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Based on initial assessment, students will be assigned individual programs of study. Upon completion of this course, students will be able to achieve some or all of the following objectives, as assigned by the instructor:
1. Apply basic operations of addition, subtraction, multiplication, and division to whole numbers, fractions, mixed numbers, and decimals;
2. Apply basic operations to signed numbers and algebraic expressions;
3. Represent a number in its equivalent decimal, fraction, percent, scientific notation;
4. Interpret data from basic graphs, charts, and tables;
5. Use tables of equivalents to convert units of English and metric measurements;
6. Identify basic math language and translate into numerals and symbols;
7. Use rounding and estimating to solve word problems and verify answers;
8. Interpret and apply strategies to solve basic word problems containing whole numbers, fractions, decimals, percents, and signed numbers;
9. Set up and solve basic linear and proportional equations;
10. Apply formulas for perimeter, area, and volume of regular and irregular shapes to solve measurement problems;
11. Apply order of operations when solving math problems.
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Based on initial diagnostic, students will cover some or all of topics I-XI below.
I. Whole numbers
A. Place value and terminology
B. Expanded form and standard notation
C. Rounding and estimating whole numbers
D. Four operations with whole numbers, including the language of
expressing addition, subtraction, multiplication, and division
E. Mean, median, mode
F. Word problems, charts, graphs, and tables with whole numbers.
II. Fractions
A. Fraction terminology
B. Equivalent fractions; reducing and building fractions
C. Four operations with fractions and mixed numbers
D. Prime factors, prime factorization, multiples
E. Word problems with fractions
III. Decimals
A. Place value and terminology of decimal fractions
B. Rounding decimals
C. Conversions between decimals and fractions
D. Comparing and ordering decimals
E. Four operations with decimals
F. Word problems, charts, graphs, and tables with decimals
IV. Ratio and proportion
A. Setting up and solving proportions
B. Unit rate
C. Word problems with ratio and proportion
V. Percents
A. Conversions between decimals, fractions, and percents
B. Setting up percent problems: finding whole, part, and percent
C. Word problems with percents
VI. Measurement
A. Converting units of English and metric measurements
B. Four operations, as applied to units of measurement
VII. Signed numbers
A. Reading a number line with rational numbers, absolute value and
relative size of numbers
B. Four operations with signed integers, fractions, and decimals
C. Word problems with signed numbers
VIII. Exponents
A. Simplifying exponential expressions, using rules of exponents
B. Scientific notation
C. Word problems
IX. Geometry measurement
A. Perimeter, area, and volume of regular and irregular shapes
B. Manipulating formulae
X. Algebraic expressions
A. Algebraic terminology
B. Simplifying algebraic expressions
XI. Equations
A. Solving linear equations
B. Algebraic word problems
XII. Using assessment and self-analysis to set personal goals relating to math.
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Instructor-prepared materials
ALEKS (Assessment and Learning in Knowledge Spaces): McGraw-Hill Higher Education, 2013 or most recent version (online mathematics tutorial program, updated annually)