OUTCOMES BASED LEARNING MATRIX

 

Course:  MATH115  Contemporary Mathematics                                                                        Department:  Mathematics

 

Course Description:  Students will develop problem-solving skills while covering topics which include number sense and estimation, proportions, unit conversions, metric system, statistics and probability, percents, the mathematics of finance, and mathematical modeling of contemporary problems.  Additional topics will be tailored to meet the needs of students in specific programs.

 

Prerequisite:  Introductory Algebra (MATH101) or waiver by placement testing results or Departmental Approval

 

 

COURSE OUTCOMES

OUTCOMES ACTIVITIES

ASSESSMENT TOOLS

Application problems will be chosen to reflect the career interests of the class population.

 

 

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

 

 

Demonstrate an understanding of the concepts of numbers and estimation.

 

 

1.     Review the concept of place value. (QS)

2.     Develop estimation skills. (R,QS,CT)

3.     Apply estimation skills to problem solving. (R,QS,W,CT)

 

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)

Apply the concepts of ratio and proportion to solve applied problems.

 

 

1.     Find rates and unit rates. (R,QS,CT,TS)

2.     Solve proportions. (W,R,QS,CT,TS)

3.     Solving application problems using proportions. (W,R,QS,CT,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)

Use both the English and metric systems of measurements in order to use them appropriately.

 

1.     Make conversions within each system and between systems.  (QS,CT,TS)

2.     Compute unit conversions as necessary for applied problems. (QS,CT,W,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 descriptive statistics problems in order to analyze and interpret data in real word situations.

 

 

1.     Read, interpret, and create bar graphs, pie graphs, and line graphs. (W,R,CT,QS)

2.     Calculate the mean, the median, the mode, the range and the standard deviation for a given set of data. (W,R,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)

Use the rules of basic probability in order to solve related problems.

 

 

1.     Apply the basic concepts of probability including the addition and multiplication rules. (CT,QS,R,TS)

2.     Solve problems involving the Fundamental Counting Principle, permutations, and combinations. (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 the basic percent equation in order to develop techniques to solve applied problems.

1.     Solve the basic three types of percent equations. (W,R,CT,QS,TS)

2.     Solve real life application problems, such as simple interest and sales tax, percent increase and decrease, sales discount and commission. (W,R,CT,QS,TS)

3.     Identify uses and abuses of percents. (W,R,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)

Apply the concepts of consumer mathematics in order to solve problems involving the mathematics of finance.

1.    Solve application problems involving simple and compound interest. (CT,QS,R,TS,W)

2.    Solve problems involving annuities. (CT,QS,R,TS)                                                                                    (CT,QS,R

3.    Calculate loan payments. (CT,QS,R,TS,W)

 

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)

OPTIONAL:

Use the properties of the normal distribution in order to solve related problems.

1.     Find the mean and standard deviation of a normally distributed set of data. (CT,QS,R,TS)

2.     Solve problems involving the normal distribution: (CT,QS,R,TS)

a.       find z-scores,

b.       find probabilities,

c.        find the data value for a given probability.

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)

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

Referenced above

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).