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: 9/16/2020