ALEX Classroom Resource

  

Adjacent Angles

  Classroom Resource Information  

Title:

 Adjacent Angles

URL:

 https://aptv.pbslearningmedia.org/resource/our20-math-772/adjacent-angles/

Content Source:

 PBS
Type: Audio/Video

Overview:

In this video lesson, students are introduced to the terms complementary, for describing two angles whose measures add to 90°, and supplementary, for describing two angles whose measures add to 180°. They practice finding an unknown angle given the measure of another angle that is complementary or supplementary. Students realize that many angles share the same vertex as other angles, so they must be precise when naming each angle (MP6) in addition to describing the relationship between pairs of angles.

Grade 7, Episode 22: Unit 7, Lesson 2 | Illustrative Math

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 7
21. Use facts about supplementary, complementary, vertical, and adjacent angles in multi-step problems to write and solve simple equations for an unknown angle in a figure.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Find the values of angles using complementary and supplementary angle relationships and equations.
  • Identify angle relationships in angle diagrams involving vertical, supplementary, and complementary angles.
  • Write equations to represent relationships between known and unknown angle measurements.
  • Determine the measures of unknown angles and judge the reasonableness of the measures.
Teacher Vocabulary:
  • Supplementary angles
  • Complementary angles
  • vertical angles
  • Adjacent angles
Knowledge:
Students know:
  • supplementary angles are angles whose measures add to 180 degrees.
  • Complementary angles are angles whose measures add to 90 degrees.
  • vertical angles are opposite angles formed when two lines intersect.
  • Adjacent angles are non-overlapping angles which share a common vertex and side.
Skills:
Students are able to:
  • write a simple equation to find an unknown angle.
  • Identify and determine values of angles in complementary and supplementary relationships.
  • Identify pairs of vertical angles in angle diagrams.
  • Identify pairs of complementary and supplementary angles in angle diagrams.
  • Use vertical, complementary, and supplementary angle relationships to find missing angles.
Understanding:
Students understand that:
  • vertical angles are the pair of angles formed across from one another when two lines intersect, and that the measurements of vertical angles are congruent.
  • Complementary angles are angles whose measures add up to 90o, and supplementary angles are angles whose measures add up to 180o.
  • Relationships between angles depends on where the angles are located.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.7.21.1: Define supplementary angles, complementary angles, vertical angles, adjacent angles, parallel lines, perpendicular lines, and intersecting lines.
M.7.21.2: Discuss strategies for solving multi-step problems and equations.
M.7.21.3: Identify all types of angles.
M.7.21.4: Identify right angles and straight angles.

Prior Knowledge Skills:
  • Model using a protractor to draw angles.
  • Draw points, lines, line segments, and parallel and perpendicular lines, angles, and rays.
  • Define vertex/vertices and angle.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.7.21 Classify angles as acute, obtuse, right, or straight.
Mathematics
MA2019 (2019)
Grade: 7
Accelerated
37. Use facts about supplementary, complementary, vertical, and adjacent angles in multi-step problems to write and solve simple equations for an unknown angle in a figure. [Grade 7, 21]
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Find the values of angles using complementary and supplementary angle relationships and equations.
  • Identify angle relationships in angle diagrams involving vertical, supplementary, and complementary angles.
  • Write equations to represent relationships between known and unknown angle measurements.
  • Determine the measures of unknown angles and judge the reasonableness of the measures.
Teacher Vocabulary:
  • Supplementary angles
  • Complementary angles
  • vertical angles
  • Adjacent angles
Knowledge:
Students know:
  • supplementary angles are angles whose measures add to 180 degrees.
  • Complementary angles are angles whose measures add to 90 degrees.
  • vertical angles are opposite angles formed when two lines intersect.
  • Adjacent angles are non-overlapping angles which share a common vertex and side.
Skills:
Students are able to:
  • write a simple equation to find an unknown angle.
  • Identify and determine values of angles in complementary and supplementary relationships.
  • Identify pairs of vertical angles in angle diagrams.
  • Identify pairs of complementary and supplementary angles in angle diagrams.
  • Use vertical, complementary, and supplementary angle relationships to find missing angles.
Understanding:
Students understand that:
  • vertical angles are the pair of angles formed across from one another when two lines intersect, and that the measurements of vertical angles are congruent.
  • Complementary angles are angles whose measures add up to 90o, and supplementary angles are angles whose measures add up to 180o.
  • Relationships between angles depends on where the angles are located.
Diverse Learning Needs:
Tags: angles, complementary, straight angle, supplementary
License Type: Custom Permission Type
See Terms: https://aptv.pbslearningmedia.org/help/terms-of-use/
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityVideo resources: includes closed captioning or subtitles
Comments

Additional activity and practice pages are provided for this video lesson.

  This resource provided by:  
Author: Kristy Lacks
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