TRANSFORMATION INVESTIGATION(SPRINGBOARD)

**You will be taking an investigatory approach to transformations. Below are a series of virtual stations that contain 'tutorials, videos, real world connections, how to and practice problems' relevant to our next Unit-Transformations. You will be in the computer lab for 2 class periods. This will be ample time for you to complete the stations. For example-*do not raise your hand and say you completed all the activities in thirty minutes. Remember-each station has a series of guided practice problems and videos. I have calculated the time that it should take to complete each station and it is a MINIMUM of 10-15 minutes per station. You should be able to choose 4 stations a day to work on. You should be watching the videos and completing the practice examples. After TUESDAY (our last day in the lab) there**

__will be an assessment__

**on information discovered during your two periods in the lab. It is critical you READ through the prompts, WATCH the videos, COMPLETE the practice activities. The effort that you put into your learning will determine YOUR growth and level of understanding for this UNIT.**

__You are responsbile for your learning__

**. I am here to assist. GOOD luck. :0)**

**ACTIVITY 1-REFLECTIONS**

**1st**Go to the link below and practice locating the line of reflectional symmetry.

Work on "AXIS OF SYMMETRY" ONLY.

Directions: Read prompt above picture. Answer Question to the right of the picture. If you get the question correct a smiley face will appear on the CLICK NEXT. Complete the questions until you reach the point screen that says PRACTICED> (about ten questions). This is minimum, you can always continue.

IF you need a hint. Click hint button and then scroll down to read the hint given below picture. Then answer again. You do not have to complete all questions.

*(if the prompt comes up that you have successfully completed the session. Click that you want to continue to work on the same prompt*__http://www.khanacademy.org/math/geometry/transformations/e/axis_of_symmetry__

ACTIVITY 2-Translations

Vocabulary - VECTOR - a ray that shows direction and distance the image will translate (slide).

**1st**Go to the link below and practice locating the line of translational symmetry. Work on "TRANSLATIONS of POLYGONS" ONLY. Directions: Read prompt above picture. Answer Question to the right of picture. (complete a minimum of 5 correct, it will prompt you wiht PRACTICED complete)IF you need a hint. Click hint button and then scroll down to read the hint given below picture. Then answer again. You do not have to complete all questions.

*(if the prompt comes up that you have successfully completed the session. Click that you want to continue to work on the same prompt so that the NEXT group of students will have access to the activity.)*

*Pay close attention to the hints. These will help you later*__http://www.khanacademy.org/math/geometry/transformations/e/translations_of_points_and_polygons__

watch the video below

__http://www.youtube.com/watch?v=4g5uRFzIYBM&list=EC1C537F4A57B3F09B__

ACTIVITY 3-ROTATIONS

**1st**Go to the link below and practice locating the line of rotational symmetry. Work on "ROTATION of POLYGONS" ONLY. Directions: Read prompt above picture. Answer Question to the right of picture. IF you need a hint. Click hint button and then scroll down to read the hint given below picture. Then answer again. You do not have to complete all questions.

*(if the prompt comes up that you have successfully completed the session. Click that you want to continue to work on the same prompt.*

*You must be very exact when rotating the figure. Pay close attention to the hints. These will help you later*__http://www.khanacademy.org/math/geometry/transformations/e/rotation_of_polygons3__

__http://www.virtualnerd.com/pre-algebra/geometry/transformations-symmetry/rotating-figures/__

ACTIVITY 4-DILATIONS

Vocabulary - Dilation- animated definition -

__http://www.mathopenref.com/dilate.html__

If you have finished. Look ahead to how dilations and scale factors affect perimeter and area of the figure.

__http://illuminations.nctm.org/ActivityDetail.aspx?ID=176__

ACTIVITY 5-REAL WORLD TRANSFORMATIONS

STATION 5 Real World Transformations

Station 5 Real World Transformation

**1st**Read Information Below and check out the pictures.

**These are screen shots from a computer aided design software called autodesk inventor. Its a 3d modeling software. What you are looking at are 1500 ton chillers. These are used to cool water used for Intels manufacturing plant in Arizona. A common feature in this software is the mirror function. The mirror line is directly down the center of the picture. The chillers are not mirrored the piping is mirrored. Instead of creating all the piping only half of the piping needs to be designed then the other half can be mirrored. The mirror tools saves hours of engineering time. Each chiller weighs 50,000 lbs and cost $250,000 a piece. The total cost of the job is over 10 million dollars.**

**The chillers have water that flows through them. The water is cooled down to 41 degrees Fahrenheit. That water is pumped to air handling units on the roof. The air handling units on the roof consist of many copper coils that the water flows through. A fan blows over the coils and creates cold air. This cold air is ducted to the building and cools the Manufacturing plant. This is how most commercial buildings are air conditioned.**

**Optometrists and Optomologist use dilation when examining the eye.**

**2nd**Watch Video link "Real World Transformation Video" under class files

__http://www.campbellcountyschools.org/olc/class.aspx?id=32455&s=1287__

ACTIVITY-PROTRACTOR REVIEW Station 8 Protractors

When rotating figures in the transformation unit you may be asked to determine the angle of rotation or to rotate a figure given a degree of rotation.

Therefore you need to be able to use a protractor to measure an angle or read a protractor.

This station is a review. If you complete activities 1-6

__than you may choose to review measuring angles using a protractor or go to other tabs on the website below to increase your knowledge of angle relationship in geometry.__

**successfully**1st Go to link and use virtual protractor to practice (scroll down and press START. Take turns doing the activity.

__http://www.mathplayground.com/measuringangles.html__

OR

2nd Visit the link, play video and learn even more about angles...

__http://www.khanacademy.org/math/geometry/angles/v/complementary-and-supplementary-angles__

**3rd Visit the link, and practice the Intermediate Test Prep for Transformations by answering the various questions**

__http://www.ixl.com/math/geometry__

__http://www.innovationslearning.co.uk/subjects/maths/activities/year3/symmetry/shape_game.asp__

__http://www.flashymaths.co.uk/swf/rsymmetry.swf__

__http://www.kidsmathgamesonline.com/geometry/transformation.html__