MS-099 Intermediate Algebra

Course title: MS 099, Intermediate Algebra

Campus: CTEC

Initiator: Deeleeann Daniel

Date: 3/14/19

Course description

Students will be able to perform arithmetic operations on rational expressions; solve and graph inequalities, absolute value, functions, and systems of linear equations; evaluate, simplify, and rationalize radical expressions and complex numbers; solve quadratic equations by completing the square and using the quadratic formula; and solve and graph inverse, exponential, and logarithmic functions

Hours per Week

No. of Weeks

Total Hours

Semester Credits

Lecture

5

x

16

x

80/16

=

5

Laboratory

x

x

=

Lecture/Lab

x

x

=

Workshop

x

x

=

Total Semester

Credits

=

PSLO#

Program

[ ]

1. Effective oral communication: capacity to deliver prepared, purposeful presentations designed to increase knowledge, to foster understanding, or to promote change in the listeners’ attitudes, values, beliefs, or behaviors.

[ ]

2. Effective written communication: development and expression of ideas in writing through work in many genres and styles, utilizing different writing technologies, and mixing texts, data, and images through iterative experiences across the curriculum.

[ ]

3. Critical thinking: a habit of mind characterized by the comprehensive exploration of issues, ideas, artifacts, and events before accepting or formulating an opinion or conclusion.

[ ]

4. Problem solving: capacity to design, evaluate, and implement a strategy to answer an open-ended question or achieve a desired goal.

[ ]

5. Intercultural knowledge and competence: a set of cognitive, affective, and behavioral skills and characteristics that support effective and appropriate interaction in a variety of cultural contexts.

[ ]

6. Information literacy: the ability to know when there is a need for information, to be able to identify, locate, evaluate, and effectively and responsibly use and share that information for the problem at hand.

[X]

7. Foundations and skills for life-long learning : purposeful learning activity, undertaken on an ongoing basis with the aim of improving knowledge, skills, and competence.

[X]

8. Quantitative Reasoning: ability to reason and solve quantitative problems from a wide array of authentic contexts and everyday life situations; comprehends and can create sophisticated arguments supported by quantitative evidence and can clearly communicate those arguments in a variety of formats.

CSLO (General) 1: Perform arithmetic operations on rational expressions.

Student Learning Outcome (specific)

ISLO

PSLO

Assessment Strategies

1.1 Factor expressions.

7

3.1

Class exercise on factoring expressions solving quadratic equation by factoring.

1.2 Simplify rational expressions

7

3.1

Homework or class exercise on simplifying rational expressions.

1.3 Perform operations on rational expressions (add, subtract, multiply, divide).

7*

3.1

Worksheets on adding, subtracting, multiplying, and dividing rational expressions.

1.4 Solve equations involving rational and complex expressions.

7

3.1 and 3.3

Quiz on solving equations involving rational and complex expressions.

1.5 Solve application problems that involve rational expressions.

8

3.1

Unit/Objective test on operations, solving equations and application problems that involve rational expressions.

CSLO (General) 2: Solve and graph inequalities, absolute value, and functions.

Student Learning Outcomes (specific)

ISLO

PSLO

Assessment Strategies

2.1 Solve equations with compound inequalities and absolute values

7

3.1 and 3.2

Home work or quiz on solving and graphing absolute value equations and inequalities.

2.2 Graph functions and relations.

7

3.1 and 3.2

Worksheet - identifying whether a graph does or does not represent a function and graphing linear, quadratic and absolute value functions using graphing paper and/or graphing software and describe their differences in terms of graph shapes.

2.3 Add, subtract, multiply, and divide functions.

7

3.1

Class exercise on operations on functions (add, subtract, multiply, divide and composition of functions.

CSLO (General) 3: Evaluate, simplify, and rationalize radical expressions and complex numbers.

Student Learning Outcomes (specific)

ISLO

PSLO

Assessment Strategies

3.1 Simplify, evaluate, and perform arithmetic operations on radical expressions.

7

3.1

Worksheets on operations (add, subtract, divide, multiply) and simplifying radical expressions.

3.2 Find the domains and graph radical functions.

7

3.2

Practical assessment where students will use graphing paper and/or graphing software to graph radical functions and discuss the finding of the domains of radical functions (scored with a rubric).

3.3 Evaluate rational exponents.

7

3.1

Class exercise or homework on evaluating rational expressions with rational exponents.

3.4 Solve radical equations.

7

1

Worksheet on solving radical equations.

3.5 Solve application problems that involve radical equations.

8

3.1

Worksheet or quiz on solving word problem application relating to radical equations.

3.6 Perform arithmetic operations with complex numbers.

7

3.1

The student will simplify (add, subtract, divide, multiply) complex numbers.

CSLO (General) 4: Solve quadratic equations by completing the square and using the quadratic formula.

Student Learning Outcomes (specific)

ISLO

PSLO

Assessment Strategies

4.1 Solve quadratic equations by completing the square including imaginary solutions.

7

3.1

Worksheet on solving quadratic equations by factoring, square rooting, and completing the square including imaginary solutions.

4.2 Use the quadratic formula to solve quadratic equations.

7

3.1

Class exercise or homework on solving quadratic equations using the quadratic formula

4.3 Graph quadratic equations andfunctions.

7

3.1

Worksheet or quiz on graphing quadratic equations and functions using graphing paper and/or software .

4.4 Solve application problems involving quadratic equations.

8

3.1

Quiz on solving word problems that involve quadratic equations.

4.5 Solve and graph nonlinear inequalities.

7

3.1

Practical assessment where students will find and describe the solution region for nonlinear inequalities using graphing paper or graphing software. (scored with a rubric)

CSLO (General) 5: Solve and graph inverse, exponential, and logarithmic functions.

Student Learning Outcomes (specific)

ISLO

PSLO

Assessment Strategies

5.1 Find the composition of two functions.

7

3.1

Homework or class exercise on finding the composition of two functions.

5.2 Use composition to find the inverse of a function.

7

3.1

Worksheet on finding the inverse of a function.

5.3 Solve and graph exponential equations and functions.

7

3.1and 3.2

Class exercise or quiz on solving exponential equations and functions and graphs using graphing paper and/or software.