# Grade 9 math

Here is a list of all of the math skills students learn in grade 9! These skills are organized 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.5Add and subtract rational numbers: word problems
- B.6Multiply and divide rational numbers
- B.7Multiply and divide rational numbers: word problems
- B.8Evaluate numerical expressions involving rational numbers
- B.9Evaluate variable expressions involving rational numbers

## Ratios, rates and proportions

## Percents

## Geometry

- E.1Perimeter
- E.2Area
- E.3Area of compound figures
- E.4Area between two shapes
- E.5Symmetry
- E.6Count lines of symmetry
- E.7Draw lines of symmetry
- E.8Interior angles of polygons
- E.9Transversal of parallel lines
- E.10Volume of prisms and pyramids
- E.11Volume of cones and cylinders
- E.12Volume of spheres
- E.13Nets of 3-dimensional figures
- E.14Surface area of prisms and pyramids
- E.15Surface area of cones and cylinders
- E.16Surface area of spheres
- E.17Similar figures: side lengths and angle measures
- E.18Similar triangles and indirect measurement
- E.19Area and perimeter of similar figures
- E.20Similar solids
- E.21Volume and surface area of similar solids
- E.22Perimeter, area and volume: changes in scale
- E.23Identify reflections, rotations and translations
- E.24Reflections, rotations and translations: find the coordinates
- E.25Reflections, rotations and translations: graph the image
- E.26Dilations and scale factors
- E.27Pythagorean theorem
- E.28Pythagorean theorem: word problems
- E.29Converse of the Pythagorean theorem: is it a right triangle?

## Circles

- F.1Parts of a circle
- F.2Circles: calculate area, circumference, radius and diameter
- F.3Circles: word problems
- F.4Central angles
- F.5Arc measure and arc length
- F.6Area of sectors
- F.7Circle measurements: mixed review
- F.8Arcs and chords
- F.9Tangent lines
- F.10Perimeter of polygons with an inscribed circle
- F.11Inscribed angles
- F.12Angles in inscribed right triangles
- F.13Angles in inscribed quadrilaterals

## Properties

## Exponents

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

## Scientific notation

## Problem solving

## Number sequences

## Variable expressions and equations

## Solve equations

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

## Single-variable inequalities

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

## Relations and functions

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

## Direct variation

## Linear functions

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