TOPICS
This page:
geometry in the plane
circumference
coordinate graphing
polygons
Pythagorean theorem
symmetry
tessellations/tilings
About Levels
of Difficulty
PreAlgebra
operations with numbers
number sense
number theory
fractions, decimals,
percentages
integers
algebra
ratio & proportion
geometry in the plane
geometry in space
measurement
statistics
probability
logic & set theory
discrete math
Browse all
PreAlgebra
Problems
PreAlgebra
Home
About the
PoW Library


Pythagorean Theorem

The Pythagorean theorem can be modeled both algebraically and geometrically. Using both models at the middle school level can help students see that algebra and geometry are related.
 Related Resources

Interactive resources from our Math Tools project:
Math 7: Geometry in the Plane: Pythagorean Theorem
The closest match in our Ask Dr. Math archives:
FAQ: Pythagorean Theorem
NCTM Standards:
Geometry Standard for Grades 68
Access to these problems requires a Membership.

Canadian Soccer
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the distance a player runs to complete three "Double V" laps.
... more>>

Partial Area
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the area of the portion of the circle that is not included inside the inscribed square.
... more>>

Right Triangle, Which Legs?
 Annie Fetter

PreAlgebra, difficulty level 3. Find the possible lengths for the third side of a right triangle given
the lengths of the other two sides.
... more>>

Riz's Route
 Richard Tchen & Steve Risberg

PreAlgebra, difficulty level 3. Where is Riz standing when he realizes it would be the same distance to
continue walking
on the longer path as it would be to turn around and take the shortcut?
... more>>

Shortcut Savings
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Find a rule to tell how much distance I will save when I take the shortcut.
... more>>

A Stellar Garden
 Bill Marthinsen

PreAlgebra, difficulty level 3. Martha Stewart wants to rebuild her ugly garden. She needs help calculating the areas in the new garden.
... more>>

Timber!
 Steve Risberg

PreAlgebra, difficulty level 3. A tree breaks threeeighths of the way up the trunk, and the tip hits the ground 40 feet from the base of the trunk. How tall was the tree?
... more>>
Page: 1
