In this animated ÒMath ShortsÓ video, learn about reflection, one type of movement for geometric shapes. The animation begins by relating the geometric meaning of reflection to its more common understandingÑa mirror imageÑand then displays geometric shapes on a coordinate plane reflecting through the x and y axis. The animation also explains how to ensure that a shape has been correctly reflected and how to record the coordinates of a shape and its reflected image.

In this animated ÒMath ShortsÓ video, learn about rotation,which describes how a geometric shape turns around a point, called the center ofrotation. When a geometric shape rotates on a coordinate plane, it stays exactly
the same distance from the center of rotation whether it rotates a quarter-turn or a full-turn, and whether it rotates clockwise or counter-clockwise. However, even though the shape stays the same as it rotates, its coordinates change.

This animated Math Shorts video explains the term scientific notation and provides several examples in converting extreme numbers to and from scientific notation. It also demonstrates how to multiply numbers using scientific notation. In the accompanying classroom activity, students practice writing numbers in scientific notation and develop real-world problems for each other to solve.

In this animated Math Shorts video, see the two-dimensional figures that result from slicing solid three-dimensional figures in plane sections of cylinders and right rectangular pyramids. In the accompanying classroom activity, students create and slice clay figures and then describe the resulting shapes.

In this video, learn a strategy for solving unit rate problems. In the accompanying classroom activity, students watch the video then use grocery store ads to calculate unit rates and compare prices. They share solution strategies and consider ways that unit rates can facilitate making comparisons. To get the most from the activity, students should be comfortable finding equivalent fractions and have had some exposure to the concepts of ratio and unit rate.

In this animated ÒMath ShortsÓ video, learn about translation, which describes one way a geometric shape can move on a coordinate plane. Translation occurs when a geometric shape slides from one location to another. The shape itself doesnÕt change, just its location. The animation also explains mapping notations, which designate how far and in what direction a shape moves.

In this video, learn how photographers use dilations to print the same photograph in larger or smaller sizes. In the accompanying classroom activity, students consider how dilation is a geometric application of scale factor. After a brief refresher on scale, students watch the video. Then, they apply what they have learned by creating larger and smaller dilations of a picture, using the coordinate plane as their canvas. Students consider how both scale factor and the center of dilation influence the size and placement of the drawings they make.

In this video, learn how writing an algebraic equation can help solve a real-life scenario—in this case, determining in advance when to buy a supply of cat food. Learning how to translate a real-life scenario to mathematical language is an important skill. In the accompanying classroom activity, students practice developing expressions and equations from story problems. Special attention is paid to identifying the variable. Students also take turns as mathematicians, coming up with some of their own scenarios for their classmates to solve.

Dani and Jared are excited to have Max Gonzalez, Program Manager at UETN, join them to share information about the new Reimagine Teaching project. As pare of our discussion we learn how teachers can qualify for a $200 stipend related to distance teaching professional development through the CARES Act.