**Grade 10 Math Curriculum**

**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
- Simplify 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 graphs**

- Coordinate graph 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
- Identities and equations with no 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
- 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
- Complete a function table
- Evaluate function rules I
- Evaluate function rules II
- Graph a function
- Write a function rule: word problems
- Find points on a function graph
- Write a rule for a function table

**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 slope from two points
- Find a missing coordinate using slope
- Slope-intercept form: find 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
- Linear function word problems
- 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 from a graph
- Point-slope form: write an equation
- 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

**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: 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 an 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 and scale factors

**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
- Classify quadrilaterals
- Properties of parallelograms

**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**

- 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**

- 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
**1**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
- 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