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MAT097SP22

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Foundations II

Measurable Student Learning Outcomes

1. (Application Level) Apply the appropriate rules of addition, subtraction, multiplication, and division with polynomials, rational expressions, radical expressions, and complex numbers. (CSLO 4)
2. (Application Level) Apply the laws of exponents to simplify problems involving the product and/or quotient of expressions with exponents and to express answers without any negative exponents. (CSLO 4)
3. (Evaluation Level) Evaluate problems involving scientific notation, including converting numbers expressed as scientific notation to standard notation and vice versa. (CSLO 4)
4. (Application Level) Apply variation formulas to set up and solve direct and inverse variation problems. (CSLO 4)
5. (Application Level) Determine the domain and the range of a relation. (CSLO 2)
6. (Application Level) Construct linear models and graphs given multiple representations of the function and describe trends and predictions for a given data set. (CSLO 2, 4)
7. (Comprehension Level) Describe the rate of change of a linear function. (CSLO 4)
8. (Application Level) Use various factoring techniques to completely factor polynomials, including GCF, grouping, factoring trinomials, the difference of squares, and the sum and difference of cubes. (CSLO 4)
9. (Application Level) Solve linear equations and related applications. (CSLO 2, 4)
10. (Application Level) Solve quadratic equations and inequalities with complex solutions by factoring and applying the Zero Product Property, completing the square, quadratic formula and graphing. (CSLO 2, 4)
11. (Application Level) Graph linear equations in two variables on the rectangular coordinate plane using point-slope form and slope-intercept form. (CSLO 2)
12. (Application Level) Find the equation of the line when given the slope and y-intercept, the slope and a point, or two points on the line. (CSLO 2, 4)
13. (Application Level) Solve systems of linear equations in two or three variables by graphing, substitution, and elimination and identify the solution given the graph. (CSLO 2, 4)
14. (Application Level) Solve and apply appropriate properties to find the solution to compound inequalities involving absolute value, quadratic expressions, and rational expressions.
(CSLO 2, 4)
15. (Comprehension Level) Demonstrate an understanding of exponential functions and their inverse relationship by converting between logarithmic and exponential forms and graphing. (CSLO 2, 4)