Transcript Class PP-SD 2.3 Polygons in Nature.pptx
1.
2.
Quick Start Expectations
Come in and sit quietly.
Fill in planner and HWRS: 3.
p. 54&57; #12-13, 20
Read today’s target question:
Which regular polygons can be used to tile a surface without overlaps or gaps? How do you know your answer is correct?
3.
Work on
Warm-up
Warm-up Answers
S =
Angle Sum
S = 180 (n - 2) or S = 180n - 360 3 4 5
Measure of EACH Angle Angle Sum ÷ Number of Sides A = 180 (n – 2)
n or
A = 180n – 360
n or
A = 180 - 360
n
3 4 5
o Online Tessellation Activity In your notes, list the polygons that work and don’t work.
What is the measure of each angle in a regular polygon of n sides?
A = 180 (n – 2)
n
What is the sum of the measures of the angles around each vertex point in a tiling?
360º How do the answers to the first two questions explain the different results when tiling is attempted with different polygons?
The angles that meet in a tiling are equal and must be factors of 360º
The measure of all the angles coming together equals 360 degrees .
Pentagons, heptagons, octagons The measure of the interior angles increase .
No, because the angles coming together will be too large. They won’t combine to be 360 degrees.
The measure of all the angles coming together equals 360 degrees.
Homework
Textbook:
CMP3 Grade 7
Unit:
Shapes and Designs p. 54&57; #12-13, 20