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Tuesday, January 27, 2015

Manipulatives that Assist Students in Thinking about Similar and Congruent

I have several sets of these  32 MiniRelational GeoSolids.  I mix them all together when we do an activity in which students sort the shapes into groups that illustrate the characteristics of similar and congruent.  There are very few manipulatives that help students think about the difference between the properties of these two concepts. 

In grades 4-6 you can also introduce the mathematical symbols for congruent and similar:

congruent Congruent (same shape and size)

similar Similar (same shape, different size)

How about having that mathematically talented group of students in your class create an anchor chart for the class that compares the properties of congruent and similar.  


Sunday, January 25, 2015

3 -Dimensional Sort

This afternoon at our house was a lazy, snowy day. I decided to challenge my granddaughter, who is in 2nd Grade, to a 3-Dimensional Sort Challenge. 
This a great activity to do with a small group of students during Guided Math. 

 Using a set of 32 MiniRelational GeoSolids

and a set of cards labeled: cone, pyramid, prism, and  cylinder.

Earlier in the weekend, we built prisms and pyramids out of toothpicks and playdough.
We talked about what made 3-D shapes 
either a prism or pyramid.  

So when I gave her the bag of 32 shapes and asked her to categorize them, I did not review any concepts... 
she was just given the task. 

The first time around she made 2 common errors:
1) she categorized the hexagonal prisms as a cylinders.
2) she categorized the triangular prisms as a pyramids.

Why?  Probably because she was never exposed to these shapes before and did not deeply understand the "the characteristics" of the different types of 3-D shapes.  As we reviewed each category 
of 3- D shapes, we again talked about what she looked for when she was looking at each shape.

Cone- "Only 1 face at the bottom, and a vertex at the top of the shape."
Cylinder- "2 faces with curved sides. No vertex at all."
Prism - Faces- there can be a different number of them, and vertices."
Pyramid - " One vertex at the top, straight sides, and a bottom."

After our discussion I place all the shapes back into a plastic bag and asked her if she wanted to try again.  WITH THE INCENTIVE OF EARNING A DOLLAR IF SHE COULD CATEGORIZE THEM ALL CORRECTLY!

She is now $1.00 richer!


Wednesday, December 17, 2014

Using Multiplication Comparisons to Convert Measurements

I made these bookmarks for a teacher to illustrate  how multiplication comparisons are used when converting measurements.  

Would you like a copy?  I can put them in my Google Docs file and add a link if you think you would use them.


Freeze and Dance While Learning Number Sequencing

Active kids love activities like this!
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