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| COURSE NUMBER: | ASEM031 | |
| COURSE TITLE: | Algebra IB | |
| DIVISION: | Adult Education | |
| SEMESTER CREDIT HOURS: | 6 |
COURSE DESCRIPTION:
A secondary education competency based course in algebra skills. Instruction covers ratios, fractions and percents, two variable and linear equations, slopes, functions, graphs, linear and quadratic equations, inequalities and absolute values, rational and irrational numbers, and quadratic equations. A continuation of Algebra IA.
COURSE OBJECTIVES / GOALS:
A. Demonstrate the ability to work with ratio and proportion, fractional equations, percent problems, mixture and word problems, and problems involving exponents.
B. Demonstrate the ability to solve equations with two variables, solve systems of linear equations, and make applications of linear equations.
C. Demonstrate the ability to work with slopes, functions graphing, linear and quadratic equations, and direct and inverse variations.
D. Demonstrate the ability to work with inequalities with one and two variables and absolute values.
E. Demonstrate the ability to work with rational and irrational numbers
F. Demonstrate the ability to work with quadratic equations.
TOPICAL OUTLINE:
A. Ratios, Fractions, and Percents
1. Solve problems involving ratios
2. Solve problems involving proportion
3. Solve equations with fractional coefficients
4. Solve fractional equations
5. Work with percents
6. Solve problems involving percents
7. Solve mixture problems
8. Solve word problems
9. Use scientific notation
10. Use negative exponents
B. Two-Variable and Linear Equations
1. Solve equations in two variables over given domains of the variables
2. Graph ordered pairs and linear equations in two variables
3. Use graphs to solve systems of linear equations
4. Use the substitution method to solve systems of linear equations in two variables
5. Use systems of linear equations in two variables to solve problems
6. Use addition or subtraction to solve systems of linear equations in two variables
7. Use multiplication with the addition or subtraction method to solve systems of linear equations
8. Use systems of equations to solve wind and water current problems
9. Use systems of equations to solve digit, age and fraction problems
C. Slopes, Functions, Graphs, Linear and Quadratic Equations
1. Find the slope of a line
2. Use the slope-intercept form of a linear equation
3. Find an equation of a line given the slope and one point on the line, or given two points on the line
4. Understand what a function is and how to find its value
5. Define functions without using equations
6. Graph linear and quadratic functions
7. Use the concept of direct variation to solve problems
8. Use the concept of inverse variation to solve problems
9. Use quadratic direct variation and variation inversely as a square in problem solving
10. Solve problems involving joint variation and combined variation
D. Inequalities and Absolute Values
1. Review the concept of order and graph certain inequalities
2. Transform inequalities in order to solve them
3. Solve problems that involve inequalities
4. Find the solution sets of combined inequalities
5. Solve equations and inequalities involving absolute value
6. Extend your skill in solving open sentences that involve absolute value
7. Graph linear inequalities in two variables
8. Graph the solution set of a system of two linear inequalities
E. Rational and Irrational Numbers
1. Learn and apply some properties of real numbers
2. Express rational numbers as decimals or fractions
3. Find the square roots of numbers that have rational square roots
4. Simplify radicals and to find decimal approximations to irrational square roots
5. Find square roots variable expressions and to use them to solve equations and problems
6. Use the Pythagorean theorem and its converse to construct lengths corresponding to irrational numbers and to solve geometric problems
7. Simplify products and quotients of radicals
8. Simplify sums and differences of radicals
9. Multiply binomials containing square-root radicals
10. Solve simple radical equations
F. Quadratic Equations
1. Solve quadratic equations involving perfect squares
2. "Complete the Square" and use the result to solve quadratic equations
3. Learn the quadratic formula and use it to solve equations
4. Use the discriminate to determine the number of roots of the equation ax 2 + bx + c = 0, and the number of x-intercepts of the graph of the related equation y=ax 2 + bx + c
5. Choose the best method for solving a quadratic
6. Use the quadratic equation to solve problems
TEXTBOOK / SPECIAL MATERIALS:
Algebra: Structure and Method, Book I, Dolciani, Mary P., Brown, Richard G, Cole, William L., Boston: Houghton & Mifflin 1986.
EVALUATION:
The student will receive a letter grade of A, B, or C for successful completion of the course. The student will receive a grade of U for unsatisfactory progress. Grades are earned by completion of Mastery Tests given at the end of each unit within the course. Grades are determined by the following scale.
100% - 90% = A
89% - 80% = B
79% - 70% = C
69% - 0% = U
The student will be given an I for incomplete work. The work needs to be completed within 30 days to earn a passing grade. If the work is not completed in specified time, the student will receive a U for the course.
CONDUCT CODE/ACADEMIC INTEGRITY
As a student at DACC, you are expected to exhibit conduct compatible with the educational mission of the college. It is your responsibility to become familiar with and adhere to the DACC Student Conduct Code and the Academic Integrity Policy, as contained in the Student Handbook.
RECORD UPDATED:
2009/02/02 11:58:38
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