Wednesday, October 14, 2009

Prealgebra Work for Thu (10/15) and Fri (10/16)

Dear Emma, Alex, Cole, and Grace:



Today you are going to be learning more about geometric transformations online. Geometric Transformations occur when we use math to change a shape or an image in the coordinate plan. That means slide it, flip it, rotate it, stretch it, or even shrink it.

Yesterday you had a chance to learn a little bit about this topic by doing a card sort with definitions and images. You will eventually use those cards to make a “mini-foldable.” But for today, I want you to explore the topics of “translation” (slides), and “reflections” (flips) in more depth. There will be a handout/quiz for you to complete based on the online research you do today – so make sure that you use your time wisely.

When you are completely done reading through the online explanations, there is a quiz I want you to take in ALEKS. Please log in to your ALEKS account so that you can take the quiz. It includes integer problems as well as transformation problems. It will give me a good idea of how much you have understood about the math we have done so far.


Online activities for Thursday and Friday:


FIRST, watch the “transformation” movie at www.brainpop.com
Go to the brainpop site and log in (username “sevenarrows” , password “7arrows”)
Select MATH, select GEOMETRY AND MEASUREMENT, and then select the movie “TRANSFORMATIONS” (its near the bottom of the list).

After you have watched the movie, take the GRADED QUIZ, and print it to turn in to me on Friday.

Copy the following terms into your Graphing Journal, write their definitions (from watching the movie), and include an example of what you are talking about (click on the image and it will get bigger so you can read it):




After completing the Brainpop activities, you are ready to get MORE serious. You are ready to move on to the next online activity:

First, read the information at the following websites on REFLECTION:
http://www.regentsprep.org/regents/math/geometry/GT1/Lreflect.htm
http://www.regentsprep.org/regents/math/geometry/GT1/reflect.htm

Then, practice answering questions about REFLECTIONS:
http://www.regentsprep.org/regents/math/geometry/GT1/PracRefl.htm
http://www.regentsprep.org/regents/math/geometry/GT1/Prac1.htm

Next, read the information at the following websites on TRANSLATION:
http://www.regentsprep.org/regents/math/geometry/GT2/Ltrans.htm
http://www.regentsprep.org/regents/math/geometry/GT2/Trans.htm

Then, practice answering questions about TRANSLATIONS:
http://www.regentsprep.org/regents/math/geometry/GT2/PracTran.htm
http://www.regentsprep.org/regents/math/geometry/GT2/PracT.htm

That last PRACTICE website is quite challenging. Do not worry if you don’t understand all of the math that is explained there; we will go over some of it in class. However, do your best to STUDY the problems, flex your math muscle, and see if you can figure out what is happening in the problems. You may just be able to figure it out!

As you progress through these websites, I want you to take notes in your graphing journal. Here are the items that should be noted in your journal:

NOTES IN GRAPHING JOURNAL:

REFLECTIONS:

Definition of a Reflection
Properties of Reflections
Examples of Reflections
What math is used to create a reflection (in other words, what kind of math/calculations do you do to the coordinates of the “preimage” in order to get the “after image”?)


TRANSLATIONS:


Definition of a Translation
Properties of Translation
Examples of Translation
What math is used to create a Translation (in other words, what kind of math/calculations do you do to the coordinates of the “preimage” in order to get the “after image”?)


When you are finished with ALL OF THE ABOVE, you need to log into ALEKS to take the quiz. www.aleks.com

If you STILL have time left, you can continue to work on your (1) Comic Strip, (2) finish your mini-foldable on geometric transformations, or (3) work in ALEKS.

Lastly, please email me (abetts@sevenarrows.org ) at the end of the class period to tell me how far you have progressed through these assignments. This will help me know if I need to give you more time to work on this on Friday.

Thanks!


Anastasia

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