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Elementary: Geometry
In grades 35, elementary students identify and classify
two and threedimensional shapes and develop definitions of
classes of shapes, explore subdividing, combining, and transforming
them, and learn about congruence and similarity. They also specify
locations and investigate spatial relations using coordinate geometry
and other representational systems, study transformations and
symmetry, and use visualization, spatial reasoning, and geometric
modeling to solve problems, building objects and creating and
describing mental images of them.
Elementary Problems of the Week that focus on geometric properties
are listed below. They address the NCTM
Geometry
Standard for Grades 35.
For background information elsewhere on our site, explore the
Elementary Geometry
area of the Ask Dr. Math archives, and the Dr.
Math FAQ. To find relevant sites on the Web, browse and search
Geometry in our Internet
Mathematics Library; to find elementary sites, go to the bottom of
the page, set the searcher for late elementary level (35), and
press the Search button.
Access to these problems requires a Membership.

Bunches of Basil
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Determine the maximum number of basil plants I will have after I finish thinning the garden.
... more>>

Circles Around
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Use this exploration problem to discover the relation between circumference and diameter.
... more>>

Cubic Changes
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Determine how the volume and surface area of a cube change when the edge length is changed.
... more>>

Frugal Flooring
 Marita Paynter

Math Fundamentals, difficulty level 2. Help Graeme determine how many tiles he needs to decorate his new bedroom and whether or not he can afford them.
... more>>

Good Fences
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Design a fence that will keep the animals happy.
... more>>

The Great Flood
 Jon Basden

Elementary, difficulty level 3. How much "flood" water did Mr. Basden clean up with his shop vac?
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How Does Your Garden Grow?
 Team 7 Red Math Students  Highland Middle School

Elementary, difficulty level 4. Help the HMS students find out how many ways they can arrange their schoolyard garden.
... more>>

LawnMowing Chore
 Judy Ann Brown

Math Fundamentals, difficulty level 4. Find the area of the yard that Josh, Sam, and Mark must mow.
... more>>

Lost in Space
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Figure out how big an error the engineers made when they mixed up their units.
... more>>

Lucky Lettuce Land
 Kainoa Trotter, et al.

Math Fundamentals, difficulty level 3. Help Farmer Lucky fence his lettuce land.
... more>>

The Mad Hatter's Gone!
 Leanne Gater

Math Fundamentals, difficulty level 4. Explore a coordinate plane and help the Cheshire Cat find his favorite cheese.
... more>>

MiniMovie Theater Seating
 Chrissy Stewart (adapted)

Elementary, difficulty level 3. How many rowdy kids can sit in the MiniMovie Theater?
... more>>

More Mowing Madness
 George Miller and Lisa Lavelle

Math Fundamentals, difficulty level 4. Where should Matt and Georgette change places to evenly split their "Mattmowing" work?
... more>>

Mowing Madness
 George Miller and Lisa Lavelle

Math Fundamentals, difficulty level 2. Using a special "Mattmowing" technique, find the dimensions of the last rectangle to be mowed in a 48 ft. by 64 ft. yard.
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The New Rug
 Lisa Lavelle

Elementary, difficulty level 3. Find the number of squares needed to cover the Reading area.
... more>>

Penny Space
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Determine the space needed to store a million pennies.
... more>>

Rabbit's Run
 Lisa Lavelle

Math Fundamentals, difficulty level 1. Help Regina develop options for building her rabbit's run.
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Something Fishy
 Basden's 8th Hour MathDogs

Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi for the schoolyard garden pond.
... more>>

Special Stars
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Calculate the number of pipe cleaners Leah used to create a Star of David chain.
... more>>

Splish Splash
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Determine the ratio of my volume to T.J.'s volume.
... more>>

Sprinkler Spray
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Compare the radii of three sprinklers in Lily's garden.
... more>>

Stained Glass Window
 Jackson First Year Algebra Class

Elementary, difficulty level 5. Find the size of a stained glass window for my front door.
... more>>

Tricky Triangles
 Lisa Lavelle

Elementary, difficulty level 3. Arrange six toothpicks to create special triangles.
... more>>
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