Alberta - Mathematics: Pure Math 20b

Program of Studies | Adopted: 2002

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This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.

2: : Patterns and Relations

2.A: : Patterns

2.A.1: : Generate and analyze number patterns.

2.A.1.b: : Use expressions to represent general terms and sums for arithmetic growth, and apply these expressions to solve problems.

2.A.1.c: : Relate arithmetic sequences to linear functions defined over the natural numbers.

2.B: : Variables and Equations

2.B.1: : Generalize operations on polynomials to include rational expressions.

2.B.1.1: : Factor polynomial expressions of the form ax² + bx + c, and a²x² - b²y².

2.B.1.3: : Divide a polynomial by a binomial, and express the result in the forms:

2.B.1.3.a: : P/D = Q + R/D

2.B.2: : Represent and analyze situations that involve expressions, equations and inequalities.

2.B.2.1: : Solve nonlinear equations:

2.B.2.1.a: : by factoring

2.B.2.1.b: : graphically.

2.B.2.2: : Use the Remainder Theorem to evaluate polynomial expressions and the Factor Theorem to determine factors of polynomials.

2.C: : Relations and Functions

2.C.1: : Examine the nature of relations with an emphasis on functions.

2.C.1.1: : Perform operations on functions and compositions of functions.

2.C.1.2: : Determine the inverse of a function.

2.C.2: : Represent and analyze quadratic, polynomial and rational functions, using technology as appropriate.

2.C.2.1: : Connect algebraic and graphical transformations of quadratic functions, using completing the square as required.

2.C.2.2: : Model real-world situations, using quadratic functions.

2.C.2.3: : Solve quadratic equations, and relate the solutions to the zeros of a corresponding quadratic function, using:

2.C.2.3.a: : factoring

2.C.2.3.b: : the quadratic formula

2.C.2.3.c: : graphing.

2.C.2.4: : Determine the character of the real and non-real roots of a quadratic equation, using:

2.C.2.4.a: : the discriminant in the quadratic formula

2.C.2.4.b: : graphing.

2.C.2.5: : Describe, graph and analyze polynomial and rational functions, using technology.

2.C.2.6: : Formulate and apply strategies to solve absolute value equations, radical equations, rational equations and inequalities.

3: : Shape and Space

3.B: : (3-D Objects and 2-D Shapes)

3.B.2: : Develop and apply the geometric properties of circles and polygons to solve problems.

3.B.2.1: : Prove the following general properties, using established concepts and theorems:

3.B.2.1.b: : the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc (for the case when the centre of the circle is in the interior of the inscribed angle)

3.B.2.1.c: : the inscribed angles subtended by the same arc are congruent

3.B.2.1.d: : the angle inscribed in a semicircle is a right angle

4: : Statistics and Probability

4.A: : Chance and Uncertainty

4.A.1: : Make and analyze decisions, using expected gains and losses, based on the probabilities of simple events.

4.A.1.1: : Connect probabilities to calculated expected gains or losses.

4.A.1.2: : Solve decision-making problems involving expected values, and communicate the solutions.

Correlation last revised: 9/16/2020