# Third year maths

Here is a list of all of the maths 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.2Evaluate numerical expressions involving integers
- B.3Evaluate variable expressions involving integers
- B.4Add and subtract rational numbers
- B.5Multiply and divide rational numbers
- B.6Evaluate numerical expressions involving rational numbers
- B.7Evaluate variable expressions involving rational numbers

## Ratios, rates and proportions

## Percents

## Measurement

## Geometry

- F.1Perimeter
- F.2Area
- F.3Symmetry
- F.4Count lines of symmetry
- F.5Draw lines of symmetry
- F.6Transversal of parallel lines
- F.7Volume
- F.8Nets of 3-dimensional figures
- F.9Surface area
- F.10Congruent triangles: SSS, SAS and ASA
- F.11Similar figures: side lengths and angle measures
- F.12Similar triangles and indirect measurement
- F.13Area and perimeter of similar figures
- F.14Area between two shapes
- F.15Similar solids
- F.16Volume and surface area of similar solids
- F.17Perimeter, area and volume: changes in scale
- F.18Identify reflections, rotations and translations
- F.19Reflections, rotations and translations: find the coordinates
- F.20Reflections, rotations and translations: graph the image
- F.21Dilations and scale factors
- F.22Pythagoras' theorem
- F.23Pythagoras' theorem: word problems
- F.24Converse 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 plane

## Properties

## 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.7Find the number of solutions
- L.8Create equations with no solutions or infinitely many solutions
- L.9Solve linear equations: word problems
- L.10Solve 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.6Find values using function graphs
- R.7Evaluate a function
- R.8Evaluate a function: plug in an expression
- R.9Complete a function table from a graph
- R.10Complete a function table from an equation
- R.11Interpret the graph of a function: word problems

## Direct variation

## Linear functions

- T.1Identify linear functions
- T.2Find the slope of a graph
- T.3Find the slope from two points
- T.4Find a missing coordinate using slope
- T.5Slope-intercept form: find the slope and y-intercept
- T.6Slope-intercept form: graph an equation
- T.7Slope-intercept form: write an equation from a graph
- T.8Slope-intercept form: write an equation
- T.9Slope-intercept form: write an equation from a table
- T.10Slope-intercept form: write an equation from a word problem
- T.11Linear equations: solve for y
- T.12Write linear functions to solve word problems
- T.13Complete a table and graph a linear function
- T.14Compare linear functions: graphs, tables and equations
- T.15Write equations in standard form
- T.16Standard form: find x- and y-intercepts
- T.17Standard form: graph an equation
- T.18Equations of horizontal and vertical lines
- T.19Graph a horizontal or vertical line
- T.20Point-slope form: graph an equation
- T.21Point-slope form: write an equation
- T.22Point-slope form: write an equation from a graph
- T.23Slopes of parallel and perpendicular lines
- T.24Write an equation for a parallel or perpendicular line
- T.25Transformations of linear functions

## 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

- V.1Exponents with integer bases
- V.2Exponents with decimal and fractional bases
- V.3Negative exponents
- V.4Multiplication with exponents
- V.5Division with exponents
- V.6Multiplication and division with exponents
- V.7Power rule
- V.8Evaluate expressions involving exponents
- V.9Identify equivalent expressions involving 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

## Functions: linear, quadratic, exponential

- CC.1Identify linear, quadratic and exponential functions from graphs
- CC.2Identify linear, quadratic and exponential functions from tables
- CC.3Write linear, quadratic and exponential functions
- CC.4Linear functions over unit intervals
- CC.5Exponential functions over unit intervals
- CC.6Describe linear and exponential growth and decay