Gizmos for Alberta - Mathematics: Pure Math 30 (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: : Transformations of Functions

1.1: : Describe how various translations of functions affect graphs and their related equations:

1.1.1: : y = f(x − h)

1.1.2: : y − k = f(x).

1.2: : Describe how various stretches of functions (compressions and expansions) affect graphs and their related equations:

1.2.1: : y = af(x)

1.2.2: : y = f(kx).

1.3: : Describe how reflections of functions in both axes and in the line y = x affect graphs and their related equations:

1.3.1: : y = f(−x)

1.3.2: : y = −f(x)

1.3.3: : y = f −1(x).

1.5: : Describe and perform single transformations and combinations of transformations on functions and relations.

2: : Exponents, Logarithms and Geometric Series

2.1: : Derive and apply expressions to represent general terms and sums for geometric growth and to solve problems.

2.3: : Solve exponential equations having bases that are powers of one another.

2.5: : Graph and analyze an exponential function, using technology.

2.6: : Model, graph and apply exponential functions to solve problems.

2.7: : Change functions from exponential form to logarithmic form and vice versa.

3: : Trigonometry

3.1: : Distinguish between degree and radian measure, and solve problems using both.

3.2: : Determine the exact and the approximate values of trigonometric ratios for any multiples of 0°, 30°, 45°, 60° and 90° and 0, pi/6, pi/4, pi/3, pi/2.

3.6: : Describe sine, cosine and tangent as circular functions, with reference to the unit circle and an angle in standard position.

3.7: : Use sum, difference and double angle identities for sine and cosine to verify and simplify trigonometric expressions.

3.8: : Draw (using technology), sketch and analyze the graphs of sine, cosine and tangent functions, for:

3.8.1: : amplitude, if defined

3.8.2: : period

3.8.5: : behaviour under transformations.

4: : Conic Sections

4.2: : Classify conic sections according to a given equation in general or standard (completed square) form (vertical or horizontal axis of symmetry only).

5: : Permutations and Combinations

5.2: : Determine the number of linear permutations of n objects taken r at a time, and use this to solve problems.

5.3: : Determine the number of combinations of n distinguishable objects taken r at a time, and use this to solve problems.

5.7: : Solve probability problems using either permutations and combinations or the fundamental counting principle.

6: : Statistics

6.1: : Find the population standard deviation of a data set, using technology.

6.2: : Solve probability problems, using the binomial distribution.

Correlation last revised: 9/16/2020

Alberta - Mathematics: Pure Math 30

Program of Studies | Adopted: 2002