# Third year

Here is a list of all of the skills students learn in third year! 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!

## Numbers

## Operations

- B.1Add, subtract, multiply and divide integers
- B.2Order of operations with integers
- B.3Evaluate variable expressions involving integers
- B.4Add and subtract rational numbers
- B.5Multiply and divide rational numbers
- B.6Order of operations with rational numbers
- B.7Evaluate variable expressions involving rational numbers

## Ratios and proportions

## Percents

## Measurement

## Geometry

- F.1Perimeter
- F.2Area
- F.3Symmetry
- F.4Transversal of parallel lines
- F.5Volume
- F.6Nets of 3-dimensional figures
- F.7Surface area
- F.8Congruent triangles: SSS, SAS and ASA
- F.9Similar figures: side lengths and angle measures
- F.10Similar triangles and indirect measurement
- F.11Area and perimeter of similar figures
- F.12Area between two shapes
- F.13Similar solids
- F.14Volume and surface area of similar solids
- F.15Perimeter, area and volume: changes in scale
- F.16Identify reflections, rotations and translations
- F.17Reflections, rotations and translations: find the coordinates
- F.18Reflections, rotations and translations: graph the image
- F.19Dilations and scale factors
- F.20Pythagoras' theorem
- F.21Pythagoras' theorem: word problems
- F.22Converse of Pythagoras' theorem: is it a right triangle?

## Trigonometry

- G.1Trigonometric ratios: sin, cos and tan
- G.2Trigonometric ratios: csc, sec and cot
- G.3Find trigonometric functions of special angles
- G.4Find trigonometric functions using a calculator
- G.5Inverses of trigonometric functions
- G.6Trigonometric ratios: find a side length
- G.7Trigonometric ratios: find an angle measure
- G.8Solve a right triangle

## Coordinate graphs

## Properties

## Variable expressions and equations

## Solve equations

- K.1Model and solve equations using algebra tiles
- K.2Write and solve equations that represent diagrams
- K.3Solve one-step linear equations
- K.4Solve two-step linear equations
- K.5Solve advanced linear equations
- K.6Solve equations with variables on both sides
- K.7Identities and equations with no solutions
- K.8Solve linear equations: word problems
- K.9Solve linear equations: mixed review

## Single-variable inequalities

- L.1Graph inequalities
- L.2Write inequalities from graphs
- L.3Identify solutions to inequalities
- L.4Solve one-step linear inequalities: addition and subtraction
- L.5Solve one-step linear inequalities: multiplication and division
- L.6Solve one-step linear inequalities
- L.7Graph solutions to one-step linear inequalities
- L.8Solve two-step linear inequalities
- L.9Graph solutions to two-step linear inequalities
- L.10Solve advanced linear inequalities
- L.11Graph solutions to advanced linear inequalities

## Data and graphs

## Problem solving

## Number sequences

## Relations and functions

- Q.1Relations: convert between tables, graphs, mappings and lists of points
- Q.2Domain and range of relations
- Q.3Identify independent and dependent variables
- Q.4Identify functions
- Q.5Identify functions: vertical line test
- Q.6Complete a function table
- Q.7Evaluate function rules I
- Q.8Evaluate function rules II
- Q.9Graph a function
- Q.10Write a function rule: word problems
- Q.11Find points on a function graph
- Q.12Write a rule for a function table

## Direct variation

## Linear functions

- S.1Identify linear functions
- S.2Find the slope of a graph
- S.3Find slope from two points
- S.4Slope-intercept form: find slope and y-intercept
- S.5Slope-intercept form: graph an equation
- S.6Slope-intercept form: write an equation from a graph
- S.7Slope-intercept form: write an equation
- S.8Linear equations: solve for y
- S.9Linear function word problems
- S.10Write equations in standard form
- S.11Standard form: find x- and y-intercepts
- S.12Standard form: graph an equation
- S.13Equations of horizontal and vertical lines
- S.14Graph a horizontal or vertical line
- S.15Point-slope form: graph an equation
- S.16Point-slope form: write an equation from a graph
- S.17Point-slope form: write an equation
- S.18Slopes of parallel and perpendicular lines
- S.19Write an equation for a parallel or perpendicular line

## Simultaneous equations

- T.1Is (x, y) a solution to the simultaneous equations?
- T.2Solve simultaneous equations by graphing
- T.3Solve simultaneous equations by graphing: word problems
- T.4Find the number of solutions to simultaneous equations by graphing
- T.5Find the number of solutions to simultaneous equations
- T.6Solve simultaneous equations using substitution
- T.7Solve simultaneous equations using substitution: word problems
- T.8Solve simultaneous equations using elimination
- T.9Solve simultaneous equations using elimination: word problems

## Exponents

## Scientific notation

## Exponential functions

## Monomials

## Polynomials

- Y.1Polynomial vocabulary
- Y.2Model polynomials with algebra tiles
- Y.3Add and subtract polynomials using algebra tiles
- Y.4Add and subtract polynomials
- Y.5Add polynomials to find perimeter
- Y.6Multiply a polynomial by a monomial
- Y.7Multiply two polynomials using algebra tiles
- Y.8Multiply two binomials
- Y.9Multiply two binomials: special cases
- Y.10Multiply polynomials

## Factorising

## Quadratic equations

- AA.1Characteristics of quadratic functions
- AA.2Complete a function table: quadratic functions
- AA.3Solve a quadratic equation using square roots
- AA.4Solve an equation using the zero product property
- AA.5Solve a quadratic equation by factorising
- AA.6Solve a quadratic equation using the quadratic formula