# Year 9

Here is a list of all of the 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.8Simplify expressions involving integers and absolute values
- C.9Evaluate variable expressions with integers and absolute values

## Rational numbers

## Operations with rational numbers

- E.1Reciprocals and multiplicative inverses
- E.2Add and subtract rational numbers
- E.3Add and subtract rational numbers: word problems
- E.4Multiply and divide rational numbers
- E.5Multiply and divide rational numbers: word problems
- E.6Simplify expressions involving rational numbers
- E.7Evaluate variable expressions involving rational numbers

## Exponents and roots

- F.1Understanding exponents
- F.2Evaluate exponents
- F.3Exponents: solve for the variable
- 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.12Simplify expressions involving exponents
- F.13Square roots of perfect squares
- F.14Positive and negative square roots
- F.15Estimate positive and negative square roots
- F.16Relationship between squares and square roots
- F.17Evaluate variable expressions involving squares and square roots
- F.18Cube roots of perfect cubes
- F.19Estimate cube roots

## Scientific notation

## Ratios and proportions

- H.1Understanding ratios
- H.2Equivalent ratios
- H.3Equivalent ratios: word problems
- H.4Compare ratios: word problems
- H.5Unit rates
- H.6Do the ratios form a proportion?
- H.7Do the ratios form a proportion: word problems
- H.8Solve proportions
- H.9Solve proportions: word problems
- H.10Estimate population size using proportions
- H.11Rate of change
- H.12Constant rate of change
- H.13Scale drawings and scale factors

## 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

## Problem solving

## Data and graphs

- M.1Interpret tables
- M.2Interpret bar graphs
- M.3Create bar graphs
- M.4Interpret line graphs
- M.5Create line graphs
- M.6Interpret line plots
- M.7Create line plots
- M.8Create and interpret line plots with fractions
- M.9Interpret stem-and-leaf plots
- M.10Interpret histograms
- M.11Create histograms
- M.12Create frequency charts
- M.13Interpret box-and-whisker plots
- M.14Scatter plots
- M.15Interpret circle graphs
- M.16Circle graphs and central angles
- M.17Choose the best type of graph

## Pythagorean theorem

## Coordinate graphs

## Geometry

- P.1Identify complementary, supplementary, vertical, adjacent and congruent angles
- P.2Find measures of complementary, supplementary, vertical and adjacent angles
- P.3Transversal of parallel lines
- P.4Classify triangles
- P.5Classify quadrilaterals
- P.6Find missing angles in triangles and quadrilaterals
- P.7Identify and classify polygons
- P.8Interior angles of polygons
- P.9Similar and congruent figures
- P.10Similar figures: side lengths and angle measures
- P.11Congruent figures: side lengths and angle measures
- P.12Congruence statements and corresponding parts
- P.13Congruent triangles: SSS, SAS and ASA
- P.14Perimeter
- P.15Area
- P.16Area and perimeter: word problems
- P.17Area between two shapes
- P.18Parts of a circle
- P.19Circles, semicircles and quarter circles
- P.20Circles: word problems
- P.21Find lengths and measures of bisected lines and angles
- P.22Front, side and top view
- P.23Base plans
- P.24Names and parts of 3-dimensional figures
- P.25Nets of 3-dimensional figures
- P.26Surface area of prisms and cylinders
- P.27Volume
- P.28Similar solids
- P.29Volume and surface area of similar solids
- P.30Perimeter, area and volume: changes in scale

## Transformations

- Q.1Identify reflections, rotations and translations
- Q.2Translations: graph the image
- Q.3Translations: find the coordinates
- Q.4Reflections: graph the image
- Q.5Reflections: find the coordinates
- Q.6Rotations: graph the image
- Q.7Rotations: find the coordinates
- Q.8Dilations: graph the image
- Q.9Dilations: find the coordinates
- Q.10Dilations: scale factor and classification
- Q.11Symmetry

## Measurement

## Number sequences

## Variable expressions

## Single-variable equations

- V.1Does x satisfy the equation?
- V.2Model and solve equations using algebra tiles
- V.3Write and solve equations that represent diagrams
- V.4Solve one-step linear equations
- V.5Solve two-step linear equations
- V.6Solve equations involving squares and square roots
- V.7Solve multi-step equations
- V.8Solve equations involving like terms

## Linear functions

- W.1Does (x, y) satisfy the linear equation?
- W.2Complete a function table
- W.3Write a rule for a function table
- W.4Find points on a function graph
- W.5Graph a line from a function table
- W.6Graph a line from an equation
- W.7Linear function word problems
- W.8Find the slope of a graph
- W.9Find slope from two points
- W.10Find a missing coordinate using slope
- W.11Find slope from an equation
- W.12Graph a line using slope
- W.13Slopes of parallel and perpendicular lines

## Nonlinear functions

## Inequalities

## Monomials and polynomials

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

## Properties

## Probability

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