# ERIE COMMUNITY COLLEGE COURSE OUTLINE

 A. COURSE NUMBER AND TITLE : MT001 – BASIC MATHEMATICS B. CURRICULUM: Mathematics/Computer Science Unit Offering C. CATALOG DESCRIPTION: (C,N,S) (5,0) NON-CREDIT Non-credit. A developmental course designed to improve the confidence, study habits, and basic skills necessary for subsequent mathematics or related coursework. Topics will include: whole numbers (exponents, primes, factors); rational numbers (ratios, proportions); decimals (percents, square roots ); measurements (US and metric), simple geometry and formulas, integers; operations with simple algebraic expressions; basic calculator skills; equations and word problems related to each topic. This course does not apply toward the associate degree. D. DURATION OF INSTRUCTIONAL PERIOD: Two hundred fifty (250) minutes per week for fifteen (15) weeks. E. ACADEMIC CREDIT HOURS: Five (5) (NOT FOR DEGREE CREDIT) F. SUGGESTED TEXT/COURSE MATERIALS: See Book Specific Outline - Scientific calculator required. G. COURSE OUTCOMES: Upon completion of this course, the student will be able to: 1. Perform basic computations with whole numbers, fractions, decimals, percents, and integers.  2. Apply the rules for divisibility by 2, 3, and 5 when writing the prime factors of whole numbers.  3. Convert fractions , decimals, and percents from one form to another.  4. Convert between metric and U.S. systems of measurement .  5. Apply the rules for rounding-off when estimating appropriate answers.  6. Apply the order of operations to evaluate arithmetic expressions.  7. Represent a comparison of data in ratio form and solve proportions.  8. Evaluate perimeter, area, and volume formulas for basic geometric figures.  9. Perform arithmetic of integers .  10. Solve simple linear equations involving one or two operations.  11. Demonstrate a "sense of numbers" by determining if a mathematical solution is "reasonable."  12. Present organized written work and show a check to avoid careless mistakes.  13. Analyze and solve everyday problems that involve unit pricing, rate of discount, and sales tax.  14. Perform mental arithmetic and use a calculator effectively, when appropriate.  15. Read critically and think logically when solving applications that involve whole numbers, fractions, decimals, and percents.  16. Technology Objectives:   a. Use the arithmetic operations on the scientific calculator to solve applied problems (+, -, x, รท ).   b. Demonstrate an understanding of the Functions of the keys:   c. Demonstrate understanding of order of operations on the scientific calculator. H. PROGRAM COMPETENCIES: SEE J. - ECC GRADUATE LEARNING OUTCOMES I. SUNY General Education Ten Knowledge Areas: Not Applicable J. ECC Graduate Learning Outcomes (GLO): Apply appropriate mathematical procedures and quantitative methods Related Course Outcomes: 1-16 K. ASSESSMENT OF STUDENT LEARNING: It is recommended that at least 5 hourly exams be given during the semester. Instructors are encouraged to use additional methods of evaluation including: weekly quizzes, graded assignments, and take-home tests. It is helpful to include review questions in exams throughout the course. L. LIBRARY RESOURCES: Library project is optional for this course.
 M. TOPICAL OUTLINE: INSTRUCTIONAL PERIODS: I. Whole Numbers  A. Fundamental operations (addition, subtraction, multiplication, division) with whole numbers  B. Rounding and estimating whole numbers  C. Divisibility rules for 2, 3, and 5  D. Primes and prime factorization  E. Order of operations and whole number exponents  F. Applications 1 week II. Fractions  A. Reducing fractions to lowest terms  B. Multiplying fractions  C. Dividing fractions  D. Mixed numbers  E. Multiplying and dividing mixed numbers  F. Adding and subtracting like fractions  G. Lowest common denominator  H. Adding and subtracting unlike fractions  I. Adding and subtracting mixed numbers  J. Order of operations with fractions  K. Applications 2 weeks III. Decimals  A. Decimal notation  B. Converting between fractions and decimals  C. Rounding and estimating decimals  D. Adding and subtracting decimals  E. Multiplying decimals  F. Dividing decimals  G. Order of operations with decimals  H. Applications 1 week IV. Ratio and Proportions  A. Ratios  B. Writing proportions  C. Solving proportions  D. Applications 1 week V. Percent  A. Converting between percents, decimals and fractions  B. Percent problems  C. Applications 2 weeks VI. Measurement and Geometry  A. The U. S. measurement system  B. The metric measurement system  C. Converting between U.S. and metric measurements  D. Properties of squares, rectangles, parallelograms, triangles, and trapezoids  E. Properties of circles, spheres, and cylinders  F. Perimeter, area, and volume formulas  G. Applications 2 weeks VII. Introduction to Signed Numbers  A. Integers and the number line  B. Absolute value and additive inverse  C. Adding and subtracting integers and rationals  D. Multiplying and dividing integers and rationals  E. Order of operations with integers and rationals  F. Integer exponents and scientific notation (optional)  G. Applications 2 weeks VIII. Solving Linear Equations  A. The addition-subtraction rule  B. The multiplication-division rule  C. Using a combination of rules  D. Using algebra to solve Applications 2 weeks IX. Evaluation 2 weeks
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