British Columbia- Mathematics: Principles of Mathematics: Grade 11

British Columbia Learning Outcomes    Adopted: 2006

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  4. Mathematics: Principles of Mathematics: Grade 11

A: Students represent algebraic expressions in multiple ways and use algebraic and graphical models to generalize patterns, make predictions, and solve problems.

A.1: graph linear inequalities, in two variables

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

A.2: solve systems of linear equations, in two variables:

A.2.1: algebraically (elimination and substitution)

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

A.2.2: graphically

Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

A.6: use the Rational Zero Theorem and the Factor Theorem to determine factors of polynomials

Polynomials and Linear Factors

A.8: determine the characteristics of the graph of a quadratic function, including

A.8.1: vertex

Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Zap It! Game

A.8.2: domain and range

Exponential Functions

A.8.3: axis of symmetry

Quadratics in Polynomial Form
 Quadratics in Vertex Form

A.8.4: x- and y-intercepts

Exponential Functions
 Graphs of Polynomial Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Zap It! Game

A.9: perform operations on functions and compositions of functions

Addition and Subtraction of Functions

A.10: determine the inverse of a function

Logarithmic Functions

A.11: 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

A.12: model real-world situations, using quadratic functions

Addition and Subtraction of Functions
 Quadratics in Polynomial Form

A.13: solve quadratic equations, and relate the solutions to the zeros of a corresponding quadratic function, using

A.13.1: factoring

Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form

A.13.2: the quadratic formula

Quadratics in Factored Form
 Roots of a Quadratic

A.13.3: graphing

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

A.14: determine the character of the real and non-real roots of a quadratic equation, using

A.14.1: the discriminant in the quadratic formula

Roots of a Quadratic

A.14.2: graphing

Absolute Value Equations and Inequalities
 Parabolas
 Point-Slope Form of a Line
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Quadratics in Vertex Form
 Radical Functions
 Roots of a Quadratic
 Solving Equations on the Number Line
 Standard Form of a Line

A.16: formulate and apply strategies to solve absolute value equations, radical equations, rational equations, and inequalities

Absolute Value Equations and Inequalities
 Compound Inequalities
 Operations with Radical Expressions
 Radical Functions

B: Students describe and compare everyday phenomena, using either direct or indirect measurement, describe the characteristics of 3-D objects and 2-D shapes, and analyse the relationships among them.

B.1: solve problems involving distances between points and lines

Points in the Coordinate Plane

B.3: investigate the following geometric circle properties using computers with dynamic geometry software, and prove them using established concepts and theorems:

B.3.2: 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

B.3.3: the inscribed angles subtended by the same arc are congruent

Inscribed Angles

B.3.5: the opposite angles of a cyclic quadrilateral are supplementary

Inscribed Angles

B.4: solve problems and justify the solution strategy using circle properties, including

B.4.2: 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

B.4.3: the inscribed angles subtended by the same arc are congruent

Chords and Arcs
 Inscribed Angles

B.4.5: the opposite angles of a cyclic quadrilateral are supplementary

Inscribed Angles

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.