# 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 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

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

## Exponents

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

## Scientific notation

## Radical expressions

## Rational exponents

## Coordinate plane

## Solve equations

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

## Single-variable inequalities

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

## Data and graphs

## Relations and functions

- J.1 Relations: convert between tables, graphs, mappings and lists of points
- J.2 Domain and range of relations
- J.3 Identify independent and dependent variables
- J.4 Identify functions
- J.5 Identify functions: vertical line test
- J.6 Find values using function graphs
- J.7 Evaluate a function
- J.8 Evaluate a function: plug in an expression
- J.9 Complete a function table from a graph
- J.10 Complete a function table from an equation
- J.11 Interpret the graph of a function: word problems

## Direct and inverse variation

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

## Linear functions

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

## Systems of linear equations

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

## Monomials

## Polynomials

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

## Factoring

## Quadratic equations

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

## Parabolas

## Functions: linear, quadratic, exponential

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

## Rational functions and expressions

## Circles in the coordinate plane

## Measurement

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

## Two-dimensional figures

- Y.1 Polygon vocabulary
- Y.2 Interior angles of polygons
- Y.3 Perimeter
- Y.4 Area of triangles and quadrilaterals
- Y.5 Area and perimeter in the coordinate plane I
- Y.6 Area and perimeter in the coordinate plane II
- Y.7 Area and circumference of circles
- Y.8 Area of compound figures
- Y.9 Area between two shapes
- Y.10 Area and perimeter of similar figures
- Y.11 Identify trapezoids
- Y.12 Classify quadrilaterals
- Y.13 Graph quadrilaterals
- Y.14 Properties of parallelograms
- Y.15 Properties of rhombuses

## Three-dimensional figures

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

## Congruent figures

- AA.1 Congruent line segments
- AA.2 Congruence statements and corresponding parts
- AA.3 Solve problems involving corresponding parts
- AA.4 Identify congruent figures
- AA.5 SSS and SAS Theorems
- AA.6 ASA and AAS Theorems
- AA.7 SSS, SAS, ASA and AAS Theorems
- AA.8 SSS Theorem in the coordinate plane
- AA.9 Congruency in isosceles and equilateral triangles
- AA.10 Hypotenuse-Leg Theorem

## Triangles

## Similarity

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

## Right triangles

## Trigonometry

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

## Transformations

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