- Identify the exterior angles of convex polygons.
- Find the sums of exterior angles in convex polygons.
II.ProblemSolvingActivity-TheGardenDilemma
- Here is the problem.
- “Johanna has designed a garden in the shape of a hexagon for the local botanical garden. She is very proud
of her work. Each vertex of the hexagon has one garden path that extends from it making the garden a central
feature of the botanical garden. The carpenter who works at the botanical garden wants to design an edging
for each angle of the pentagon. To do this, he needs your help. He knows the measure for three of the exterior
angles and he needs to find the measure of the other two. He knows that these two angles are congruent. Use
the figure to find the measure of the two missing angles.” - Figure 06.02.01
- Students need to draw a picture to illustrate this problem.
- Students need to write about how they solved the problem.
- Students need to explain their work to the class.
III.MeetingObjectives
- Students will identify the exterior angles of convex polygons.
- Students will find the sums of exterior angles in convex polygons.
- Students will show their work in a diagram or drawing.
- Students will write a written explanation of their work.
IV.NotesonAssessment
- Here is the simple solution to the problem.
- 50+ 110 + 80 = 240
- 360− 240 = 120
- Because the two remaining angles are congruent, we can divide this number by two.
- This leaves us with each remaining angle being equal to 60◦.
- a= 60 ◦
- b= 60 ◦
- Check student work to be sure that the students have included all of the important components of solving this
problem. - Listen as students explain their work and offer suggestions/feedback when needed.
Classifying Quadrilaterals
I.SectionObjectives
- Identify and classify a parallelogram.
- Identify and classify a rhombus.
- Identify and classify a rectangle.
- Identify and classify a square.
- Identify and classify a kite.
- Identify and classify a trapezoid.
- Identify and classify an isosceles trapezoid.
- Collect the classifications in a Venn diagram.
Chapter 5. Geometry TE - Problem Solving