Foothill CollegeApproved Course Outlines

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

MATH 230 | PREPARING FOR ALGEBRA: LINEAR EQUATIONS, PROPORTIONS & GEOMETRY | 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-3 | ||||

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

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

Articulation Office Information - | |||||

Transferability: None | Validation: 11/14/11 | ||||

1. Description - | ||

Review of order of operations with rational numbers. Introduction to algebraic concepts including solving first-degree equations and evaluating and simplifying expressions. Development and applications of ratios, proportions, percents, and geometric concepts. | ||

Prerequisite: MATH 235. | ||

Co-requisite: None | ||

Advisory: Not open to students with credit in MATH 200 or 230J. | ||

2. Course Objectives - | ||

The student will be able to: - Perform the four basic operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, decimals, and signed numbers
- Compare real numbers
- Use order of operations to evaluate expressions with whole numbers, fractions, decimals and signed-numbers
- Perform conversions between decimals, fractions and percentages
- Identify and use the properties (commutative, associative, distributive) of real numbers with algebraic expressions
- Evaluate square roots and use the Pythagorean Theorem
- Evaluate expressions using replacement values for the variables.
- Simplify expressions by combining like terms.
- Solve linear equations in one variable, including identities and contradictions.
- Discuss arithmetic of whole numbers, decimals fractions and signed numbers and algebra of expressions and equations using proper vocabulary.
- Use arithmetic and equations to solve problems, including those found in diverse fields.
- Use ratios, rates, and proportions, and percentages to solve problems, including applications found in diverse fields.
- Find perimeter, area and volume of geometric figures.
- Use a scientific calculator.
- Discuss mathematical problems and write solutions in accurate mathematical language and notation.
- Interpret mathematical solutions.
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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) - | ||

- Review of Real numbers and operations without a calculator
- Identify and use of the commutative, associative, and distributive properties
- 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
- Expressions and equations with integer coefficients and values for variables without a calculator
- Identify and distinguish between expression, equations, terms and factors
- Evaluate expressions using replacement values for the variables
- Identify like terms
- Use the distributive property
- Simplify expressions by combining like terms
- Solve equations where the right hand side and left hand side are simplified expressions using the addition, subtraction, multiplication and division property of equations
- Discuss simplification of expressions and solving equations using proper vocabulary
- Solve application problems using equations
- Expressions and equations with real number coefficients and values for variables without a calculator
- Simplify expressions by combining like terms
- Evaluate expressions using replacement values for the variables
- Solve equations with fractional coefficients
- Solve equations with decimal coefficients
- Solve equations that require simplifications
- Identify equations that are identities and contradictions.
- Solve application problems using equations
- Ratios, rates and proportions with calculator
- Distinguish between ratios, rates and proportions
- Write ratios in different forms
- Simplify ratios and rates
- Determine whether two ratios are proportional
- Write unit rates and use them to compare prices
- Solve a proportion
- Solve application problems using proportions and similar triangles
- Percents with a calculator
- Represent percents using shaded regions of geometric figures
- Convert percents to decimals
- Convert decimals to percents
- Convert fractions to percents
- Convert percents to fractions
- Find a given percent of a number and related problems
- Find a percent increase or decrease
- Solve application problems using percentages
- Geometric figures / area and perimeter
- Identify basic geometric figures
- Find the perimeter of a polygon
- Find the area of a polygon
- Find the circumference and area of a circle
- Use the Pythagorean theorem to find the missing side length of a right triangle
- Find the surface area and volume of rectangular solid
- Solve application problems that involve geometric concepts
- Using a scientific calculator and final preparations for Algebra
- Use the calculator to evaluate fraction operations
- Use the calculator to evaluate exponents
- Use the calculator to evaluate square roots
- Use a calculator to evaluate expressions containing real numbers
- Solve problems requiring an integration of skills learned throughout Basic Mathematics.
- Solve application problems requiring more difficult calculations
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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, Prealgebra, Media Enhanced, 3rd ed. USA, McGraw-Hill Higher Education, 2010. Baratto, Bergman, Hutchison, Basic Mathematical Skills with Geometry, USA, McGraw-Hill Higher Education, 2010. | ||

8. Disciplines - | ||

Mathematics | ||

9. Method of Instruction - | ||

Lecture, Discussion, Cooperative learning exercises. | ||

10. Lab Content - | ||

- Assessments and practice using online software covering order of operations with rational numbers, introduction to algebraic concepts including solving first-degree equations and evaluating and simplifying expressions, development and applications of ratios, proportions, percents, and geometric concepts.
- Written review worksheets covering order of operations with rational numbers, introduction to algebraic concepts including solving first-degree equations and evaluating and simplifying expressions, development and applications of ratios, proportions, percents, and geometric concepts.
- Develop study skills strategies specific to mathematics
- Editing and revising written work 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 40 - 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.
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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: | 2015-03-09 13:47:32 |

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