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PreAlgebra Syllabus
Official Course Description:
Students enhance their
understanding and manipulative skills in
the arithmetic of rational numbers . Topics include whole
numbers, powers and square roots , fractions, decimal fractions ,
percents, ratios, proportions, signed numbers , order of operations,
prime factorization, basic formulas in geometry, measurement and
tables and graphs.
Required Textbook and Supplies:
Basic College Mathematics
Eighth Edition by Aufmann/Barker/Lockwood
(Computer with internet access is also required)
Course Competencies: Upon completion of this course, the
student can:
1. Solve problems involving addition, subtraction, multiplication, division of
integers, fractions, and decimals.
2. Calculate whole number powers .
3. Calculate square roots of rational perfect squares .
4. Determine prime factorization of whole numbers.
5. Perform conversions among decimals, fractions and percents .
6. Solve problems involving ratios and proportions.
7. Solve problems involving percents.
8. Perform conversions interchanging English and Metric systems.
9. Demonstrate rounding and estimation techniques.
10. State and use the order of operations.
11. Calculate area, volume and perimeter of basic plane figures and solids.
12. Apply basic formulas.
13. Read and interpret tables and graphs.
14. Identify and apply the properties of real numbers.
15. Solve applied problems using these competencies with real world
applications.
KCTCS GENERAL EDUCATION COMPETENCY STATEMENTS AND
GENERAL
EDUCATION REQUIREMENTS FOR ALL KCTCS CREDENTIALS
Competencies will be met at the level appropriate to the
credential.
A general education core curriculum will enable KCTCS colleges to graduate men
and women who are
intellectually flexible, articulate, reflective, creative, and prepared for
continuous learning. For all students,
this implies some understanding of the value of higher education and the world
of work and career fields
related to their own abilities, interests, and needs. The general education core
competencies will enable
students to develop their own values, pursue goals, and contribute to the
political, moral, social, and cultural
enrichment of society.
General Education Competencies:
I. Communicate Effectively
1. Read and listen with comprehension.
2. Speak and write clearly using standard English.
3. Interact cooperatively with others using both verbal and nonverbal means.
4. Demonstrate information processing through basic computer skills.
II. Think Critically
1. Make connections in learning across the disciplines and draw logical
conclusions.
2. Demonstrate problem solving through interpreting, analyzing, summarizing ,
and/or
integrating a variety of materials.
3. Use mathematics to organize, analyze, and synthesize data to solve a problem.
III. Learn Independently
1. Use appropriate search strategies and resources to find, evaluate, and use
information.
2. Make choices based upon awareness of ethics and differing perspectives/ideas.
3. Apply learning in academic, personal, and public situations.
4. Think creatively to develop new ideas, processes, or products.
IV. Examine Relationships in Diverse and Complex
Environments
1. Recognize the relationship of the individual to human heritage and culture.
2. Demonstrate an awareness of the relationship of the individual to the
biological
and physical environment.
3. Develop an awareness of self as an individual member of a multicultural
global
community.
Course Outline: The following outline is expected to be
covered in the required
textbook:
Module I: Whole Numbers
1.1 Introduction to Whole Numbers
1.2 Addition of Whole Numbers
1.3 Subtraction of Whole Numbers
1.4 Multiplication of Whole Numbers
1.5 Division of Whole Numbers
1.6 Exponential Notation and the Order of Operations Agreement
1.7 Prime Numbers and Factoring
Module II: Fractions
2.1 The Least Common Multiple and Greatest Common Factor
2.2 Introduction to Fractions
2.3 Writing Equivalent Fractions
2.4 Addition of Fractions and Mixed Numbers
2.5 Subtraction of Fractions and Mixed Numbers
2.6 Multiplication of Fractions and Mixed Numbers
2.7 Division of Fractions and Mixed Numbers
2.8 Order, Exponents, and the Order of Operation Agreement
Module III: Decimal fractions and Percents
3.1 Introduction to Decimals
3.2 Addition to Decimals
3.3 Subtraction of Decimals
3.4 Multiplication of Decimals
3.5 Division of Decimals
3.6 Comparing and Converting Fractions and Decimals
5.1 Introduction to Percents
5.5 Percent Problems: Proportion Method
Module IV: Ratios and Proportions
4.1 Ratio
4.2 Rates
4.3 Proportions
Module V: Signed Number Arithmetic
10.1 Introduction to Integers
10.2 Addition and Subtraction of Integers
10.3 Multiplication and Division of Integers
10.4 Operations with Rational Numbers
10.5 Scientific Notation and the Order of Operations Agreement
Module VI: Basic Formulas
12.2 Plane Geometric Figures
12.3 Area
12.4 Volume
12.5 The Pythagorean Theorem
Module VII: English and Metric Measurement
8.1 Length (English)
8.2 Weight (English)
8.3 Capacity (English)
9.1 Length (Metric)
9.2 Mass (Metric)
9.3 Capacity (Metric)
9.5 Conversion Between the U.S. Customary and the Metric Systems of
Measurement
Module VIII: Tables and Graphs
7.1 Pictographs and Circle Graphs
7.2 Bar Graphs and BrokenLine Graphs
7.3 Histograms and Frequency Polygons
7.4 Statistical Measures
Supplemental materials may be added as needed.
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