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      • knowledge and skills required
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  • Home
  • Prep school
    • Math fundamentals
    • Math Transitions
    • Pre-Algebra
    • 8th Grade Honors
    • additional resources for mentors
  • high school
    • Math for life
    • Math 1
    • Math 2
    • Math 3
    • math elective - personal finance
    • College prep math >
      • college mathematics packet
      • knowledge and skills required
  • State standards
  • Mentor Pages
    • Cache Dexter
    • Toni Zheng
knowledge and skills required
This class is designed to help students prepare for the College Mathematics College-Level Examination Program (CLEP) test.
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 only upon receiving a passing score on the College Mathematics CLEP test.  The Salt Lake Community College considers the College Mathematics CLEP test equivalent to Math 1010.

​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:
​20% Algebra and Functions
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
Algebra and Function Links
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
​​
10% Counting and Probability
Counting problems: the multiplication rule, combinations, and permutations
Probability: union, intersection, independent complementary events, conditional probabilities, and expected value
Applications 
Counting and Probability Links
​Independent and Dependent Events
Probability and Combinations
Random Variables and Probability Distributions

15% Data Analysis and Statistics 
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
Data Analysis and Statistics Links
Statistical Studies
Descriptive Statistics
Regression
Inferential Statistics

20% Financial Mathematics
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
Financial Mathematics Links
Finance and Capital Markets

10% Geometry
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 Links
Geometry

15% Logic and Sets
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
Logic and Sets Links
Sequences, Series and Induction
Basic Set Notation
Data and Modeling

10% Numbers
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
Numbers Links
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

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