Mathematics Vision Project
Module 7: Modeling with Geometry
Model good modeling practices. Young mathematicians first learn about cross sections and solids of revolution. They then turn their attention to special right triangles and to the Laws of Sine and Cosine.
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...
Pennsylvania Department of Education
A Geometric Scavenger Hunt
Fifth graders connect their knowledge of polygons and polyhedrons. In this geometric shapes instructional activity, 5th graders identify and classify two- and three-dimensional objects. Students construct a polyhedron out of polygons and...
Smithsonian Institution
Geometric Shapes Collage
Junior geometers practice stating the names of different geometric shapes. They define and name the different shapes and compare and contrast shapes to one another. They also relate the shapes to objects in the real world.
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Curated OER
Geometric Patterns
In this geometric patterns worksheet, students learn to solve problems that use geometric patterns and solid figures. Students solve six word problems.
Curated OER
Discovering Solids
Second graders engage in a lesson that is about the discovery of solids. They identify using shapes like cones, spheres, cylinders, and cubes in various different situations. Students explore the classroom in order to find examples of...
Curated OER
Guess My Shape
Learners play a game with shapes. They work in groups to identify the names and characteristics of various shapes. They give each other clues to see if others can identify the shape being described. This is a great hands on activity.
Curated OER
Supplementary, Complementary, and Vertical Angles
By using circles that they cut out and label themselves, learners literally "get a grip" on the angles they identify: supplementary, complementary, and vertical. They solve missing measurements based on properties of supplementary,...
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...
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
Curated OER
Color Me Square
Second graders identify and describe basic geometric solids. Working as a class, 2nd graders describe geometric solids using the proper vocabulary and counting faces, bases, corners, and edges. In pairs, students use a computer drawing...
Illustrative Mathematics
3-D Shape Sort
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...
Annenberg Foundation
Geometry 3D Shapes: Surface Area and Volume
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...
Curated OER
Snub Cube
In this math worksheet, students create a paper model of a snub cube. It is an Archimedean solid comprised of 6 square faces, 32 equilateral triangle faces, 24 vertices and 60 edges.
Curated OER
Net (Rectangular Prism)
In this geometric net worksheet, students cut out a net and fold it on the correct lines before pasting or taping it to make a three dimensional rectangular prism.
Curated OER
Parallel and Perpendicular Lines
Young geometers get some solid skills practice in evaluating slopes. Beginning with the basics of slope through two points and progressing through properties of parallel and perpendicular lines, the building of skills is gradual and...
Curated OER
Life in a Geometrical Town
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.
Curated OER
Geometry Institute Lesson
Students practice geometry skills. In this geometry lesson, students find the surface area of cubes and prisms, identify shapes on solids, and distinguish between 2-dimensional objects and solids.
Curated OER
Net (Triangular Prism)
In this net worksheet, students use the pattern to create a triangular prism. Students cut out the pattern and fold on the dotted lines and paste it to make the solid figure.
Curated OER
Junior Architects of America
Students create entries for the Architects of America contest, including a model of a futuristic structure, blueprints, a list of all plane and solid shapes in the structure, a persuasive argument paper that describes why the structure...
Curated OER
Math Who Am I? Worksheet 3
In this math who am I worksheet, students read geometric shapes and math terms clues, fill in the blanks, and check their answers by circling each third letter in boxes with answers. Students write eight answers.
Curated OER
Triple Integrals Over Solid Regions
In this math worksheet, students investigate a solid mass that is suspended. Then they find the integral to help define its placement in space.
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the...
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