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Graphing by Plotting Points and Slope and y-intercept INTRODUCTION You are about to start your freshman year in college at Shippensburg University. Your grandmother misses you so much that she sends you a card every week. Even better than getting mail, every week she includes $20.00 in her cards to you. Instead of spending this money on unneccessary items you decide to save this for your second semester books which you overapproximate to cost $350.00. Before we begin the activity, let's review coordinate graphing! Click [|Coordinate Game Webpage!] and play the game. Don't forget to read the instructions! Create a document to answer all questions or complete all tasks (write the questions out/brief explination of task, and give responses) Record your score as activity 1. Be sure to do a minimum of 12 points.

TASKS:

- Create a table of x and y values - Plot points on a graph from a table - Use slope and y intercept to draw a function

PROCESS:

1. Create a table of your accumulated savings over a 16 week period. The number of each week goes in the left column (x) and the amount you've saved goes in the right column (y) ||= y ||
 * = x

2. Create a graph by plotting the points from your table

3. Make an educated guess as to how long it will take you to afford your second semester books with your only source of income as saving the accumulated money from your grandmother. Do you have enough money after the 16 weeks of classes? Record your guess on the sheet as activity 2.

4. Please visit the [|tutorial] page to learn about slope. STOP reading when you reach the "Slope/Intercept Equation of a Line" section of the tutorial.

5. Pick two points from your table and practice calculating the slope. Record the value on your sheet.

6. Now we need to learn how to find the y-intercept. Visit this [|site] to learn about the y-intercept.

7. To extend on the given situation, your grandmother gives you a graduation gift of $200.00 before you began your first semester in college that you have saved. Determine the equation of the line recording your savings. *Please note that the slope is what you should have calculated in part 5. 8. Next, visit this [|page] to learn about graphing using slope-intercept form and create a graph of the above situation using this approach., 9. After how many weeks will you have enough money for your second semester books? 10. **Challenge Problem:** Now, use the same technique with the following changes: your grandmother still gives you a graduation gift of $200.00 but she sends you $20.00 every 3rd week.

REFERENCES @http://www.shodor.org/interactivate/activities/coords2/index.html @http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut15_slope.htm @http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut21_graph.htm By: Kristina Wile and Christa Freiwald

EVALUATION

// Rubric // This assignment will be worth 15 points

Coordinate Game Webpage score recorded (1 pt) _________ Correct values in the table (4 pts) _________ Plotted points on the graph are consistent with table (4 pts) _________ Student made educated guess [problem number 4 on worksheet] (1 pt) _________ Slope Calculated Correctly (1 pt) _________ Correct values for slope and y-intercept recorded correctly [problem number 6 on worksheet] (1 pt) _________ Equation written correctly in slope intercept form (1 pt) _________ Number of weeks to save money correct (2 pts) _________

TOTAL POINTS EARNED: _____/ 15