SANTA BARBARA CITY COLLEGE

ASSOCIATE DEGREE CREDIT COURSE OUTLINE

 

 

Department:  Mathematics

Subject Area and Course Number:  Math 1

Course Title:   Basic Mathematics

Discipline:       Mathematics

Units:  3

Repeatability:  None

Catalog Course Description:  Basic math course, including place value; reading and writing numbers; arithmetic operations on whole numbers; operations on decimals; ratio and proportion; percentages; U.S. and metric systems of measurement; numerical geometry; graph reading; operations on signed numbers. Application of arithmetic to everyday life (word problems) is emphasized throughout the course.

Description for Schedule of Classes:  Covers place value, arithmetic operations on whole numbers, fractions, decimals, ratio, proportion, percentages, U.S. and metric systems of measurement, numerical geometry, basic statistics, graph reading and signed numbers.

Lecture Hours per Week:  3

Laboratory Hours per Week:  None

Plus Hours     1

Prerequisites:  None

Co-requisites:       None

Skills Advisories:  None

Course Advisories:         None

Limitation on Enrollment:    None

Course Objectives: 

1.         Demonstrate skills in addition, subtraction, multiplication, and division of whole numbers.

2.         Demonstrate skills in addition, subtraction, multiplication, and division of fractions and decimals.

3.         Apply the above basic arithmetic operations to solve numerical word problems.

4.         Solve basic ratio and proportion problems.

5.         Solve basic percent problems and word problems involving percents.

6.         Convert between different units of measurement using the English and metric systems.

7.         Solve simple geometric problems involving perimeters, areas, and volumes.

8           Interpret and create simple graphs (circle, bar, line) and statistics (mean, median, mode).

9.          Demonstrate skills in addition, subtraction, multiplication and division of signed numbers.

 

Course Content and Scope:

1.          Whole Numbers

              a.               Reading and writing whole numbers

              b.               Addition of whole numbers

              c.               Subtraction of whole numbers

              d.               Multiplication of whole numbers

              e.               Division of whole numbers including long division

              f.                Rounding whole number

              g.               Roots and order of operations

              h.               Solving word problems involving whole numbers

 

Course Content and Scope (Cont)

2.          Multiplying and Dividing Fractions

              a.               Basic concepts of fractions

              b.               Mixed numbers

              c.               Factors

              d.               Writing a fraction in lowest terms

              e.               Multiplication of fractions

              f.                Applications of Multiplication

              g.               Dividing fractions

              h.               Multiplication and Division of Mixed Numbers

3.          Adding and Subtracting Fractions

              a.               Adding and subtracting like fractions

              b.               Least common multiples

              c.               Adding and subtracting unlike fractions

              d.               Adding and subtracting mixed numbers

              e.               Order relations and the order of operations

4.          Decimals

              a.               Reading and writing decimals

              b.               Rounding decimals

              c.               Addition of decimals

              d.               Subtraction of decimals

              e.               Multiplication of decimals

              f.                Division of decimals

              g.               Writing fractions as decimals

5.          Ratio and Proportion

              a.               Ratios

              b.               Rates

              c.               Proportions

              d.               Solving proportions

              e.               Applications of proportions

6.          Percent

              a.               Basic concepts of percent

              b.               Percents and fractions

              c.               The percent proportion

              d.               Using proportions to solve percent problems

              e.               The percent equation

              f.                Applications of percent

              g.               Simple interest

7.          Measurement

              a.               The English system

              b.               Denominate numbers

              c.               The metric system

                                  1)    length

                                  2)    volume

                                  3)    weight

              d.               Metric to English conversions

8.          Geometry

              a.               Rectangles and squares

              b.               Parallelograms and trapezoids

              c.               Triangles

              d.               Circles

              e.               Volume

              f.                Pythagorean formula

              g.               Similar triangles

Course Content and Scope (Cont)

9.          Statistics

              a.               Circle graphs

              b.               Bar graphs

              c.               Line graphs

              d.               Histograms

              e.               Frequency polygons

              f.                Mean, median, and mode

10.       The Real Number System

a.               Signed Numbers and Order

b.               Addition of Real Numbers

c.               Subtraction of Real Numbers

d.               Multiplication of Real Numbers

e.               Division of Real Numbers

 

Methods of Instruction:  Lecture is the primary activity to be used, along with student problem-solving. Students are expected to work outside of class on assigned exercises as well as on supplementary reading from the text. Students also complete basic mathematics assessment and individualized learning activities prescribed by diagnostic/tutorial software (ALEKS) both within the math computer lab and outside of class.

 

Required Assignments

1.          Appropriate Readings:  Students are required to read assigned chapters in texts.

2.          Writing Assignments:  Students must work assigned mathematical problems requiring the manipulation of abstract symbols.

3.          Appropriate Outside Assignments:  Students will be expected to spend a sufficient amount of time outside of class to practice techniques taught during class time, read assigned materials, and complete frequent assignments.

4.          Appropriate Assignments that Demonstrate Critical Thinking:  By working the various assigned problems, students must demonstrate computational skills which involve analyzing information, recognizing concepts in new contexts, and drawing analogies.  Critical thinking will also be emphasized through numerous treatments of word problems and applications throughout the course.

5.          Appropriate Math Computer Lab Assignments:  Students must complete frequent assessments with a diagnostic/tutorial software and demonstrate mastery of basic mathematics objectives individually prescribed by the software.

 

Methods of Evaluation   A student's grade will be based on multiple measures of performance in the solving of arithmetic problems. Such measures will include at least three exams and a comprehensive final examination requiring demonstrations of problem-solving skills. In addition, instructors may make use of quizzes, written homework assignments, or other appropriate means to judge a student's dexterity with arithmetic skills. 

 

Students are provided with a course syllabus in accordance with district policy, which includes the specific procedures by which they will be evaluated.  These procedures are consistent with the objectives and course content stated above.

 

Appropriate Texts and Supplies

 

Lial, Margaret L., Salzman, Stanley A. and Westwood, Diana L., Basic College Mathematics, 6th ed., Addison Wesley Longman, 2002.

Streeter, James; Hutchison, Donald; Bergaman, Barry; and Hoelzle, Louis. Basic Mathematical Skills with Geometry, 6th ed., McGraw Hill, 2004.

ALEKS Basic Mathematics Diagnostic Tutorial Software, ALEKS Corporation, 2002.

 

 

CO/mej

Approved February 14, 2005

(4/26/05 gjb)