# Year 9 maths

Here is a list of all of the maths skills students learn in year 9! These skills are organised into categories, and you can move your mouse over any skill name to view a sample question. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Number theory

## Integers

## Operations with integers

- C.1Integer addition and subtraction rules
- C.2Add and subtract integers using counters
- C.3Add and subtract integers
- C.4Add and subtract three or more integers
- C.5Add and subtract integers: word problems
- C.6Integer multiplication and division rules
- C.7Multiply and divide integers
- C.8Evaluate numerical expressions involving integers

## Rational numbers

- D.1Identify rational and irrational numbers
- D.2Write fractions in lowest terms
- D.3Lowest common denominator
- D.4Round decimals and mixed numbers
- D.5Absolute value of rational numbers
- D.6Convert between decimals and fractions or mixed numbers
- D.7Compare rational numbers
- D.8Put rational numbers in order

## Operations with rational numbers

- E.1Reciprocals and multiplicative inverses
- E.2Add and subtract rational numbers
- E.3Add and subtract rational numbers: word problems
- E.4Apply addition and subtraction rules
- E.5Multiply and divide rational numbers
- E.6Multiply and divide rational numbers: word problems
- E.7Apply multiplication and division rules
- E.8Apply addition, subtraction, multiplication and division rules
- E.9Evaluate numerical expressions involving rational numbers

## Exponents and roots

- F.1Understanding exponents
- F.2Evaluate exponents
- F.3Solve equations with variable exponents
- F.4Exponents with negative bases
- F.5Exponents with decimal and fractional bases
- F.6Understanding negative exponents
- F.7Evaluate negative exponents
- F.8Multiplication with exponents
- F.9Division with exponents
- F.10Multiplication and division with exponents
- F.11Power rule
- F.12Evaluate expressions involving exponents
- F.13Identify equivalent expressions involving exponents
- F.14Square roots of perfect squares
- F.15Positive and negative square roots
- F.16Estimate positive and negative square roots
- F.17Relationship between squares and square roots
- F.18Solve equations involving squares and square roots
- F.19Cube roots of perfect cubes
- F.20Estimate cube roots

## Standard form

## Ratios, rates and proportions

- H.1Understanding ratios
- H.2Identify equivalent ratios
- H.3Write an equivalent ratio
- H.4Equivalent ratios: word problems
- H.5Unit rates
- H.6Compare ratios: word problems
- H.7Solve proportions: word problems
- H.8Do the ratios form a proportion?
- H.9Do the ratios form a proportion: word problems
- H.10Solve proportions
- H.11Estimate population size using proportions
- H.12Scale drawings: word problems

## Proportional relationships

- I.1Find the constant of proportionality from a table
- I.2Identify graphs of proportional relationships
- I.3Find the constant of proportionality from a graph
- I.4Write equations for proportional relationships
- I.5Graph proportional relationships
- I.6Identify proportional relationships
- I.7Find the constant of proportionality: word problems
- I.8Solve problems involving proportional relationships

## Percents

- J.1Convert between percents, fractions and decimals
- J.2Compare percents to fractions and decimals
- J.3Find what percent one number is of another
- J.4Find what percent one number is of another: word problems
- J.5Estimate percents of numbers
- J.6Percents of numbers and money amounts
- J.7Percents of numbers: word problems
- J.8Compare percents of numbers
- J.9Solve percent equations
- J.10Percent of change
- J.11Percent of change: word problems

## Consumer maths

## Units of measurement

## Problem solving

## Coordinate plane

## Two-dimensional figures

- O.1Identify and classify polygons
- O.2Classify triangles
- O.3Classify quadrilaterals
- O.4Graph triangles and quadrilaterals
- O.5Find missing angles in triangles and quadrilaterals
- O.6Interior angles of polygons
- O.7Identify complementary, supplementary, vertical, adjacent and congruent angles
- O.8Find measures of complementary, supplementary, vertical and adjacent angles
- O.9Transversal of parallel lines
- O.10Find lengths and measures of bisected lines and angles
- O.11Parts of a circle

## Transformations and congruence

- P.1Symmetry
- P.2Identify reflections, rotations and translations
- P.3Translations: graph the image
- P.4Translations: find the coordinates
- P.5Reflections: graph the image
- P.6Reflections: find the coordinates
- P.7Rotations: graph the image
- P.8Rotations: find the coordinates
- P.9Side lengths and angle measures of congruent figures
- P.10Congruence statements and corresponding parts
- P.11Congruent triangles: SSS, SAS and ASA

## Transformations and similarity

## Constructions

## Pythagoras' theorem

## Three-dimensional figures

## Geometric measurement

## Expressions and properties

- W.1Write variable expressions
- W.2Write variable expressions from diagrams
- W.3Write variable expressions: word problems
- W.4Evaluate one-variable expressions
- W.5Evaluate multi-variable expressions
- W.6Evaluate absolute value expressions
- W.7Evaluate radical expressions
- W.8Evaluate rational expressions
- W.9Identify terms and coefficients
- W.10Properties of addition and multiplication
- W.11Multiply using the distributive property
- W.12Simplify variable expressions using properties
- W.13Add and subtract like terms
- W.14Add, subtract and multiply linear expressions
- W.15Factors of linear expressions
- W.16Identify equivalent linear expressions

## One-variable equations

- X.1Which x satisfies an equation?
- X.2Write an equation from words
- X.3Model and solve equations using algebra tiles
- X.4Write and solve equations that represent diagrams
- X.5Properties of equality
- X.6Solve one-step equations
- X.7Solve two-step equations
- X.8Solve multi-step equations
- X.9Solve equations involving like terms
- X.10Solve equations: word problems

## One-variable inequalities

## Linear equations

- Z.1Find the gradient of a graph
- Z.2Find the gradient from two points
- Z.3Find a missing coordinate using gradient
- Z.4Find the gradient of an equation
- Z.5Graph a line using gradient
- Z.6Graph a line from an equation
- Z.7Write a linear equation from a gradient and y-intercept
- Z.8Write a linear equation from a graph
- Z.9Write a linear equation from a gradient and a point
- Z.10Write a linear equation from two points
- Z.11Gradients of parallel and perpendicular lines

## Functions

- AA.1Identify functions
- AA.2Does (x, y) satisfy the linear function?
- AA.3Identify independent and dependent variables
- AA.4Rate of change
- AA.5Constant rate of change
- AA.6Complete a table for a linear function
- AA.7Complete a table and graph a linear function
- AA.8Interpret the graph of a linear function: word problems
- AA.9Write a linear function from a table
- AA.10Compare linear functions: graphs, tables and equations
- AA.11Write linear functions: word problems
- AA.12Interpret linear functions
- AA.13Identify linear and nonlinear functions
- AA.14Does (x, y) satisfy the nonlinear function?
- AA.15Find values using function graphs
- AA.16Complete a table for a function graph

## Monomials and polynomials

- BB.1Identify monomials
- BB.2Model polynomials with algebra tiles
- BB.3Add and subtract polynomials using algebra tiles
- BB.4Add and subtract polynomials
- BB.5Add polynomials to find perimeter
- BB.6Multiply monomials
- BB.7Divide monomials
- BB.8Multiply and divide monomials
- BB.9Powers of monomials
- BB.10Square and cube roots of monomials
- BB.11Multiply polynomials using algebra tiles
- BB.12Multiply polynomials
- BB.13Multiply polynomials to find area

## Data and graphs

- CC.1Interpret tables
- CC.2Interpret bar graphs for categorical data
- CC.3Create bar graphs for categorical data
- CC.4Interpret line graphs
- CC.5Create line graphs
- CC.6Interpret line plots
- CC.7Create line plots
- CC.8Interpret stem-and-leaf plots
- CC.9Interpret bar graphs for continuous data
- CC.10Create bar graphs for continuous data
- CC.11Create frequency charts
- CC.12Interpret box-and-whisker plots
- CC.13Scatter plots
- CC.14Interpret pie charts
- CC.15Pie charts and central angles
- CC.16Choose the best type of graph

## Statistics

## Probability

- EE.1Probability of simple events
- EE.2Probability of opposite, mutually exclusive and overlapping events
- EE.3Experimental probability
- EE.4Make predictions
- EE.5Compound events: find the number of outcomes
- EE.6Identify independent and dependent events
- EE.7Probability of independent and dependent events
- EE.8Counting principle