TIInterActive FileMeasuring the Thickness of Encyclopedias
Collect data (steps 1-3) due by _____________
Entire project due by ____________________
Project counts as a test grade.
10 % will be deducted for each day the project is turned in late.
No two students can use the same data.
Pretend you are writing the project for your parents or the principal, someone who is not in this class. Express all your thoughts clearly in complete sentences.
Supplies
You will need a set of encyclopedias and a centimeter ruler.
Instructions
1) Choose ten of the volumes from a set of encyclopedia. Choose a variety of thicknesses.
2) For each encyclopedia, record the volume number, the last page number, and thickness of the encyclopedia measured to the nearest .1 cm. Check the accuracy of the data by measuring everything twice.
3) Choose one more encyclopedia that is not in your original data set. Record its volume number, the last page number, and its thickness. Do not use this information until the end of the project. Save this information to determine how close the prediction comes to the actual data.
4) Open TI Interactive.
5) Type the title of the project, today's date, the period of this class, and your name.
6) Explain how you collected the data.
7) Use TI Interactive to print your data into three lists.
7a) Click on the List Button(5th icon).
7b) Type the volume number into L1.
7c) Type the last page number into L2.
7d) Type the thickness of the encyclopedias into L3.
7e) Click on Save to Document button(1st icon).
7f) If you can't see all lists, click on the list and stretch or shrink the list horizontally or vertically so you can see all the data (nothing extra).
7g) With the cursor positioned at the end of the list, press Enter to create a new line.
8) Describe what L1, L2, and L3 represent in complete sentences.
9) Use TI Interactive to graph a scatterplot of the data. (Hint: In this activity L2 represents the x coordinates and L3 represents the y coordinates.) All scatterplots must have a title and the x and y axis must be labeled. (The units must be included.) All scatterplots must have an appropriate window.
9a) On the TI Interactive toolbar, locate the Graph button(3rd icon) and click the down arrow next to it. A group of buttons is displayed, representing the available graph types.
9b) Click the Scatter Plot button(last one). The functions editor is displayed along with a Graph window.
9c) Make sure that the Stats Plots tab is selected
9d) In the uppermost text box, type L2 to specify it as the list containing the x coordinates.
9e) Press the Tab key to move to the second text box, and type L3 to specify it as the list containing the y coordinates.
9f) To change the color of the dots of the scatter plot, click on the color box and choose a color.
9g) To change the size of the dots of the scatterplot, click on the scatterplot box and to make the dots bigger, change the size to 3.
9h) If it is not already checked, click the check box at the left to select this plot. TI Interactive plots the data points in the Graph window. The points are not visible, however, because they are outside the default viewing boundaries of the Graph window.
9i) Click on Format button. Make sure that the window tab is selected. Enter an appropriate x min, x max, x scale, y min, y max, and y scale by using the tab key. For this project let x min = 0 and y min = 0. Click OK.
9j) Click on Format button again. Select the labels tab. Use the tab key to give the graph a title. For this project the title of the graph should be World Book or the name of the set of encyclopedia you used. Use the tab key to move over to the option of giving the x axis a title. (If there are units, you need to put them in parenthesis.) Use the tab key to move over to the option of giving the y axis a title. (Again put the units in parenthesis.) Click OK.
9k) Click the Save to Document button(1st icon) to close the Graph window and insert the graph into the document.
10) Find an equation that closely fits the data by using the guess-test-revise method.
10a) Double click on the graph.
10b) Select the f(x) tab.
10c) Guess the equation that best fits the data. If you want to guess y = x, type only x into the uppermost textbox. Click the check box at the left to graph the equation. Keep guessing until the equation closely fits all the data. Hint: What does the slope and the y intercept represent in this activity? This hint will enable you to guess the equation quickly.
10d) Click the Save to Document button(1st icon) to close the graph window and insert the graph into the document.
11) Answer the following questions in complete sentences.
11a) State the equation of best fit. How did you find it?
11b) What is the slope? What are the units of the slope? What does the slope represent in this real world problem?
11c) What is the y intercept? What is the unit of the y intercept? What does the y intercept represent in this real world problem?
12) Given the thickness of another encyclopedia, use the equation to predict the number of pages.
12a) State what you are going to do.
12b) Click on the math box button(1st icon). If the equation of best fit is y=.9+.0021x and 3.9 is the thickness of the 11th volume, then type solve(3.9=.9+.0021x, x) inside the math box. Click outside the math box to close it and then the answer will appear.
12c) Explain what you have just done.
12d) Compare the prediction to the actual number of pages.
13) If you had a ruler and any volume of your set of encyclopedias, how could you easily find the y intercept?
14) What is the thickness of one sheet of paper in your set of encyclopedias?
15) Give a brief statement evaluating the project. Was it worthwhile? Did you like it?
16) State and sign the Honor Policy. Put signature in different font.
17) Turn in a printout of the project and email me your project. The subject of the email must be the student's name and the title of the project.
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