Quick Start Expectations 1.Come in and sit quietly. 2.Fill in planner and HWRS: 3.Read today’s target question: Which regular polygons can be used to tile.

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Presentation transcript:

Quick Start Expectations 1.Come in and sit quietly. 2.Fill in planner and HWRS: 3.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 p. 54&57; #12-13, 20

Warm-up Answers

S =

S = 180 (n - 2) S = 180n Angle Sum or 3 4 5

3 4 5 Measure of EACH Angle A = 180 (n – 2) n or A = 180n – 360 n A = n or Angle Sum ÷ Number of Sides

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? 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 A = 180 (n – 2) n

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