# Grade 10 math

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

- A.1Factors
- A.2Prime factorization
- A.3Greatest common factor
- A.4Least common multiple
- A.5GCF and LCM: word problems
- A.6Square roots
- A.7Cube roots
- A.8Classify rational and irrational numbers
- A.9Classify numbers
- A.10Compare and order rational numbers
- A.11Absolute value and opposites
- A.12Number lines
- A.13Convert between decimals and fractions

## Exponents

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

## Scientific notation

## Radical expressions

## Rational exponents

## Coordinate graphs

## Solve equations

- G.1Model and solve equations using algebra tiles
- G.2Write and solve equations that represent diagrams
- G.3Solve one-step linear equations
- G.4Solve two-step linear equations
- G.5Solve advanced linear equations
- G.6Solve equations with variables on both sides
- G.7Identities and equations with no solutions
- G.8Solve linear equations: word problems
- G.9Solve linear equations: mixed review

## Single-variable inequalities

- H.1Graph inequalities
- H.2Write inequalities from graphs
- H.3Identify solutions to inequalities
- H.4Solve one-step linear inequalities: addition and subtraction
- H.5Solve one-step linear inequalities: multiplication and division
- H.6Solve one-step linear inequalities
- H.7Graph solutions to one-step linear inequalities
- H.8Solve two-step linear inequalities
- H.9Graph solutions to two-step linear inequalities
- H.10Solve advanced linear inequalities
- H.11Graph solutions to advanced linear inequalities
- H.12Graph compound inequalities
- H.13Write compound inequalities from graphs
- H.14Solve compound inequalities
- H.15Graph solutions to compound inequalities

## Data and graphs

## Relations and functions

- J.1Relations: convert between tables, graphs, mappings and lists of points
- J.2Domain and range of relations
- J.3Identify independent and dependent variables
- J.4Identify functions
- J.5Identify functions: vertical line test
- J.6Complete a function table
- J.7Evaluate function rules I
- J.8Evaluate function rules II
- J.9Graph a function
- J.10Write a function rule: word problems
- J.11Find points on a function graph
- J.12Write a rule for a function table

## Direct and inverse variation

- K.1Identify proportional relationships
- K.2Find the constant of variation
- K.3Graph a proportional relationship
- K.4Write direct variation equations
- K.5Write and solve direct variation equations
- K.6Identify direct variation and inverse variation
- K.7Write inverse variation equations
- K.8Write and solve inverse variation equations

## Linear functions

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

## Systems of linear equations

- M.1Is (x, y) a solution to the system of equations?
- M.2Solve a system of equations by graphing
- M.3Solve a system of equations by graphing: word problems
- M.4Find the number of solutions to a system of equations by graphing
- M.5Find the number of solutions to a system of equations
- M.6Classify a system of equations by graphing
- M.7Classify a system of equations
- M.8Solve a system of equations using substitution
- M.9Solve a system of equations using substitution: word problems
- M.10Solve a system of equations using elimination
- M.11Solve a system of equations using elimination: word problems
- M.12Solve a system of equations using any method
- M.13Solve a system of equations using any method: word problems

## Monomials

## Polynomials

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

## Factoring

## Quadratic equations

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

## Parabolas

## Functions: linear, quadratic, exponential

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

## Rational functions and expressions

## Circles in the coordinate plane

## Measurement

- W.1Estimate metric measurements
- W.2Convert rates and measurements: metric units
- W.3Estimate imperial measurements of length
- W.4Convert rates and measurements: imperial units of length
- W.5Unit rates
- W.6Unit prices with imperial length conversions
- W.7Imperial mixed units of length
- W.8Convert between metric and imperial units of length
- W.9Scale drawings and scale factors

## Constructions

## Two-dimensional figures

- Y.1Polygon vocabulary
- Y.2Interior angles of polygons
- Y.3Perimeter
- Y.4Area of triangles and quadrilaterals
- Y.5Area and perimeter in the coordinate plane I
- Y.6Area and perimeter in the coordinate plane II
- Y.7Area and circumference of circles
- Y.8Area of compound figures
- Y.9Area between two shapes
- Y.10Area and perimeter of similar figures
- Y.11Classify quadrilaterals
- Y.12Properties of parallelograms

## Three-dimensional figures

- Z.1Three-dimensional figure vocabulary
- Z.2Parts of three-dimensional figures
- Z.3Nets and drawings of three-dimensional figures
- Z.4Introduction to surface area and volume
- Z.5Surface area of prisms and cylinders
- Z.6Surface area of pyramids and cones
- Z.7Volume of prisms and cylinders
- Z.8Volume of pyramids and cones
- Z.9Surface area and volume of spheres
- Z.10Introduction to similar solids
- Z.11Surface area and volume of similar solids
- Z.12Surface area and volume review
- Z.13Cross-sections of three-dimensional figures
- Z.14Solids of revolution

## Congruent figures

- AA.1Congruence statements and corresponding parts
- AA.2Solve problems involving corresponding parts
- AA.3Identify congruent figures
- AA.4SSS and SAS Theorems
- AA.5ASA and AAS Theorems
- AA.6SSS, SAS, ASA and AAS Theorems
- AA.7SSS Theorem in the coordinate plane
- AA.8Congruency in isosceles and equilateral triangles
- AA.9Hypotenuse-Leg Theorem

## Triangles

## Similarity

- CC.1Identify similar figures
- CC.2Similarity ratios
- CC.3Similarity statements
- CC.4Side lengths and angle measures in similar figures
- CC.5Similar triangles and indirect measurement
- CC.6Perimeters of similar figures
- CC.7Similarity rules for triangles
- CC.8Similar triangles and similarity transformations
- CC.9Similarity of circles
- CC.10Triangle Proportionality Theorem
- CC.11Areas of similar figures

## Right triangles

## Trigonometry

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

## Transformations

- FF.1Translations: graph the image
- FF.2Translations: find the coordinates
- FF.3Translations: write the rule
- FF.4Reflections: graph the image
- FF.5Reflections: find the coordinates
- FF.6Rotate polygons about a point
- FF.7Rotations: graph the image
- FF.8Rotations: find the coordinates
- FF.9Classify congruence transformations
- FF.10Compositions of congruence transformations: graph the image
- FF.11Transformations that carry a polygon onto itself
- FF.12Congruence transformations: mixed review
- FF.13Dilations: graph the image
- FF.14Dilations: find the coordinates
- FF.15Dilations: scale factor and classification
- FF.16Dilations and parallel lines