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Study Link 3.8

Study Link 3.8. When you are finished checking your study link; start on Math Boxes 3.8. 3.9 Angles of polygons. I can find the angle measurement sum for any polygon. Math Message. 1. Draw a large triangle on the blank piece of paper on your desk.

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Study Link 3.8

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  1. Study Link 3.8 When you are finished checking your study link; start on Math Boxes 3.8

  2. 3.9 Angles of polygons I can find the angle measurement sum for any polygon.

  3. Math Message • 1. Draw a large triangle on the blank piece of paper on your desk. • 2. Use your protractor to measure each angle; label each angle. • 3. Add the measure of the angles and record the sum on our line plot (draw an “X” above the sum for your triangle).

  4. Tear the three angles off of your triangle • Arrange your 3 angles next to each other so they line up. • What type of angle have you created? • What does this show?

  5. Draw examples of Not Polygons Polygons Convex Polygons Concave (nonconvex) Polygons

  6. Journal pages 85-86 • Groups of 4 • Mrs. H. will assign your group “quadrangle” or “pentagon”

  7. Class Data (Journal Pages 87 & 88) Quadrangles Pentagon

  8. **When drawing lines to divide a polygon into triangles, the lines must go from one vertex to another; they cannot start or end in the middle of the polygon or between the endpoints of the line segments. Day 2 Dividing Polygons into triangles • Why do you think the measures increase by 180°? • How many degrees are in a triangle? • Quadrangles divide into _______ triangles. 2 x 180° = 360°

  9. How many triangles can be drawn in a pentagon? 3 x 180° = 540°

  10. How many triangles can be drawn in a hexagon? 4 x 180° = 720° Conclusion: When you add another side to the figure, you are able to draw an additional triangle in the figure, which adds 180°. What do you notice about the relationship between the number of sides of the polygon and the number of triangles that can be drawn in it? The number of triangles inside the polygon is 2 less than the number of sides.

  11. Math JOURNAL PAGE 89 (AND mm 94)

  12. Centers Centers • Math Journal pages 90-91; tessellations website • MM 93 (Left)

  13. Homework • Study Link 3.9

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