# 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?

## Constructions

## Trigonometry

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

## Coordinate graphs

## Variable expressions and equations

## Solve equations

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

## Single-variable inequalities

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

## Data and graphs

## Problem solving

## Number sequences

## Relations and functions

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

## Direct variation

## Linear functions

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

## Simultaneous equations

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

## Exponents

## Scientific notation

## Exponential functions

## Monomials

## Polynomials

- Z.1Polynomial vocabulary
- 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 a polynomial by a monomial
- Z.7Multiply two polynomials using algebra tiles
- Z.8Multiply two binomials
- Z.9Multiply two binomials: special cases
- Z.10Multiply polynomials

## Factorising

## Quadratic equations

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