Skip to main content
Create interactive lessons using any digital content including wikis with our free sister product
. Get it on the
Pages and Files
Area & Perimeter
Circles - A&P
Fun with Circles
Quads - A&P
Decimals to Inches
Sphere & Torus
Sphere Vol Formula
Cylinders Vol & SA
Net 3-4-5 Prism
Net Right Tri Prism
Net Hexagon Prism
Net Octagonal Prism
Nets for 3 Pyramids
Lateral SA and Vol
To contact Kathy, go to the Members page or join this Wik
CCSS Grade 8 - Understand and apply the Pythagorean Theorem
8.G.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.G.8. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Example 1 - Benchmark Problem
I suggest having your students recreate this model so they can manipulate this in 3D.
It is important for students know the exact wording of the Pythagorean Theorem and what it means to write a legitimate proof.
page will explore the more familiar use of the theorem. Another idea that we need to explore is the Pythagorean Triple.
Application problems, like what you see below, are common to the school curriculum. The Diagonal of a LCD monitor problem uses a model from the 3D Ware house for a more realistic situation. The Diagonal of an Aquarium problem shows the dimensions for each of the points in the (x, y, z) format.
Example 2 - 2D - Diagonal of a LCD monitor
LCD Monitor Problem Page
What is the length of the monitor (reported as the length of the diagonal) to the nearest 1/4 of an inch?
Example 3 - 3D - Diagonal of an Aquarium
What is the longest stick you could fit in an aquarium with these dimensions?
Find the length of the diagonal (shown in blue) inside the rectangular prism. Note that the dimensions reference the red, green and blue axis.
Application with Trigonometry (and Slope)
The following section of text was found in the Standards section of the CORD geometry book. Think about how SketchUp could make the example for this Indiana State Standard much more realistic?
G.4.7 Find and use sides, perimeters, and areas of triangles, and relate these measures to each other using formulas.
Example: The gable end of a house is a triangle 20 feet long and 13 feet high. Find its area.
A more engaging problem would be to construct a house with these dimensions in the gable roof. Are the dimensions realistic? What is the pitch of this roof? Watch this video clip from the Internet to learn more about a
and read this page to learn more about the
pitch of a roof
Checked June, 2014
help on how to format text
Turn off "Getting Started"