DATE of MODIFICATION (Requires Action

DATE OF MODIFICATION (requires action by Curriculum Committee): 2-19-13

CUYAMACA COLLEGE COURSE OUTLINE OF RECORD

MATHEMATICS 088  PRE-ALGEBRA

4 hours lecture, 1 hour laboratory, 4 units 80-87.5 contact hours

Catalog Description Operations with signed numbers are emphasized. The derivation and use of selected measurement concepts and the development of pre-algebra ideas such as variable and equations are included. Measurement, area and volume formulas for fundamental shapes are stressed. These topics are explored in the context of problem solving and appropriate calculator use. Pass/No Pass only. Non-degree applicable.

Prerequisite None

Course Content 1) Operations with signed numbers 2) Whole number exponents and roots 3) Definitions of shapes, perimeter, area, volume and units of measurements 4) Derivation, use and conversion of measurement formulas 5) Metric system 6) Identify and manipulate variables using arithmetic operations 7) Solving equations in one variable 8) Appropriate use of calculators to factor integers and simplify expressions with combined operations, power and roots

Course Objectives Students will be able to: 1) Formulate tools for success in future mathematics courses. 2) Recognize and correct computational errors. 3) Order signed numbers. 4) Perform the following fundamental arithmetic operations using Integers: a. Addition b. Subtraction c. Multiplication d. Division e. Exponents 5) Perform fundamental arithmetic operations using signed decimals. 6) Apply the order of operations on problems involving: a. Exponents, b. roots of whole numbers, and/or c. absolute value. 7) Perform calculations with signed fractions and signed mixed numbers that involve: a. fundamental arithmetic operations, b. reducing fractions, c. simplifying complex fractions, d. simplifying powers of fractions, e. simplifying roots of fractions, and f. converting between improper fractions and mixed numbers. 8) Convert between: a. fractions and decimals, b. fractions and percents, and c. decimals and percents. 9) Write linear equations to solve word problems involving a. percents, b. geometric measurements such as linear measurements, perimeter, area or volume, and c. proportions. 10) Solve linear word problems completely. 11) Simplify algebraic expressions. 12) Solve single variable linear equations involving each of the following. MATH 088 Page 2 of 3

a. Integers b. Fractions c. Decimals d. Distributive property 13) Apply coursework management skills to succeed. 14) Make consistent and regular preparations to maximize learning inside and outside the classroom.

Method of Evaluation A grading system will be established by the instructor and implemented uniformly. Grades will be based on demonstrated proficiency in subject matter determined by multiple measurements for evaluation, one of which must be essay exams, skills demonstration or, where appropriate, the symbol system. 1) Independent exploration activities which measure the student’s ability to analyze the connections between the numeric and verbal representations of various types of problems. 2) Quizzes and exams (including a comprehensive in-class final exam) which measure the student’s ability to work independently to perform arithmetic operations including powers and roots on real numbers; convert between fractions, decimals and percents; solve word problems; simplify algebraic expressions; solve linear equations. 3) Homework assignments in which students apply arithmetic principles and operations discussed in class to a series of practice problems to help them formulate questions and receive feedback from the instructor, tutors or classmates. 4) Computer laboratory assignments in which students apply arithmetic principles and operations discussed in class to a series of skill and drill problems to help them improve their symbolic manipulation abilities.

Minimum Instructional Facilities 1) Smart classroom with whiteboards covering three walls, graphing utility and viewscreen, overhead projector 2) Smart computer lab with whiteboards covering three walls, overhead projector

Special Materials Required of Student Scientific calculator

Method of Instruction 1) Lecture and discussion 2) Teamwork 3) Instructor-guided discovery 4) Computer-facilitated instruction

Out-of-Class Assignments 1) Problem sets 2) Exploratory activities and/or projects 3) Reading and/or writing assignments

Texts and References 1) Required (representative example): Consortium for Foundation Mathematics, Mathematics in Action. 1st edition. Pearson, 2013. 2) Supplemental: None

Exit Skills Students having successfully completed this course exit with the following skills, competencies and/or knowledge: 1) Using the basic operations over the integers, decimals, and rational numbers. 2) Evaluate exponents and square roots of whole numbers. 3) Solving basic calculations involving geometric measurement and formulas of two-dimensional and three-dimensional objects in English and metric units. 4) Relationships between decimals, fractions and percents and their application in problems involving proportions. 5) The concepts of factors, multiples and the Distributive Property. 6) Solving linear equations. 7) Solving application problems involving linear equations.

Student Learning Outcomes Upon successful completion of this course, students will be able to: 1) Recognize and correct computational errors. 2) Order signed numbers. 3) Perform fundamental arithmetic operations using Integers and signed decimals. 4) Apply the order of operations. 5) Perform calculations with signed fractions and signed mixed numbers. 6) Convert between and among fractions, decimals, and percents. 7) Set up or solve linear application problems. 8) Simplify algebraic expressions. 9) Solve single variable linear equations. MATH 088 Page 3 of 3