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Explore the Pythagorean Theorem with this story task that is a play on a timeless pirate tale.  The crew of "The Deceit" can gain amnesty with your help!  Solve a variety of challenging Pythagorean tasks and find your way to the "Chest of Broken Souls."  As a pirate, you will apply your problem solving and critical thinking skills to help put an end to the notorious Davy Drake's reign.

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Skill 1: Perfect Squares

To square a number: multiply it by itself.

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Skill 2: Square Roots of Perfect Squares

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A square root goes the other way:

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A square root of a number is ...

... a value that can be multiplied by itself to give the original number.

A square root of 9 is ...

... 3, because when 3 is multiplied by itself we get 9.

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Skill 3: Estimating Square Roots of Non-Perfect Squares

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It is easy to work out the square root of a perfect square, but it is really hard to work out other square roots.

VIDEO LESSON

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1

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Directions: Utilizing the video lesson and the notes provided, answer the following questions. Attached in your Google Classroom is a Google Doc that you will enter your answers. Enter your answers in the tables provided within the document.

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Skill 4: Calculating the Hypotenuse when two legs are given in a right triangle.

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Over 2000 years ago there was an amazing discovery about triangles:

When a triangle has a right angle (90°) ...

... and squares are made on each of the three sides, ...

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... then the biggest square has the exact same area as the other two squares put together!

Video Lesson

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2

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Directions: Utilizing the video lesson and the notes provided, answer the following questions. Attached in your Google Classroom is a Google Doc that you will enter your answers. Enter your answers in the tables provided within the document.

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Skill 5: Calculating the length of a leg when a leg and the hypotenuse are given in a right triangle.

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Video Lesson 1

Video Lesson 2

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So hmmmm..... What do we do if the hypotenuse of a right triangle is given?

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STEP 1

Well we know that Leg A = 6 and the Hypotenuse = 10, so that means we have to figure out the length for Leg B.

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STEP 2

Now you find the difference between the square of Leg A and the square of the hypotenuse.

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STEP 3

Finally, find the square root of the difference.  So, you will find the square root of 64 for this problem. This will give you the length of LEG B.

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3

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Directions: Utilizing the video lesson and the notes provided, answer the following questions. Attached in your Google Classroom is a Google Doc that you will enter your answers. Enter your answers in the tables provided within the document.

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