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geometry in the plane
 circumference
 coordinate graphing
 polygons
 Pythagorean theorem
 symmetry
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Pre-Algebra
operations with numbers
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Pre-Algebra
Problems
Pre-Algebra
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Polygons
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These problems require students to use the defining properties of two-dimensional objects to describe, classify, and understand the relations that exist among them.
- Related Resources
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Interactive resources from our Math Tools project:

Math 7: Geometry in the Plane
The closest match in our Ask Dr. Math archives:

Middle School: Two Dimensional Geometry
NCTM Standards:

Geometry Standard for Grades 6-8
Access to these problems requires a Membership.
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Building Fences
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Plan a garden so as to maximize the area surrounded by a 36-yard fence.
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Building on Water
- Judy Ann Brown
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Pre-Algebra, difficulty level 4. Find the area of a circular pond not covered by a rectangular building.
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Canadian Soccer
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Find the distance a player runs to complete three "Double V" laps.
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Exploring Area
- Judy Ann Brown
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Pre-Algebra, difficulty level 4. Find information about Pick's theorem and solve an area problem using this method.
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Fences for Fido and Friends
- Annie Fetter
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Pre-Algebra, difficulty level 2. Find the area of each rectangular dog pen.
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Graphing for Area
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Graph six points and find the area of the resulting hexagon.
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How Wide Is My Garden?
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden.
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Office Tile Choice
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Find the total cost of purchasing tiles for my office.
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Partial Area
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Find the area of the portion of the circle that is not included inside the inscribed square.
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Picture-Perfect Geometry
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Graph four points and name the figure that you have drawn.
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Shapes Rock
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Find the number of diagonals in a polygon of 40 sides.
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Shine On Harvest Moon
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Find the area of the largest circle that can be cut from a nine-inch by twelve-inch sheet of paper.
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A Stellar Garden
- Bill Marthinsen
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Pre-Algebra, difficulty level 3. Martha Stewart wants to rebuild her ugly garden. She needs help calculating the areas in the new garden.
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