Soon he will be doing systems of equations where all three equations have all three variables and he has to eliminate to solve them but we aren't there yet; however, this is where we are going:

3x + 2y + 4z = 9

-x + 3y + 2z = 1

4x - 5y - z = 3

For now he is doing problems like this:

L + T +3D = 8

T + 3D = 14

L + 2D = 0

There are a lot of intermediary steps between those two sets of problems. Steps that are

**ENTIRELY ABSENT**in modern day text books. Now they give you three or four examples a few rules and some process and "off you go...and hey graph it while you're at it even though this is your first exposure to a "Z" axis."

Here are several vids strung together with my poor (but improving) editing skills:

For those pressed for time here is a short video covering just the one problem shown above:

To see how we started off and why I'm using L, T and D check out this post Simple Systems Of Equations.

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ReplyDeleteWe had so much fun doing these. I may have moved too fast though. My 11 year old said, "you broke my brain." ;)

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