knowledge and skills required

knowledge and skills required

Please note that although high school credit will be earned, students do not receive college credit by merely taking this class.

College credit will be awarded

Knowledge and skills required:

- solving routine, straightforward problems (about 50% of the examination)
- solving non-routine problems requiring an understanding of concepts and the application of skills and concepts (about 50% of the examination)

Subject matter/concepts:

Solving equations, linear inequalities, and systems of linear equations by analytic and graphical methods.

Interpretation, representation, and evaluation of functions: numerical, graphical, symbolic, and descriptive methods.

Graphs of functions: translations, horizontal and vertical reflections, and symmetry about the x-axis, the y-axis, and the origin

Linear and exponential growth

Applications

Linear Equations and Inequalities

Linear Inequalities

Graphing Linear Inequalities

Systems of Equations

Functions

Interpreting Functions

Functions

Exponential Functions

Quadratic Functions

Geometry Transformations

Linear and Exponential Growth

Counting problems: the multiplication rule, combinations, and permutations

Probability: union, intersection, independent complementary events, conditional probabilities, and expected value

Applications

Independent and Dependent Events

Probability and Combinations

Random Variables and Probability Distributions

Data interpretation and representation: tables, bar graphs, line graphs, circle graphs, pie charts, scatterplots, and histograms,

Numerical summaries of data: mean (average), median, mode, and range

Standard deviation, normal distribution (conceptual questions only)

Applications

Statistical Studies

Descriptive Statistics

Regression

Inferential Statistics

Percents, percent change, markups, discounts, taxes, profit, and loss

Interest: simple, compound, continuous interest, effective interest rate, effective annual yield or annual percentage rate (APR)

Present value and future value

Applications

Finance and Capital Markets

Properties of triangles and quadrilaterals: perimeter, area, similarity, and the Pythagorean theorem

Parallel and perpendicular lines

Properties of circles: circumference, area, central angles, inscribed angles, and sectors

Applications

Geometry

Logical operations and statements: conditional statements, conjunctions, disjunctions, negations, hypotheses, logical conclusions, converses,inverses, counterexamples, contrapositives, logical equivalence

Set relationships, subsets, disjoint sets, equality of sets, and Venn diagrams

Operations on sets: union, intersection, complement, and Cartesian product

Applications

Sequences, Series and Induction

Basic Set Notation

Data and Modeling

Properties of numbers and their operations: integers and rational, irrational, and real numbers (including recognizing rational and irrational numbers)

Elementary number theory: factors and divisibility, primes and composites, odd and even integers, and the fundamental theorem of arithmetic

Measurement: unit conversion, scientific notation, and numerical precision

Absolute value

Applications

Rational and Irrational Numbers

Factors and Divisibility

Prime and Composite Numbers

Even and Odd

Fundamental Theorem of Arithmetic

Unit Conversion

Scientific Notation

Numerical Precision

Absolute Value