Pythagorean Theorem
Mr. Harbeck was supposed to teach us a new unit, but he had an accident, and unfortunately forgot everything. So here's what I think the whole unit is about.
These are the four artifacts that were found in his backpack:
1) How are these artifacts linked?
Pythagoras figured out a theorem, which was a2+b2=c2. That's why it's called the Pythagorean Theorem. In his theorem, he used right triangles and squares to figure out some math problems.
Here are some vocabulary that was found on a piece of paper:
a) The legs are the two sides of a right triangle, that make a 90 degree angle.
The Pythagorean Theorem is a2+b2=c2. It's basically a formula to calculate a side of a right triangle. When using this theorem, you'll be dealing with triangles, squares, areas, perimeters, and square roots. If you read my post carefully, you'll understand, but if not, I recommend that you find more sources.
I think Mr. Harbeck cares about this unit, so we could be prepared for Grade 9 Math, next year. I also have a feeling that we're going to be dealing with this stuff in the future.
Problem #2
17 + 30.232 + 24.999 = 72.231 cm
5) Here's my video with Elmane. Zerlina's part of our group but she couldn't do it with us.
These are the four artifacts that were found in his backpack:
1) How are these artifacts linked?
a) The statue of a man's head is Pythagoras.
b) The shape with a little square in the corner, is called a right triangle.c) The square is simply, just a square.
- all sides are equal
- you could tell if all sides are equal if there are four ticks on them
- has 4 right angles
- has 4 sides
- has a line of symetry
- two right triangles make a square
d) The formula is called the Pythagorean Theorem.Pythagoras figured out a theorem, which was a2+b2=c2. That's why it's called the Pythagorean Theorem. In his theorem, he used right triangles and squares to figure out some math problems.
Here are some vocabulary that was found on a piece of paper:
a) legs
b) hypotenuse
c) R. A. T.
d) Greek
e) theorem
2) How could you use the vocabulary to explain the artifacts?
a) The legs are the two sides of a right triangle, that make a 90 degree angle.
b) The hypotenuse is the longest side of a right triangle, and/or the side that is opposite of the 90 degree angle.
c) A R. A. T. is a right angled triangle. Basically, a right triangle. (same thing)
d) Pythagoras is Greek.
e) Pythagoras' theorem is a2+b2=c2.
*label all three sides, a, b and c.*
3) What is the Pythagorean Theorem, and why does Mr. Harbeck care, in Grade 8 Math?
The Pythagorean Theorem is a2+b2=c2. It's basically a formula to calculate a side of a right triangle. When using this theorem, you'll be dealing with triangles, squares, areas, perimeters, and square roots. If you read my post carefully, you'll understand, but if not, I recommend that you find more sources.
I think Mr. Harbeck cares about this unit, so we could be prepared for Grade 9 Math, next year. I also have a feeling that we're going to be dealing with this stuff in the future.
4) Here are 2 problems that I'll show you how to solve:
Problem #1
This diagram shows the game plans for a game designed by Harbeck Toys INC. The board is made up of a square and 4 identical right triangles.
If the central square has an area of 225 square centimetres, what is the perimeter of the board game? 
Problem #2
What is the perimeter of the orange triangle?
17 + 30.232 + 24.999 = 72.231 cm
Thanks for reading my Pythagoras Post (:
Please leave a comment.5) Here's my video with Elmane. Zerlina's part of our group but she couldn't do it with us.
3 Responses to "Pythagorean Theorem"
I found another link for this topic.
Student easily understand pythagoras' theorem through 3D animation video.
http://www.designmate.com/video_designmate_maths.html
https://www.youtube.com/watch?v=YRdKI71tx-4
and
https://www.youtube.com/watch?v=li8g0FMD3wc
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