Roberta's Blog

Archive for March 2010

1. Interactivate: Translations, Reflections, and Rotations http://www.shodor.org/interactivate/lessons/Translations/

I thought this site could be very helpful for teachers who are not comfortable with using technology for instructing translations, reflections and rotations. The site provides a very detailed explanation of what the teacher should be discussing, guided practice, independent practice and how to close the lesson. I really thought the Transmographer site (http://www.shodor.org/interactivate/activities/Transmographer/ ) would be a great for teachers to use as a demonstration tool. I also think that students could then go back and use the site to further develop their understanding of the topics.

2. MathsNet: Transformations http://www.mathsnet.net/transform/index.html

This site intrigued me. It provides the student with the opportunity to observe the characteristics of the transformation, understand how the properties function, explore the characteristics in guided format and use the newly acquired knowledge to construct meaning. I would use this site as an inquiry site for the student to explore prior to the introduction of the unit.

3. GradeAmathHelp.com http://www.gradeamathhelp.com/transformation-geometry.html

This site provides a very basic definition for all of the transformation geometry terms. I can see this site being a resource for students who are absent when the topics are discussed in class. The definitions are very easy to understand and the illustrations are very easy for students to understand.

4. Transformation Golf http://www.mathsonline.co.uk/nonmembers/gamesroom/transform/golftrans.html  Post the Shapes http://www.mathsonline.co.uk/nonmembers/gamesroom/transform/postshape.html

These two sites caught my attention because they allow students to use what they know about transformations to complete an activity. I have been to some sites that are supposed to reinforce a skill in a game like environment but the students spend more time playing than actually using the newly acquired skill. This appeared to be different. The student must understand the properties of the different types of transformations in order to complete the activity. This site may be too easy for some students but I still think they would enjoy it. This site would be great for a day when a lot of students are out of the classroom (sickness, pictures, field trips, early dismissal prior to a holiday, etc.).   

5. Pilot Math 7: Transformations http://www.watchknow.org/Video.aspx?VideoID=16785

This is a short video that could be used as an introduction when starting the unit on transformation. I am not sure if junior high students would like it or not but I think that sixth grade students would enjoy it. I thought it was cute and to the point.

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What shapes did you start out with?

Platonic Solid Vertices Faces Edges
Cube 6 8 12
Tetrahedron 4 4 6

                   

What were the shapes after you truncated them?

Platonic Solid Vertices Faces Edges
from Cube 24 14 36
from Tetrahedron 12 8 18

 How can you set up this type of activity for your students?

I would provide the students with a variety of materials that could be used to create the solids. They would then be allowed to select the material that they would like to use. Once the material is selected the student would select which shape they would like to start with. I would have them complete a chart like the one above for their beginning shape. They would then be allowed to create their own truncated solid. Once they are finished they will complete the chart for the new shape. After everyone has finished their truncated shape we would have a class discussion. Since there are so many ways to create truncated solids the chances are high that everyone in the class will create a different one which would lead to a great discussion.

Do you think this is an activity that students will enjoy? Why do you think this is the case?

Students who enjoy puzzles would definitely like this activity. Anytime students can use their hands while learning they enjoy it. Students remember and learn more if they are actively involved. This activity gives the students a chance to prove to themselves that Eucler’s Formula works with all types of platonic solids.

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  • Judy: Roberta, The Transformational Golf is a new site for me. I haven't seen this one and can't wait to share it with others. Many students struggle w
  • bkgeary: I like the idea of letting the student pick the material. Students never fail to amaze me with the great ideas that they come up with. I think that
  • joshbeals: I love puzzles too! I liked your comments about quilting patterns. It's awesome when we see math in the things we choose to do with our free time.