Genesee Course Catalog
Official Course Information
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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: 3 hrs.
Course Student Learning Outcomes (CSLOs):
Upon successful completion of the course, the student will be able to demonstrate each of the following skills in writing on one or more tests without referring to notes, textbook, or other resources:
* 1. Use the Order of Operations Agreement to correctly evaluate numerical expressions involving integers and/or fractions and any combination of addition, subtraction, multiplication, division, whole number exponents, and parentheses.
2. Write the prime factorization of a given natural number greater than 1 and less than 1000.
* 3. Correctly evaluate expressions involving addition, subtraction, multiplication, and division of pairs of numbers from the following categories and express the answers in simplest form: a) integers, b) decimal numbers, c) fractions with unlike denominators and mixed numbers (in combination with each other and with whole numbers).
4. Use the symbols < , > , and = to correctly 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. Correctly round a given whole number or decimal number to a given place value.
6. a) Using words, correctly write the name of a give whole number, less than one quadrillion, that is shown written in standard decimal form.
b) Using words, correctly write the name of a given positive number, less than one, which is shown written in standard decimal form.
c) Correctly write a whole number, less than one quadrillion, in standard decimal form when given its name written in words.
d) Correctly write a positive number, less than one, in standard decimal form when given its name written in words.
7. a) When given two quantities (measured with either the same or different units), correctly express their relationship using a ratio or rate written in simplest fraction form.
b) Correctly write a unit rate involving two given quantities.
8. Correctly set up and solve a proportion when given a verbal description of a proportional situation in which one quantity is unknown.
9. Correctly convert a given number from one of the following forms to each of the other two forms:
a) Percent, b) fraction/mixed number, c) decimal.
10. Find the missing percent, base, or amount when given the other two using either the percent equation
percent . base = amount or the percent proportion .
11. Correctly evaluate expressions involving only rational numbers, absolute value symbols, and negative signs.
12. a) Correctly convert given numbers greater than 10 from scientific notation to standard decimal form.
b) Correctly convert given numbers less than 0.1 from scientific notation to standard decimal form.
c) Correctly convert given numbers greater than 10 from standard decimal form to scientific notation.
d) Correctly convert given numbers less than 0.1 from standard decimal form to scientific notation.
13. Correctly use the Distributive Property, Commutative and Associative Properties of Addition and Multiplication, and combining like terms to simplify a variable expression.
14. Correctly 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. a) Convert measurements of length/distance, weight, and capacity to equivalent measurements with different sized units within the U.S. Customary System.
b) Convert measurements of length/distance, mass, and capacity to equivalent measurements with different sized units 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.
I. Whole Numbers, Factors, and Multiples
Naming and writing whole numbers; rounding; operations with whole numbers; exponential notation;
the Order of Operations Agreement; factors and multiples; divisibility tests;
prime factorization; LCM (least common multiples) and GCF (greatest common factors);
properties of addition and multiplication with real numbers; basic geometry vocabulary,
perimeter, and area; basic problem solving
II. Fractions and Mixed Numbers
Writing equivalent fractions (reducing to lowest terms and building to higher terms);
equivalent mixed numbers and improper fractions; addition, subtraction, multiplication, and
division of any combination of fractions, mixed numbers, and whole numbers; size comparison of fractions
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
IV. Measurement Conversions
Conversions of units of measurement of length/distance, weight, capacity, and time within the U. S. Customary System using Unit Analysis; conversions of units of measurement of length/distance, mass, and capacity, within the Metric System (S. I.)
V. 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 . base = amount or the percent proportion
VII. 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 2011