# 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 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

## Consumer maths

## Solve equations

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

## Single-variable inequalities

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

## Linear functions

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

## Simultaneous equations

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

## Exponents

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

## Exponential functions

## Number sequences

## Polynomials

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

## Factorising

## Quadratic equations

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

## Functions: linear, quadratic, exponential

- O.1 Identify linear, quadratic and exponential functions from graphs
- O.2 Identify linear, quadratic and exponential functions from tables
- O.3 Write linear, quadratic and exponential functions
- O.4 Linear functions over unit intervals
- O.5 Exponential functions over unit intervals
- O.6 Describe 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.1 Polygon vocabulary
- U.2 Perimeter
- U.3 Area of triangles and quadrilaterals
- U.4 Area and perimeter in the coordinate plane I
- U.5 Area and perimeter in the coordinate plane II
- U.6 Area and circumference of circles
- U.7 Area of compound figures
- U.8 Area between two shapes
- U.9 Area and perimeter of similar figures

## Introduction to congruent figures

## Congruent triangles

## Transformations

## Triangles

## Similarity

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

## Right triangles

## Trigonometry

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

## Surface area and volume

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

## Measurement

## Problem solving

## Probability

## Statistics

## Data and graphs

## Constructions

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