Course Description: This is an intensive, one semester prealgebra course designed to prepare students for elementary and intermediate algebra courses. The course covers arithmetic operations, mixed and decimal numbers, factoring, fractions, proportions, percentages, measurements, geometry, graphing, and basic algebraic expressions.

Course Prepared by: Ray Verg-in, John Saber, Dana Lee Ling
State/Campus: National

Purpose of Course

Degree Requirement: ______
Degree Elective: ______
Certificate: ______
Remedial: __X___
Other: ______

Prerequisite Course:None, students enter course by placement.
Date approved by Committee: DRAFT
Date approved by President: DRAFT

1. Course Objectives or Learning Outcomes
   1. Program student learning outcomes
      Students will be able to:
      • define mathematical concepts, calculate quantities, estimate solutions, solve problems, represent and interpret mathematical information graphically, and communicate mathematical thoughts and ideas.
   2. Course student learning outcomes
      Students will be able to:
      1. add and subtract whole numbers
      2. multiply and divide whole numbers
      3. perform operations with integers
      4. find factors and calculate multiples
      5. perform operations with fractions
      6. perform operations with decimals
      7. calculate ratios, proportions, and percentages
      8. measurement, geometry, statistics and the usage of formulas
      9. solve basic algebraic expressions
   3. Specific student learning outcomes
      Students will be able to:
      1. add and subtract whole numbers
         1. add and subtract whole numbers
         2. determine decimal place values
         3. round, estimate, and put whole numbers into order
         4. borrow and carry
         5. list and describe the properties of addition
         6. solve applications involving addition and subtraction
      2. multiply and divide whole numbers
         1. list and describe the properties of multiplication
         2. multiply and divide by numbers with more than one digit
         3. demonstrate usage of the long division algorithm
         4. solve applications involving multiplication and division
      3. perform operations with integers
         1. add and subtract integers
         2. multiply and divide integers
         3. calculate exponential expressions involving integers
      4. find factors and calculate multiples
         1. distinguish between prime and composite numbers
         2. write composite numbers as products of prime numbers
         3. find the Greatest Common Factor
         4. find the Least Common Multiple
      5. perform operations with fractions
         1. identify and distinguish proper & improper fractions, and mixed numbers
         2. convert improper fractions to mixed numbers and vice-versa
         3. determine whether fraction are equivalent simplify fractions
         4. multiply and divide fractions
         5. multiply fractions and mixed numbers
         6. simplify and dividing fractions
         7. add and subtraction fractions
         8. find the Least Common Denominator
         9. add and subtract fractions with different denominators
         10. add and subtract mixed numbers
         11. solve applications involving fractions
      6. perform operations with decimals
         1. add and subtract of decimals
         2. determine place value in decimal fractions
         3. round decimals
         4. convert decimals to fractions
         5. multiply and divide decimals
         6. multiply and divide decimals by whole numbers
         7. multiply and divide decimals by powers of 10
         8. perform operations using scientific notation
      7. calculate ratios, proportions, and percentages
         1. define the terms used with ratios and proportions
         2. solve ratio and proportion problems
         3. define the meaning of percent
         4. changing percent to fractions and decimals and back
         5. identify rate, base, and amount
         6. solve applications and word problems with ratios, proportions, and percent
      8. measurement, geometry, statistics and the usage of formulas
         1. define the English system of measurement
         2. define the metric system of measurement
         3. describe the units of these systems
         4. describe the correlation of weight, volume, and length
         5. identify and distinguish lines, angles, and simple geometric figures
         6. describe the parts of a graph including the quadrants, axes, and ordered pairs
         7. recognize graphs of geometric figures
         8. find perimeter and circumference
         9. find area and volume from formulas
         10. Calculate square roots and the Pythagorean Theorem
         11. define and calculate basic terms of statistics
         12. determine mean, mode, range, and median
      9. solve basic algebraic expressions
         1. distinguish real numbers and subsets
         2. distinguish between equations and expressions
         3. calculate using positive and negative values and the rules of operation
         4. solve problems using the steps for solving equations
         5. evaluate algebraic expressions
         6. convert statements to equations
         7. solve basic equations with positive and negative values
2. Course content
   1. Addition and Subtraction of Whole Numbers
      1. Addition and Subtraction
      2. Decimal Place Value System
      3. Rounding, Estimation, and Order
      4. Borrowing and Carrying
      5. Properties of Addition
      6. Applications Involving Addition and Subtraction
   2. Multiplication and Division of Whole Numbers
      1. Properties of Multiplication
      2. Multiplication and Division by Numbers with more than one digit
      3. Long Division Algorithm
      4. Applications involving multiplication and division
   3. Factors and Multiples
      1. Prime and Composite Numbers
      2. Composite Numbers as Products of Prime Numbers
      3. Finding the Greatest Common Factor
      4. Finding the Least Common Multiple
   4. Fractions
      1. Introduction to Fractions
      2. Proper & Improper Fractions, and Mixed Numbers
      3. Converting Improper Fractions and Mixed Numbers
      4. Equivalent Fractions and Simplifying Fractions
      5. Multiplication and Division of Fractions
      6. Multiplying Fractions and Mixed Numbers
      7. Simplifying and Dividing Fractions
      8. Addition and Subtraction of Fractions
      9. Finding the Least Common Denominator
      10. Adding and Subtracting Fractions with Different Denominators
      11. Addition and Subtraction of Mixed Numbers
      12. Applications Involving Fractions
   5. Decimals
      1. Addition and Subtraction of Decimals
      2. Place Value in Decimal Fractions
      3. Rounding Decimals
      4. Converting Decimals to Fractions
      5. Multiplication and Division of Decimals
      6. Multiplication and Division of Decimals By Whole Numbers
      7. Decimals By Powers of 10
      8. Decimals with Scientific Notation
   6. Ratios, Proportions, and Percents
      1. Language of Ratios and Proportions
      2. Ratio and Proportion Problems
      3. Meaning of Percent
      4. Changing Percent to Fractions and Decimals
      5. Identifying Rate, Base, and Amount
      6. Solving Applications and Word Problems with Ratios, Proportions, and Percent
   7. Measurement, Geometry, Statistics and the usage of formulas
      1. The English System of Measurement
      2. The Metric System of Measurement
      3. Units of these Systems
      4. Correlation of Weight, Volume, and Length
      5. Lines, Angles, and Simple Geometric Figures
      6. Basics of Graphing, Quadrants, and Ordered Pairs
      7. Graphs of Geometric Figures
      8. Finding Perimeter and Circumference
      9. Finding Area and Volume
      10. Square Roots and the Pythagorean Theorem
      11. Basic Terms of Statistics
      12. Determining Mean, Mode, Range, and Median
   8. Introduction to Algebra
      1. Real Numbers and Subsets
      2. Positive and Negative Values and Rules of Operation
      3. Steps for Solving Equations
      4. Evaluating Algebraic Expressions
      5. Converting Statements to Equations
      6. Solving Basic Equations with Positive and Negative Values
3. Textbook: (either one of the following texts)
   

   Course	Title	Ed	Year	ISBN	Author	Publisher	Image
   MS 090 PreAlgebra	PreAlgebra	2	2006	0-321-23736-6	Tom Carson	Addison Wesley

4. Required course materials: Scientific calculator.
5. Reference materials: As per instructor needs.
6. Instructional costs: Standard instructional materials such as markers, erasers, paper.
7. Methods of Instruction: The course will be taught by lecture, class discussion. Quizzes, tests, and a final examination will provide measurement of achievement of course objectives. Grading as per the policy in the current college catalog.
8. Evaluation: None. No credit-by-examination.
9. Attendance policy: As per the current college catalog.
10. Academic honesty policy: As per the current college catalog.

See also:
MS 090 Conceptual Math 1997 outline
MS 090 2005, MS 095, and MS 098 side-by-side comparison.
Developmental math outlines comments
Developmental math text table of contents side-by-side comparison and other text options.

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