Grade 10 Math
CONTENTS


Numbers

Factors
Prime factorization
Greatest common factor
Least common multiple
GCF and LCM: word problems
Square roots
Cube roots
Classify rational and irrational numbers
Classify numbers
Compare and order rational numbers
Absolute value and opposites
Number lines
Convert between decimals and fractions
Exponents

Exponents with integer bases
Exponents with decimal and fractional bases
Negative exponents
Multiplication with exponents
Division with exponents
Multiplication and division with exponents
Power rule
Evaluate expressions using properties of exponents
Identify equivalent expressions involving exponents
Scientific notation

Convert between standard and scientific notation
Compare numbers written in scientific notation
Multiply numbers written in scientific notation
Divide numbers written in scientific notation
Radical expressions

Simplify radical expressions
Simplify radical expressions by rationalizing the denominator
Multiply radical expressions
Add and subtract radical expressions
Simplify radical expressions using the distributive property
Simplify radical expressions: mixed review
Rational exponents

Evaluate rational exponents
Multiplication with rational exponents
Division with rational exponents
Power rule with rational exponents
Simplify expressions involving rational exponents I
Simplify expressions involving rational exponents II
Coordinate plane

Coordinate plane review
Midpoints
Distance between two points
Solve equations

Model and solve equations using algebra tiles
Write and solve equations that represent diagrams
Solve one-step linear equations
Solve two-step linear equations
Solve advanced linear equations
Solve equations with variables on both sides
Solve equations: complete the solution
Find the number of solutions
Create equations with no solutions or infinitely many solutions
Solve linear equations: word problems
Solve linear equations: mixed review
Single-variable inequalities

Graph inequalities
Write inequalities from graphs
Identify solutions to inequalities
Solve one-step linear inequalities: addition and subtraction
Solve one-step linear inequalities: multiplication and division
Solve one-step linear inequalities
Graph solutions to one-step linear inequalities
Solve two-step linear inequalities
Graph solutions to two-step linear inequalities
Solve advanced linear inequalities
Graph solutions to advanced linear inequalities
Graph compound inequalities
Write compound inequalities from graphs
Solve compound inequalities
Graph solutions to compound inequalities
Data and graphs

Interpret bar graphs, line graphs and histograms
Create bar graphs, line graphs and histograms
Interpret circle graphs
Interpret stem-and-leaf plots
Interpret box-and-whisker plots
Interpret a scatter plot
Scatter plots: line of best fit
Relations and functions

Relations: convert between tables, graphs, mappings and lists of points
Domain and range of relations
Identify independent and dependent variables
Identify functions
Identify functions: vertical line test
Find values using function graphs
Evaluate a function
Evaluate a function: plug in an expression
Complete a function table from a graph
Complete a function table from an equation
Interpret the graph of a function: word problems
Direct and inverse variation

Identify proportional relationships
Find the constant of variation
Graph a proportional relationship
Write direct variation equations
Write and solve direct variation equations
Identify direct variation and inverse variation
Write inverse variation equations
Write and solve inverse variation equations
Linear functions

Identify linear functions
Find the slope of a graph
Find the slope from two points
Find a missing coordinate using slope
Slope-intercept form: find the slope and y-intercept
Slope-intercept form: graph an equation
Slope-intercept form: write an equation from a graph
Slope-intercept form: write an equation
Slope-intercept form: write an equation from a table
Slope-intercept form: write an equation from a word problem
Write linear functions to solve word problems
Complete a table and graph a linear function
Compare linear functions: graphs, tables and equations
Write equations in standard form
Standard form: find x- and y-intercepts
Standard form: graph an equation
Equations of horizontal and vertical lines
Graph a horizontal or vertical line
Point-slope form: graph an equation
Point-slope form: write an equation
Point-slope form: write an equation from a graph
Slopes of parallel and perpendicular lines
Write an equation for a parallel or perpendicular line
Find the distance between a point and a line
Find the distance between two parallel lines
Transformations of linear functions
Systems of linear equations

Is (x, y) a solution to the system of equations?
Solve a system of equations by graphing
Solve a system of equations by graphing: word problems
Find the number of solutions to a system of equations by graphing
Find the number of solutions to a system of equations
Classify a system of equations by graphing
Classify a system of equations
Solve a system of equations using substitution
Solve a system of equations using substitution: word problems
Solve a system of equations using elimination
Solve a system of equations using elimination: word problems
Solve a system of equations using any method
Solve a system of equations using any method: word problems
Monomials

Identify monomials
Multiply monomials
Divide monomials
Multiply and divide monomials
Powers of monomials
Polynomials

Polynomial vocabulary
Model polynomials with algebra tiles
Add and subtract polynomials using algebra tiles
Add and subtract polynomials
Add polynomials to find perimeter
Multiply a polynomial by a monomial
Multiply two polynomials using algebra tiles
Multiply two binomials
Multiply two binomials: special cases
Multiply polynomials
Factoring

GCF of monomials
Factor out a monomial
Factor quadratics with leading coefficient 1
Factor quadratics with other leading coefficients
Factor quadratics using algebra tiles
Factor quadratics: special cases
Factor by grouping
Factor polynomials
Quadratic equations

Characteristics of quadratic functions
Complete a function table: quadratic functions
Solve a quadratic equation using square roots
Solve a quadratic equation using the zero product property
Solve a quadratic equation by factoring
Complete the square
Solve a quadratic equation by completing the square
Solve a quadratic equation using the quadratic formula
Using the discriminant
Parabolas

Identify the direction a parabola opens
Find the vertex of a parabola
Find the axis of symmetry of a parabola
Write equations of parabolas in vertex form from graphs
Write equations of parabolas in vertex form using properties
Graph parabolas
Functions: linear, quadratic, exponential

Identify linear, quadratic and exponential functions from graphs
Identify linear, quadratic and exponential functions from tables
Write linear, quadratic and exponential functions
Linear functions over unit intervals
Exponential functions over unit intervals
Describe linear and exponential growth and decay
Rational functions and expressions

Rational functions: asymptotes and excluded values
Simplify complex fractions
Simplify rational expressions
Multiply and divide rational expressions
Divide polynomials
Add and subtract rational expressions
Solve rational equations
Circles in the coordinate plane

Find the centre of a circle
Find the radius or diameter of a circle
Write equations of circles in standard form from graphs
Write equations of circles in standard form using properties
Graph circles
Logic

Identify hypotheses and conclusions
Counterexamples
Truth tables
Truth values
Conditionals
Negations
Converses, inverses and contrapositives
Biconditionals
Measurement

Estimate metric measurements
Convert rates and measurements: metric units
Estimate imperial measurements of length
Convert rates and measurements: imperial units of length
Unit rates
Unit prices with imperial length conversions
Imperial mixed units of length
Convert between metric and imperial units of length
Scale drawings: word problems
Constructions

Construct an angle bisector
Construct a congruent angle
Two-dimensional figures

Polygon vocabulary
Interior angles of polygons
Perimeter
Area of triangles and quadrilaterals
Area and perimeter in the coordinate plane I
Area and perimeter in the coordinate plane II
Area and circumference of circles
Area of compound figures
Area between two shapes
Area and perimeter of similar figures
Identify trapezoids
Classify quadrilaterals
Graph quadrilaterals
Properties of parallelograms
Properties of rhombuses
Three-dimensional figures

Three-dimensional figure vocabulary
Parts of three-dimensional figures
Nets and drawings of three-dimensional figures
Introduction to surface area and volume
Surface area of prisms and cylinders
Surface area of pyramids and cones
Volume of prisms and cylinders
Volume of pyramids and cones
Surface area and volume of spheres
Introduction to similar solids
Surface area and volume of similar solids
Surface area and volume review
Cross-sections of three-dimensional figures
Solids of revolution
Congruent figures

Congruent line segments
Congruence statements and corresponding parts
Solve problems involving corresponding parts
Identify congruent figures
SSS and SAS Theorems
ASA and AAS Theorems
SSS, SAS, ASA and AAS Theorems
SSS Theorem in the coordinate plane
Congruency in isosceles and equilateral triangles
Hypotenuse-Leg Theorem
Triangles

Triangle is a polygon with 3 sides.
Classify triangles
Triangle Angle-Sum Theorem
Midsegments of triangles
Triangles and bisectors
Identify medians, altitudes, angle bisectors and perpendicular bisectors
Angle-side relationships in triangles
Triangle Inequality Theorem
Similarity

Identify similar figures
Similarity ratios
Similarity statements
Side lengths and angle measures in similar figures
Similar triangles and indirect measurement
Perimeters of similar figures
Similarity rules for triangles
Similar triangles and similarity transformations
Similarity of circles
Triangle Proportionality Theorem
Areas of similar figures
Right triangles

Pythagorean Theorem
Converse of the Pythagorean theorem
Pythagorean Inequality Theorems
Special right triangles
Trigonometry

Trigonometric ratios: sin, cos and tan
Trigonometric ratios: csc, sec and cot
Find trigonometric functions of special angles
Find trigonometric functions using a calculator
Inverses of trigonometric functions
Trigonometric ratios: find a side length
Trigonometric ratios: find an angle measure
Solve a right triangle
Transformations

Translations: graph the image
Translations: find the coordinates
Translations: write the rule
Reflections: graph the image
Reflections: find the coordinates
Rotate polygons about a point
Rotations: graph the image
Rotations: find the coordinates
Classify congruence transformations
Compositions of congruence transformations: graph the image
Transformations that carry a polygon onto itself
Congruence transformations: mixed review
Dilations: graph the image
Dilations: find the coordinates
Dilations: scale factor and classification
Dilations and parallel lines
Probability

Theoretical and experimental probability
Compound events: find the number of outcomes
Independent and dependent events
Factorials
Permutations
Counting principle
Permutation and combination notation
Geometric probability
Statistics

Mean, median, mode and range
Quartiles
Identify biased samples
Mean absolute deviation
Variance and standard deviation