Extend understanding of functions including:

• algebraic functions (polynomial, rational, power)
• transcendental functions (exponential, logarithmic, trigonometric)
• piecewise functions, including absolute value.

([C, CN, ME, R, T, V])

Extend understanding of factoring, absolute value, and solving inequalities to include:

• rational expressions
• double inequalities
• absolute value inequalities.

([C, CN, ME, R])

Demonstrate understanding of limits and continuity. ([C, CN, ME, PS, R, T, V])

Demonstrate understanding of differentiation based on slope as a rate of change. ([C, CN, PS, R, V])

Extend understanding of curve sketching by applying differentiation and limits. ([C, CN, V])

Demonstrate understanding of the application of derivatives to solve problems including:

• optimization
• rates of change
• related rates.

([C, CN, ME, PS, V])

Demonstrate understanding of transcendental function derivatives and their applications. ([C, CN, R, T, V])

Demonstrate understanding of indefinite and definite integration:

• by sight
• by substitution
• as used in the Fundamental Theorem of Calculus.

([C, CN, ME, PS, T, V])