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MAT091 - Basic Math Skills
Catalog Description: Students move through a series of content modules using a mastery learning approach, making extensive use of computer software for content delivery, practice of skills, and assessment (graded homework, quizzes, and module pre- and post-tests). Topics include operations with whole numbers, fractions, decimals, and signed numbers; ratios, rates, and proportions; percent; measurement conversions within the U. S. Customary System and within the Metric System using Unit Analysis; scientific notation; evaluating and simplifying variable expressions; solving linear equations; and some basic geometry. Prerequisite: By placement.
Lecture: 4 hrs.
Course Learning Outcomes (CLOs):
Upon successful completion of this course, the student will be able to:
1. Use the Order of Operations Agreement to correctly evaluate numerical expressions involving integers and/or fractions.*
2. Write the prime factorization of a given natural number that is less than 1000.
3. Evaluate expressions involving addition, subtraction, multiplication, and division of integers, decimal numbers, fractions, and mixed numbers, and express the answers in simplest form.
4. Use the symbols < , > , and = to identify the size relation between pairs of integers, pairs of fractions with unlike denominators, pairs of decimals, and a fraction compared with a decimal.
5. Round a given whole number or decimal number to a given place value.
6. Correctly write the name of a given whole number or decimal number that is shown in standard decimal form, and write a whole number or decimal number in standard decimal form when given its name written in words.
7. When given two quantities (measured with either the same or different units), express their relationship using a ratio or rate written in simplest fraction form, or in the form of a unit rate, as directed.
8. Set up and solve a proportion when given a verbal description of a proportional situation in which one quantity is unknown.
9. Convert a given number from one of the following forms to each of the other two forms: percent, fraction/mixed number, decimal.
10. Find the missing percent, base, or amount when given the other two using either the percent equation percent x base = amount or the percent proportion.
11. Correctly evaluate absolute value expressions involving rational numbers.
12. Convert given numbers from scientific notation to standard decimal form and from standard decimal form to scientific notation.
13. Use the Distributive Property, Commutative and Associative Properties of Addition and Multiplication, and combining like terms to simplify a given variable expression.
14. Solve linear equations in one variable that may include variable and/or constant terms on both sides of the equation and may include expressions in parentheses.
15. Write a variable expression or equation that correctly represents an expression described verbally in writing.
16. Convert measurements of length/distance, weight/mass, and capacity to equivalent measurements with different sized units both within the U.S. Customary System and within the Metric System (S.I.).
* This course objective has been identified as a student learning outcome that must be formally assessed as part of the Comprehensive Assessment Plan of the college. All faculty teaching this course must collect the required data and submit the required analysis and documentation at the conclusion of the semester to the Office of Institutional Research and Assessment.
A. Whole Numbers, Geometry, and Basic Problem Solving
Naming and writing whole numbers; rounding; operations with whole numbers; properties of addition and multiplication with real numbers; basic geometry vocabulary, perimeter, and area; problem solving
B. Exponents, Order of Operations, and Prime Factors
Exponential notation; the Order of Operations Agreement; factors and multiples; divisibility tests; prime factorization; finding LCM (least common multiples) and GCF (greatest common factors)
Writing equivalent fractions (reducing to lowest terms and building to higher terms); addition, subtraction, multiplication, and division of fractions; size comparison of fractions
D. Mixed Numbers
Conversion between equivalent mixed numbers and improper fractions; addition, subtraction, multiplication, and division of any combination of fractions, mixed numbers, and whole numbers
Naming and writing decimal numbers; rounding decimal numbers; addition, subtraction, multiplication, and division of decimals; conversion between decimal and fraction form; size comparison of two decimals and decimals compared with fractions
F. Measurement Conversions
Conversions of units of measurement of length/distance, weight, capacity, area, volume and time within the U. S. Customary System using Unit Analysis; addition, subtraction, multiplication, and division of measurements with mixed units; conversions of units of measurement of length/distance, mass, and capacity within the Metric System (S. I.)
G. Ratio, Rate, and Proportion
Writing ratios and rates in simplest form; writing unit rates; solving proportions; applications with proportions
Converting between percent form and fraction form; converting between percent form and decimal form; solving percent problems using either the percent equation percent x base = amount or the percent proportion
I. Introduction to Algebra
Operations with integers and other rational numbers (signed numbers); absolute value; evaluating and simplifying variable expressions; solving linear equations of the form ax + b = cx + d and equations involving parentheses; translating English phrases and algebraic expressions; Scientific Notation
Effective Term: Fall 2015