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At the conclusion of this course, the student should be able to:
1. Use advanced computation skills in addition, subtraction, multiplication, and division (i.e. the four operations) with real numbers.
2. Interpret word problems involving one variable and set up linear equations to solve them.
3. Solve pre-algebra problems including simple linear equations with real numbers.
4. Evaluate and solve formulas.
5. Solve complex word problems involving multiple operations.
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I. Real Numbers
A. Introduction to the number line, integers, rationals, absolute value, and inequalities
B. Advanced skill development of the four operations as applied to the real numbers without a calculator
C. Order of operations
D. Translating words and phrases to set up and solve math expressions with real numbers
E. Reading and interpreting charts, graphs, and tables (histograms, line graphs, bar graphs, and scatterplots)
F. Mathematical modeling and applications
G. Word problems with real numbers
II. Exponents
A. Rules of exponents: zero exponent, product rule, quotient rule, negative exponents, and the power rule
B. Use of scientific calculator
C. Scientific notation
D. Square roots
1. Rational and irrational solutions
2. Application of the Pythagorean Theorem
E. Word problems involving exponents (exponential growth and decay)
III. Algebra Expressions and Equations
A. Introduction to algebraic vocabulary: variable, constant, term, coefficient, degree, expression, equation, and polynomials
B. Simplifying and evaluating algebraic expressions
C. Solving linear equations
1. Single-step equations (addition/subtraction or multiplication/division)
2. Multi-step equations (addition/subtraction and multiplication/division)
3. Equations with variables on both sides
4. Equations with fractions, decimals, and percents
IV. Academic Learning Skills
A. Self-assessment and goal setting
B. Study techniques
C. Support services, including:
1. Tutorial center/learning center
2. Student consultation hours
3. Counseling
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Instructor-prepared materials.