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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...
Interactive
Annenberg Foundation

Geometry 3D Shapes: 3D Shapes

For Students 6th - 10th Standards
Explore vocabulary related to three-dimensional shapes. An instructional website describes the characteristics of different geometric solids. Learners can use an interactive component to view nets, faces, vertices, and edges of common...
Lesson Plan
Government of Hong Kong

Areas and Volumes - 2D Shapes

For Teachers 3rd - 6th Standards
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...
Lesson Plan
Learner

Solid Shapes

For Teachers K - 2nd Standards
A collection of two lessons, kindergartners will identify two-dimensional shapes in solid shapes. They will develop basic knowledge of the components that make up a sphere, rectangular prism, pyramid, cylinder, cone, and cube. Young...
Interactive
Annenberg Foundation

Geometry 3D Shapes: Euler's Theorem

For Students 6th - 10th Standards
How do you get a theorem named after you? Euler knows what it takes! The third lesson of five asks pupils to use an interactive activity to compare the faces, vertices, and edges of seven different three-dimensional solids. They use...
Unit Plan
Mathematics Vision Project

Module 5: Modeling with Geometry

For Students 9th - 12th Standards
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...
Interactive
Annenberg Foundation

Geometry 3D Shapes: Platonic Solids

For Students 6th - 10th Standards
From polyhedrons to platonic solids, here is a lesson that will have your classes talking! As an introduction to platonic solids, scholars cut and fold nets to create the three-dimensional solids. They use an interactive component to...
Lesson Plan
Illustrative Mathematics

All vs. Only Some

For Teachers Pre-K - 2nd Standards
All shapes have certain defining attributes that set them apart from others. In order to understand this, young mathematicians look at examples and non-examples of triangles, rectangles, and squares, working as a whole class to create...
Interactive
Annenberg Foundation

Geometry 3D Shapes: Surface Area and Volume

For Students 6th - 10th Standards
Whether you wrap it or fill it, you're using geometric concepts. Classmates use an interactive approach to learn how to find volume and surface area of cylinders and prisms in the second lesson in a five-part series. The online lesson...
Interactive
Scholastic

Study Jams! Edges, Faces, Vertices

For Students 5th - 8th Standards
Before determining the classification of a three-dimensional shape, you need to know about the characteristics of a vertex, edge, and face. Go step-by-step using a prism, and discover what each aspect refers to and how it applies to...
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...
Handout
Shmoop

Coordinate Proofs

For Students 8th - 11th Standards
How do you know you know? Prove it! The guide goes through several examples and includes a link to a video to teach learners how to work through coordinate proofs. The goal is to prove that different shapes are indeed that shape. 
Unit Plan
National Security Agency

Backyard Building - Area and Perimeter

For Teachers 2nd - 4th Standards
Turn young mathematicians into landscape architects with this four-lesson series on area and perimeter. Beginning with a basic introduction to calculating perimeter and area using non-standard units of measurement, this...
Lesson Plan
Willow Tree

Area of Common Geometric Figures

For Students 8th - 11th Standards
Scholars can use area formulas, but can they apply what they know about area? The lesson challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
Lesson Plan
Illustrative Mathematics

Comparing Snow Cones

For Teachers 7th - 9th Standards
Everyone wants to have the biggest snow cone possible, so would that be in cone-shaped cup or a more cylinder-style cup? Hungry geometry juniors compute the volume of each in this practical task.
Unit Plan
Mathematics Vision Project

Geometric Figures

For Teachers 10th - 12th Standards
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Lesson Plan
Willow Tree

Perimeter of Common Geometric Figures

For Students 8th - 11th Standards
Help learners understand that perimeter and circumference are one in the same. Learners apply their skills to determine the perimeter/circumference of triangles, rectangles, and circles. They then use the same strategy to find the...

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