OUTCOMES BASED LEARNING MATRIX

 

Course:  MATH143 Telecommunication Technical Mathematics I                             Department:  Mathematics

 

Course Description:  This is the first course in a two-semester sequence of intermediate algebra and trigonometry with technical applications. Topics include units of measurement and approximate numbers, fundamental concepts of algebra, factoring and fractions, functions and graphs, the trigonometric functions, right triangle trigonometry and applications, vectors, graphs of sinusoidal curves, complex numbers, and quadratic equations. The scientific calculator and a CAS computer software package will be used throughout the course.

Prerequisite: Placement examination
Corequisite: Enrollment in Verizon Next Step Program

COURSE OUTCOMES

OUTCOMES ACTIVITIES

ASSESSMENT TOOLS

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

 

 

Demonstrate an understanding of dimensional analysis in order to write solutions to applied problems using the correct accuracy and precision and the correct units.

1.       Determine the number of significant digits in a given approximate number. (CT,QS)

2.       Write answers to addition, subtraction, multiplication, division, raising to powers, and extraction of roots problems involving approximate numbers with appropriate precision and accuracy. (CT,QS,TS)

3.       Perform unit conversions. (CT,QS)

4.       Determine the appropriate units for the solution to a problem involving denominate numbers. (CT,QS)

1.       Written quiz (W,R,CT,Q)

2.       Written exam (W,R,CT,Q)

3.       Homework journal (W,R,CT,Q)

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

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 fundamental concepts of algebra in order to use them to solve applied problems in this and other courses in the Next Step Program.

1.       Add, subtract, multiply and divide signed numbers by hand and by using technology. (CT,QS,TS)

2.       Simplify exponential expressions by using the properties of exponents and by using a CAS. (CT,QS,TS)

3.       Add, subtract, multiply, and divide algebraic expressions by hand and by using a CAS. (CT,QS,TS)

4.       Convert back and forth among inequalities, interval notation, and number line graphs. (CT,QS)

5.       Solve linear equations and inequalities by hand and by using a CAS. (CT,QS,TS)

6.       Solve quadratic equations by factoring and by the quadratic formula and by using a CAS. (CT,QS,TS)

7.       Solve literal equations algebraically and by using a CAS. (CT,QS,TS)

8.       Solve related application problems. (CT,QS,R,TS)

1.       Written quiz (W,R,CT,Q)

2.       Written exam (W,R,CT,Q)

3.       Homework journal (W,R,CT,Q)

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

5.       In-class problems (CT,QS,R)

6.       Group work (CT,QS,R)

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

 

Factor polynomials in order to use these skills to solve related problems as they are introduced in this course and other mathematics and related courses.

1.       Factor out common factors. (CT,QS)

2.       Factor trinomials. (CT,QS)

3.       Factor the difference of two squares, the sum of two cubes, and the difference of two cubes. (CT,QS)

4.       Use a CAS to factor. (CT,QS,TS)

1.       Written quiz (W,R,CT,Q)

2.       Written exam (W,R,CT,Q)

3.       Homework journal (W,R,CT,Q)

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

5.       In-class problems (CT,QS,R)

6.       Group work (CT,QS,R)

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

Solve problems involving rational expressions in order to use these skills to solve related problems as they are introduced in this course and other mathematics and related courses.

1.       Add, subtract, multiply, and divide rational expressions by hand and by using a CAS. (CT,QS,TS)

2.       Solve equations containing rational expressions by hand and by using a CAS. (CT,QS,TS)

3.       Solve related application problems. (CT,QS,R,TS)

1.       Written quiz (W,R,CT,Q)

2.       Written exam (W,R,CT,Q)

3.       Homework journal (W,R,CT,Q)

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

5.       In-class problems (CT,QS,R)

6.       Group work (CT,QS,R)

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

Demonstrate knowledge of the basic properties of functions and their graphs in order to apply this knowledge to solve applications problems and related graphing problems found in this course and other related courses.

1.       Determine if a relation is a function. (CT,QS)

2.       Find the domain and range of a function. (CT,QS)

3.       Graph a given function by hand and by using a CAS. (CT,QS,TS)

4.       Find the intercepts of a function algebraically and graphically. (CT,QS,TS)

5.       Add, subtract, multiple, and divide functions by hand and by using a CAS. (CT,QS,TS)

6.       Evaluate the composition of functions by hand and by using a CAS. (CT,QS,TS)

7.       Use the graph of a function to identify domain, range, and intercepts. (CT,QS,TS)

1.       Written quiz (W,R,CT,Q)

2.       Written exam (W,R,CT,Q)

3.       Homework journal (W,R,CT,Q)

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

5.       In-class problems (CT,QS,R)

6.       Group work (CT,QS,R)

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

 

Solve problems involving right triangle trigonometry in order to solve related applications problems and in order to build the foundation necessary for the study of trigonometric functions and vectors.

1.       Convert between degree and radian measure. (CT,QS,TS)

2.       Evaluate trigonometric functions of any acute angle by using a calculator and by using a CAS. (CT,QS,TS)

3.       Evaluate inverse trigonometric functions by using a calculator and by using a CAS. (CT,QS,TS)

4.       Solve right triangles. (CT,QS,TS)

5.       Solve related application problems. (CT,QS,R,TS)

1.       Written quiz (W,R,CT,Q)

2.       Written exam (W,R,CT,Q)

3.       Homework journal (W,R,CT,Q)

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

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 trigonometric functions and their properties and graphs in order solve applied problems in this course and other courses in the Next Step Program.

1.       Evaluate trigonometric functions of any angle by using a calculator and by using a CAS. (CT,QS,TS)

2.       Find all angles between 0° and 360° or between 0 and 2p given a trigonometric function value. (CT,QS,TS)

3.       Determine the domain, range, and period of a given trigonometric function. (CT,QS)

4.       Sketch the graphs of the six trigonometric functions by hand and by using a CAS. (CT,QS,TS)

5.       Determine the period, amplitude, displacement, and graph of a sinusoidal function. (CT,QS,TS)

6.       Use trigonometric identities.  (CT,QS)

7.       Solve trigonometric equations.  (CT,QS,TS)

8.       Solve related application problems.  (CT,QS,R,TS)                                                           

1.       Written quiz (W,R,CT,Q)

2.       Written exam (W,R,CT,Q)

3.       Homework journal (W,R,CT,Q)

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

5.       In-class problems (CT,QS,R)

6.       Group work (CT,QS,R)

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

 

Solve problems involving vectors in order to develop techniques and skills that will be used in other courses in the Next Step Program.

1.       Differentiate between scalars and vectors. (CT)

2.       Sketch a vector in the coordinate plane to show its displacement and direction. (CT)

3.       Find the vertical and horizontal components of a given vector. (CT,QS,TS)

4.       Add, subtract, and find scalar multiples of vectors. CT,QS,TS)

5.       Solve related application problems. (CT,QS,TS,R)

1.       Written quiz (W,R,CT,Q)

2.       Written exam (W,R,CT,Q)

3.       Homework journal (W,R,CT,Q)

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

5.       In-class problems (CT,QS,R)

6.       Group work (CT,QS,R)

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

 

Perform operations on complex numbers in rectangular form in order to develop techniques and skills that will be used in other courses in the Next Step Program.

1.       Simplify radical expressions with negative radicands. (CT,QS)

2.       Graph a complex number in rectangular form on the complex plane. (CT,QS)

3.       Identify the real and imaginary parts of a complex number in rectangular form. (CT,QS)

4.       Add, subtract, multiply, and divide complex numbers in rectangular form by hand, by calculator, and by using a CAS. (CT,QS,TS)

 

1.       Written quiz (W,R,CT,Q)

2.       Written exam (W,R,CT,Q)

3.       Homework journal (W,R,CT,Q)

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

5.       In-class problems (CT,QS,R)

6.       Group work (CT,QS,R)

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

 

Demonstrate the umbrella competencies of customer focus, quality, teamwork, project leadership, problem solving, technology, and service delivery in order to increase success in the workplace.

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

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**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).