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Transcript
Teacher: __Krista Wilson__
Daily Lesson Plan Format
For Vertical Team Meeting
Course Title_Geometry_ Period ___________Date 2/10/2010
Unit Topic Chap. 8.1 Angles of Polygons SOL__ G.3, G.9
Daily Objectives:
1. Review new vocabulary
2. Find the sum of the measures of the interior angles of a polygon
3. Find the sum of the measures of the exterior angles of a polygon
Essential Knowledge or Skills:
The student will review and discuss the new vocabulary. The student will
find the sum of (and measures) interior and exterior angles of polygons using
construction and completing tables. The student will determine the Interior Angle
Sum Theorem. The student will solve problems and find missing measures of
interior and exterior angles of a polygon.
Classroom Activities
1. Warm-up (overhead intro – “what is a polygon?”)
2. Hands-on Worksheet – diagonals
3. Algebraic and mathematical solutions
4. Group work pg 407 4-8,10-12
* Graphical solutions
Time Blocks
(minutes)
5
10
10
13
Materials:
Handouts – diagonals, straight edge, protractor, airliner tablet, power
point/SMART board
Homework Assignment:
GEOMETRY PG. 407 DO: 13-15, 24-28, 43,44 (day 1)
Assessment:
student questions and responses, group work
Notes: Power Point: “What is a polygon?” (closed-sided figure, 3 sides or more, straight
sides), what is a quadrilateral? (4-sided polygon), name other polygons (triangle,
hexagon, heptagon, etc), what does it mean for a polygon to be convex/concave? (convex
– sides out, concave – some sides may “cave in”, that is, a point is in the interior of the
polygon – pg. 45 textbook), what is a diagonal? (a line segment that connects any two
nonconsecutive vertices). Review vocab as needed.
Handout: For each polygon, show all possible diagonals from ONE vertex. Name the
convex polygon, complete the table (on back). Note: it all relates to the number of
triangles drawn and that the sum of the angles of any triangle is 180. The polygons must
be convex. The polygons are all “regular” polygons (equal lengths of sides) but they
don’t always have to be. Derive the Interior Angle Sum Theorem. Note the Exterior
Angle Sum
Algebraic: Find the measures of the interior angles of a quadrilaterial RSTU if
m<S=m<U= (11x + 4) and m<T=m<R = 5x (ex. From Glencoe textbook pg. 405)
Mathematically – The measures of an interior angle of a regular polygon is 135. Find the
number of sides of the polygon.
(ex. From Glencoe textbook pg. 405)
*Graphically: Have students measure angles of precut regular polygons of various
number of sides to determine if the Theorems work.