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

## Rational numbers

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

## Operations with rational numbers

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

## Exponents and roots

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

## Standard form

## Ratios, rates and proportions

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

## Proportional relationships

- I.1 Find the constant of proportionality from a table
- I.2 Write equations for proportional relationships from tables
- I.3 Identify proportional relationships by graphing
- I.4 Find the constant of proportionality from a graph
- I.5 Write equations for proportional relationships from graphs
- I.6 Identify proportional relationships
- I.7 Graph proportional relationships
- I.8 Interpret graphs of proportional relationships
- I.9 Write and solve equations for proportional relationships

## Percents

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

## Consumer maths

- K.1 Price lists
- K.2 Unit prices
- K.3 Unit prices: find the total price
- K.4 Percent of a number: VAT, discount and more
- K.5 Find the percent: discount and mark-up
- K.6 Sale prices: find the original price
- K.7 Multi-step problems with percents
- K.8 Estimate tips
- K.9 Simple interest
- K.10 Compound interest

## Units of measurement

## Problem solving

## Coordinate plane

## Two-dimensional figures

- O.1 Identify and classify polygons
- O.2 Classify triangles
- O.3 Identify trapeziums
- O.4 Classify quadrilaterals
- O.5 Graph triangles and quadrilaterals
- O.6 Find missing angles in triangles and quadrilaterals
- O.7 Interior angles of polygons
- O.8 Identify complementary, supplementary, vertical, adjacent and congruent angles
- O.9 Find measures of complementary, supplementary, vertical and adjacent angles
- O.10 Transversal of parallel lines
- O.11 Find lengths and measures of bisected line segments and angles
- O.12 Parts of a circle

## Transformations and congruence

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

## Transformations and similarity

## Constructions

## Pythagoras' theorem

## Three-dimensional figures

## Geometric measurement

- U.1 Perimeter
- U.2 Area
- U.3 Area and perimeter: word problems
- U.4 Area between two shapes
- U.5 Circles, semicircles and quarter circles
- U.6 Circles: word problems
- U.7 Volume
- U.8 Surface area of prisms and cylinders
- U.9 Volume and surface area of similar solids
- U.10 Perimeter, area and volume: changes in scale

## Expressions and properties

- W.1 Write variable expressions
- W.2 Write variable expressions from diagrams
- W.3 Write variable expressions: word problems
- W.4 Evaluate one-variable expressions
- W.5 Evaluate multi-variable expressions
- W.6 Evaluate absolute value expressions
- W.7 Evaluate radical expressions
- W.8 Evaluate rational expressions
- W.9 Identify terms and coefficients
- W.10 Sort factors of expressions
- W.11 Properties of addition and multiplication
- W.12 Multiply using the distributive property
- W.13 Simplify variable expressions using properties
- W.14 Add and subtract like terms
- W.15 Add, subtract and multiply linear expressions
- W.16 Factors of linear expressions
- W.17 Identify equivalent linear expressions

## One-variable equations

- X.1 Which x satisfies an equation?
- X.2 Write an equation from words
- X.3 Model and solve equations using algebra tiles
- X.4 Write and solve equations that represent diagrams
- X.5 Properties of equality
- X.6 Solve one-step equations
- X.7 Solve two-step equations
- X.8 Solve multi-step equations
- X.9 Solve equations involving like terms
- X.10 Solve equations with variables on both sides
- X.11 Solve equations: mixed review
- X.12 Solve equations: complete the solution
- X.13 Solve equations: word problems

## One-variable inequalities

## Linear equations

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

## Functions

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

## Monomials and polynomials

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

## Data and graphs

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

## Statistics

## Probability

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