Download Export To Word

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. - 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.
Date Adopted or Revised: 02/14
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 Point 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 Point 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
Adding It All Up
Angles, angles, everywhere!
Applying Angle Theorems
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 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 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:

Solving problems relating to using the measures of the
interior angles of polygons.

Kissing Vs
Mirror Maze
What's Your Angle?
Solving problems relating to using the measures of the
exterior angles of polygons.
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.
This lesson uses the MyStemKits.com Mirror Maze Kit.
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
Applying Angle Theorems
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.
Find the Angle Measure
Solve for the Angle
Straight Angles
What Is Your Angle?
Students are asked to use knowledge of angle relationships to
write and solve equations to determine unknown angle
measures.
Students are asked to write and solve equations to determine
unknown angle measures in supplementary and complementary
angle pairs.
Students are asked to write and solve equations to determine
unknown angle measures in supplementary angle relationships.
Students are asked use knowledge of angle relationships to write
and solve an equation to determine an unknown angle measure.
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
Introduction to Vertical
Angles
Proof: Vertical Angles are
Equal
Vertical, Adjacent and
Linearly Paired 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.
This video uses facts about supplementary and adjacent angles
to introduce vertical angles.
This 5 minute video gives the proof that vertical angles are
equal.
This resource will allow students to have a good understanding
about vertical, adjacent and linear pairs of angles.
Educational Software / Tool
Name
Description
Glossary
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
Tangled Web: An Angle
Relationships Game
Description
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
Description
This applet allows users to manipulate polygons (from triangles up to
Angle Sums
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
Supplementary Angles complementary angles, by using the given measurements of angles.
Find Measure of
This video demonstrates solving a word problem involving angle
Angles in a Word
measures.
Problem
Find Measure of
Complementary
Let's use algebra to find the measure of two complementary angles.
Angles
Find Measure of
Let's use algebra to find the measure of supplementary angles, whose
Supplementary Angles sum is 180 degrees.
Find Measure of
This video uses knowledge of vertical angles to solve for the variable
Vertical Angles
and the angle measures.
In this tutorial students are asked to find missing angle measures from a
Finding missing angle
variety of examples.
measures
Finding the measure
of complementary
angles
Glossary
In this example, students will use algebra to find the measure of two
angles whose sum equals 90 degrees, better known as complementary
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 up. Click on one of those terms and its
meaning is displayed.
This video uses facts about supplementary and adjacent angles to
introduce vertical angles.
Introduction to
Vertical 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
Linearly Paired
vertical, adjacent and linear pairs of angles.
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.