Functions and graphing
Graphs, functions and relations
Notation
Translations and reflections
Symmetry/Even and odd functions, algebraically and graphically
Expansions and contractions
Algebra of functions, function composition
Inverse functions
Piecewise-defined functions
Graphs of rational functions
Exponential functions and their graphs
Logarithmic functions and their graphs
Calculator usage with respect to graphs
2. Trigonometry
a.Graphs of trig functions
b.Inverse trig functions and their graphs.
C. Review of unit circle
d .Trigonometric identities
e. Law of sines and law of cosines.
3. Algebra
Finding equations of lines
Review slope as rate of change
Review of factoring polynomials
Simplifying expressions (difference quotients, other rational expressions)
Solving equations (linear, polynomial, rational, exponential, logarithmic, radical, trigonometric)
Solving inequalities (linear, polynomial, rational, exponential)
Properties of logarithms and exponents
Review of modeling with distance = rate x time
4. Geometry
Writing algebraic expressions for areas and volumes of common geometric shapes
Writing algebraic expressions using similar triangles and right triangle trigonometry
5. Sequences and Series
Sequence and summation notation
Arithmetic and geometric sequences and series.
6. Logic and Proof
Review of if-then statements, if-and-only-if statements.
Converse, inverse, and contrapositive.
Induction.
Statement: Course will cover a SUBSET of these topics in just-in-time remediation for the “parent” course.