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Pythagorean Theorem

By Lonnie Myers
Last updated over 4 years ago
12 Questions
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Pythagorean Theorem

Students will Understand and apply the Pythagorean Theorem.

CCSS.MATH.CONTENT.8.G.B.6 Explain a proof of the Pythagorean Theorem and its converse.
CCSS.MATH.CONTENT.8.G.B.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
CCSS.MATH.CONTENT.8.G.B.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Pythagorean theorem is a theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

Exploring Pythagorean Theorem.

Each of the next 3 videos presents information about the Pythagorean Theorem.

https://youtu.be/OluCdrAXje4
https://youtu.be/l8-bnZh8Zuc
https://youtu.be/dl6Iw1X4NQo

Your turn. Complete the What's the length of the hypotenuse activity (https://www.mathgames.com/skill/8.57-pythagorean-theorem-find-the-hypotenuse)

The two shortest sides of a right triangle are called the legs, and the longest side is called the hypotenuse.

Use Desmos-powered geoboards to explore length and to further develop your proficiency with the Pythagorean theorem

I completed the desmos geoboards activity

😎Choose an Emoji which best reflects your success in finding the length of the hypotenuse. 😉

Link for Ipad Users
Link for Windows users


Finding the side length (leg) of a right triangle


https://youtu.be/YlDfGFBNPmA

Use Pythagorean Theorem to find the side length (leg) of a right triangle below



Determine the length of the unknown side of the right triangle.

Circle the facial expression which best reflects your success with finding the side length of a leg of a right triangle

Screencast of shortcut for finding a leg when given a a leg and hypotenuse is needed.


https://www.educreations.com/lesson/view/square-root-of-differences-of-squares/54688826/?ref=link

Scott and Mark are rock climbing.  Scott is at the top of a 75‑foot cliff, when he throws a 96‑foot rope down to Mark, who is on the ground below.  If the rope is stretched tightly from Mark’s feet to Scott’s feet, how far from the base of the cliff (directly below Scott) is Mark standing?  Draw a diagram and label it.  Then find the missing length.  Is the length irrational?

Can knowing Pythagorean Triples help when determining the unknown sides of Right triangles?

Learn more about Pythagorean Triples

https://youtu.be/F9YtVqyps1s
Optional Pythagorean Triple practice. All Triangles are multiples of the 3,4,5 triple

Independent practice and feedback.

Please complete IXL R3 Pythagorean theorem: find the perimeter.
Important note. Once find the length of the unknown side be sure and add it to the other sides before entering your answer
Proving Pythagorean Theorem.

https://youtu.be/YompsDlEdtc

Check out some cool student proofs of Pythagorean Theorem

https://youtu.be/CAkMUdeB06o

https://youtu.be/uaj0XcLtN5c
You can determine whether or not a triangle is a right triangle, acute triangle, or obtuse triangle by using the Converse of Pythagorean Theorem

https://youtu.be/5xF4koIkUxE

tUse The converse of the Pythagorean theorem to determine what type of triangle will be formed given three side lengths. Then match the slide lengths to the type of triangle that is formed.

Right Triangle
Acute
Obtuse
Can't form a triangle
Can 3 Side Lengths Form a Triangle?
https://youtu.be/LxD0uu-pkCg
You just learned about the Triangle Inequality Theorem.
Watch the video below before attempting the next problem

https://youtu.be/BiagrTl2y4o

Determine if the side lengths will form a triangle.

  • 3 in, 5 in 8 in
  • 5 cm, 7 cm, 15 cm
  • 3 cm, 10 cm, 11 cm
  • 1 yrd, 3, yrds, 9 yrds
  • 2 ft, 10 ft, 11 ft
  • Forms a triangle
  • Won't form a triangle

Extended learning. Finding distance using the Pythagorean Theorem?

What's the distance between the two points

Review how to find the distance given 2 points on a coordinate grid and check you answer.

Independent practice and feedback

Complete one of the finding the distance between to points
IXL: N.4 Find the distance between two points
MathGames: Find the Distance between Two Points (may not work or Ipad)

True or False. I completed the Desmos or Math Games activity. If true, circle the one you completed

Exploring what you learned.

Now lets put it all together
Please complete the Desmos activity Pythagorean Theorem

I completed the Desmos Pythagorean Theorem Activity

Circle the emoji which best reflects your overal understanding of Pythagorean Theorem.

Show What you Know Tic-Tac-Toe

Now that you've successfully completed all three Go Formatives return to Schoology Learn more about your final assignments