## Alberta 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

• Simplify radical expressions by rationalizing the denominator
• 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 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
• 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 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 by grouping
• Factor polynomials

• 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
• 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

• 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
• 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
• 1Transformations 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

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