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Standard #: MA.912.G.2.2 (Archived
Standard)
This document was generated on CPALMS - www.cpalms.org
Determine the measures of interior and exterior angles of polygons, justifying the method used.
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Geometry
Standard: Polygons - Identify and describe polygons (triangles, quadrilaterals, pentagons,
hexagons, etc.), using terms such as regular, convex, and concave. Find measures of angles,
sides, perimeters, and areas of polygons, justifying the methods used. Apply transformations to
polygons. Relate geometry to algebra by using coordinate geometry to determine
transformations. Use algebraic reasoning to determine congruence, similarity, and symmetry.
Create and verify tessellations of the plane using polygons.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More
Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Remarks/Examples
Example 1: Calculate the measure of one interior angle and one exterior of a regular octagon. Explain your method.
Example 2: Suppose that you will make a picture frame like the one shown below. To make the regular hexagonal
frame, you will use identical trapezoidal pieces. What are the measures of the angles of the trapezoids? Explain your
answer.
TEST ITEM SPECIFICATIONS
Reporting Category: Geometry
Item Type(s): This benchmark will be assessed using: MC , FR item(s)
Clarification :
Students will determine the measures of interior and exterior angles of polygons.
Content Limits :
All angle measurements will be in degrees.
Stimulus Attributes :
Items may be set in either real-world or mathematical contexts.
Graphics should be used in these items, as appropriate.
SAMPLE TEST ITEMS (2)
Test
Item #
Sample
Item 1
Question
Difficulty Type
A regular hexagon and a regular heptagon share one side, as N/A
shown in the diagram below.
Which of the following is closest to the measure of x, the
angle formed by one side of the hexagon and one side of the
heptagon?
MC:
Multiple
Choice
Sample
Item 2
Claire is drawing a regular polygon. She has drawn two of
the sides with an interior angle of 140°, as shown below.
N/A
FR: Fill-in
Response
When Claire completes the regular polygon, what should be
the sum, in degrees, of the measures of the interior angles?
Related Access Points
Independent
Access Point Number
MA.912.G.2.In.b
Access Point Title
Use tools to measure angles including 45° and 90°.
Supported
Access Point Number
MA.912.G.2.Su.b
Access Point Title
Use a model of a right triangle to compare the size of angles,
such as acute, obtuse, and right angles.
Participatory
Access Point Number
MA.912.G.2.Pa.a
Access Point Title
Identify objects or pictures with polygons.
Related Resources
Lesson Plan
Name
Triangles: Finding Interior
Angle Measures
Description
In this lesson plan, students will start with a hands-on activity
and then experiment with a GeoGebra-based computer model to
investigate and discover the Triangle Angle Sum Theorem.
Then they will use the Triangle Angle Sum Theorem to write
and solve equations and find missing angle measures in a
variety of examples.