Gizmos for British Columbia - Mathematics: Principles of Mathematics: Grade 11 (British Columbia Learning Outcomes adopted 2006)

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

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

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

A.2.1: : algebraically (elimination and substitution)

A.2.2: : graphically

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

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

A.8.1: : vertex

A.8.2: : domain and range

A.8.3: : axis of symmetry

A.8.4: : x- and y-intercepts

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

A.10: : determine the inverse of a function

A.11: : connect algebraic and graphical transformations of quadratic functions, using completing the square as required

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

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

A.13.1: : factoring

A.13.2: : the quadratic formula

A.13.3: : graphing

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

A.14.2: : graphing

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

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

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

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

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

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

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

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

Correlation last revised: 9/16/2020

British Columbia - Mathematics: Principles of Mathematics: Grade 11

British Columbia Learning Outcomes | Adopted: 2006

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

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.