*COURSE OUTCOMES

OUTCOMES BASED LEARNING MATRIX

Course: MATH112 Intermediate Algebra and Trigonometry Department: Mathematics

Course Description: This course is a continuation of Introductory Algebra (MATH101). Topics include properties of exponents, polynomials, factoring, rational expression, radicals and rational exponents, quadratic equations, and right triangle trigonometry.

Prerequisite: C- or better in Introductory Algebra (MATH101) or waiver by placement testing results or Departmental Approval

COURSE OUTCOMES

OUTCOMES ACTIVITIES

ASSESSMENT TOOLS

At the end of this course, students will be able to

Apply the properties of rational exponents in order to facilitate the use of these properties in further topics and problems in mathematics.

1. Simplify exponential expressions using:

d. when

e. when

f. when

g. when (CT,QS)

2. Translate between exponential and radical forms using:

a. when n is a positive integer greater than 1

b. when n is a positive integer greater than 1 and m is any integer. (CT,QS)

1. Written Quiz. (W,R,CT,QS)

2. Written exam. (W,R,CT,QS)

3. Homework journal. (W,R,CT,QS)

4. Hand-in assignments. (W,R,CT,QS)

5. In-class problems (CT,QS,R)

6. Group work (CT,QS,R)

7. Mediated Learning (R,CT,QS,TS,W)

Perform the operations of addition, subtraction, multiplication, and division on polynomials in order to apply these skills to factoring, solving equations, and problem solving.

1. Find sums and differences of polynomial expressions. (W,R,CT,QS)

2. Multiply polynomial expressions including: monomial by monomial, monomial by polynomial, and polynomial by polynomial. (W,R,CT,QS)

3. Find special products including: square of a binomial and binomial times conjugate. (W,R,CT,QS)

4. Divide a polynomial by a monomial. (W,R,CT,QS)

5. Solve applied problems using operations on polynomials. (W,R,CT,QS)

1. Written Quiz. (W,R,CT,QS)

2. Written exam. (W,R,CT,QS)

3. Homework journal. (W,R,CT,QS)

4. Hand-in assignments. (W,R,CT,QS)

5. In-class problems (CT,QS,R)

6. Group work (CT,QS,R)

7. Mediated Learning (R,CT,QS,TS,W)

Solve various types of factoring problems in order to apply these skills to further topics and problems in mathematics.

1. Factor a monomial from a polynomial. (W,R,CT,QS)

2. Factor by grouping. (W,R,CT,QS)

3. Factor a trinomial of the form (W,R,CT,QS)

4. Factor a trinomial of the form (W,R,CT,QS)

5. Factor the difference of two perfect squares. (W,R,CT,QS)

6. Factor a perfect square trinomial. (W,R,CT,QS)

7. OPTIONAL: Factor the sum or difference of two cubes. (W,R,CT,QS)

8. Use multiple factoring techniques to factor completely any expression. (W,R,CT,QS)

9. Solve equations by factoring. (W,R,CT,QS)

10. Solve applied problems using factoring. (W,R,CT,QS)

1. Written Quiz. (W,R,CT,QS)

2. Written exam. (W,R,CT,QS)

3. Homework journal. (W,R,CT,QS)

4. Hand-in assignments. (W,R,CT,QS)

5. In-class problems (CT,QS,R)

6. Group work (CT,QS,R)

7. Mediated Learning (R,CT,QS,TS,W)

Simplify and perform operations on rational expressions in order to apply these skills to further topics and problems in mathematics.

1. Simplify rational expressions (reduce to lowest terms). (CT,QS,R)

2. Multiply and divide rational expressions. (CT,QS R)

3. Add and subtract rational expressions with like denominators and with unlike denominators. (CT,QS R)

4. Solve rational equations. (CT,QS,R)

5. Simplify complex fractions. (CT,QS,R)

6. Solve applied problems. (CT,QS,R)

1. Written Quiz. (W,R,CT,QS)

2. Written exam. (W,R,CT,QS)

3. Homework journal. (W,R,CT,QS)

4. Hand-in assignments. (W,R,CT,QS)

5. In-class problems (CT,QS,R)

6. Group work (CT,QS,R)

7. Mediated Learning (R,CT,QS,TS,W)

Demonstrate the ability to simplify and perform operations with radicals in order to apply these skills to further topics and problems in mathematics.

1. Simplify radical expressions. (CT,QS,R)

2. Add, subtract, and multiply radical expressions. (CT,QS,R) subtraction and multiplication. (W,R,CT,QSS)

3. Rationalize denominators (monomial square root denominators and binomial square root denominators). (W,R,CT,QS)

4. Solve radical equations. (W,R,CT,QS)

5. Solve applied problems. (W,R,CT,QS)

1. Written Quiz. (W,R,CT,QS)

2. Written exam. (W,R,CT,QS)

3. Homework journal. (W,R,CT,QS)

4. Hand-in assignments. (W,R,CT,QS)

5. In-class problems (CT,QS,R)

6. Group work (CT,QS,R)

7. Mediated Learning (R,CT,QS,TS,W)

Solve quadratic equations in order to apply these skills to further topics and problems in mathematics.

1. Solve by factoring. (CT,QS)

2. Solve by the square root method. (CT,QS)

3. Solve by the quadratic formula. (CT,QS)

4. OPTIONAL: Solve by completing the square. (CT,QS)

5. Solve applied problems. (CT,QS,W,R)

1. Written Quiz. (W,R,CT,QS)

2. Written exam. (W,R,CT,QS)

3. Homework journal. (W,R,CT,QS)

4. Hand-in assignments. (W,R,CT,QS)

5. In-class problems (CT,QS,R)

6. Group work (CT,QS,R)

7. Mediated Learning (R,CT,QS,TS,W)

Demonstrate an understanding of the six trigonometric functions of an acute angle in a right triangle in order to use trigonometry appropriately to solve applied problems in mathematics and related courses.

1. Use the basic definitions to find the trigonometric function values of a given acute angle in a right triangle. (CT,QS, R)

2. Use a scientific calculator or trigonometric tables correctly. (CT,QS,R,TS)

3. Solve right triangles. (CT,QS, R)

4. Solve applied problems. (CT,QS, R)

1. Written Quiz. (W,R,CT,QS)

2. Written exam. (W,R,CT,QS)

3. Homework journal. (W,R,CT,QS)

4. Hand-in assignments. (W,R,CT,QS)

5. In-class problems (CT,QS,R)

6. Group work (CT,QS,R)

7. Mediated Learning (R,CT,QS,TS,W)

Strengthen Core Competencies** in order to increase success in this and other courses and in the workplace.

Referenced above

**Indicate the Core Competencies that apply to the outcomes activities and assessment tools: Critical Thinking (CT); Technology Skills (TS); Oral Communications (OC); Quantitative Skills (QS); Reading (R); Writing (W).