Northwest Territories- Mathematics: Pure Math 20

Alberta Program of Studies    Adopted: 2002

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  4. Mathematics: Pure Math 20

1: Linear and Nonlinear Systems

1.1: Graph linear inequalities, in two variables.

Solving Linear Inequalities in One Variable
 Systems of Linear Inequalities (Slope-intercept form)

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

1.2.1: algebraically (elimination and substitution)

Solving Equations by Graphing Each Side
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

1.2.2: graphically.

Cat and Mouse (Modeling with Linear Systems) - Metric
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

2: Quadratic Functions and Equations

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

2.1.1: vertex

Quadratics in Vertex Form
 Zap It! Game

2.1.2: domain and range

Exponential Functions

2.1.3: axis of symmetry

Quadratics in Polynomial Form

2.1.4: intercepts.

Polynomials and Linear Factors
 Zap It! Game

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

Exponential Functions
 Quadratics in Vertex Form
 Translating and Scaling Functions
 Translations
 Zap It! Game

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

Addition and Subtraction of Functions
 Quadratics in Polynomial Form

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

2.4.1: factoring

Roots of a Quadratic

2.4.2: the quadratic formula

Roots of a Quadratic

2.4.3: graphing.

Roots of a Quadratic

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

Roots of a Quadratic

2.5.2: graphing.

Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Roots of a Quadratic

3: Polynomial and Other Nonlinear Equations and Functions

3.1: Solve nonlinear equations:

3.1.1: by factoring

Quadratics in Factored Form

3.1.2: graphically.

Quadratics in Factored Form
 Radical Functions

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

Dividing Polynomials Using Synthetic Division

3.3: Perform operations on functions and compositions of functions.

Addition and Subtraction of Functions

3.4: Determine the inverse of a function.

Logarithmic Functions
 Radical Functions

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

General Form of a Rational Function
 Graphs of Polynomial Functions
 Polynomials and Linear Factors
 Quadratics in Factored Form
 Quadratics in Vertex Form
 Rational Functions

3.6: Formulate and apply strategies to solve:

3.6.1: absolute value equations

Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions

3.6.2: radical equations

Operations with Radical Expressions
 Radical Functions

3.6.4: quadratic inequalities

Quadratic Inequalities

4: Formal Reasoning

4.1: Differentiate between inductive and deductive reasoning.

Conditional Statements

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

Chords and Arcs
 Inscribed Angles

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

Inscribed Angles

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

Inscribed Angles

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

Inscribed Angles

6: Finance

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

6.1.3: exchange rates.

Percent of Change

6.4: Plot and describe financial data of exponential form.

Compound Interest

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

Compound Interest

Correlation last revised: 9/16/2020

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