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Elementary: Geometry

In grades 3-5, elementary students identify and classify two- and three-dimensional 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 3-5.

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 (3-5), and press the Search button.

Access to these problems requires a Membership.

Bunches of Basil - Lisa Lavelle
active problem 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
active problem Math Fundamentals, difficulty level 3. Use this exploration problem to discover the relation between circumference and diameter. ... more>>

Cubic Changes - Lisa Lavelle
active problem 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
active problem 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
active problem Math Fundamentals, difficulty level 3. Design a fence that will keep the animals happy. ... more>>

The Great Flood - Jon Basden
active problem Elementary, difficulty level 3. How much "flood" water did Mr. Basden clean up with his shop vac? ... more>>

How Does Your Garden Grow? - Team 7 Red Math Students -- Highland Middle School
active problem Elementary, difficulty level 4. Help the HMS students find out how many ways they can arrange their schoolyard garden. ... more>>

Lawn-Mowing Chore - Judy Ann Brown
active problem Math Fundamentals, difficulty level 4. Find the area of the yard that Josh, Sam, and Mark must mow. ... more>>

Lost in Space - Lisa Lavelle
active problem 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.
active problem Math Fundamentals, difficulty level 3. Help Farmer Lucky fence his lettuce land. ... more>>

The Mad Hatter's Gone! - Leanne Gater
active problem Math Fundamentals, difficulty level 4. Explore a coordinate plane and help the Cheshire Cat find his favorite cheese. ... more>>

Mini-Movie Theater Seating - Chrissy Stewart (adapted)
active problem Elementary, difficulty level 3. How many rowdy kids can sit in the Mini-Movie Theater? ... more>>

More Mowing Madness - George Miller and Lisa Lavelle
active problem Math Fundamentals, difficulty level 4. Where should Matt and Georgette change places to evenly split their "Matt-mowing" work? ... more>>

Mowing Madness - George Miller and Lisa Lavelle
active problem Math Fundamentals, difficulty level 2. Using a special "Matt-mowing" technique, find the dimensions of the last rectangle to be mowed in a 48 ft. by 64 ft. yard. ... more>>

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

Rabbit's Run - Lisa Lavelle
active problem Math Fundamentals, difficulty level 1. Help Regina develop options for building her rabbit's run. ... more>>

Something Fishy - Basden's 8th Hour MathDogs
active problem Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi for the schoolyard garden pond. ... more>>

Special Stars - Lisa Lavelle
active problem 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
active problem Math Fundamentals, difficulty level 3. Determine the ratio of my volume to T.J.'s volume. ... more>>

Sprinkler Spray - Lisa Lavelle
active problem Math Fundamentals, difficulty level 4. Compare the radii of three sprinklers in Lily's garden. ... more>>

Stained Glass Window - Jackson First Year Algebra Class
active problem Elementary, difficulty level 5. Find the size of a stained glass window for my front door. ... more>>

Tricky Triangles - Lisa Lavelle
active problem Elementary, difficulty level 3. Arrange six toothpicks to create special triangles. ... more>>

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