5.6 Quadrilaterals
Interior Angles
I.SectionObjectives
- Identify the interior angles of convex polygons.
- Find the sums of interior angles in convex polygons.
- Identify the special properties of interior angles in convex quadrilaterals.
II.ProblemSolvingActivity-PentagonCleaning
- Figure 06.01.01 Pentagon
- Here is the problem.
- “Washers Cleaning Company is in charge of cleaning the entire pentagon. This cleaning company is unique
because it is made up of people who love math. Because of this, they clean the Pentagon in triangular sections,
figuring out how much has been completed and how much is left based on degrees. If they have cleaned^23 of
the Pentagon, how many degrees are left to clean?” - Steps to solving this problem:
- To solve this problem, the students will need to figure out some things.
- How many triangles are there in a pentagon?
- How many degrees are there in a pentagon?
- If^23 is clean, than^13 is left to be cleaned.
- How many degrees are in the^13?
- Finally, use all of this information to figure out the solution to the problem.
- Students need to use diagrams to demonstrate their solution as well as writing.
III.MeetingObjectives
- Students will identify the interior angles of convex polygons.
- Students will find the sums of interior angles in convex polygons.
- Students will demonstrate understanding through diagrams and writing.
IV.NotesonAssessment
- Does student work show all of the information in steps 1 – 5?
- Did the students figure out that the missing number of degrees is 180◦?
- Listen to students explain their solutions.
- Offer suggestions and feedback when necessary.
Exterior Angles
I.SectionObjectives
5.6. Quadrilaterals