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Acute, Right, and Obtuse Angles
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Explains the properties of acute, right, and obtuse angles. [5:33]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Material Type:
Audio/Video
Lesson
Provider:
Khan Academy
Date Added:
11/14/2023
BetterLesson: Finding Angles
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The three types of angles, right, acute, and obtuse, exist in our everyday surroundings. Students find these angles using classroom items.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
BetterLesson
Date Added:
12/01/2022
Geometry Tools: Angles & Reflections
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Students learn about common geometry tools and then learn to use protractors (and Miras, if available) to create and measure angles and reflections. The lesson begins with a recap of the history and modern-day use of protractors, compasses and mirrors. After seeing some class practice problems and completing a set of worksheet-prompted problems, students share their methods and work. Through the lesson, students gain an awareness of the pervasive use of angles, and these tools, for design purposes related to engineering and everyday uses. This lesson prepares students to conduct the associated activity in which they “solve the holes” for hole-in-one multiple-banked angle solutions, make their own one-hole mini-golf courses with their own geometry-based problems and solutions, and then compare their “on paper” solutions to real-world results.

Subject:
Geometry
Mathematics
Material Type:
Lesson
Provider:
TeachEngineering
Author:
Aaron Lamplugh
Devin Rourke
Maia Vadeen
Malinda Zarske
Nathan Coyle
Russell Anderson
Ryan Sullivan
Date Added:
02/17/2021
Math Antics: Triangles
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Gain a basic understanding of triangles by watching easy to understand video tutorial. Additional resources are available as part of a paid subscription service. [7:39]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Math Antics
Date Added:
08/01/2022
Math, Grade 7, Constructions and Angles
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Constructions and Angles

Unit Overview

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Use a protractor and ruler.
Identify different types of triangles and quadrilaterals and their characteristics.

Lesson Flow

After an initial exploratory lesson involving a paper folding activity that gets students thinking in general about angles and figures in a context, the unit is divided into two concept development sections. The first section focuses on types of angles—adjacent, supplementary, complementary, and vertical—and how they are manifested in quadrilaterals. The second section looks at triangles and their properties, including the angle sum, and how this affects other figures.

In the first set of conceptual lessons, students explore different types of angles and where the types of angles appear in quadrilaterals. Students fold paper and observe the angles formed, draw given angles, and explore interactive sketches that test many cases. Students use a protractor and ruler to draw parallelograms with given properties. They explore sketches of parallelograms with specific properties, such as perpendicular diagonals. After concluding the investigation of the angle types, students move on to the next set.

In the second set of conceptual development lessons, students focus on triangles. Students again fold paper to create figures and certain angles, such as complementary angles.

Students draw, using a protractor and ruler, other triangles with given properties. Students then explore triangles with certain known and unknown elements, such as the number of given sides and angles. This process starts with paper folding and drawing and continues with exploration of interactive sketches. Students draw conclusions about which cases allow 0, 1, 2, or an infinite number of triangles. In the course of the exploration, students discover that the sum of the measure of the interior angles of a triangle is 180°. They also learn that the sum of the measures of the interior angles of a quadrilateral is 360°. They explore other polygons to find their angle sum and determine if there is a relationship to angle sum of triangles. The exploration concludes with finding the measure of the interior angles of regular polygons and speculating about how this relates to a circle.

Lastly, students solve equations to find unknown angle measures. Using their previous experience, students find the remaining angle measures in a parallelogram when only one angle measure is given. Students also play a game similar to 20 Questions to identify types of triangles and quadrilaterals. Having completed the remaining lessons, students have a four-day Gallery to explore a variety of problems.

The unit ends with a unit assessment.

Subject:
Geometry
Mathematics
Provider:
Pearson
Math, Grade 7, Constructions and Angles, Classifying Triangles
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Students learn to classify triangles by the size of the angles and the measures of the sides.Key ConceptsTriangles are polygons with three sides.Scalene triangles have all sides with a different length and all angles with a different measure.Isosceles triangles have two sides with the same length and two angles with the same measure.Equilateral triangles have all sides with the same length and all angles with the same measure.Acute triangles have all angles with a measure less than 90°.Obtuse triangles have one angle with a measure greater than 90°.Right triangles have one angle with a measure of 90°.ELL: Keep in mind that consistency at the beginning is very important as students begin to learn and apply math vocabulary.Goals and Learning ObjectivesExplore conditions that result in triangles.Identify types of triangles based on the measure of the angles or the measures of the sides.

Subject:
Geometry
Material Type:
Lesson Plan
Author:
Chris Adcock
Date Added:
03/09/2022
Math Open Reference: Triangles
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A complete reference guide to types of triangles and triangle perimeter and area. It provides definitions and interactive animated activities that enhance further explanation.

Subject:
Mathematics
Material Type:
Interactive
Provider:
Math Open Reference
Date Added:
08/07/2023
What's a 360?
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In this Cyberchase video segment, Harry tries to snowboard and learns how to measure and identify many common angles.

Subject:
Geometry
Mathematics
Material Type:
Lecture
Provider:
PBS LearningMedia
Author:
U.S. Department of Education
WNET
Date Added:
07/03/2008