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8.G.B.8

Bridges of Pythagoras

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Game Info for Teachers

COMBINED RATING

3.8 Stars

TEACHERS (23)

3.9

STUDENTS (3450)

3.6

LENGTH

22 Minutes

GRADES

6
7
8

CAPABILITIES

iPad Support
ES
Spanish Language Support
Text-to-Speech Support

Description

Can you help all the cars reach the other side? To do so, build bridges using all your knowledge of Pythagoras's Theorem!

Vocabulary Words

Pythagorean Theorem
leg
hypotenuse
coordinates
natural numbers
squared
ratio
right triangle
right angle
slope

Instructions

Play through this interactive game to learn about Pythagorean Theorem on a Coordinate Graph. Suitable for Grade 6, Grade 7, Grade 8.

Main Concepts

The Pythagorean Theorem applied to all right triangles and states the square of the hypotenuse (longest side opposite the right angle) is equal to the sum of the square of the two other sides, or a^2 + b^2 = c^2
Substitute values for the length of legs or leg and hypotenuse to determine missing side.
If given hypotenuse (c) and a leg (a) use: c^2 - a^2 = b^2.
Given a slope on a coordinate graph, determine the length of the slope by determining perpendicular leg lengths where the slope is the hypotenuse and apply the Pythagorean Theorem to determine length of the hypotenuse.
Leg length and hypotenuse ratio will be constant proportion regardless of length chosen for the legs.

Discussion Questions

Before the Game

In this game you will use the Pythagorean Theorem - in your own words, what is the Pythagorean Theorem? If you are given the base and height of a right triangle, how can you find the length of the hypotenuse using the Pythagorean Theorem? How can you identify the length of a line segment on a coordinate plane when it is not given to you in the problem? When is the Pythagorean Theorem used? What might be a strategy for finding a missing side in a right triangle?

After the Game

Did you notice any patterns that helped you select the bridge length more quickly? Some bridge lengths were whole numbers while others were decimals - did you notice any similarities among the whole numbers? Was the bridge longer or shorter than the other sides of a triangle? How did you use your knowledge of square roots and rounding decimals to calculate the bridge length? Other than building a bridge, what is another situation in which calculating the length of the hypotenuse of a right triangle would be useful?

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Game Details

Difficulty

Content Integration

Lexile Level

705
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