# Year 9 maths

Here is a list of all of the maths 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!

## 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

- D.1Convert between percents, fractions and decimals
- D.2Solve percent equations
- D.3Percent word problems
- D.4Percent of change
- D.5Percent of change: word problems
- D.6Simple interest
- D.7Compound interest
- D.8Percent of a number: GST, discount and more
- D.9Find the percent: discount and mark-up
- D.10Multi-step problems with percents

## Measurement

## Geometry

- F.1Perimeter
- F.2Area
- F.3Area of compound figures
- F.4Area between two shapes
- F.5Interior angles of polygons
- F.6Transversal of parallel lines
- F.7Volume
- F.8Surface area
- F.9Congruent figures: side lengths and angle measures
- F.10Similar figures: side lengths and angle measures
- F.11Similar triangles and indirect measurement
- F.12Dilations and scale factors
- F.13Area and perimeter of similar figures
- F.14Similar solids
- F.15Volume and surface area of similar solids
- F.16Perimeter, area and volume: changes in scale
- F.17Pythagoras' theorem
- F.18Pythagoras' theorem: word problems
- F.19Converse of Pythagoras' theorem: is it a right triangle?
- F.20Special right triangles

## 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
- G.9Trigonometric ratios in similar right triangles

## Coordinate plane

## Properties

## 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.7Find the number of solutions
- K.8Create equations with no solutions or infinitely many solutions
- K.9Solve linear equations: word problems
- K.10Solve 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

## Relations and functions

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

## Direct variation

## Linear functions

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

## Simultaneous equations

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

## Exponents

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

## Scientific notation

## Monomials

## Polynomials

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