# 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 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!

## Numbers

## Operations

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

## Ratios, rates and proportions

## Percents

## Measurement

## Geometry

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

## Constructions

## Trigonometry

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

## Coordinate plane

## Properties

## Variable expressions and equations

- K.1 Write variable expressions
- K.2 Simplify variable expressions involving like terms and the distributive property
- K.3 Identify equivalent linear expressions
- K.4 Write variable equations
- K.5 Does x satisfy the equation?
- K.6 Which x satisfies an equation?
- K.7 Solve equations using order of operations

## Solve equations

- L.1 Model and solve equations using algebra tiles
- L.2 Write and solve equations that represent diagrams
- L.3 Solve one-step linear equations
- L.4 Solve two-step linear equations
- L.5 Solve advanced linear equations
- L.6 Solve equations with variables on both sides
- L.7 Solve equations: complete the solution
- L.8 Find the number of solutions
- L.9 Create equations with no solutions or infinitely many solutions
- L.10 Solve linear equations: word problems
- L.11 Solve linear equations: mixed review

## Single-variable inequalities

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

## Data and graphs

## Problem solving

## Number sequences

## Relations and functions

- R.1 Relations: convert between tables, graphs, mappings and lists of points
- R.2 Domain and range of relations
- R.3 Identify independent and dependent variables
- R.4 Identify functions
- R.5 Identify functions: vertical line test
- R.6 Find values using function graphs
- R.7 Evaluate a function
- R.8 Evaluate a function: plug in an expression
- R.9 Complete a function table from a graph
- R.10 Complete a function table from an equation
- R.11 Interpret the graph of a function: word problems

## Direct variation

## Linear functions

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

## Simultaneous equations

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

## Exponents

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

## Scientific notation

## Exponential functions

## Monomials

## Polynomials

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

## Factorising

- AA.1 HCF of monomials
- AA.2 Factorise out a monomial
- AA.3 Factorise quadratics with leading coefficient 1
- AA.4 Factorise quadratics with other leading coefficients
- AA.5 Factorise quadratics: special cases
- AA.6 Factorise quadratics using algebra tiles
- AA.7 Factorise by grouping
- AA.8 Factorise polynomials

## Quadratic equations

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

## Functions: linear, quadratic, exponential

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