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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...
Unit Plan
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Virginia Department of Education

Exploring 3-D Geometry

For Teachers 6th - 8th Standards
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
Lesson Plan
Curated OER

3-D Figures Part 1

For Teachers 3rd - 5th
Elementary schoolers explore 3-D shapes. They transition from thinking of shapes as only 2-D. Pupils read Cinderella as a launching activity for their upcoming adventure, and explore a new world of 3-D shapes in this introductory lesson.
Lesson Plan
Curated OER

It's a 3-D World Out There!

For Teachers 2nd - 4th
Students construct polygons. They identify attributes of three-dimensional shapes. Students name common three-dimensional shapes. They draw three-dimensional shapes, and sort three-dimensional shapes. Students use K'NEX materials sets to...
Lesson Plan
Curated OER

Art or Junk? Discovering the Triangle Inequality

For Teachers 6th
Middle schoolers study the triangle inequality. They will identify, compare, and analyze attributes of two and three-dimensional shapes. Then they develop vocabulary to describe the attributes. They also use manipulatives to analyze the...
Lesson Plan
Fayetteville Public Schools

I've Seen That Shape Before

For Teachers Pre-K - 2nd Standards
The objectives in the resource allow students to explore the characteristics of simple solid shapes. Youngsters learn to recognize the face shapes, corners, and edges that make up 3-D figures by filling in a chart. Lastly,...
Lesson Plan
National Gallery of Canada

My Treehouse

For Teachers K - 3rd
If you could build your own treehouse, what would it look like? Using a piece of contemporary art as inspiration, learners draw their own treehouses and add geometric and organic shapes. The lesson touches on Visual Thinking Strategies...
Lesson Plan
National Security Agency

Classifying Triangles

For Teachers 4th - 8th Standards
Building on young mathematicians' prior knowledge of three-sided shapes, this lesson series explores the defining characteristics of different types of triangles. Starting with a shared reading of the children's book The Greedy...
Lesson Plan
American Institute of Physics

African American Inventors in History

For Teachers 6th - 12th Standards
A two-part lesson introduces young historians to the work of famous African American inventors. Groups first research and develop a presentation of an inventor that includes biographical information and information about one of their...
Lesson Plan
National Security Agency

Awesome Area - Geometry and Measurement

For Teachers 2nd - 4th Standards
Break out those math manipulatives, it's time to teach about area! Capturing the engagement of young mathematicians, this three-lesson series supports children with learning how to measure the area of squares, rectangles, and other...
Lesson Plan
Curated OER

Shapes to Forms

For Teachers 1st
Here is a math lesson that is really a visual arts lesson in disguise! In it, pupils utilize their knowledge of geometric shapes and forms to create a detailed version of a cylinder. The instructions on how to go about the task are very...
Unit Plan
Arizona Department of Education

Area and Perimeter of Regular and Irregular Polygons

For Teachers 3rd - 6th Standards
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other...
Activity
DiscoverE

LIDAR: Mapping with Lasers

For Teachers 6th - 12th Standards
We would be lost without maps! How are they made? Introduce junior topographers to LIDAR technology with a fascinating activity. Set up a mock city, then have learners operate a laser measure to determine the shape of the landscape using...
Lesson Plan
Virginia Department of Education

Surface Area and Volume

For Teachers 9th - 11th Standards
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
Lesson Plan
California Academy of Science

Fish Forms

For Teachers Pre-K - 2nd Standards
I've said it before, and I'll say it again, you can add art to any lesson! While little learners are discovering why fish have specific body parts such as, scales, fins, and gills, they start making three-dimensional fish forms. Children...
Lesson Plan
Curated OER

Planet/Constellation Mobile

For Teachers 6th - 8th
Students construct three-dimensional solar system mobiles.
Lesson Plan
Curated OER

Basic Right Triangles

For Teachers 2nd - 4th
Elementary schoolers examine the attributes of triangles. In this triangle lesson, learners compare regular triangles and right triangles. They explore vertices and angles and investigate obtuse and acute angles. Pupils draw multiple...
Lesson Plan
Curated OER

Investigating Nets and Polyhedra

For Teachers 5th
Fifth graders create a net for a given polyhedron. They determine the corresponding polyhedron for a given net. Students investigate several polyhedra (cube, tetrahedron, and one of their choosing) and their corresponding nets. They...
Lesson Plan
J. Paul Getty Trust

O Greek Shape! O Fair Pose!

For Teachers 6th - 12th Standards
Everything old is new again. The Los Angeles J. Paul Getty Museum presents a lesson on how Greek black-figure painting influenced eighteenth century Neoclassical artists. After looking at a series of examples, class members create their...
Unit Plan
Partnership for Educating Colorado Students

Mayan Mathematics and Architecture

For Teachers 4th - 8th Standards
Take young scholars on a trip through history with this unit on the mathematics and architecture of the Mayan civilization. Starting with a introduction to their base twenty number system and the symbols they used, this eight-lesson unit...
Lesson Plan
Curated OER

Comparison of Tangential (Plain Sawn) to Radial (Quarter Sawn)Dimensional Change When Moisture is Added or Removed

For Teachers 9th - 12th
Students investigate the dimensional changes that occur in wood samples when moisture is added and subtracted. The shapes and sizes of the pieces are compared and contrasted to decide which is best for cabinetry construction.
Lesson Plan
Curated OER

Tiling the Plane

For Teachers 2nd - 3rd
Young scholars use pattern blocks and triangular grid paper to review shape names, be introduced to the concept of a tiling of the plane, and determine which pattern blocks tile the plane. They are asked: "Have you ever seen a floor or...
Lesson Plan
Curated OER

Playground Design

For Teachers 6th - 9th
Young scholars design recreational equipment for a community. For this architecture lesson, students work in pairs to design the equipment. Young scholars select materials and begin designing. Students assess themselves with a pre-made...
Lesson Plan
Curated OER

Orbital path of Landsat

For Teachers 6th - 8th
Students comprehend how Landsat satellites orbit teh Earth to produce images. They comprehend the elliptical path of satellites. Students recognize that a different orbital path is needed for different satellites to perform their tasks....