Geometry

Predicting Travel Time Using Line Graphs

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In this Cyberchase video segment, Harry wants to visit his grandmother. He decides that the cheapest way for him to get there is to travel by unicycle, but he wonders if he can get there before dark. Using a line graph, he tries to predict the amount of time it will take to travel the twenty miles, assuming he travels at a constant speed. Once he sets out on his unicycle, he charts his progress on a new line graph. After the first hour he appears to be ahead of schedule, but he is not able to keep up the pace and soon finds himself falling behind.

Calculating Rectangular Area | Cyberchase

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In this video segment from Cyberchase, the CyberSquad must measure two differently-shaped parcels of land to determine which has a larger area. The CyberSquad uses tarps, fence posts, and finally a grid made out of rope to count squares and determine the area of each parcel.

Scale City: Greetings from Sky-Vue Drive-In

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Greetings from Sky-Vue Drive-In takes students on a tour through the history of drive-in theaters and a visit to one that's still open and thriving in Winchester, Kentucky. Looking at shadows through the drive-in movie projector introduces the relationship of a shadow's size to its distance from the light source.

Angle Basics: Measuring Angles In Degrees

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Let's find an exact way to measure an angle using a protractor. We'll also learn about acute angles.

Translations and Reflections

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Watch an animated demonstration of translating and reflecting a triangle on the coordinate plane in this video from KCPT. In the accompanying classroom activity, students watch the video and then consider the effect of translating and reflecting on the coordinates of the vertices of the triangle. Next, they draw translations and reflections of a triangle and identify the number of units and direction of translation as well as the lines of reflection in classmates drawings. To get the most from the lesson, students should be comfortable graphing points on the coordinate plane. Prior exposure to reflection is helpful.

The Pythagorean Theorem: Right Triangles

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Learn about the Pythagorean Theorem and how it applies to right triangles.

Parallel and Perpendicular Lines: Introduction

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Do the lines intersect or stay apart? If they intersect, do they create a 90 degree angle? These are the questions we ask about parallel and perpendicular lines.

Applying the Pythagorean Theorem

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In this video, watch an animated demonstration of using the Pythagorean theorem to find an unknown side of a right triangle. In the accompanying classroom activity, students solve problems in which they apply the Pythagorean theorem to find the sides of right triangles and to determine whether a set of triangle sides form a right triangle. To get the most from this lesson, students should be comfortable using a calculator to find square roots. They should also have experience solving equations involving an unknown square.

The Pythagorean Formula: Distance Between Lines

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How to find the distance between lines using the Pythagorean Formula

Measuring Segments: Geometry - Language and Labels

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Before learning any new concept (mathematical or otherwise), it's important to learn and use a common language and label concepts consistently.

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