# Geometry

Geometry (X)

## Analyzing its Geometry and Energy Efficiency | Treasures of New York: "Hearst Tower"

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Students solve a real-world mathematical problem involving the area of a triangle and learn about how energy conservation is applied to architectural design using video from Treasures of New York: Hearst Tower. Utilizing text-dependent discussion questions and classroom activities called “teaching tips,” students have an opportunity to take a deep dive into mathematics, STEM content and the arts.

## Area of a Triangle: Relation to Rectangles

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Explore the relationships between the area equations for rectangles and triangles. This video focuses on modeling the area equations for a rectangle and triangle and talks how base and height differ from length and width.

This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers and is part of the Math at the Core: Middle School collection.

## Monkey Around

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Uncover the secret behind the puzzling Monkey Around exhibit at the National Museum of Mathematics. This video focuses on the properties of rotations and challenges your critical thinking skills. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.

## What's a 360?

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In this video segment from Cyberchase, Harry is snowboarding and wants to do a move on his snowboard known as a "360." He is not sure what exactly a "360" is, but a snowboard instructor teaches him about angles and snowboard moves. Harry finally creates his own snowboard version of a "360."

## Proportional Scaling

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Examine some of the complexities and complications inherent in the development of a micro engine. This video focuses on how MIT researchers have to consider proportions comparing volume and surface area when factoring heat loss, taking math out of the classroom and into real world problem solving.

## Determining Surface Area with Unit Blocks

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Use your spatial reasoning skills to calculate the surface area when given a 3D figure. This video focuses on a right rectangular prism and shows you how unit blocks can help you visualize, then calculate the surface area. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers. This resource is part of the Math at the Core: Middle School collection.

## Calculating Volume: Tunnel Construction

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Investigate some of the mathematical challenges Boston engineers had to deal with during the Central Artery Tunnel Project (the "Big Dig"). This video focuses on the irregular shape of the casting basin and the volume calculations required to make the casting basin work, taking math out of the classroom and into real world problem solving.

## Slope and House Construction

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Discover how math is required for quality construction when a Master Carpenter shares his experience and expertise. This video focuses on explaining slope as rise over run and shows how slope comes into play when building homes to take math out of the classroom and into real world problem solving. This resource is part of the Math at the Core: Middle School collection.

## Escaramuza: Coordinates, Reflection, Rotation

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Using footage from a real-life equestrian event, draw a two-dimensional diagram and learn to reflect a representation of it on a coordinate graph in this video from Center for Asian American Media. This resource is part of the Math at the Core: Middle School Collection.

## Graphing Points on a Coordinate Plane: Harry’s Feet Compete

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In this video from Cyberchase, Harry decides he needs to start a regular workout schedule. He uses a graph to record his progress. In the accompanying classroom activity, students play a ball-balancing game and record their attempts on a graph to build on the concepts presented in the video. This resource is part of the Math at the Core: Middle School Collection.

## Scale City | Scaling Up Rectangles in the Real World

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In this video, students explore Depression-era post office murals and modern outdoor murals to learn how artists use proportional reasoning and measurement to create large-scale paintings. The video ends with the question, "How do artists use math to create large-scale paintings?" In the accompanying classroom activity, students create a group mural by using a predetermined scale factor to increase the size of a rectangular print or drawing.

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Whether flying a plane, figuring out the size of a tiered cake, or riding your bike, slope is important! Get excited about rise over run by viewing this math lesson that walks you through a few of the many resources available to help you understand the concept of slope from that are available from PBS LearningMedia. This lesson demonstrates interactives from the Math at the Core: Middle School collection and was hosted by PBS LearningMedia and Google's Connected Classrooms.

## Volume of a Rectangular Prism: Fractional Dimensions

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Find the volume of a rectangular prism with fractional dimensions.

## Area and Perimeter of Polygons: Finding Area by Rearranging the Parts

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Learn how to rearrange the parts of geometric figures to find the area.

## Real-Life Math | Athletic Trainer

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Students learn the variety of ways in which mathematics is used by a collegiate athletic trainer as he implements strength and conditioning programs for athletes in this video from KAET–Arizona PBS.