The focus question is: What is the size of each angle and the sum of all angles in a regular polygon with n sides?
The students will review what is important in a polygon and how regular and irregular polygons compare. The goal is for students to develop formulas the sum of interior angles for a polygon of n sides.
S - Sum of all angles S = 180 (n - 2) when n = any number of sides of a polygon A - measure of one angle A = 180 (n - 2)/ n OR A = 180 - 360/n when n = any number of sides of a polygon
2. What properties do some sub-groups of polygons share?
1. What are some common benchmark angles?
2. What part of a full turn is each angle equal to?
1. When a drawing shows two rays with a common endpoint how many rotation angles are there?
2. How would you estimate the measure of each angle?
1. How do you measure and angle with an angle ruler and a protractor?
1. In a triangle, what measures of sides and angles give just enough information to draw a figure that is uniquely determined?
Need to Know:
1. Finding angle measurements using a protractor.
2. Properties of shapes
3. Drawing angles and polygons given specific measurements
4. Investigation Vocabulary: polygon, regular polygon, rotation. supplementary and complementary angles, obtuse and acute angles, straight angles, reflex angles, right angles
5. Correctly naming and labeling an angle
Focus Question: In a triangle, what measures of side length and angles give enough information to draw a figure? We completed Investigation 1.5 together in class and the students need to complete B #2-6 for homework. Notes from class- click here to access
(These notes cover the Investigation Questions A and B from class.)
Today, we talked about producing quality homework. This year, students will receive a grade for homework. However, the grade will not be based on the number right or wrong, but on the work's completion, quality, and correction/reflection. Approximately one assignment per week will be collected and contribute to an overall term homework grade.
Here is the homework descriptor that was handed out to students:
7th Grade Math Homework Expectations
1. Completion - All assigned problems have been attempted and completed with work shown. If there are incomplete or partially completed problems, questions should be written in place of work and contact with your teacher should be made (email, face-to-face prior to or at the beginning of class).
2. Quality - Work has your name, assignment title (page number, problems and investigation), and date at the top of the page. Work is legible and organized.
3. Correction & Reflection - Work is not erased and corrections (if needed) are done in a different color. At the bottom of the page rank yourself from 1- 5 (1 = not understanding the content, 5 = solid understanding of content) and write a thought about the work you completed.
If you did well, what was the key to your success on this work?
If you found the work challenging, what do you need to do to better understand the material? This is a strategy to help you get better at the material covered in class. The sooner you identify that you're finding work challenging, the sooner you're able to get the help you need.
Focus Question: What properties do all polygons have?
Diving into polygons!
In the first section of Shapes and Designs, students spent time defining the characteristics of polygons. Ask your student, "What makes a shape a polygon?" These shapes have some specific properties!
Next, everyone got some hands-on time, looking at a variety of shapes and categorizing them. Most groups categorized the shapes by the number of sides they had, but then many expanded those further into sub-categories. How many different categories can there be for quadrilaterals (four-sided polygons)? Here are some pictures of the students in action with the shape sets.