# Mathematics

Student: ________________________ Course-Section: ______________________ Date: ___________

MATH Assignment for Core Assessment, 2017-18

Job opportunity surveys have consistently shown a high demand for those who can use mathematics to model complex processes and make informed predictions of the future. With this assignment, the student has the opportunity to demonstrate his or her level of sophistication with respect to the key, in-demand skills of **communication, quantitative literacy, and critical thinking**.

One skill of **critical thinking** involves evaluating information taken from sources and questioning its authenticity. This assignment may contain questionable information.

Objective: You are to consider the implications of rising tuition costs and make better, more informed life decisions with respect to course load. Specifically, you will estimate the tuition costs in the year 2019 – 2020.

Answer the following questions using complete sentences.

I. **Visual Communication (**the ability to recognize and understand ideas conveyed through visible images.)

The attached set of images, “Are you on the Fast-Track?” is found on the Eastfield College website. Although figure numbers are not actually printed on the graphic, consider Figure 1 as being “Time Is Money”. This particular image will not be used in this assignment. Consider Figure 2 as relating the number of classes taken per semester to the time required to complete a degree. Consider Figure 3 as the COST graph, predicting costs of tuition (the smooth solid (red) line with an arrow.) (Perhaps writing “Fig. 2” and “Fig 3” beside these images would be helpful.)

1. *Description of the image*

For Figure 2, “Number of classes” and Figure 3, “Cost,” identify the type of graph. Choose one of the following: line graph, bar graph, picture graph, or pie (circle) graph.

a. Figure 2 is a _______________________________

b. Figure 3 is a _______________________________

c. Explain how the choice of books and caps as icons in Figure 2 affect the image’s message._________________________________________________________________________________________________________________________________________________________________

d. What other icons would you suggest that could convey the message of Figure 2? _________________________________________________________________________________________________________________________________________________________________________

2. *Explanation (meanings and purposes of the image)*

a. How do you interpret the message of Figure 2 (books and caps)? _________________________________________________________________________________

b. How do you interpret the message of Figure 3 (colored lines)? _________________________________________________________________________________

*3. Consequences and Implications*

a. In Figure 2 (books and caps), the choice of taking 4 classes per semester (a full load) is conspicuously absent. Assuming 4 classes per semester, how many years do you think it would take to complete an Associates Degree? _________________________________________________________________________________

b. For whom are Figures 2 and 3 designed? __________________________________________________________________________________________________________________________________________________________________

c. What do you need to do based on the suggestion of this visual graphic? _______________________________________________________________________________

II. **Quantitative Literacy **(using numerical data to reason and accurately solve quantitative problems.)

1. *Interpretation*

a. Explain the information presented in Table 1 (Note: Table 1-A costs have been adjusted for inflation relative to the 2014-2015 school year costs. Table 1-B costs represent actual costs at that time for that specific school year.) __________________________________________________________________________________________________________________________________________________________________________

b. Notice that all of the numbers in Table 1-A and 1-B differ for the same school year period except for the last column of $2286. Why is this? ______________________________________________________________________________

2. *Representation* (converting information into mathematical forms)

3. *Calculations*

a. Compute the average (the mean) tuition costs for public two-year colleges, using Table 1-B. __________________________________________________________________________________________________________________________________________________________________

b. Find the median of Table 1-A. ___________________________________________________

c. Find the mode of Table 1-A. _____________________________________________________

d. Now round the numbers in Table 1-A to the nearest $10. Find the mode using these rounded figures. __________________

e. How much did tuition increase from 2004 through 2015 from Table 1-A? _________________________________________________________________________________

Find the average increase per year: ______________________________________________

f. How much did tuition increase from 2004 through 2015 from Table 1-B? _________________________________________________________________________________

Find the average increase per year: ______________________________________________

g. Using your averages in (e) and (f), estimate:

Tuition in 2019-2020 in 2014 dollars (Table 1-A): _________________________________

Tuition in 2019-2020 in current dollars (Table 1-B): ______________________________

4. *Application/Analysis*

Make a judgment and draw appropriate conclusions based on the quantitative analysis of the data in Table 1 using your math model. Recognize the limits of this analysis. __________________________________________________________________________________________________________________________________________________________________________

5. *Assumptions*

What assumptions were made in your estimate of tuition costs in Part II.3.g? __________________________________________________________________________________________________________________________________________________________________________

6. *Use of quantitative information*

Which calculations in Section II.3 above might satisfy the stated objective of estimating tuition costs in the year 2019-2020? Explain. _____________________________________________________________________________________

__________________________________________________________________________________

III. **Critical Thinking **(exploring issues and ideas before accepting or formulating an opinion or conclusion.)

1. *Explanation*

What exactly are you being asked to do with this assignment? __________________________________________________________________________________________________________________________________________________________________________

2. *Evidence*

What are the sources of data used in this problem?

a. Source of EFC data in Figure 3, the COST graph: ______________________________________

b. Source of data of Table 1? __________________________________________

Are there other sources of information which could be considered? __________________________________________________________________________________________________________________________________________________________________________

3. *Influence of context and assumptions*

a. What mathematical assumptions do you think were made in deriving Fig 3, the COST graph? __________________________________________________________________________________________________________________________________________________________________

b. Compare your cost estimates in 2020 using Table 1, A and B, (Part II.3.g) with the cost estimates in Figure 3 of the EFC image. (The smooth solid (red) line with the arrow is the tuition cost line.) __________________________________________________________________________________________________________________________________________________________________

c. What contextual influences of cultural, social, political, philosophical, and/or historical do you recognize? __________________________________________________________________________________________________________________________________________________________________

4. *Conclusion*s

What conclusions can be made from your analysis? __________________________________________________________________________________________________________________________________________________________________________

5. *Application*

What do you need to do based on your consideration of the factors in this study? __________________________________________________________________________________________________________________________________________________________________________

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Graphic by: Liliana Rodriguez

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TABLE 1. Average Published Tuition and Fees in Current Dollars and in 2014 Dollars, by State, 2004-05 to 2014-15

In 2014 Dollars2004-052005-062006-07 2007-08 2008-092009-10

2010-112011-122012-132013-142014-15

Texas$1,738$1,791$1,885$1,886$1,800$1,932$2,030$2,151$2,232$2,248$2,286

Table 1-A

In Current Dollars2004-052005-062006-07 2007-08 2008-092009-10

2010-112011-122012-132013-142014-15

Texas$1,382$1,469$1,610$1,649$1,662$1,746$1,858$2,040$2,146$2,204$2,286

Table 1-B

SOURCE: The College Board, Annual Survey of Colleges.

Note: Average tuition and fee prices are weighted by full-time enrollment.

Public Two-Year In-District Tuition and Fees

Public Two-Year In-State Tuition and Fees