Math 30-1 Curricular Outcomes

Trigonometry

30-1 T1  Demonstrate an understanding of angles in standard position, expressed in degrees and radians. [CN, ME, R, V]

30-1 T2  Develop and apply the equation of the unit circle. [CN, R, V]

30-1 T3  Solve problems, using the six trigonometric ratios for angles expressed in radians and degrees. [ME, PS, R, T, V]   [ICT: C6–4.1]

30-1 T4  Graph and analyze the trigonometric functions sine, cosine and tangent to solve problems. [CN, PS, T, V]   [ICT: C6–4.1, C6–4.3]

30-1 T5  Solve, algebraically and graphically, first and second degree trigonometric equations with the domain expressed in degrees and radians. [CN, PS, R, T, V]   [ICT: C6–4.1, C6–4.4]

30-1 T6  Prove trigonometric identities, using:

  • reciprocal identities
  • quotient identities
  • Pythagorean identities
  • sum or difference identities (restricted to sine, cosine and tangent)
  • double-angle identities (restricted to sine, cosine and tangent).   [R, T, V]   [ICT: C6–4.1, C6–4.4]

Relations and Functions

30-1 RF1  Demonstrate an understanding of operations on, and compositions of, functions.   [CN, R, T, V]   [ICT: C6–4.1]

30-1 RF2  Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of functions and their related equations. [C, CN, R, V]

30-1 RF3  Demonstrate an understanding of the effects of horizontal and vertical stretches on the graphs of functions and their related equations. [C, CN, R, V]

30-1 RF4  Apply translations and stretches to the graphs and equations of functions. [C, CN, R, V]

30-1 RF5  Demonstrate an understanding of the effects of reflections on the graphs of functions and their related equations, including reflections through the:

  • x-axis
  • y-axis
  • line y = x.   [C, CN, R, V]

30-1 RF6  Demonstrate an understanding of inverses of relations. [C, CN, R, V]

30-1 RF7  Demonstrate an understanding of logarithms. [CN, ME, R]

30-1 RF8  Demonstrate an understanding of the product, quotient and power laws of logarithms. [C, CN, ME, R, T]   [ICT: C6–4.1]

30-1 RF9  Graph and analyze exponential and logarithmic functions. [C, CN, T, V]   [ICT: C6–4.3, C6–4.4, F1–4.2]

30-1 RF10  Solve problems that involve exponential and logarithmic equations. [C, CN, PS, R]

30-1 RF11  Demonstrate an understanding of factoring polynomials of degree greater than 2 (limited to polynomials of degree ≤ 5 with integral coefficients). [C, CN, ME]

30-1 RF12  Graph and analyze polynomial functions (limited to polynomial functions of degree ≤ 5). [C, CN, T, V] [ICT: C6–4.3, C6–4.4]

30-1 RF 13  Graph and analyze radical functions (limited to functions involving one radical).  [CN, R, T, V]   [ICT: C6–4.1, C6–4.3]

30-1 RF14  Graph and analyze rational functions (limited to numerators and denominators that are monomials, binomials or trinomials).  [CN, R, T, V]   [ICT: C6–4.1, C6–4.3, C6–4.4]

Permutations, Combinations and the Binomial Theorem

30-1 PC1  Apply the fundamental counting principle to solve problems.   [C, PS, R, V]   [ICT: C6–2.3]

30-1 PC2  Determine the number of permutations of n elements taken r at a time to solve problems. [C, PS, R, V]

30-1 PC3  Determine the number of combinations of n different elements taken r at a time to solve problems. [C, PS, R, V]

30-1 PC4  Expand powers of a binomial in a variety of ways, including using the binomial theorem (restricted to exponents that are natural numbers). [CN, R, V]

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