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Monthly Archives: November 2012

How many rectangles?

How many rectangles do you see?

This was a problem from Bruce’s homework last week. He answered the question correctly by labeling each rectangle and listing them out, all by himself.

After I checked his answer, I thought “Wow!  This would have been so much easier on a geoboard.”

Then I forced him to watch me solve the problem and endured listening to him say “Moooooom!”

And yet you listen to me without the dram.  You gotta love blogging….

So here it goes on the geoboard.  In that first picture you can see the five squares right?  Since squares are also rectangles, those are numbers 1, 2, 3, 4, and 5.  Then we’ve got:

#6


#7

#8

#9

#10


and #11

Who Was John Galt’s Mother?

My “I Brake for Moms” column in the Sunday Herald.  Check me out in The Good Life Section!

Trick or treat?

For those of you who live in Florida with screened in backyards, this is for you!  What you’re looking at is the big leaf maple in my backyard.

Jenna and Bruce are now both down with croup.  So I will be signed off from blogging until Sunday, when I’ll share the link to my “I Brake for Moms” column.  In the meantime, I have to muster the energy to rake leaves.

More Triangles on Geoboards

Check out this blue Isosceles triangle.

To find out the area of this blue triangle we could (and will eventually) use the standard formula.  But first let’s do some cool stuff!

Let’s figure out the area of the rectangle that triangle is in.  Easy, right?  The area of the rectangle is 8.

Or maybe I might want to look at it this way.  Now I’ve spliced the blue triangle in half.  I can see that I’ve ended up creating four congruent right triangles.

Now I have a lot of information.

If I wanted to, I could even turn this into an algebra problem.

Y + Y + B = 8

B = Y +Y

Y + Y + Y + Y = 8

2 = 8

B = 2 + 2

Or, I could go back to the traditional formula.

area of the blue triangle = 1/2(2 X 4) = 4

Geometry, multiplication, fractions and algebra all in one lesson?

Yup!  Geoboards are awesome.