Pythagorean Theorem Lesson

Pythagorean Theorem Review

Some text here about the topic of discussion

Open Ended

What do you remember about Pythagoras' theorem

Multiple Choice

Pythagorean Theorem only works on one type of triangle. What kind of triangle does it have to be?

• Isosceles

• Right

• Equilateral

Hypotenuse- the longest side of a right triangle. This side is always "c"

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Legs- the two sides that create the right angle. "a" and "b"​

Sides of a Triangle

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Multiple Choice

Which side is the hypotenuse?

• this side

• that side

• this other side

This equation can help us find the missing side of a right triangle.

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We can also use it to determine if a triangle is a right triangle or not since it only works for right triangles. ​

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Multiple Choice

Which equation below is a correct interpretation of the Pythagorean Theorem for the right triangle pictured on the left? Remember, the hypotenuse is always the longest side of a right triangle.

• $$x^2+y^2=z^2$$  

• $$y^2+x^2=z^2$$  

• $$x^2+z^2=y^2$$  

• $$y^2+z^2=x^2$$  

Multiple Select

In the right triangle pictured on the left, which of the following equations will allow you to successfully solve for the unknown x?

• $$8^2-4^2=x^2$$  

• $$4^2+8^2=x^2$$  

• $$x^2-8^2=4^2$$  

• $$x^2+4^2=8^2$$  

Multiple Choice

In the right triangle pictured on the left, which of the following equations will allow you to successfully solve for the unknown x?

• $$12^2+16^2=x^2$$  

• $$12^2+x^2=16^2$$  

• $$16^2+x^2=12^2$$  

• $$x^2+12^2=16^2$$  

​ 1. Write your equation

2. Square your numbers

3. Combine like terms

4. Take the Square Root​

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Solving for the hypotenuse

1. Write the equation

2. Square your numbers

3. Subtract to get variable alone

4. Take the square root​

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Solving for a leg

Multiple Choice

Which equation would you use to solve for x?

• $$6^2+x^2=8^2$$  

• $$6^2+8^2=x^2$$  

• $$x^2+8^2=6^2$$  

Fill in the Blanks

Use the pythagorean theorem to find the missing side length.

Multiple Select

Which equation would you use to solve for x?

• $$13^2+x^2=5^2$$  

• $$5^2+13^2=x^2$$  

• $$x^2+5^2=13^2$$  

• $$13^2-5^2=x^2$$

Fill in the Blanks

Use the Pythagorean Theorem to solve for x.

Multiple Choice

Determine the length of the missing side.

• 7

• 8

• 17

• 23

Multiple Choice

Find the length of the missing side. 

• 48 in.
• 52 in.
• 16 in.
• 24 in.

Multiple Choice

Find side "h" (wall height)

• 35.60

• 35.00

• 35.71

• 61.03

Multiple Choice

^{Find the length of the missing side}

• 48

• 108

• 83.6

• 72

Poll

How confident do you feel answering Pythagoras' Theorem questions?

• Confident

• Somewhat confident

• Confident with basic questions only

• Not confident at all

Draw

Write your own Pythagoras' Theorem question. Draw a diagram.

Open Ended

I would like to record a video interview with you speaking about maths.

This video would be private. I would ask your consent before showing it to anyone.

This is for me to track the progress of Oracy in maths in our lessons (how it's improving over time).

Would you be interested in participating in being recorded?

(if you don't want to show your face, this is okay. We can record audio only).