ALEX | Alabama Learning Exchange

Nonadjacent Angles

Classroom Resource Information

Title:

Nonadjacent Angles

URL:

https://aptv.pbslearningmedia.org/resource/our20-math-773/nonadjacent-angles/

Content Source:

PBS

Type:

Audio/Video

Overview:

In this video lesson, students see that angles do not need to be adjacent to be complementary or supplementary. Students are also introduced to and begin to use the term vertical angles for describing the opposite angles formed when two lines cross. They examine multiple examples and see that the vertical angles have equal measures. Students can relate this understanding to the fact that both angles in a pair of vertical angles are supplementary to the same angle in between. By the end of the lesson, students will be able to see the different ways of making pairs of supplementary angles in two crossing lines.

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 90^o, and supplementary angles are angles whose measures add up to 180^o.
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 90^o, and supplementary angles are angles whose measures add up to 180^o.
Relationships between angles depends on where the angles are located.

Diverse Learning Needs:

Tags:

angles, complementary, straight angle, supplementary, vertical angles

License Type:

Public Domain
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses

Accessibility

Video resources: includes closed captioning or subtitles

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