# 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 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 Add and subtract rational numbers: word problems
- B.6 Multiply and divide rational numbers
- B.7 Multiply and divide rational numbers: word problems
- B.8 Evaluate numerical expressions involving rational numbers
- B.9 Evaluate variable expressions involving rational numbers

## Ratios, rates and proportions

## Percents

## Geometry

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

## Circles

- F.1 Parts of a circle
- F.2 Circles: calculate area, circumference, radius and diameter
- F.3 Circles: word problems
- F.4 Central angles
- F.5 Arc measure and arc length
- F.6 Area of sectors
- F.7 Circle measurements: mixed review
- F.8 Arcs and chords
- F.9 Tangent lines
- F.10 Perimeter of polygons with an inscribed circle
- F.11 Inscribed angles
- F.12 Angles in inscribed right triangles
- F.13 Angles in inscribed quadrilaterals I
- F.14 Angles in inscribed quadrilaterals II

## Exponents

- I.1 Understanding exponents
- I.2 Exponents with integer bases
- I.3 Exponents with decimal and fractional bases
- I.4 Negative exponents
- I.5 Multiplication with exponents - integral bases
- I.6 Division with exponents - integral bases
- I.7 Multiplication and division with exponents - integral bases
- I.8 Power rule - integral bases
- I.9 Multiplication with exponents - variable bases
- I.10 Division with exponents - variable bases
- I.11 Multiplication and division with exponents - variable bases
- I.12 Power rule - variable bases
- I.13 Evaluate expressions using properties of exponents
- I.14 Identify equivalent expressions involving exponents

## Scientific notation

## Problem solving

## Number sequences

## Variable expressions and equations

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

## Solve equations

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

## Single-variable inequalities

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

## Relations and functions

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

## Direct variation

## Linear functions

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

## Systems of linear equations

## Monomials

## Polynomials

- V.1 Polynomial vocabulary
- V.2 Model polynomials with algebra tiles
- V.3 Add and subtract polynomials using algebra tiles
- V.4 Add and subtract polynomials
- V.5 Add polynomials to find perimeter
- V.6 Multiply a polynomial by a monomial
- V.7 Multiply polynomials to find area
- V.8 Divide a polynomial by a monomial