# 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.

## Homework: Write a Letter About Your Goals for the New Semester

5 minutes

At the end of today's lesson, since this is the first day of the new semester, I want my students to leave knowing that as of today they all have a fresh start in the class. For tonight's homework assignment, I ask them to write a letter to me about their goals for the second half of the year.  In the assignment, I ask my students include at least two specific things they plan to continue doing and/or changing, knowing that I will hold them accountable to these actions as I help them to acquire a growth mindset.