The Pythagorean Theorem Essential Question How can you
![The Pythagorean Theorem Essential Question? How can you prove the Pythagorean Theorem and use The Pythagorean Theorem Essential Question? How can you prove the Pythagorean Theorem and use](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-1.jpg)
![Common Core Standard: 8. G ─ Understand apply the Pythagorean Theorem. 6. Explain a Common Core Standard: 8. G ─ Understand apply the Pythagorean Theorem. 6. Explain a](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-2.jpg)
![Objectives: • To prove and use the Pythagorean Theorem. Objectives: • To prove and use the Pythagorean Theorem.](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-3.jpg)
![Curriculum Vocabulary Area (área): The number of square units needed to cover a given Curriculum Vocabulary Area (área): The number of square units needed to cover a given](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-4.jpg)
![Curriculum Vocabulary OTE LEG NUS E LEG HYP LEG Hypotenuse (hipotenusa): In a right Curriculum Vocabulary OTE LEG NUS E LEG HYP LEG Hypotenuse (hipotenusa): In a right](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-5.jpg)
![Curriculum Vocabulary Diagonal of a rectangle or square : A diagonal of a rectangle/square Curriculum Vocabulary Diagonal of a rectangle or square : A diagonal of a rectangle/square](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-6.jpg)
![The Pythagorean Theorem In a RIGHT TRIANGLE, the two sides that form the right The Pythagorean Theorem In a RIGHT TRIANGLE, the two sides that form the right](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-7.jpg)
![The Pythagorean Theorem • The Pythagorean Theorem •](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-8.jpg)
![The Pythagorean Theorem • The Pythagorean Theorem •](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-9.jpg)
![The Pythagorean Theorem • The Pythagorean Theorem •](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-10.jpg)
![Proof of the Pythagorean Theorem Proof of the Pythagorean Theorem](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-11.jpg)
![Using the Pythagorean Theorem Find the length of the missing side: Using the Pythagorean Theorem Find the length of the missing side:](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-12.jpg)
![Using the Pythagorean Theorem Find the length of the missing side: Using the Pythagorean Theorem Find the length of the missing side:](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-13.jpg)
![Using the Pythagorean Theorem Find the length of the missing side: Using the Pythagorean Theorem Find the length of the missing side:](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-14.jpg)
![Using the Pythagorean Theorem Find the length of the missing side: Using the Pythagorean Theorem Find the length of the missing side:](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-15.jpg)
![Pythagorean Theorem in Three Dimensions A box used for shipping narrow copper tubes measures Pythagorean Theorem in Three Dimensions A box used for shipping narrow copper tubes measures](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-16.jpg)
![Pythagorean Theorem in Three Dimensions A box used for shipping narrow copper tubes measures Pythagorean Theorem in Three Dimensions A box used for shipping narrow copper tubes measures](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-17.jpg)
![Pythagorean Theorem in Three Dimensions Tina ordered a replacement part for her desk. It Pythagorean Theorem in Three Dimensions Tina ordered a replacement part for her desk. It](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-18.jpg)
![Pythagorean Theorem in Three Dimensions Tina ordered a replacement part for her desk. It Pythagorean Theorem in Three Dimensions Tina ordered a replacement part for her desk. It](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-19.jpg)
- Slides: 19
![The Pythagorean Theorem Essential Question How can you prove the Pythagorean Theorem and use The Pythagorean Theorem Essential Question? How can you prove the Pythagorean Theorem and use](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-1.jpg)
The Pythagorean Theorem Essential Question? How can you prove the Pythagorean Theorem and use it to solve problems? 8. G. 6, 8. G. 7, 8. G. 8
![Common Core Standard 8 G Understand apply the Pythagorean Theorem 6 Explain a Common Core Standard: 8. G ─ Understand apply the Pythagorean Theorem. 6. Explain a](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-2.jpg)
Common Core Standard: 8. G ─ Understand apply the Pythagorean Theorem. 6. Explain a proof of the Pythagorean Theorem and its converse. 7. Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. 8. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
![Objectives To prove and use the Pythagorean Theorem Objectives: • To prove and use the Pythagorean Theorem.](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-3.jpg)
Objectives: • To prove and use the Pythagorean Theorem.
![Curriculum Vocabulary Area área The number of square units needed to cover a given Curriculum Vocabulary Area (área): The number of square units needed to cover a given](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-4.jpg)
Curriculum Vocabulary Area (área): The number of square units needed to cover a given surface. Right Angle (ángulo recto): An angle that measures 90˚. Right Triangle (triángulo recto): A triangle containing a right angle. Square Root (raíz cuadrado): A number that is multiplied by itself to form a product is called a square root of that product.
![Curriculum Vocabulary OTE LEG NUS E LEG HYP LEG Hypotenuse hipotenusa In a right Curriculum Vocabulary OTE LEG NUS E LEG HYP LEG Hypotenuse (hipotenusa): In a right](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-5.jpg)
Curriculum Vocabulary OTE LEG NUS E LEG HYP LEG Hypotenuse (hipotenusa): In a right triangle, the side opposite the right angle. It will always be the longest side of a right triangle. Legs (catetos): In a right triangle, the sides that are adjacent to the right angle. In an isosceles triangle, the pair of congruent sides. Theorem (teorema): A mathematical statement that has been proven true through the use of definitions, axioms, and other proven theorems.
![Curriculum Vocabulary Diagonal of a rectangle or square A diagonal of a rectanglesquare Curriculum Vocabulary Diagonal of a rectangle or square : A diagonal of a rectangle/square](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-6.jpg)
Curriculum Vocabulary Diagonal of a rectangle or square : A diagonal of a rectangle/square is a line segment connecting opposite vertices of the rectangle/square.
![The Pythagorean Theorem In a RIGHT TRIANGLE the two sides that form the right The Pythagorean Theorem In a RIGHT TRIANGLE, the two sides that form the right](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-7.jpg)
The Pythagorean Theorem In a RIGHT TRIANGLE, the two sides that form the right angle are the LEGS. The side opposite the right angle is the HYPOTENUSE. LEG HYP OTE NUS E LEG
![The Pythagorean Theorem The Pythagorean Theorem •](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-8.jpg)
The Pythagorean Theorem •
![The Pythagorean Theorem The Pythagorean Theorem •](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-9.jpg)
The Pythagorean Theorem •
![The Pythagorean Theorem The Pythagorean Theorem •](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-10.jpg)
The Pythagorean Theorem •
![Proof of the Pythagorean Theorem Proof of the Pythagorean Theorem](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-11.jpg)
Proof of the Pythagorean Theorem
![Using the Pythagorean Theorem Find the length of the missing side Using the Pythagorean Theorem Find the length of the missing side:](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-12.jpg)
Using the Pythagorean Theorem Find the length of the missing side:
![Using the Pythagorean Theorem Find the length of the missing side Using the Pythagorean Theorem Find the length of the missing side:](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-13.jpg)
Using the Pythagorean Theorem Find the length of the missing side:
![Using the Pythagorean Theorem Find the length of the missing side Using the Pythagorean Theorem Find the length of the missing side:](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-14.jpg)
Using the Pythagorean Theorem Find the length of the missing side:
![Using the Pythagorean Theorem Find the length of the missing side Using the Pythagorean Theorem Find the length of the missing side:](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-15.jpg)
Using the Pythagorean Theorem Find the length of the missing side:
![Pythagorean Theorem in Three Dimensions A box used for shipping narrow copper tubes measures Pythagorean Theorem in Three Dimensions A box used for shipping narrow copper tubes measures](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-16.jpg)
Pythagorean Theorem in Three Dimensions A box used for shipping narrow copper tubes measures 6 inches by 20 inches. What is the length of the longest tube that will fit in the box, given that the length of the tube must be a whole number of inches?
![Pythagorean Theorem in Three Dimensions A box used for shipping narrow copper tubes measures Pythagorean Theorem in Three Dimensions A box used for shipping narrow copper tubes measures](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-17.jpg)
Pythagorean Theorem in Three Dimensions A box used for shipping narrow copper tubes measures 6 inches by 20 inches. What is the length of the longest tube that will fit in the box, given that the length of the tube must be a whole number of inches?
![Pythagorean Theorem in Three Dimensions Tina ordered a replacement part for her desk It Pythagorean Theorem in Three Dimensions Tina ordered a replacement part for her desk. It](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-18.jpg)
Pythagorean Theorem in Three Dimensions Tina ordered a replacement part for her desk. It was shipped in a box that measures 4” X 14”. What is the greatest length in whole inches that the part could have been?
![Pythagorean Theorem in Three Dimensions Tina ordered a replacement part for her desk It Pythagorean Theorem in Three Dimensions Tina ordered a replacement part for her desk. It](https://slidetodoc.com/presentation_image/0e1790a61872c08319b6fce09173f37c/image-19.jpg)
Pythagorean Theorem in Three Dimensions Tina ordered a replacement part for her desk. It was shipped in a box that measures 3 X 5 X 11. What is the greatest length in whole inches that the part could have been? 3 ft 5 ft 11 ft
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