A free resource fromLegends of Learning
8.G.B.8

Starship Euclidean - Pythagorean Theorem

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Game Info for Teachers

COMBINED RATING

3.5 Stars

TEACHERS (13)

3.7

STUDENTS (1130)

3.4

LENGTH

17 Minutes

GRADES

6
7
8

CAPABILITIES

ES
Spanish Language Support
Text-to-Speech Support

Description

Learn the Pythagoras Theorem while exploring space, meeting aliens, and fighting space pirates!

Vocabulary Words

absolute value
origin
Pythagorean Theorem
coordinate
right triangle
right angle
leg of a right triangle
hypotenuse
x-axis
y-axis
square root
square
exponent

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

What does an exponent of 2 mean? How do you find the square root of a number? How do you determine if a triangle is a right triangle? Which side of a right triangle is the hypotenuse? What does the Pythagorean Theorem help us to learn?

After the Game

Why could you ignore the negative sign when subtracting the coordinates resulted in a negative number? How can you find the distance between two points using Pythagorean theorem? How do you find the length of a leg when given the length of the hypotenuse and the other leg? How did we manipulate the Pythagorean Theorem when we were given the length of the hypotenuse? How did we use the coordinates of two points in space to get the length of the sides of the triangle?

Ratings & Reviews

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Student Ratings

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Game Details

Difficulty

Content Integration

Lexile Level

505

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