Geometry

Math (X) - Geometry (X)

Thinkport | Folding Sculptures

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Watch sculptor Mary Ann Mears demonstrate how she uses scale modeling and other mathematics in creating geometric sculptures in this video from MPT. In the accompanying classroom activity, students design a scale model of a sculpture for the school grounds. They calculate the height and width that the full-size sculpture would be. To get the most from this lesson, students should have some exposure to scale models and be comfortable using a protractor to measure and draw angles. For a longer self-paced student tutorial using this media, see "A Focus on Surface Area and Scale Drawings" on Thinkport from Maryland Public Television.

Surface Area of a Polyhedron

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Watch an animated demonstration of calculating the surface area of polyhedrons by finding the area of component polygonal faces in this video from KCPT. In the accompanying classroom activity, students watch video, and complete two hands-on activities: they calculate the surface area of a polyhedral object and use graph paper, scissors, and tape to create a rectangular pyramid with a given surface area. Students should be comfortable calculating the area of parallelograms and triangles. Prior exposure to right rectangular prisms and to surface area is helpful.

Finding Unknown Angles

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Learn how to solve problems that involve finding unknown supplementary, complementary, vertical, and adjacent angles in this Math Shorts video from the Utah Education Network and Planet Nutshell, Inc. This resource is part of the Math at the Core: Middle School Collection.

Wall of Fire: Cube

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Watch as the "Wall of Fire" in the National Museum of Mathematics shows the relationship between two and three-dimensional figures. This video focuses on the 2D cross sections that can be observed when a laser projects through a 3D cube.

Real-Life Math | Real Estate Appraiser Part 2

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In this video, explore the mathematics involved in the work of a real estate appraiser as she calculates measurements, creates scaled drawings, and analyzes the mean and median prices of comparable homes to estimate the values of the homes she appraises. In the accompanying classroom activity, students discuss the mathematics embedded in the work of a real estate appraiser and use some of those mathematical formulas to measure different rooms in their own homes.

This resource is part of the Math at the Core: Middle School collection.

Geometry of Shapes in Kapa Design

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Explore the beauty of geometrical shapes and find the patterns that a Hawaiian kapa quilt maker incorporates into her designs in this video from the Center for Asian American Media. This resource is part of the Math at the Core: Middle School Collection.

Area of a Parallelogram

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Learn about the characteristics of a parallelogram and how to find its area in this video from KCPT. In the accompanying classroom activity, students develop and apply the formula for the area of a parallelogram. This resource is part of the Math at the Core: Middle School Collection.

What is a fractal (and why do they matter)? | MIT's Science Out Loud

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Fractals are complex, never-ending patterns created by repeating mathematical equations. Yuliya, a undergrad in Math at MIT, delves into their mysterious properties and how they can be found in technology and nature.

3D Shapes into 2D Objects | PBS Math Club

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In this episode of Math Club, see all your favorite 3D shapes sliced into mouth watering 2D figures. With just a flick of the wrist, cubes become squares, cylinders become ovals, and cuboids become rhomboids.

Geometry and Spatial Relations: It's a Perfect Fit (Part 2)

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In this resource group, teachers can focus on the topic of geometry and spatial relations by having students identify and describe numerical relationships found among pattern block shapes. Students learn to join pattern block pieces together to cover a region. This resource group is part of the Mathline Elementary School Math Project.

Between the Lions - Letter Bit: Shapes

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Watch real kids introduce different shapes from their everyday lives. This video segment from Between the Lions focuses on recognizing and naming some of the shapes that can be found around you in your everyday life.

Blossom and Snappy Build Scale Models | Count On It!

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Blossom and Snappy learn about scale models and how they are used in the design and construction of buildings. They visit an architectural firm, a construction site, Clark Atlanta University Art Gallery, and Clark Atlanta University Science Center. They learn how to build their own scale model of a house.

Thinkport | Proportional Relationships and Slope: Part 2

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Explore the role that proportions play in the design of cakes composed of several tiers in this video from MPT. In the accompanying classroom activity, students watch the video. Next, they examine photographs of tiered cakes, taking measurements to determine if the tiers are in proportion. They conclude by reflecting on the cake photographs and considering why the cake designer maintains that cakes in proportion are pleasing to the eye. To get the most from the lesson, students should have some familiarity with ratio and related tables of values. For a longer self-paced student tutorial using this media, see "Proportional Relationships and Slope" on Thinkport from Maryland Public Television.

Thinkport | Mapping Sculptures

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In this video from MPT, learn how sculptor Mary Ann Mears uses angle measurement and geometric relationships when determining angles in scale models. In the accompanying classroom activity, students apply what they learn in the video as they solve problems in which they are given clues about two of the angles in a triangle and must determine the third. Clues involve measurements of interior and exterior angles in the triangle. To get the most from the lesson, students should be familiar with the concept of scale models. For a longer self-paced student tutorial using this media, see "Mapping Out Sculptures" on Thinkport from Maryland Public Television.

Bob the Builder | Who Helps Build a Community?

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Just as Bob the Builder and his team manipulate their environment, preschoolers like to explore and manipulate their environments, too! They are natural builders! Blocks are meant to be stacked, blanket forts draped over furniture, or a stream of water dammed and redirected. In this activity, children are introduced to Bob's team and the important role each plays in planning and building a community.