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Essentials of Pre-College Math

Essential Pre-College Math is a series of 16 self-paced online modules that cover topics ranging from basic number properties to factoring and graphing polynomials. The modules are designed to help students review or master content usually covered in Pre-Algebra and Algebra I courses taught in high school while at the same time presenting the material with authentic examples illustrating how mathematics is used in the various fields of study related to work for architectural engineering technicians or construction. A solid understanding of this level of mathematics is crucial, and a prerequisite, for enrolling and succeeding in college level mathematics courses required in the Architectural and Engineering Technology (AES) degree and certificate programs as well as in most other fields of study.

The self-paced, modular structure of the courses allows students to work on their areas of weakness without requiring them to spend time on material they have already mastered. Additionally, it allows students to improve their mastery of pre-college foundational math without the tuition cost normally associated with remedial mathematics courses.


Course:

The 2 courses in Essential Pre-College Math (PreAlgebra and Beginning Algebra) each contain 8 modules (for a total of 16).

 

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Pedagogical Approach

None

Learning Outcomes

The learning objectives (LOs) are:

PreAlgebra Module 1: Whole Numbers LO: Student will use properties of whole numbers to perform basic math operations in order to solve simple equations.

PreAlgebra Module 2: Integers LO: Student will use properties of integers to solve simple equations and application problems

PreAlgebra Module 3: Fractions LO: Student will use properties of fractions to solve simple equations and application problems.

PreAlgebra Module 4: Addition and Subtraction with Fractions LO: Student will use techniques of finding Least Common Denominators (LCD) in order to add or subtract proper fractions and mixed numbers.

PreAlgebra Module 5: Decimal Numbers LO: Student will use place values and powers of 10 to set up and solve simple equations and applications using decimals.

PreAlgebra Module 6: Real Numbers LO: Student will use the properties of real numbers to simplify expressions, and set up and solve simple equations and applications problems.

PreAlgebra Module 7: Measurement and Proportion LO: Student will demonstrate proficiency in using the metric system of measurement, by correctly solving applications using proportions, conversions, and direct and indirect variations.

PreAlgebra Module 8: Percent LO: Student will use percent in decimal and fractional form to solve equations and application problems involving percent.

Beginning Algebra Module 1: First Degree Equations and Inequalities with One Variable LO: Student will use the properties of equality and real numbers to solve first-degree equations, inequalities, and absolute values.

Beginning Algebra Module 2: Linear Equations I LO: Student will graph solutions to linear equations on a plane and develop equations from points and slope.

Beginning Algebra Module 3: Linear Equations II LO: Student will use a graphing calculator to find a line of best fit, solve a variety of application problems involving linear equations, identify functions, and use function notation .

Beginning Algebra Module 4: Systems of Linear Equations and Inequalities in Two Variables LO: Student will solve systems of linear equations and inequalities in two variables using a variety of methods.

Beginning Algebra Module 5: Variable Expression I LO: Student will manipulate variable expressions using properties of real numbers and rules of exponentiation.

Beginning Algebra Module 6: Variable Expression II LO: Student will manipulate variable expressions using properties of real numbers and rules of exponentiation and use techniques to solve polynomial functions.

Beginning Algebra Module 7: Factoring LO: Student will successfully factor second and third degree expressions using general factoring techniques and will use the zero factor property rule to solve second degree equations and functions.

Beginning Algebra Module 8: Graphing Polynomial Equations LO: Student will identify general polynomial equations and their graphs.

 

Assessment

Pretests, self-checks, and posttests for each module cotain interactive exercises, tiered feedback, and scoring.

Other Information

None

Course Resources

  • Pre-Algebra Module 1: Whole Numbers
    Beginning Algebra Module 1: First Degree Equations and Inequalities with One Variable LO: Student will use the... More
  • Prealgebra Module 2: Integers