pythagorean triples - long beach unified school · ppt file · web...
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![Page 1: Pythagorean Triples - Long Beach Unified School · PPT file · Web view · 2015-11-02Pythagorean Triples Beat the Computer Drill What are Pythagorean Triples? Three integers that](https://reader031.vdocuments.net/reader031/viewer/2022021417/5aa79af57f8b9a294b8c537f/html5/thumbnails/1.jpg)
Becky Afghani, LBUSD Math Curriculum Office, 2004
Pythagorean Triples
Beat the Computer Drill
![Page 2: Pythagorean Triples - Long Beach Unified School · PPT file · Web view · 2015-11-02Pythagorean Triples Beat the Computer Drill What are Pythagorean Triples? Three integers that](https://reader031.vdocuments.net/reader031/viewer/2022021417/5aa79af57f8b9a294b8c537f/html5/thumbnails/2.jpg)
Becky Afghani, LBUSD Math Curriculum Office, 2004
What are Pythagorean Triples?
• Three integers that make the equation a2 + b2 = c2 true are called Pythagorean Triples.
• The numbers 3, 4 and 5 are a very famous Pythagorean Triple.
a2 + b2 = c2
32 + 42 = 52
9 + 16 = 25
![Page 3: Pythagorean Triples - Long Beach Unified School · PPT file · Web view · 2015-11-02Pythagorean Triples Beat the Computer Drill What are Pythagorean Triples? Three integers that](https://reader031.vdocuments.net/reader031/viewer/2022021417/5aa79af57f8b9a294b8c537f/html5/thumbnails/3.jpg)
Becky Afghani, LBUSD Math Curriculum Office, 2004
Why Memorize Pythagorean Triples?
• Remember how much time it took to figure out 8 x 8 before you memorized it? (8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 64)
• Think of all the work involved to solve this problem:
a2 + b2 = c2
32 + 42 = x2
9 + 16 = x2
25 = x2
5 = x
Wouldn’t it be nice
to just know this is 5?
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Becky Afghani, LBUSD Math Curriculum Office, 2004
Good Pythagorean Triples to Memorize:
And multiples of each, like:3x2, 4x2, 5x26 8 10
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Becky Afghani, LBUSD Math Curriculum Office, 2004
Directions:• The following slides show common
Pythagorean Triples. It is faster to recognize these triples on sight than to apply the Pythagorean Theorem.
• When the right triangle appears, SAY ALOUD the length of the missing side. Try to beat the computer by saying the answer BEFORE it appears in 8 seconds.
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
x 2 x 2 x 2
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
x 10 x 10 x 10
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
x 6 x 6 x 6
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
x .1 x .1 x .1
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
x 9 x 9 x 9
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
x 5 x 5 x 5
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
x 8 x 8 x 8
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
x 3 x 3 x 3
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
x 7 x 7 x 7
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Becky Afghani, LBUSD Math Curriculum Office, 2004
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Becky Afghani, LBUSD Math Curriculum Office, 2004
x 4 x 4 x 4
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Becky Afghani, LBUSD Math Curriculum Office, 2004
Way to Go!!