## Alberta Grade 11 Math Curriculum Measurement

• Unit rates
• Scale drawings and scale factors

Equations

• Solve linear equations
• Solve linear equations: word problems
• Solve absolute value equations
• Graph solutions to absolute value equations

Inequalities

• Graph a linear inequality in one variable
• Graph a linear inequality in two variables
• Write inequalities from graphs
• Write a linear inequality: word problems
• Solve linear inequalities
• Graph solutions to linear inequalities
• Solve absolute value inequalities
• Graph solutions to absolute value inequalities
• Graph solutions to quadratic inequalities

Functions

• Domain and range
• Identify functions
• Evaluate functions
• Find the slope of a linear function
• Graph a linear function
• Write the equation of a linear function
• Linear functions over unit intervals

Systems of 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
• 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
• Solve a non-linear system of equations

Systems of inequalities

• Is (x, y) a solution to the system of inequalities?
• Solve systems of inequalities by graphing
• Find the vertices of a solution set
• Linear programming

Factoring

• Factor monomials
• Factor using a quadratic pattern
• Factor by grouping
• Factor sums and differences of cubes
• Factor polynomials

• Complete a function table: quadratic functions
• Match quadratic functions and graphs
• 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
• 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

Polynomials

• Polynomial vocabulary
• Multiply a polynomial by a monomial
• Multiply two binomials
• Multiply two binomials: special cases
• Multiply polynomials
• Divide polynomials using long division

• Roots of integers
• Roots of rational numbers
• Find roots using a calculator
• Nth roots
• Simplify radical expressions with variables I
• Simplify radical expressions with variables II
• Simplify radical expressions using the distributive property
• Simplify radical expressions using conjugates
• Domain and range of radical functions

Rational exponents

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

Rational functions and expressions

• Rational functions: asymptotes and excluded values
• Evaluate rational expressions I
• Evaluate rational expressions II
• Simplify rational expressions
• Multiply and divide rational expressions
• Add and subtract rational expressions
• Solve rational equations

Exponential functions

• Evaluate exponential functions
• Match exponential functions and graphs
• Solve exponential equations
• Identify linear and exponential functions
• Exponential functions over unit intervals
• Describe linear and exponential growth and decay
• Exponential growth and decay: word problems
• Compound interest: word problems
• Continuously compounded interest: word problems

Angle measures

• Graphs of angles
• Coterminal angles
• Reference angles

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
• Trigonometric ratios in similar right triangles
• Find trigonometric ratios using the unit circle
• Sin, cos, and tan of special angles
• Csc, sec, and cot of special angles
• Find trigonometric functions using a calculator
• Inverses of sin, cos, and tan
• Inverses of csc, sec, and cot
• Solve trigonometric equations I
• Solve trigonometric equations II
• Trigonometric ratios: find a side length
• Trigonometric ratios: find an angle measure
• Solve a right triangle
• Law of Sines
• Law of Cosines
• Solve a triangle
• Area of a triangle: sine formula
• Area of a triangle: Law of Sines

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

Logic

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

Sequences and series

• Classify formulas and sequences
• Find terms of an arithmetic sequence
• Find terms of a geometric sequence
• Find terms of a recursive sequence
• Evaluate formulas for sequences
• Write a formula for an arithmetic sequence
• Write a formula for a geometric sequence
• Write a formula for a recursive sequence
• Sequences: mixed review
• Introduction to sigma notation
• Identify arithmetic and geometric series
• Find the sum of a finite arithmetic or geometric series
• Introduction to partial sums
• Partial sums of arithmetic series
• Partial sums of geometric series
• Partial sums: mixed review
• Convergent and divergent geometric series
• Find the value of an infinite geometric series
• Write a repeating decimal as a fraction

Probability

• Introduction to probability
• Calculate probabilities of events
• Permutations
• Counting principle
• Permutation and combination notation
• Find probabilities using permutations and combinations
• Find probabilities using two-way frequency tables
• Identify independent events
• Probability of independent and dependent events
• Find conditional probabilities
• Independence and conditional probability
• Find conditional probabilities using two-way frequency tables
• Find probabilities using the addition rule
• Find probabilities using the normal distribution

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