Foothill CollegeApproved Course Outlines

Physical Sciences, Mathematics & Engineering Division
MATH 235PREPARING FOR ALGEBRA: REAL NUMBERSFall 2012
4 hours lecture, 6 hours laboratory.6 Units

Total Quarter Learning Hours: 120 (Total of All Lecture, Lecture/Lab, and Lab hours X 12)
 
 Lecture Hours: 4 Lab Hours: 6 Lecture/Lab:
 Note: If Lab hours are specified, see item 10. Lab Content below.

Repeatability -
Statement: Not Repeatable.

Status -
 Course Status: ActiveGrading: Pass No Pass
 Degree Status: Non-ApplicableCredit Status: Basic Skills
 Degree or Certificate Requirement: Stand Alone Course
 GE Status: Non-GE

Articulation Office Information -
 Transferability: NoneValidation: 11/14/11

1. Description -
Addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Order of operations with real numbers and applications of such operations.
Prerequisite: None
Co-requisite: None
Advisory: None

2. Course Objectives -
The student will be able to:
  1. identify whole number and decimal place values
  2. write whole numbers and decimals in words
  3. write whole numbers and decimals using expanded notation
  4. round whole numbers, fractions, and decimals
  5. represent whole numbers, fractions, decimals, and signed-numbers on the number-line
  6. perform the four basic operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, decimals, and signed numbers
  7. compare real numbers
  8. estimate sums, differences, products and quotients of whole numbers, decimal and fractions
  9. verify sums, differences, products and quotients of whole numbers
  10. use order of operations to evaluate expressions with whole numbers, fractions, decimals and signed-numbers
  11. represent fractions and mixed numbers using shaded regions of figures
  12. find the greatest common factor and least common multiple of a list of whole numbers
  13. recognize and write equivalent fractions, including writing fractions in lowest terms
  14. perform conversions between decimals and fractions
  15. identify sets of numbers contained within the real numbers
  16. identify and use the properties (commutative, associative, distributive) of real numbers
  17. identify opposite and absolute value of a real number
  18. evaluate rational square roots
  19. discuss arithmetic of whole numbers, decimals fractions and signed numbers and algebra of expressions and equations using proper vocabulary
  20. use arithmetic operations to solve problems, including those found in diverse fields
3. Special Facilities and/or Equipment -
  1. Software capable of generating multimedia presentations of course content, algorithmically generated practice problems, and tutorial assistance.
  2. Internet Access.

4. Course Content (Body of knowledge) -
  1. whole numbers and operations without a calculator
    1. arithmetic facts (sums and products of single digit numbers)
    2. identify whole number place values
    3. write whole numbers in words
    4. write whole numbers using expanded notation
    5. represent whole numbers on the number-line
    6. compare the sizes of whole numbers
    7. add whole numbers
    8. subtract whole numbers
    9. multiply whole numbers
    10. divide whole numbers
    11. estimate sums, differences, products and quotients of whole numbers
    12. verify sums, differences, products and quotients of whole numbers
    13. use order of operations to evaluate expressions with whole numbers
    14. round whole numbers
    15. discuss arithmetic of whole numbers using proper vocabulary
    16. solve application problems requiring whole number arithmetic
  2. fractions and mixed numbers and operations without a calculator
    1. represent fractions and mixed numbers using shaded regions of geometric figures
    2. find the greatest common factor of a list of numbers
    3. reduce fractions to lowest terms
    4. recognize equivalent fractions
    5. multiply fractions
    6. divide fractions
    7. write equivalent fractions with a given denominator
    8. represent fractions and mixed numbers on a number-line
    9. compare the sizes of fractions and mixed numbers
    10. find the least common multiple of a list of numbers
    11. add and subtract fractions with like denominator
    12. add and subtract fractions with unlike denominators
    13. multiply and divide mixed number
    14. add and subtract mixed numbers
    15. use order of operations to evaluate expressions with fractions and mixed numbers
    16. discuss arithmetic of fractions using proper vocabulary
    17. estimate sums, differences, products and quotients of mixed numbers
    18. solve application problems requiring fractional arithmetic
  3. decimals and operations without a calculator
    1. identify decimal place values
    2. compare the sizes of decimal numbers
    3. write decimal numbers using words
    4. write decimal numbers using expanded notation
    5. write decimal numbers as fractions
    6. add decimal numbers
    7. subtract decimal numbers
    8. multiply decimal numbers
    9. divide decimal numbers
    10. use order of operations to evaluate expressions with decimal numbers
    11. write fractions as decimals
    12. compare the sizes of decimal numbers and fractions
    13. estimate sums, differences, products and quotients of decimal numbers.
    14. round decimal numbers
    15. discuss arithmetic of decimal numbers using proper vocabulary
    16. solve application problems requiring decimal number arithmetic
  4. Real numbers and operations without a calculator
    1. identify sets of numbers contained within the real numbers
    2. identify opposite and absolute value of real numbers
    3. represent signed numbers on a number-line
    4. compare the sizes of real numbers
    5. add real numbers
    6. subtract real numbers
    7. multiply real numbers
    8. divide real numbers
    9. identify and use of the commutative, associative, and distributive properties of addition and multiplication
    10. use square root notation and evaluate square roots
    11. use order of operations to evaluate expressions with real numbers
    12. discuss arithmetic of real numbers using proper vocabulary
    13. solve application problems requiring rational number arithmetic
5. Repeatability - Moved to header area.
 
6. Methods of Evaluation -
  1. Homework
  2. Software Assessments
  3. Hour Exams
  4. Final Exam
  5. Class participation
7. Representative Text(s) -
Baratto, Bergman, Hutchison, Basic Mathematical Skills with Geometry USA, McGraw-Hill Higher Education, 2010.
Baratto, Bergman, Hutchison, Prealgebra, Media Enhanced, 3rd ed. USA, McGraw-Hill Higher Education, 2010.

8. Disciplines -
Mathematics
 
9. Method of Instruction -
  1. Short lectures emphasizing key concepts.
  2. Solving practice problems individually or in groups using paper and pencil.
 
10. Lab Content -
  1. Assessments and practice using online software covering addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Order of operations with real numbers and applications of such operations.
  2. Written review worksheets covering addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Order of operations with real numbers and applications of such operations.
  3. Develop study skills strategies specific to mathematics
  4. Editing and revising written work covering addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Order of operations with real numbers and applications of such operations to improve format.
 
11. Honors Description - No longer used. Integrated into main description section.
 
12. Types and/or Examples of Required Reading, Writing and Outside of Class Assignments -
  1. Homework Problems: Homework problems covering subject matter from text and related material ranging from 50 - 100 problems per week.
Students will need to employ critical thinking in order to complete assignments.
  • Lecture: Four hours per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.
  • Laboratory: 6 hours lab exercises. Exercises include individual or group participation, computer software applications, and covers assigned reading and lecture topics.
  • Worksheets: Problems and activities covering the subject matter.
  • Such problems and activities will require students to think critically. Such worksheets may be completed both inside and/or outside of class.
    13. Need/Justification -
    There are many students who need remedial training in mathematics before they can attempt college level work.


    Course status: Active
    Last updated: 2013-09-19 15:45:40


    Foothill CollegeApproved Course Outlines