Illustrative Mathematics
What is a Trapezoid? (Part 2)
This collaborative activity investigates the meaning of a trapezoid and a parallelogram. It begins by presenting two different definitions of a trapezoid. Learners are to reason abstractly the difference between the two definitions and...
Curated OER
Classifying Three-Dimensional Shapes
Compare geometric solids based on their properties. Your emergent geometers use spaghetti and marshmallows to build models so they can examine the number of faces, edges, and vertices on polyhedra of their own creation. Resource includes...
Utah Education Network (UEN)
Geo Shapes
Invite your first graders to compose and decompose two and three-dimensional figures with this fun, hands-on lesson. They investigate and predict the results of putting together and taking apart two-dimensional shapes with rubber bands...
EngageNY
Cones and Spheres
Explore methods for finding the volume of different three-dimensional figures. The 20th instructional activity in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must...
Curated OER
Living in a Geometrical World
Learners participate in a series of hand-on, online, and multimedia activities to examine 2 dimensional and 3 dimensional shapes. They describe common geometric solids. They construct rectangular prisms using straws and ribbon.
EngageNY
Composition of Linear Transformations 2
Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of transformations.
Curated OER
Seeing in 3D: Interpreting Two-Dimensional Diagrams of Three-Dimensional Objects
Students hone in on their skills at reading diagrams. For this dimensional lesson students collect information on the functions of organs then figure out how all the parts work together.
EngageNY
Vectors and Translation Maps
Discover the connection between vectors and translations. Through the lesson, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
Mathematics Vision Project
Module 5: Modeling with Geometry
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 to finding...
Curated OER
Dihedral Figures
Middle and high schoolers perform transformations. In this web based lesson, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
Curated OER
Details, Details, Details
Writing can become one-dimensional if authors don't involve all their senses. First, scholars observe a strange object which, ideally, they can touch and even smell. Without using certain words (you can create a list or have the class...
Curated OER
Prisms, Pyramids, and Nets
Students compare and contrast the characteristics of prisms and pyramids. In groups, they are given different colored construction paper to make rectanglar prisms. They identify the shapes of the faces and record the number of faces,...
Curated OER
Three-Dimensional Figures
Sixth graders explore three-dimensional objects. Using various objects found in the classroom, they identify faces, edges, and vertices of objects. Students create their own objects. They describe the polydron, telling the faces,...
Radford University
Lemonade Business - Investigating Surface Area and Volume of Containers
Boost lemonade sales by using the perfect container. For a given volume, future entrepreneurs design a container that will have the least surface area and by extension, the least cost of material. They create a two-dimensional net of...
Curated OER
Orbital path of Landsat
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....
Curated OER
Paper Folding to Make Cubes
Examine patterns of figures composed of six-squares and predict which of the twenty presented could be folded to make a cube. They then fold large-scale patterns of these figures to confirm their hunches.
Curated OER
A Cone and Its Net
Create and investigate nets for solid shapes with your class. They identify the different parts and faces of each polygon and solid then calculate the surface area and volume of cones. They use circle sectors of varying sizes to build...
Curated OER
Dissecting the Cube
Learners investigate the volume of cones. In this geometry lesson, students define the formula to find the volume of cones. They define the concept of having to dissect a three dimensional figure and find the volume.
EngageNY
End-of-Module Assessment Task: Grade 8 Mathematics (Module 7)
It's time to discover what your classes have learned! The final lesson in the 25-part module is an assessment that covers the Pythagorean Theorem. Application of the theorem includes distance between points, the volume of...
Annenberg Foundation
Geometry 3D Shapes: Platonic Solids
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...
Annenberg Foundation
Geometry 3D Shapes: Euler's Theorem
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...
Curated OER
Introducing Powers and Models
Students construct two dimensional models to illustrate squared numbers. In this geometry lesson, students use graph paper and an x/y axis to build squares exponentially. Students identify powers and relationships between various figures...
Curated OER
Tetrominoes Cover-Up
Third graders are given square tiles and participate in a demonstration on how to arrange them. Using the tiles, they work with a partner to discover how many two-dimensional tetrominoes they can create. To end the lesson, they must...
Curated OER
Shape Hunt
Students explore two-dimensional and solid shapes. In this shapes and patterns geometry lesson, students work with a partner to create identifiable objects using tangrams. Students describe the attributes of their shape and their partner...