#### 12P.T: Trigonometry

12P.T.4: Graph and analyze the trigonometric functions sine, cosine, and tangent to solve problems.

12P.T.6: Prove trigonometric identities, using

12P.T.6.a: reciprocal identities

12P.T.6.b: quotient identities

12P.T.6.c: Pythagorean identities

12P.T.6.d: sum or difference identities (restricted to sine, cosine, and tangent)

#### 12P.R: Relations and Functions

12P.R.1: Demonstrate an understanding of operations on, and compositions of, functions.

12P.R.2: Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of functions and their related equations.

12P.R.3: Demonstrate an understanding of the effects of horizontal and vertical compressions and stretches on the graphs of functions and their related equations.

12P.R.4: Apply translations, compressions and stretches to the graphs and equations of functions.

12P.R.5: Demonstrate an understanding of the effects of reflections on the graphs of functions and their related equations, including reflections through the

12P.R.5.c: line y = x

12P.R.9: Graph and analyze exponential and logarithmic functions.

12P.R.10: Solve problems that involve exponential and logarithmic equations.

12P.R.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).

12P.R.12: Graph and analyze polynomial functions (limited to polynomial functions of degree less than or equal to 5).

12P.R.13: Graph and analyze radical functions (limited to functions involving one radical).

#### 12P.P: Permutations, Combinations and Binomial Theorem

12P.P.2: Determine the number of permutations of n elements taken r at a time to solve problems.

12P.P.3: Determine the number of combinations of n different elements taken r at a time to solve problems.

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.