Download Unit 7

Department: Math
Understanding by Design
Course: Geo Honors
Standard(s): Understand congruence in terms of rigid motions
Prove Geometric Theorems
Stage 1: Desired Results
Understandings
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STUDENTS WILL UNDERSTAND
• To be able to name a polygon
• To be able to find the sum of the
measures of the interior and exterior
angles of a polygon.
• To be able to find the measure of each
interior and exterior angle of a regular
polygon.
• To be able to find the number of
diagonals in a polygon.
Essential Questions
Knowledge & Skill
• What is a polygon?
• How are polygons used in real life situations?
• What is the relationship between the number of sides and
the angle measures in
a polygon?
• What is the relationship between the number of sides and
the number of diagonals in
a polygon?
Chapter 7 Vocabulary
Section 7.1
Exterior angle
Section 7.2
Section 7.3
Decagon
Dodecagon
Heptagon
Hexagon
Interior angle
Nonagon
Octagon
Pentadecagon
Pentagon
Undecagon
Section 7.4
Regular polygonChapter 7 - I Can Statements
Section 7.1
I can apply theorems about the interior angles, the exterior
angles, and the midlines of triangles.
I can state the sum of the measures of the three angles of a
triangle.
I can identify an exterior angle in a diagram.
I can recognize the relationship between an exterior angle
and the sum of the measures of the remote interior angles
in a triangle.
I can recall and apply the Midline Theorem. (A segment
joining the midpoint of 2 sides of a triangle is parallel to
the 3rd side, and its length is ½ the length of the 3rd side).
Section 7.2
I can call and apply the No-Choice Theorem. (If 2 angles
of one triangle are congruent to 2 angles of a second
triangle, then the third angles are congruent).
I can identify included and non-included sides of a
triangle.
I can apply the AAS postulate accurately.
Section 7.3
I can name a polygon given the number of sides (or
vertices).
I can recall and apply the interior angle theorem for a
polygon. (Si = (n – 2)180)
I can recall and apply the exterior angle theorem for a
polygon. (Se = 360)
I can recall and apply the formula to find the number of
diagonals in a particular polygon given the number of
sides. ( d = (n(n-3))/2 )
I can identify and define decagon, dodecagon,
heptagon, hexagon, interior angle,
octagon, pentadecagon, pentagon, and nonagon.
Section 7.4
I can recognize and define a regular polygon.
I can use a formula to find the measure of an
exterior angle of an equiangular
polygon. (E= 360/n )
Stage 2: Assessment Evidence
Classroom Discussion
Mastery Checks
Quizzes
Tests
Student led proofs
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Performance Task Summary
Rubric Titles
Answering questions in class
Presenting solutions
Group Posters
Graphic Organizers
Self-Assessments
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Mastery Checks
Clickers
Quick Checks
Other Evidence, Summarized
Other assessment information will be obtained through
observations, classroom participation, class discussion &
interactions, and scaffold learning.
Stage 3: Learning Activities
• Complete problems involving angles and diagonals in a polygon.
• Complete a project involving tessellations and/or string art.
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