Download MAFS.7.G.2.5 - Use facts about supplementary, complementary

Standard #: MAFS.7.G.2.5
This document was generated on CPALMS - www.cpalms.org
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an
unknown angle in a figure.
Subject Area: Mathematics
Grade: 7
Domain: Geometry
Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. -
Date Adopted or Revised: 02/14
Additional Cluster
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the
coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the
supporting clusters.
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved
Related Courses
Course Number
1204000:
1205040:
1205050:
7812020:
Course Title
M/J Intensive Mathematics (MC) (Specifically in versions: 2014 - 2015, 2015 and beyond (current))
M/J Mathematics 2 (Specifically in versions: 2014 - 2015, 2015 and beyond (current))
M/J Mathematics 2, Advanced (Specifically in versions: 2014 - 2015, 2015 and beyond (current))
Access M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 and beyond (current))
Related Access Points
Access Point
Access Points Number
MAFS.7.G.2.AP.5a:
MAFS.7.G.2.AP.5b:
MAFS.7.G.2.AP.5c:
MAFS.7.G.2.AP.5d:
Access Points Title
Given equal fractional parts of a circle (up to 8), find the measure of a central angle.
Find the measure of a missing angle inside a triangle.
Find the measure of a missing angle in a linear pair.
Identify vertical angles using visual models and find their measures.
Related Resources
Lesson Plan
Name
Description
This lesson has students investigate the pattern between the number of sides and the sum of the interior angles of
regular and non-regular polygons. First they will use the angle sum tool to draw polygons with different angle measures
to see what happens to the angles and their sum. Next they will use triangulation to find the interior angles to polygons
Adding It All Up:
they have drawn. They will compare their results with a partner in order to develop a formula that shows the
relationship between angles and the number of sides.
(from NCTM Illuminations)
This lesson allows students to discover complementary and supplementary angles on their own. Students will measure
the degrees for sets of angles. They will then use their knowledge of straight, right, obtuse, and acute angles to make
Angles, angles, everywhere!:
connections to complementary, supplementary, adjacent, and vertical angles. This lesson will complement all different
learning styles because it provides kinesthetic, auditory, and visual learning.
This lesson is intended to help you assess how well students are able to use geometric properties to solve problems. In
particular, it will support you in identifying and helping students who have the following difficulties:
Applying Angle Theorems:
Solving problems relating to using the measures of the interior angles of polygons.
Solving problems relating to using the measures of the exterior angles of polygons.
Kissing Vs:
Mirror Maze:
This lesson uses a paper cutting activity to teach vertical angles. The lesson provides examples in which students must
solve equations to find missing measures.
In this interdisciplinary lesson, students will discover the relationship between a beam of light and the reflection of that
beam as it applies to angle relationships. Students will then use their knowledge to create mirror mazes that use a
combination of different angles to hit a specific target.
page 1 of 3 This lesson uses the MyStemKits.com Mirror Maze Kit.
What's Your Angle?:
Students, through a hands-on-activity and guided practice, will explore parallel lines intersected by a transversal and the
measurements and relationships of the 8 angles created. They will solve for missing measurements when given a single
angle's measurement. They will also use the relationships between angles to set up equations and solve for a variable.
Virtual Manipulative
Name
Angle Sums:
Description
This applet allows users to manipulate polygons (from triangles up to octagons) in order to find the relationship
between the sum of the interior angles and the number of sides.
Image/Photograph
Name
Angles (Clipart ETC):
Description
This large collection of clipart contains images of angles that can be freely used in lesson plans, worksheets, and
presentations.
Formative Assessment
Name
Find the Angle Measure:
Description
This lesson unit is intended to help you assess how well students are able to use geometric properties to solve
problems. In particular, it will support you in identifying and helping students who have the following difficulties with
solving problems related to the interior or exterior angles of polygons.
Students are asked to use knowledge of angle relationships to write and solve equations to determine unknown angle
measures.
Solve for the Angle:
Students are asked to write and solve equations to determine unknown angle measures in supplementary and
complementary angle pairs.
Straight Angles:
Students are asked to write and solve equations to determine unknown angle measures in supplementary angle
relationships.
What Is Your Angle?:
Students are asked use knowledge of angle relationships to write and solve an equation to determine an unknown
angle measure.
Applying Angle Theorems:
Tutorial
Name
Complementary and
Supplementary Angles:
Find Measure of Angles in a
Word Problem:
Find Measure of
Complementary Angles:
Find Measure of
Supplementary Angles:
Find Measure of Vertical
Angles:
Finding missing angle
measures:
Finding the measure of
complementary angles:
Description
We will understand the difference between supplementary angles and complementary angles, by using the given
measurements of angles.
This video demonstrates solving a word problem involving angle measures.
Let's use algebra to find the measure of two complementary angles.
Let's use algebra to find the measure of supplementary angles, whose sum is 180 degrees.
This video uses knowledge of vertical angles to solve for the variable and the angle measures.
In this tutorial students are asked to find missing angle measures from a variety of examples.
In this example, students will use algebra to find the measure of two angles whose sum equals 90 degrees, better
known as complementary angles.
Introduction to Vertical Angles: This video uses facts about supplementary and adjacent angles to introduce vertical angles.
Proof: Vertical Angles are
This 5 minute video gives the proof that vertical angles are equal.
Equal:
Vertical, Adjacent and Linearly This resource will allow students to have a good understanding about vertical, adjacent and linear pairs of angles.
Paired Angles:
Educational Software / Tool
Name
Glossary:
Description
This resource is an online glossary to find the meaning of math terms. Students can also use the online glossary to
find words that are related to the word typed in the search box. For example: Type in "transversal" and 11 other
terms will come up. Click on one of those terms and its meaning is displayed.
Assessment
Name
Sample 2 - Seventh Grade
Math State Interim
Assessment:
Description
This is a State Interim Assessment for seventh grade.
Educational Game
Name
Description
page 2 of 3 Tangled Web: An Angle
Relationships Game:
You are a robotic spider tangled up in an angular web. Use your knowledge of angle relationships to collect flies and
teleport through wormholes to rescue your spider family!
Student Resources
Name
Angle Sums:
Description
This applet allows users to manipulate polygons (from triangles up to octagons) in order to find the relationship between the
sum of the interior angles and the number of sides.
Complementary and We will understand the difference between supplementary angles and complementary angles, by using the given
Supplementary Angles: measurements of angles.
Find Measure of
This video demonstrates solving a word problem involving angle measures.
Angles in a Word
Problem:
Find Measure of
Let's use algebra to find the measure of two complementary angles.
Complementary
Angles:
Find Measure of
Let's use algebra to find the measure of supplementary angles, whose sum is 180 degrees.
Supplementary Angles:
Find Measure of
This video uses knowledge of vertical angles to solve for the variable and the angle measures.
Vertical Angles:
In this tutorial students are asked to find missing angle measures from a variety of examples.
Finding missing angle
measures:
Finding the measure of In this example, students will use algebra to find the measure of two angles whose sum equals 90 degrees, better known as
complementary
complementary angles.
angles:
This resource is an online glossary to find the meaning of math terms. Students can also use the online glossary to find
words that are related to the word typed in the search box. For example: Type in "transversal" and 11 other terms will come
Glossary:
up. Click on one of those terms and its meaning is displayed.
Introduction to Vertical This video uses facts about supplementary and adjacent angles to introduce vertical angles.
Angles:
Proof: Vertical Angles This 5 minute video gives the proof that vertical angles are equal.
are Equal:
Vertical, Adjacent and This resource will allow students to have a good understanding about vertical, adjacent and linear pairs of angles.
Linearly Paired Angles:
Parent Resources
Name
Glossary:
Description
This resource is an online glossary to find the meaning of math terms. Students can also use the online glossary to find
words that are related to the word typed in the search box. For example: Type in "transversal" and 11 other terms will come
up. Click on one of those terms and its meaning is displayed.
page 3 of 3