Manitoba Curriculum

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

Cosine Function

Sine Function

Tangent Function

Translating and Scaling Sine and Cosine Functions

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

12P.T.6.a: reciprocal identities

Simplifying Trigonometric Expressions

12P.T.6.b: quotient identities

Simplifying Trigonometric Expressions

Sine, Cosine, and Tangent Ratios

12P.T.6.c: Pythagorean identities

Simplifying Trigonometric Expressions

Sine, Cosine, and Tangent Ratios

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

Sum and Difference Identities for Sine and Cosine

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

Addition and Subtraction 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.

Absolute Value with Linear Functions

Introduction to Exponential Functions

Quadratics in Vertex Form

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Translations

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.

Introduction to Exponential Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

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

Absolute Value with Linear Functions

Introduction to Exponential Functions

Quadratics in Vertex Form

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Translations

Zap It! Game

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

Absolute Value with Linear Functions

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

Compound Interest

Exponential Functions

Introduction to Exponential Functions

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).

Graphs of Polynomial Functions

Polynomials and Linear Factors

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

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.

Binomial Probabilities

Permutations and Combinations

Correlation last revised: 1/22/2020

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