Gizmos for Alberta - Mathematics: Pure Math 20 (Program of Studies adopted 2002)

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

1: : Linear and Nonlinear Systems

1.1: : Graph linear inequalities, in two variables.

1.2: : Solve systems of linear equations, in two variables:

1.2.1: : algebraically (elimination and substitution)

1.2.2: : graphically.

2: : Quadratic Functions and Equations

2.1: : Determine the following characteristics of the graph of a quadratic function:

2.1.1: : vertex

2.1.2: : domain and range

2.1.3: : axis of symmetry

2.1.4: : intercepts.

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

2.3: : Model real-world situations, using quadratic functions.

2.4: : Solve quadratic equations, and relate the solutions to the zeros of a corresponding quadratic function, using:

2.4.1: : factoring

2.4.2: : the quadratic formula

2.4.3: : graphing.

2.5: : Determine the character of the real and non-real roots of a quadratic equation, using:

2.5.1: : the discriminant in the quadratic formula

2.5.2: : graphing.

3: : Polynomial and Other Nonlinear Equations and Functions

3.1: : Solve nonlinear equations:

3.1.1: : by factoring

3.1.2: : graphically.

3.2: : Use the remainder theorem to evaluate polynomial expressions and the factor theorem to determine factors of polynomials.

3.3: : Perform operations on functions and compositions of functions.

3.4: : Determine the inverse of a function.

3.5: : Describe, graph and analyze polynomial and rational functions, using technology.

3.6: : Formulate and apply strategies to solve:

3.6.1: : absolute value equations

3.6.2: : radical equations

3.6.4: : quadratic inequalities

4: : Formal Reasoning

4.1: : Differentiate between inductive and deductive reasoning.

5: : Circles and Coordinate Geometry

5.1: : Use technology and measurement to confirm and apply the following properties to particular cases:

5.1.2: : the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc

5.1.3: : the inscribed angles subtended by the same arc are congruent

5.1.4: : the angle inscribed in a semicircle is a right angle

5.2: : Prove the following general properties, using established concepts and theorems:

5.2.2: : the angle inscribed in a semicircle is a right angle

6: : Finance

6.1: : Solve consumer problems, which may include examples such as:

6.1.3: : exchange rates.

6.4: : Plot and describe financial data of exponential form.

6.5: : Solve investment and credit problems involving simple and compound interest.

Correlation last revised: 9/16/2020

Alberta - Mathematics: Pure Math 20

Program of Studies | Adopted: 2002