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Using Manipulatives in Geometry

presentation for NCTM

chris mikles

on 25 September 2017

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Transcript of Using Manipulatives in Geometry

Manipulatives in Geometry
Height Lab
You are getting sleepy
Shape Factory
Is there more to this circle?
Place a hinged mirror on a piece of colored paper where the ends of the mirror hang over the same edge of the paper. Explore the polygons that you see-number of sides, measure of the angle of the mirror...
Take out the 2 strings, one a loop and the other a plumb. Make a triangle out of the loop. Two fingers from one person should be at the base vertices. Using a pencil, hang the plumb from the apex of the triangle. Look at the height when the triangle is acute, obtuse and a right triangle.
Link 2 rubberbands together. Draw a small shape on the piece of paper. Follow the directions for enlarging your shape.
Draw a 1-2" triangle on a piece of paper then trace it on a piece of patty paper. Now, follow the directions.
Legend has it that if you stare into someone's eyes in a special way, you can hypnotize them into squawking like a chicken. Here's how it works.
Take your paper plate and make it as flat as you can, then wait for directions.
Place a mirror on the floor. Your victim has to stand exactly 200 cm away from the mirror and stare into it. The only tricky part is that you need to figure out WHERE you have to stand so that when you stare into the mirror, you are also staring into the victim's eyes. If your calculations are correct and you stand at the exact distance, your victim will squawk like a chicken!
Some challenges:
Create a regular hexagon
Create an equilateral triangle at least 2 different ways
Create a rhombus that is not a square
Create a circle
Hold a 90° hinged mirror at arm’s length and find your own image. Now close your right eye. Which eye closes in the mirror? Look back at the diagram from problem 2- 46. Can you explain why this eye is the one that closes?
Laser Pointer and angles
CCSSM Practices
Today became a great day when you joined us!
Please sit with another person as you will need a partner for some activities
Draw a picture of this situation.
Label the vertices and
sides. Rotate your triangle around the midpoint of a side and trace the triangle so that you have a new figure/shape.Make sure to mark up the shape with the maching marks. Repeat this for each side.
Start again with tracing the original triangle and reflecting over a side. Marking what you know. Repeat by drawing the triangle again and now reflecting over another side. Repeat with the third side.
Full transcript