Course Syllabus - Fort Scott Community College
Course Syllabus - Fort Scott Community College
Course Syllabus - Fort Scott Community College
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B. METHOD OF INSTRUCTION:<br />
Lectures, discussions, problem solving demonstrations, computer simulations, homework assignments and tests.<br />
C. COURSE COMPETENCIES/OBJECTIVES:<br />
The following standard outcomes are expected:<br />
1. To help the student develop skills which will enable him or her to solve problems and communicate<br />
effectively using the language and techniques of algebra.<br />
2. To acquaint the student with some of the general concepts and principles of mathematics that will<br />
serve as a basis for further studies in mathematics.<br />
3. To help the student build confidence in his or her ability to solve problems in mathematics.<br />
4. To encourage the student to develop and use a sound mathematical vocabulary.<br />
D. COURSE TOPICS/UNITS:<br />
Formulae, Applications and Solving Linear Inequalities with Absolute Values (Unit 1: 1.3a, 1.5a, 1.6, 1.7a,<br />
1.7b):<br />
1. Absolute values<br />
2. Evaluating formulae<br />
3. Applications of algebra<br />
4. Solving linear inequalities<br />
5. Solving absolute value inequalities<br />
Linear Equations and Functions (Unit 2: 2.2, 2.3a, 2.3b, 2.4, 2.5):<br />
6. Graphing linear equations in slope-intercept form<br />
7. Finding the equation of a line<br />
8. Graphing linear equations in point-slope form<br />
9. Introduction to functions and function notation<br />
10. Graphing linear inequalities<br />
Systems of linear equations (Unit 3: 3.1b, 3.1c, 3.2):<br />
11. Solving systems of linear equations by substitution<br />
12. Solving systems of linear equations by addition<br />
13. Applications of systems of linear equations<br />
Exponents and polynomials (Unit 4: 4.5b, 4.6b, 4.7a, 4.7b, 4.8):<br />
14. Factoring by grouping<br />
15. Factoring trinomials by the ac-method<br />
16. Special factorizations – squares<br />
17. Special factorizations – cubes<br />
18. Solving quadratic equations by factoring<br />
Rational expressions and rational equations (Unit 5: 5.1b, 5.2, 5.3, 5.4, 5.6)<br />
19. Multiplication and division with rational expressions<br />
20. Addition and subtraction with rational expressions<br />
21. Complex fractions<br />
22. Solving equations with rational expressions<br />
23. Applications: variation<br />
Roots, radicals and complex numbers (Unit 6: 6.1b, 6.2, 6.3a, 6.3b, 6.3c, 6.4, 6.6, 6.7):<br />
24. Simplifying radicals<br />
25. Rational exponents<br />
26. Addition and subtraction with radicals<br />
27. Multiplication with radicals<br />
28. Rationalizing denominators<br />
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