Foothill CollegeApproved Course Outlines

Physical Sciences, Mathematics & Engineering Division | |||||

MATH 235 | PREPARING FOR ALGEBRA: REAL NUMBERS | Fall 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: Active | Grading: Pass No Pass | ||||

Degree Status: Non-Applicable | Credit Status: Basic Skills | ||||

Degree or Certificate Requirement: Stand Alone Course | |||||

GE Status: Non-GE | |||||

Articulation Office Information - | |||||

Transferability: None | Validation: 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: - identify whole number and decimal place values
- write whole numbers and decimals in words
- write whole numbers and decimals using expanded notation
- round whole numbers, fractions, and decimals
- represent whole numbers, fractions, decimals, and signed-numbers on the number-line
- perform the four basic operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, decimals, and signed numbers
- compare real numbers
- estimate sums, differences, products and quotients of whole numbers, decimal and fractions
- verify sums, differences, products and quotients of whole numbers
- use order of operations to evaluate expressions with whole numbers, fractions, decimals and signed-numbers
- represent fractions and mixed numbers using shaded regions of figures
- find the greatest common factor and least common multiple of a list of whole numbers
- recognize and write equivalent fractions, including writing fractions in lowest terms
- perform conversions between decimals and fractions
- identify sets of numbers contained within the real numbers
- identify and use the properties (commutative, associative, distributive) of real numbers
- identify opposite and absolute value of a real number
- evaluate rational square roots
- discuss arithmetic of whole numbers, decimals fractions and signed numbers and algebra of expressions and equations using proper vocabulary
- use arithmetic operations to solve problems, including those found in diverse fields
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3. Special Facilities and/or Equipment - | ||

- Software capable of generating multimedia presentations of course content, algorithmically generated practice problems, and tutorial assistance.
- Internet Access.
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4. Course Content (Body of knowledge) - | ||

- whole numbers and operations without a calculator
- arithmetic facts (sums and products of single digit numbers)
- identify whole number place values
- write whole numbers in words
- write whole numbers using expanded notation
- represent whole numbers on the number-line
- compare the sizes of whole numbers
- add whole numbers
- subtract whole numbers
- multiply whole numbers
- divide whole numbers
- estimate sums, differences, products and quotients of whole numbers
- verify sums, differences, products and quotients of whole numbers
- use order of operations to evaluate expressions with whole numbers
- round whole numbers
- discuss arithmetic of whole numbers using proper vocabulary
- solve application problems requiring whole number arithmetic
- fractions and mixed numbers and operations without a calculator
- represent fractions and mixed numbers using shaded regions of geometric figures
- find the greatest common factor of a list of numbers
- reduce fractions to lowest terms
- recognize equivalent fractions
- multiply fractions
- divide fractions
- write equivalent fractions with a given denominator
- represent fractions and mixed numbers on a number-line
- compare the sizes of fractions and mixed numbers
- find the least common multiple of a list of numbers
- add and subtract fractions with like denominator
- add and subtract fractions with unlike denominators
- multiply and divide mixed number
- add and subtract mixed numbers
- use order of operations to evaluate expressions with fractions and mixed numbers
- discuss arithmetic of fractions using proper vocabulary
- estimate sums, differences, products and quotients of mixed numbers
- solve application problems requiring fractional arithmetic
- decimals and operations without a calculator
- identify decimal place values
- compare the sizes of decimal numbers
- write decimal numbers using words
- write decimal numbers using expanded notation
- write decimal numbers as fractions
- add decimal numbers
- subtract decimal numbers
- multiply decimal numbers
- divide decimal numbers
- use order of operations to evaluate expressions with decimal numbers
- write fractions as decimals
- compare the sizes of decimal numbers and fractions
- estimate sums, differences, products and quotients of decimal numbers.
- round decimal numbers
- discuss arithmetic of decimal numbers using proper vocabulary
- solve application problems requiring decimal number arithmetic
- Real numbers and operations without a calculator
- identify sets of numbers contained within the real numbers
- identify opposite and absolute value of real numbers
- represent signed numbers on a number-line
- compare the sizes of real numbers
- add real numbers
- subtract real numbers
- multiply real numbers
- divide real numbers
- identify and use of the commutative, associative, and distributive properties of addition and multiplication
- use square root notation and evaluate square roots
- use order of operations to evaluate expressions with real numbers
- discuss arithmetic of real numbers using proper vocabulary
- solve application problems requiring rational number arithmetic
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5. Repeatability - Moved to header area. | ||

6. Methods of Evaluation - | ||

- Homework
- Software Assessments
- Hour Exams
- Final Exam
- Class participation
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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 - | ||

- Short lectures emphasizing key concepts.
- Solving practice problems individually or in groups using paper and pencil.
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10. Lab Content - | ||

- 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.
- 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.
- Develop study skills strategies specific to mathematics
- 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.
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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 - | ||

- Homework Problems: Homework problems covering subject matter from text and related material ranging from 50 - 100 problems per week.
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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 |

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