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Illustrative Mathematics

3-D Shape Sort

For Teachers K - 2nd Standards
From the apple on your desk and the coffee cup in your hand, to the cabinets along the classroom wall, basic three-dimensional shapes are found everywhere in the world around us. Introduce young mathematicians to the these common figures...
Activity
Houston Area Calculus Teachers

Area and Volume

For Students 11th - Higher Ed
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...
Activity
Curated OER

Life in a Geometrical Town

For Teachers 5th - 6th
In this geometry worksheet, students create a map that uses various geometrical concepts. The final project is the creation of a "geometrical town." Rubric for grading is included.
Activity
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Curated OER

Mathematical Treasure Hunt

For Teachers 3rd - 8th Standards
The hunt is on! Young mathematicians follow clues and complete a series of ten math puzzles as they try to crack Dr. Integer's code and find the location of his hidden treasure.
Lesson Plan
Illustrative Mathematics

Computing Volume Progression 4

For Teachers 6th - 9th Standards
This resource was written for the younger math learner, but finding the volume of an irregular solid is also a problem for algebra and geometry students. Based on Archimedes’ Principle, one can calculate the volume of a stone by...
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Geometry

For Students 9th - 10th Standards
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with online tutorials and exercises on what they deem some of the most important topics in geometry: Triangles, and Circles and Other...
Activity
Annenberg Foundation

Annenberg Learner: Geometry 3 D Shapes: Platonic Solids

For Students 9th - 10th Standards
Learn about platonic solids, a special type of polyhedra. Read a definition, make three-dimensional models using printouts, and play with an interactive animation, which will show you the faces, vertices, and edges on platonic solids:...
Activity
Math Is Fun

Math Is Fun: Platonic Solids: Why Five?

For Students 9th - 10th
Use Euler's Formula and properties of known platonic solids' faces, edges, and vertices to determine why only five platonic solids exist.
Activity
Maths Challenge

Maths challenge.net: Platonic Solids

For Students 9th - 10th Standards
A "three star geometry problem" requiring knowledge of how to complete geometric proofs to prove that there are no more than five regular convex polyhedra.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Geometry in Space

For Students 9th - 10th Standards
Twenty-four problems covering a variety of solid figure topics: dimensions, volume, surface and base areas. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click...
Activity
Texas Instruments

Texas Instruments: Measurement and Geometry

For Teachers 6th - 8th
In this activity students explore the use of manipulatives to conduct simple geometry and measurement activities.
Activity
University of Regina (Canada)

University of Regina: Math Central: Manipulatives for the Upper Elementary (Gr. 4 6)

For Teachers K - 1st Standards
Many teachers find it more challenging to incorporate the use of manipulatives into their mathematics programs at the upper elementary or middle school grades. Activities using manipulatives are provided for grades four, five, and six...
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Math Challenges for Families

For Students 2nd - 8th
Students, teachers, and parents alike will enjoy this challenging math site. It contains a clever brain teaser section plus creative problems related to algebra, geometry, measurement, numbers, statistics, and probability. A Spanish...
Activity
Annenberg Foundation

Annenberg Learner: Geometry 3 D Shapes

For Students 6th - 8th Standards
Learn about several three-dimensional geometric shapes and the terminology used to describe them. Learn how to calculate their surface area and volume, and explore their mathematical properties.
Activity
Other

Polyhedra: The Five Platonic Solids

For Students 9th - 10th Standards
A brief site that includes some activities to understand the figures.
Activity
Maths Challenge

Maths challenge.net: Spider Fly Distance

For Students 9th - 10th Standards
A "three star geometry problem" requiring knowledge of how to complete geometric proofs and some prior math skills to figure the shortest distance between the opposite corners of a cuboid.
Activity
University of California

Geometry Junkyard: Dissection Tiling

For Students 9th - 10th Standards
A great and very informative article about dissection tiling or tessellation.
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Cut the Cake

For Students 2nd - 6th Standards
A math challenge where geometry, measurement, and problem solving meet. Explore the properties of three dimensional shapes when you discover how six friends can equally divide a nine inch square chocolate cake. A one page activity from...
Activity
Disfruta Las Matematicas

Disfruta Las Matematicas: Geometria

For Students 4th - 6th Standards
This unit could be used as supplementary material for Geometry. It has good examples with illustrations and some interactive activities.
Activity
CK-12 Foundation

Ck 12: Classification of Soild Figures: Naming Shapes

For Students 2nd - 6th Standards
[Free Registration/Login Required] Students will click on the point of the word and drag it to the correct figure. Click challenge me to answer practice questions and click learn more to watch a video.
Activity
CK-12 Foundation

Ck 12: Volume of Triangular Prisms: Adjusting Prisms

For Students 9th - 10th Standards
[Free Registration/Login Required] Students will determine the volume of triangular prisms. Click 'challenge me' to answer practice questions and click 'learn more' to watch a video.
Activity
CK-12 Foundation

Ck 12: Cross Sections and Nets: Cereal Box Grid

For Students 6th - 8th
[Free Registration/Login Required] Students will explore cross sections and nets of three dimensional objects. Click challenge me to answer practice questions and click learn more to watch a video.
Activity
CK-12 Foundation

Ck 12: Volume of a Pyramid: Fluctuating Height

For Students 6th - 8th
[Free Registration/Login Required] Students will follow the directions to change the pyramid's height then click 'challenge me' to answer the question about the pyramid. Click 'learn more' to further explore pyramids.
Activity
CK-12 Foundation

Ck 12: Volume of Cylinder: Big Can of Soup

For Students 5th - 7th Standards
[Free Registration/Login Required] Students determine the volume of a cylinder by moving the points on the can of soup. Click challenge me to answer practice questions and click learn more to watch a video.

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