Gizmos for Alberta - Mathematics: 30-1 (Program of Studies adopted 2008)

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

T: : Trigonometry

T.1: : Develop trigonometric reasoning.

T.1.1: : Demonstrate an understanding of angles in standard position, expressed in degrees and radians.

T.1.2: : Develop and apply the equation of the unit circle.

T.1.3: : Solve problems, using the six trigonometric ratios for angles expressed in radians and degrees.

T.1.4: : Graph and analyze the trigonometric functions sine, cosine and tangent to solve problems.

T.1.6: : Prove trigonometric identities, using:

T.1.6.a: : reciprocal identities

T.1.6.b: : quotient identities

T.1.6.c: : Pythagorean identities

T.1.6.d: : sum or difference identities (restricted to sine, cosine and tangent)

RF: : Relations and Functions

RF.1: : Develop algebraic and graphical reasoning through the study of relations.

RF.1.1: : Demonstrate an understanding of operations on, and compositions of, functions.

RF.1.2: : Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of functions and their related equations.

RF.1.3: : Demonstrate an understanding of the effects of horizontal and vertical stretches on the graphs of functions and their related equations.

RF.1.4: : Apply translations and stretches to the graphs and equations of functions.

RF.1.5: : Demonstrate an understanding of the effects of reflections on the graphs of functions and their related equations, including reflections through the:

RF.1.5.a: : x-axis

RF.1.5.b: : y-axis

RF.1.6: : Demonstrate an understanding of inverses of relations.

RF.1.7: : Demonstrate an understanding of logarithms.

RF.1.9: : Graph and analyze exponential and logarithmic functions.

RF.1.10: : Solve problems that involve exponential and logarithmic equations.

RF.1.11: : Demonstrate an understanding of factoring polynomials of degree greater than 2 (limited to polynomials of degree less than or equal to 5 with integral coefficients).

RF.1.12: : Graph and analyze polynomial functions (limited to polynomial functions of degree less than or equal to 5).

RF.1.13: : Graph and analyze radical functions (limited to functions involving one radical).

RF.1.14: : Graph and analyze rational functions (limited to numerators and denominators that are monomials, binomials or trinomials).

PCB: : Permutations, Combinations and Binomial Theorem

PCB.1: : Develop algebraic and numeric reasoning that involves combinatorics.

PCB.1.2: : Determine the number of permutations of n elements taken r at a time to solve problems.

PCB.1.3: : Determine the number of combinations of n different elements taken r at a time to solve problems.

PCB.1.4: : Expand powers of a binomial in a variety of ways, including using the binomial theorem (restricted to exponents that are natural numbers).

Correlation last revised: 11/14/2022

Alberta - Mathematics: 30-1

Program of Studies | Adopted: 2008

T: : Trigonometry

RF: : Relations and Functions

PCB: : Permutations, Combinations and Binomial Theorem