Review Angle Relationships to Begin Conjecturing About Polygons

Objective

SWBAT apply their existing knowledge of angle relationships (parallel lines postulate, triangle sum) to form conjectures about the properties of a regular hexagon.

Big Idea

Through the kinesthetic act of constructing a regular hexagon, students will conjecture about the angles and diagonals of a regular hexagon.

Review Midterm Exam: Commonly Missed Problems

10 minutes

Since this is planned to be the first lesson of the new semester, I make sure to give students feedback on their performance on the midterm exam.  I take time to briefly discuss some of the most commonly missed problems. In doing so, I keep in mind that I am trying to foster a growth mindset. What's done, is not really done. It is important to be able to apply what we have learned so far. We will begin this process today.

Quick Angles Review

25 minutes

The ability to applying existing knowledge of both angle relationships and triangle properties is a pre-requisite for the first lesson of this unit on polygon properties. In this small review task, students recall the triangle sum theorem and properties of isosceles triangles.  I want them to be able to apply this knowledge to discover something new about regular hexagons.

When I debrief these problems with my students I emphasize the important properties and vocabulary they will need in the regular hexagon exploration. I pay more attention to this today than I would otherwise, because my students have had two weeks off for winter break. It is time to restart their mathematical search engines.