Author: Kate Poirier (Page 3 of 6)

Midterm corrections

You may re-submit one of the four components of the midterm by Tuesday. Remember that you are to work on your own, without assistance from other humans or the internet.

Also remember, in order for your old grade for that component to be replaced by the grade for your re-submission, your re-submission must be perfect. Remember that we use the rubric here (and adapt it to individual tasks) to assign scores. “Perfect” means scores of 4 for each task, except GeoGebra #8, which is out of 2 only. In general, the difference between a 3 (proficient) and 4 (exemplary) has to do not necessarily with the correctness of the work itself, but its presentation. Make sure your work is clear, logical, and precise; be sure to proof-read it for clarity as well as for spelling and grammar.

Project #3

In class on Thursday, we discussed your next project on Maple. Presently, there are few rules for this assignment–you have a lot of freedom–but we will add details and rules if need be. The project is due the Tuesday after Thanksgiving. It must satisfy two conditions:

1. It must demonstrate knowledge and/or skills in the software itself. (For example, it must use both the computation and typesetting features, not just one or the other.)
2. It must use Maple in a “pedagogical” way. (This condition is somewhat vague, but you should ask yourself, “How am I using this as an instructional tool?)

Some ideas for your Maple project:

• lesson (like Project #1)
• In-class activity (like Project #2)
• Homework assignment
• In-class assessment

If you are not familiar with the software, you should spend some time playing around in it to see what it is capable of. Because the rules for the project are somewhat vague, be sure to discuss your idea with me before the due date.

Link

The test has four components. CHOOSE THREE OF THE FOUR TO COMPLETE. Read the instructions for each component carefully. While some components require the use of a computer with access to the internet, you may not access webpages other than the ones linked below and you may not communicate with your peers or anyone else during the test.

1. Geometry component

Answer the questions in the space provided on the paper. (Here’s a link link to the PDF if you’d like to view the paper on the computer.)

2. Written component

Click on this link to access the instructions and linked form. Do not submit until you are happy with your answers.

3. Desmos component

1. Click on this link to access the Desmos activity.
2. Do not sign into your Desmos account; enter your name when asked.
3. Complete the activity by answering the questions on each page. Your work is automatically saved. You will be able to go back and edit your previous answers during the test as long as you keep the browser tab open.

4. GeoGebra component

Complete using the GeoGebra desktop app. Save your response as a GeoGebra (.ggb) file with your name as its filename. Email your file as an attachment to kate.poirier@utoronto.ca. (Save a copy of your file for your records.)

1. Place 6 points A, B, C, D, E, F in the plane so that A, C, and E lie on one line and B, D, and F lie on another line.
2. Color the two lines black and color the 6 points A, B, C, D, E, F gray.
3. Create the lines and and color them red. Let L be their intersection point. Color the point L red.
4. Create the lines and and color them green. Let M be their intersection point. Color the point M green.
5. Create the lines and and color them blue. Let N be their intersection point. Color the point N blue.
6. Use the drag test to see how the configuration of lines and points changes as you move the free points around. Pay special attention to the points L, M, and N.
7. Make a conjecture about the relationship between the points L, M, and N. (Hint, it may be helpful to hide all the lines and perform the drag test again.) Create one text box containing the statement of your conjecture. Be explicit and precise. Use full sentences.
8. Does the drag test consist of a proof of your conjecture? Why or why not? Create a second text box containing your answer.

1. If you would like to update your GeoGebra dynamic worksheet based on your peers’ feedback, you have until Friday night at 11:59pm to do so.
2. Here is the 3D GeoGebra worksheet that I was showing in class today. You can download it to see what I entered where and to change the perspective to 3D glasses.
3. Josiel and Mei have kindly allowed me to share their HW #4 and #6 solutions. (Mei’s got cut off when I was scanning, but you can still see most of her steps.) HW #4  HW #6

1. Recall that HW #9 is due tonight.
2. As announced in class last week, your midterm on Thursday has 4 components:
   1. A Desmos activity to be completed online. Check out your classmates’ submissions for Project #1 for a review of the skills that will be necessary. You can also check out the graphing activities on this page (ignore the regression activities).
   2. A GeoGebra componet to be completed in the desktop app (not in the browser app); you’ll share your .ggb files with me. Check out your classmates’ submissions for Project #2 and review HW #8.
   3. A geometry component (review HW #2, HW#4, and HW#6).
   4. A written-response component (review HW #7).
3. Mei’s HW #2 was done very well and she graciously agreed to let me share her work with you. Pay special attention to how she presents her arguments (what she is assuming and what it implies). You can also see my comments.