**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]