasoning and Classification

Find the order of rotational symmetry

Year 7 - Unit 7: Geometric Reasoning and Classification

Year 7 AC9M7ST01 Statistics

Acquire data sets for discrete and continuous numerical and categorical variables to address statistical questions

Data

Mapped skills

2

Classify types of data

Year 7 - Unit 11: Data Representation and Summary Statistics

Read and interpret frequency tables

Year 7 - Unit 11: Data Representation and Summary Statistics

Year 7 AC9M7P01 Probability

Identify the sample space for single-step experiments with equally likely outcomes and represent probabilities as fractions or decimals between 0 and 1.

Chance

Mapped skills

4

List the sample space

Year 7 - Unit 12: Probability

Assign probability as a fraction

Year 7 - Unit 12: Probability

Describe the likelihood of events

Year 7 - Unit 12: Probability

Find the probability of a complementary event

Year 7 - Unit 12: Probability

Year 7 AC9M7SP01 Space

Represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations

Visualisation and Nets

Mapped skills

1

Represent 3D objects in 2D

Year 7 - Unit 7: Geometric Reasoning and Classification

Year 7 AC9M7N02 Number

Represent natural numbers as products of powers of prime numbers using exponent notation

Integers and Number Properties

Mapped skills

7

Find the HCF of two numbers

Year 7 - Unit 1: Integer Foundations

Find the LCM of two numbers

Year 7 - Unit 1: Integer Foundations

Identify prime numbers

Year 7 - Unit 1: Integer Foundations

Find the prime factors of a number

Year 7 - Unit 1: Integer Foundations

Write expressions using index notation

Year 7 - Unit 1: Integer Foundations

Evaluate expressions written in index form

Year 7 - Unit 1: Integer Foundations

Express a number as a product of prime factors

Year 7 - Unit 1: Integer Foundations

Year 7 AC9M7A02 Algebra

Formulate algebraic expressions using constants, variables, operations and brackets

Expressions and Equations

Mapped skills

9

Identify coefficients in an expression

Year 7 - Unit 4: Algebra Foundations

Identify terms and constant terms

Year 7 - Unit 4: Algebra Foundations

Write algebraic expressions from word descriptions

Year 7 - Unit 4: Algebra Foundations

Identify like terms

Year 7 - Unit 4: Algebra Foundations

Collect like terms to simplify an expression

Year 7 - Unit 4: Algebra Foundations

Simplify multiplication of algebraic expressions

Year 7 - Unit 4: Algebra Foundations

Simplify division of algebraic expressions

Year 7 - Unit 4: Algebra Foundations

Expand brackets using the distributive law

Year 7 - Unit 4: Algebra Foundations

Construct an expression from a problem description

Year 7 - Unit 4: Algebra Foundations

Year 7 AC9M7M01 Measurement

Solve problems involving the area of triangles and parallelograms using established formulas and appropriate units

Area, Volume and Capacity

Mapped skills

6

Convert units of area

Year 7 - Unit 10: Area, Volume and Capacity

Area of rectangles and squares

Year 7 - Unit 10: Area, Volume and Capacity

Area of parallelograms

Year 7 - Unit 10: Area, Volume and Capacity

Area of triangles

Year 7 - Unit 10: Area, Volume and Capacity

Area of circles

Year 7 - Unit 10: Area, Volume and Capacity

Area of composite shapes

Year 7 - Unit 10: Area, Volume and Capacity

Year 7 AC9M7SP03 Space

Describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and the effect of transformations on the properties of the original shape

Transformations and Coordinates

Mapped skills

5

Read coordinates from a Cartesian plane

Year 7 - Unit 8: Coordinates and Transformations

Plot points on a Cartesian plane

Year 7 - Unit 8: Coordinates and Transformations

Reflect points in the x-axis and y-axis

Year 7 - Unit 8: Coordinates and Transformations

Rotate points about the origin

Year 7 - Unit 8: Coordinates and Transformations

Translate points and shapes

Year 7 - Unit 8: Coordinates and Transformations

Year 7 AC9M7ST02 Statistics

Create different representations of data distributions and describe them using summary statistics including mean, median, mode, and range

Data

Mapped skills

6

Read and interpret dot plots

Year 7 - Unit 11: Data Representation and Summary Statistics

Read and interpret stem-and-leaf plots

Year 7 - Unit 11: Data Representation and Summary Statistics

Calculate the mean

Year 7 - Unit 11: Data Representation and Summary Statistics

Calculate the median

Year 7 - Unit 11: Data Representation and Summary Statistics

Find the mode

Year 7 - Unit 11: Data Representation and Summary Statistics

Calculate the range

Year 7 - Unit 11: Data Representation and Summary Statistics

Year 7 AC9M7P02 Probability

Conduct repeated chance experiments and use relative frequencies to estimate probabilities; compare experimental results with theoretical values.

Chance

Mapped skills

2

Calculate relative frequency

Year 7 - Unit 12: Probability

Compare experimental and theoretical probability

Year 7 - Unit 12: Probability

Year 7 AC9M7SP04 Space

Design and create algorithms involving steps and decisions that sort and classify shapes by attributes, and describe how they work

Shapes and Classification

Mapped skills

1

Sort shapes by their attributes

Year 7 - Unit 7: Geometric Reasoning and Classification

Year 7 AC9M7A03 Algebra

Solve one-variable linear equations with natural number solutions; verify the solution by substitution

Expressions and Equations

Mapped skills

11

Identify equations

Year 7 - Unit 5: Linear Equations and Modelling

Classify an equation as true or false

Year 7 - Unit 5: Linear Equations and Modelling

Write an equation from a word description

Year 7 - Unit 5: Linear Equations and Modelling

Solve equations by inspection

Year 7 - Unit 5: Linear Equations and Modelling

Solve balance-scale problems

Year 7 - Unit 5: Linear Equations and Modelling

Solve one-step equations algebraically

Year 7 - Unit 5: Linear Equations and Modelling

Solve two-step equations algebraically

Year 7 - Unit 5: Linear Equations and Modelling

Check a solution by substitution

Year 7 - Unit 5: Linear Equations and Modelling

Solve equations involving fractions

Year 7 - Unit 5: Linear Equations and Modelling

Solve equations involving brackets

Year 7 - Unit 5: Linear Equations and Modelling

Solve word problems using equations

Year 7 - Unit 5: Linear Equations and Modelling

Year 7 AC9M7M02 Measurement

Solve problems involving the volume of right prisms including rectangular and triangular prisms using established formulas and appropriate units

Area, Volume and Capacity

Mapped skills

4

Volume of rectangular prisms

Year 7 - Unit 10: Area, Volume and Capacity

Volume of triangular prisms

Year 7 - Unit 10: Area, Volume and Capacity

Capacity

Year 7 - Unit 10: Area, Volume and Capacity

Convert units of mass

Year 7 - Unit 10: Area, Volume and Capacity

Year 7 AC9M7ST03 Statistics

Plan and conduct statistical investigations for which data is to be collected; report findings and assess the reasonableness of conclusions

Statistical Investigation

Mapped skills

2

Compare data sets using summary statistics

Year 7 - Unit 11: Data Representation and Summary Statistics

Interpret data distributions

Year 7 - Unit 11: Data Representation and Summary Statistics

Year 7 AC9M7N03 Number

Represent natural numbers in expanded notation using place value and powers of 10

Integers and Number Properties

Mapped skills

1

Expanded notation using powers of 10

Year 7 - Unit 1: Integer Foundations

Year 7 AC9M7A04 Algebra

Describe relationships between variables represented in graphs of functions from authentic data

Patterns and Functions

Mapped skills

1

Interpret graphs from authentic data

Year 7 - Unit 6: Patterns and Functional Thinking

Year 7 AC9M7N07 Number

Compare, order and solve problems involving addition and subtraction of integers

Integers and Number Properties

Mapped skills

5

Represent and compare integers

Year 7 - Unit 1: Integer Foundations

Add and subtract integers with negative results

Year 7 - Unit 1: Integer Foundations

Add and subtract negative integers

Year 7 - Unit 1: Integer Foundations

Multiply and divide integers

Year 7 - Unit 1: Integer Foundations

Order of operations with negative numbers

Year 7 - Unit 1: Integer Foundations

Year 7 AC9M7N04 Number

Find equivalent representations of rational numbers and represent rational numbers on a number line

Fractions, Decimals and Percentages

Mapped skills

11

Recognise equivalent fractions

Year 7 - Unit 2: Rational Number Equivalence

Simplify fractions

Year 7 - Unit 2: Rational Number Equivalence

Find equivalent fractions with a given denominator

Year 7 - Unit 2: Rational Number Equivalence

Convert mixed numerals to improper fractions

Year 7 - Unit 2: Rational Number Equivalence

Convert improper fractions to mixed numerals

Year 7 - Unit 2: Rational Number Equivalence

Compare and order fractions

Year 7 - Unit 2: Rational Number Equivalence

Convert between decimals and fractions

Year 7 - Unit 2: Rational Number Equivalence

Order fractions and decimals on a number line

Year 7 - Unit 2: Rational Number Equivalence

Convert between decimals and percentages

Year 7 - Unit 2: Rational Number Equivalence

Express proportions as fractions, decimals and percentages

Year 7 - Unit 2: Rational Number Equivalence

Convert between fractions and percentages

Year 7 - Unit 2: Rational Number Equivalence

Year 7 AC9M7A05 Algebra

Generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane

Patterns and Functions

Mapped skills

4

Describe the growth in a spatial pattern

Year 7 - Unit 6: Patterns and Functional Thinking

Write and use a rule for a spatial pattern

Year 7 - Unit 6: Patterns and Functional Thinking

Complete a table from a given rule

Year 7 - Unit 6: Patterns and Functional Thinking

Find a rule from a table of values

Year 7 - Unit 6: Patterns and Functional Thinking

Year 7 AC9M7M04 Measurement

Identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are cut by a transversal; use them to solve problems and explain reasons

Angles and Geometric Reasoning

Mapped skills

6

Classify angle types

Year 7 - Unit 7: Geometric Reasoning and Classification

Find complementary and supplementary angles

Year 7 - Unit 7: Geometric Reasoning and Classification

Find vertically opposite angles

Year 7 - Unit 7: Geometric Reasoning and Classification

Identify angle pairs in parallel lines

Year 7 - Unit 7: Geometric Reasoning and Classification

Find unknown angles in parallel lines

Year 7 - Unit 7: Geometric Reasoning and Classification

Solve compound problems with parallel lines

Year 7 - Unit 7: Geometric Reasoning and Classification

Year 7 AC9M7N05 Number

Round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions

Fractions, Decimals and Percentages

Mapped skills

1

Round a decimal to a given number of decimal places

Year 7 - Unit 2: Rational Number Equivalence

Year 7 AC9M7M05 Measurement

Demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the values of unknown angles in triangles

Angles and Geometric Reasoning

Mapped skills

2

Use the angle sum of a triangle

Year 7 - Unit 7: Geometric Reasoning and Classification

Find exterior angles of triangles

Year 7 - Unit 7: Geometric Reasoning and Classification

Year 7 AC9M7A06 Algebra

Manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables

Patterns and Functions

Mapped skills

1

Describe the effect of varying formula inputs

Year 7 - Unit 6: Patterns and Functional Thinking

Year 7 AC9M7N06 Number

Use the 4 operations with positive rational numbers including fractions, decimals and percentages

Fractions, Decimals and Percentages

Mapped skills

13

Add fractions with the same denominator

Year 7 - Unit 3: Fraction and Decimal Operations

Add fractions with different denominators

Year 7 - Unit 3: Fraction and Decimal Operations

Subtract fractions

Year 7 - Unit 3: Fraction and Decimal Operations

Subtract mixed numerals

Year 7 - Unit 3: Fraction and Decimal Operations

Multiply fractions

Year 7 - Unit 3: Fraction and Decimal Operations

Multiply mixed numbers and fractions by whole numbers

Year 7 - Unit 3: Fraction and Decimal Operations

Find the reciprocal and divide fractions

Year 7 - Unit 3: Fraction and Decimal Operations

Divide mixed numbers

Year 7 - Unit 3: Fraction and Decimal Operations

Multiply decimals by powers of 10

Year 7 - Unit 3: Fraction and Decimal Operations

Divide by powers of 10

Year 7 - Unit 3: Fraction and Decimal Operations

Multiply decimals

Year 7 - Unit 3: Fraction and Decimal Operations

Divide a decimal by a whole number

Year 7 - Unit 3: Fraction and Decimal Operations

Divide a decimal by a decimal

Year 7 - Unit 3: Fraction and Decimal Operations

Year 7 AC9M7M06 Measurement

Use mathematical modelling to solve practical problems involving ratios; formulate, interpret and communicate solutions

Mathematical Modelling

Mapped skills

1

Solve practical ratio problems

Year 7 - Unit 10: Area, Volume and Capacity

Year 7 AC9M7N09 Number

Use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts

Fractions, Decimals and Percentages

Mapped skills

1

Find a percentage of a quantity

Year 7 - Unit 3: Fraction and Decimal Operations

Year 7 AC9M7N08 Number

Recognise, represent and solve problems involving ratios

Ratios and Rates

Mapped skills

3

Write and simplify ratios

Year 7 - Unit 3: Fraction and Decimal Operations

Split a quantity in a given ratio

Year 7 - Unit 3: Fraction and Decimal Operations

Find an unknown amount using a ratio

Year 7 - Unit 3: Fraction and Decimal Operations

Year 8 AC9M8N02 Number

Establish and apply the exponent laws with positive integer exponents and the zero exponent, using exponent notation with numbers

Number

Mapped skills

6

Index Laws

Year 8 - Unit 2: Indices and Irrational Numbers

Apply the product rule for indices

Apply the quotient rule for indices

Apply the power-of-a-power rule

Use the zero index law

Simplify expressions using index laws

Year 8 AC9M8N03 Number

Recognise terminating and recurring decimals, using digital tools as appropriate

Rational Numbers

Mapped skills

3

Identify terminating and recurring decimals

Year 8 - Unit 1: Rational Number Operations

Identify terminating decimals

Identify recurring decimals

Year 8 AC9M8A01 Algebra

Create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties

Linear Expressions

Mapped skills

1

Expand and Factorise Linear Expressions

Year 8 - Unit 3: Algebraic Expressions

Year 8 AC9M8A02 Algebra

Graph linear relations and solve linear equations with rational solutions and one-variable inequalities, graphically and algebraically, and verify solutions

Linear Equations and Graphs

Mapped skills

1

Solve Linear Equations and Inequalities

Year 8 - Unit 4: Linear Equations and Inequalities

Year 8 AC9M8M05 Measurement

Solve problems involving rates, including rates of pay, unit pricing, speed and other constant rates

Rates and Ratios

Mapped skills

1

Solve Problems Involving Rates

Year 8 - Unit 5: Rates, Ratios and Financial Maths

Year 8 AC9M8M01 Measurement

Solve problems involving the area and perimeter of irregular and composite shapes using appropriate units

Area and Volume

Mapped skills

1

Area and Perimeter of Composite Shapes

Year 8 - Unit 7: Area, Perimeter and Volume

Year 8 AC9M8M03 Measurement

Solve problems involving the circumference and area of a circle using formulas and appropriate units

Circles

Mapped skills

1

Circumference and Area of Circles

Year 8 - Unit 8: Circles and Time

Year 8 AC9M8M04 Measurement

Solve problems involving duration, including using 12- and 24-hour time across multiple time zones

Time

Mapped skills

1

Time Zones and Duration

Year 8 - Unit 8: Circles and Time

Year 8 AC9M8M06 Measurement

Use Pythagoras' theorem to solve problems involving the side lengths of right-angled triangles

Pythagoras' Theorem

Mapped skills

1

Pythagoras' Theorem

Year 8 - Unit 9: Pythagoras' Theorem

Year 8 AC9M8N01 Number

Recognise irrational numbers in applied contexts, including square roots and pi

Number

Mapped skills

3

Recognise irrational numbers

Year 8 - Unit 2: Indices and Irrational Numbers

Interpret square roots and pi in context

Place irrational numbers on a number line

Year 8 AC9M8N04 Number

Use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate

Rational Numbers

Mapped skills

6

Operations with rational numbers

Year 8 - Unit 1: Rational Number Operations

Add and subtract signed rational numbers

Multiply rational numbers

Divide rational numbers

Evaluate rational-number expressions

Solve rational-number problems

Year 8 AC9M8A04 Algebra

Experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

Linear Equations and Graphs

Mapped skills

1

Explore Linear Functions

Year 8 - Unit 4: Linear Equations and Inequalities

Year 8 AC9M8M07 Measurement

Use mathematical modelling to solve practical problems involving ratios and rates, including financial contexts; formulate problems; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

Rates and Ratios

Mapped skills

1

Apply Ratios to Solve Problems

Year 8 - Unit 5: Rates, Ratios and Financial Maths

Year 8 AC9M8M02 Measurement

Solve problems involving the volume and capacity of right prisms using appropriate units

Area and Volume

Mapped skills

1

Volume of Right Prisms

Year 8 - Unit 7: Area, Perimeter and Volume

Year 8 AC9M8N05 Number

Use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing efficient calculation strategies and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

Rational Numbers

Mapped skills

4

Financial Maths with Percentages

Year 8 - Unit 5: Rates, Ratios and Financial Maths

Calculate discounts and markups

Calculate percentage change

Solve financial percentage problems

Year 8 AC9M8A03 Algebra

Use mathematical modelling to solve applied problems involving linear relations, including financial contexts; formulate problems with linear functions, choosing a representation; interpret and communicate solutions in terms of the situation, and reviewing the appropriateness of the model

Linear Equations and Graphs

Mapped skills

1

Model with Linear Equations

Year 8 - Unit 6: Linear Modelling