Math Forum - Problems Library - Pre-Algebra, Geometry in the Plane: Pythagorean Theorem

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Pre-Algebra
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
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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 6-8

Access to these problems requires a Membership.

Canadian Soccer - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the distance a player runs to complete three "Double V" laps. ... more>>

Partial Area - Judy Ann Brown
Pre-Algebra, 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
Pre-Algebra, 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
Pre-Algebra, 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
Pre-Algebra, 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
Pre-Algebra, 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
Pre-Algebra, difficulty level 3. A tree breaks three-eighths 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>>

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