3) becoming pythagoras...0.p2 discoveringpythagoras.notebook 11 september 05, 2017 on the given dot...
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0.P2
DiscoveringPythagoras.notebook0.P2 DiscoveringPythagoras.notebook
0.P2 DiscoveringPythagoras.notebook
• No perfect square factors (other than 1) in the radicand.
• No fractions in the radicand.
• No radicals in the denominator of the fraction.
there are no perfect squares in the radicand there are no fractions in the radicand there is no radical in the denominator (we're not going to deal with this for now)
0.P2 DiscoveringPythagoras.notebook
September 05, 2017
Simplified? there are no perfect squares in the radicand there are no fractions in the radicand there is no radical in the denominator (we're not going to deal with this for now)
fully simplified not fully simplified
√ 63 6 36√
And Book Distribution!
September 05, 2017
Handout: Discovering Pythagoras
Right triangles are special, they have certain properties that make them so, which will learn more about today.
What do we already know about right triangles?
Leg
Leg
Hypotenuse
September 05, 2017
On the given dot paper, sketch a right triangle with the given leg lengths: Leg 1 = 1 unit and Leg 2 = 1 unit.
Then draw a square on each side of the triangle. Show your sketch to a neighbor to see if you agree.
Use the dot paper to create 3 other right triangles (with differing leg lengths) and study the relationship between their areas.
0.P2 DiscoveringPythagoras.notebook
September 05, 2017
A conjecture is a generalization about a pattern you think might be true, but that you do not yet know for sure is true.
Look at your completed table and state a pattern that you see.
Make a conjecture about the areas of squares that are drawn on the sides of any right triangle. Write it down and then share it with your tablemates.
0.P2 DiscoveringPythagoras.notebook
The scarecrow gets a brain...?
The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side.
September 05, 2017
Is a triangle with leg lengths 3 and 7, and a hypotenuse of radical 56 a right triangle?
0.P2 DiscoveringPythagoras.notebook
0.P2 DiscoveringPythagoras.notebook
0.P2 DiscoveringPythagoras.notebook
SMART Notebook
Attachments Page 1
0.P2 DiscoveringPythagoras.notebook
• No perfect square factors (other than 1) in the radicand.
• No fractions in the radicand.
• No radicals in the denominator of the fraction.
there are no perfect squares in the radicand there are no fractions in the radicand there is no radical in the denominator (we're not going to deal with this for now)
0.P2 DiscoveringPythagoras.notebook
September 05, 2017
Simplified? there are no perfect squares in the radicand there are no fractions in the radicand there is no radical in the denominator (we're not going to deal with this for now)
fully simplified not fully simplified
√ 63 6 36√
And Book Distribution!
September 05, 2017
Handout: Discovering Pythagoras
Right triangles are special, they have certain properties that make them so, which will learn more about today.
What do we already know about right triangles?
Leg
Leg
Hypotenuse
September 05, 2017
On the given dot paper, sketch a right triangle with the given leg lengths: Leg 1 = 1 unit and Leg 2 = 1 unit.
Then draw a square on each side of the triangle. Show your sketch to a neighbor to see if you agree.
Use the dot paper to create 3 other right triangles (with differing leg lengths) and study the relationship between their areas.
0.P2 DiscoveringPythagoras.notebook
September 05, 2017
A conjecture is a generalization about a pattern you think might be true, but that you do not yet know for sure is true.
Look at your completed table and state a pattern that you see.
Make a conjecture about the areas of squares that are drawn on the sides of any right triangle. Write it down and then share it with your tablemates.
0.P2 DiscoveringPythagoras.notebook
The scarecrow gets a brain...?
The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side.
September 05, 2017
Is a triangle with leg lengths 3 and 7, and a hypotenuse of radical 56 a right triangle?
0.P2 DiscoveringPythagoras.notebook
0.P2 DiscoveringPythagoras.notebook
0.P2 DiscoveringPythagoras.notebook
SMART Notebook
Attachments Page 1