# Grade 10 maths

Here is a list of all of the maths skills students learn in grade 10! 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

## Consumer maths

## Solve equations

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

## Single-variable inequalities

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

## Linear functions

- F.1Identify linear functions
- F.2Find the slope of a graph
- F.3Find the slope from two points
- F.4Find a missing coordinate using slope
- F.5Slope-intercept form: find the slope and y-intercept
- F.6Slope-intercept form: graph an equation
- F.7Slope-intercept form: write an equation from a graph
- F.8Slope-intercept form: write an equation
- F.9Slope-intercept form: write an equation from a table
- F.10Slope-intercept form: write an equation from a word problem
- F.11Write linear functions to solve word problems
- F.12Complete a table and graph a linear function
- F.13Compare linear functions: graphs, tables and equations
- F.14Write equations in standard form
- F.15Standard form: find x- and y-intercepts
- F.16Standard form: graph an equation
- F.17Equations of horizontal and vertical lines
- F.18Graph a horizontal or vertical line
- F.19Point-slope form: graph an equation
- F.20Point-slope form: write an equation
- F.21Point-slope form: write an equation from a graph
- F.22Slopes of parallel and perpendicular lines
- F.23Write an equation for a parallel or perpendicular line
- F.24Find the distance between a point and a line
- F.25Find the distance between two parallel lines
- F.26Transformations of linear functions

## Simultaneous equations

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

## Exponents

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

## Exponential functions

## Number sequences

## Polynomials

- L.1Polynomial vocabulary
- L.2Model polynomials with algebra tiles
- L.3Add and subtract polynomials using algebra tiles
- L.4Add and subtract polynomials
- L.5Add polynomials to find perimeter
- L.6Multiply and divide monomials
- L.7Powers of monomials
- L.8Multiply a polynomial by a monomial
- L.9Multiply two polynomials using algebra tiles
- L.10Multiply two binomials
- L.11Multiply two binomials: special cases
- L.12Multiply polynomials

## Factorising

## Quadratic equations

- N.1Characteristics of quadratic functions
- N.2Complete a function table: quadratic functions
- N.3Solve a quadratic equation using square roots
- N.4Solve a quadratic equation using the zero product property
- N.5Solve a quadratic equation by factorising
- N.6Complete the square
- N.7Solve a quadratic equation by completing the square
- N.8Solve a quadratic equation using the quadratic formula
- N.9Using the discriminant

## Functions: linear, quadratic, exponential

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

## Radical expressions

## Rational functions and expressions

## Points, lines and segments

## Angles

## Parallel and perpendicular lines

## Two-dimensional figures

- U.1Polygon vocabulary
- U.2Perimeter
- U.3Area of triangles and quadrilaterals
- U.4Area and perimeter in the coordinate plane I
- U.5Area and perimeter in the coordinate plane II
- U.6Area and circumference of circles
- U.7Area of compound figures
- U.8Area between two shapes
- U.9Area and perimeter of similar figures

## Introduction to congruent figures

## Congruent triangles

## Transformations

## Triangles

## Similarity

- Z.1Identify similar figures
- Z.2Similarity ratios
- Z.3Similarity statements
- Z.4Side lengths and angle measures in similar figures
- Z.5Similar triangles and indirect measurement
- Z.6Perimeters of similar figures
- Z.7Similarity rules for triangles
- Z.8Similar triangles and similarity transformations
- Z.9Areas of similar figures

## Right triangles

## Trigonometry

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

## Surface area and volume

- CC.1Introduction to surface area and volume
- CC.2Surface area of prisms and cylinders
- CC.3Surface area of pyramids and cones
- CC.4Volume of prisms and cylinders
- CC.5Volume of pyramids and cones
- CC.6Surface area and volume of spheres
- CC.7Introduction to similar solids
- CC.8Surface area and volume of similar solids
- CC.9Surface area and volume review

## Measurement

## Problem solving

## Probability

## Statistics

## Data and graphs

## Constructions

- II.1Construct the midpoint or perpendicular bisector of a segment
- II.2Construct an angle bisector
- II.3Construct a congruent angle
- II.4Construct a perpendicular line
- II.5Construct parallel lines
- II.6Construct an equilateral triangle or regular hexagon
- II.7Construct a square
- II.8Construct a tangent line to a circle
- II.9Construct the circumcenter or incenter of a triangle
- II.10Construct the inscribed or circumscribed circle of a triangle
- II.11Construct the centroid or orthocenter of a triangle