Thursday, September 29, 2016

Inv 2.2 - Angle Sum of Any Polygon

Focus Questions: What is the angle sum of any polygon with n sides? How do you know that your formula is correct?

Students went over different methods of finding angle sums of any polygon from ripping corners to dividing shapes into triangles.

Here are some pictures of today's activity.

Monday, September 26, 2016

2.1 Investigtion

Focus Question: What are 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
A = 180 - 360/n   
when n = any number of sides of a polygon

Link to Interactive Protractor

Saturday, September 24, 2016

Inv 1.4 and 1.5

Investigation 1.4
Focus Questions: When a drawing shows two rays with a common endpoint how many rotation angles are there? How would you estimate the measure of each angle? How do you measure and angle with an angle ruler and a protractor?

Important vocabulary:

  • supplementary angle - angles that add up to 180˚
  • complementary angle- angles that add up to 90˚

Here are the notes from today's class and the 1.3 and 1.4 homework.

Here is a sheet to help with benchmark angles.  This was given as a hard copy to all the students.

Focus Question: In a triangle, what measures of side length and angles give enough information to draw a figure?

(These notes cover the Investigation Questions A and B from class.)

Wednesday, September 14, 2016

Investigation 1.3- Estimating Angles

Estimating measures of an angle

Here is a helpful game estimating angles
Link to beehive game.

HINT:  Use your benchmark angles and estimate.

Monday, September 12, 2016

Skill Sheet #2

Skills Sheet #2 can be accessed here.

Investigation 1.1 and 1.2

Access today's notes here.
Inv 1.1 and 1.2. 

Focus Questions:
1. What properties do all polygon's share?
2. What are some common benchmark angles?

The Four in a Row game is a great way to learn benchmark angles

Friday, September 9, 2016

Investigation 1.1

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 is a picture of the students in action with the shape sets.