Exploring Slope in Real-Life



Exploring Slope in Real-Life Name ______________________________

Date ________________ Per ____

Part I Real World Slopes (Day 1)

The Leaning Tower of Pisa has a very steep slope.

Today, you are going to collect interesting pictures that feature slope.

Anything can have slope!

Be creative!

And remember . . .

Slope can be positive, negative, zero, or undefined!

But NO zero or undefined slopes in this lab!

Materials Needed:

Computer (Internet Access)

Ruler

Pencil

Stick Drive (Pen Drive or Jump Drive)

Assignment:

1) Collect 5 different pictures that show slope.

Be creative! Some examples: Leaning Tower of Pisa (yes, you can use this), ski slopes in Switzerland or anywhere else (the steepest ones, the moderate ones, the easy ones, etc.), slopes of mountains, slopes of canyons, etc.

“ ( images” is a great place to start looking for these pictures.

2) Copy each picture into a Word document.

**Insert a heading (name, date, and period) in the top of the document.

Fit about 2-4 per pictures per page depending on the size of the picture (re-size them).

Remember to save the Word document in your student file your “H” drive.

Remember to save repeatedly as you work.

3) Print out the pictures.

**If you want, you can type in some of the elements in #4 before printing out and writing them. See #4 first. (

4) Each picture must be accompanied by the following elements:

a) Retrieve (get) the x/y axis grid on my website or past picture into Geometers Sketchpad.

i. See next page for examples.

b) Label the points and Draw your line.

c) Draw a text box beside your picture. Put all your information on that picture in the text box.

i. Write whether the slope of the picture (with your line) is positive or negative.

ii. Calculation of slope. You can use rise over run or use the slope formula by using points on the graph.

iii. If you use rise over run on the grid and not the coordinates, show the arrows and signed (positive/negative) numbers next to them.

iv. If you use the slope formula, show the points (coordinates) you are using and then show work supporting how you found the slope.

5) When finished, staple your sheets AND THIS LAB AT THE FRONT and turn in.

Make sure your work is saved on your “H” drive frequently before exit Word.

Steps for putting a grid on your “Slope” pictures

1. Use the “Snipping Tool” to copy pictures (use control “c” to copy)

2. Next open up Geometers Sketchpad (go to all programs on the windows ICON)

a. Folder “Sketchpad” double click on GSP5

b. Click on the tab for “graph”

i. Click show grid

ii. Go back and click graph again

1. Click snap points

3. Paste picture into sketchpad (use control “v” to paste)

a. Your picture should appear (if not call Mr. K)

4. Do not use the axis from GSP5, make your own using the line tool

5. Pick a shape (straight, not vertical nor horizontal) to calculate the slope

a. Use the line tool to make the line on your picture (see picture below)

6. Use the “Snipping Tool” again to copy your picture to a word document (Control “c”)

a. Open Microsoft word and paste picture (Control “v”) resize picture to do your work on the side of the picture

7. List positive or negative slope, the points, and do the calculations for the slope of your line

8. After calculations go back to your graph to verify you have the correct slope [pic]

9. If you do not finish save (word document) to a flash drive, Edmodo backpack, or e-class locker to open from home to finish (you may have to use my grid from the website if no sketchpad at home)

Part II Functions with use of Technology (Day 2)

Note: 1. Every time you see a STOP SIGN you need to raise your hand and have ME (Mr K) check your work.

2. Anything enclosed in “” is what you must type in a cell.

A. To Begin

Click on START>Microsoft Office> Microsoft Excel 2010

B. These are the equations of the graphs we are going to construct in lab today:

[pic]

[pic]

[pic]

[pic]

C. Excel can construct graphs of equations for you, but you must help it construct a table of values to use. Here is how to construct a table for the first equation y = x + 8.

1. To title the columns of your table,

Type “x” in A1.

Type “y = x + 8” in B1.

2. To type in x values for your table,

Type “-5” in A2.

Type “-4” in A3.

Type “-3” in A4.

Type “-2” in A5.

Type “-1” in A6.

Type “0” in A7.

Type “1” in A8.

Type “2” in A9.

Type “3” in A10.

Type “4” in A11.

Type “5” in A12.

3. Type “=a2+8” in B2.

Notice the equation took –5

from a2 and added 8 to it.

Type “=a3+8” in B3.

Type “=a4+8” in B4.

Type “=a5+8” in B5.

Type “=a6+8” in B6.

Type “=a7+8” in B7.

Type “=a8+8” in B8.

Type “=a9+8” in B9.

Type “=a10+8” in B10.

Type “=a11+8” in B11.

Type “=a12+8” in B12.

** Look at the equation, and what you typed.

y = x + 8

y = a2 + 8 “a2” pertains to the “x” value (so what ever cell has the value of “x”

for your equation, should be entered in the equation)

D. Formatting

Highlight Column Headers A and B by first clicking on A, then dragging to B. Click on the “Center” icon. All the values in columns A and B should now be centered.

E. To construct the graph of y = x + 8.

1. Highlight columns A and B (from the “x” in A1 to the “13” in B12) and click on the “INSERT” tab.

2. In Graph Types, click on SCATTER > and choose the scatter with straight lines and markers graph (2nd row 2nd graph)

3. You now have a nice table and graph for the equation y = x + 8.

F. Continue. You will now construct graphs for the remaining three equations given in Part B.

1. You will start your new table one row down from the previous table, so you will start at A14.

2. Follow the same instructions from Part C, EXCEPT this time:

For Step 1, type “y = x – 8” in B14 instead of “y = x + 8”.

3. Make a table with the same x-values of –5 to 5, and follow the instructions in Step 3 of Part C, making the appropriate adjustments.

G. Each time you have followed through to Part E, have your teacher check your work.

1. Ask your teacher how to use “copy” to copy the equation to other cells to cut your time.

WHEN YOUR TEACHER HAS CONFIRMED YOU TO PRINT, YOU MUST DO THE FOLLOWING BEFORE YOUR PRINT!

1) Click and drag each graph next to its table of values.

Click on the PRINT PREVIEW icon > SETUP > HEADER/FOOTER > CUSTOM HEADER > Call teacher to check.

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Kankolenski

Example of using the Geometers Sketchpad

Positive Slope

#1 (- 2, 5)

#2 (- 7, 1)

Check with photo to confirm

[pic]

Run = +5

[pic]

Rise = +4

m = [pic]

Example of using the Grid

If you do not finish in class and you cannot download “Geometers Sketchpad” at home you would then have to create a grid to complete the slope on your photos. I have one on my website (weebly) in word format

DO NOT TYPE the Quotation Marks… ONLY what is inside of them.

Do not shortcut here!

Do exactly as you are instructed to!

STOP

STOP

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