Mary Koerber Geometry in two dimensional and three dimensional ...

This will be part of homework.Opening ActivityIn the opening activity we must recallarea of a triangle = (1/2)b?harea of a rectangle = b?harea of a rhombus = (length of diagonal 1 ? length of diagonal 2/2)area of a trapezoid = ((length of base 1 + length of base 2)?h/2)We can use these areas to find the areas of teh shapes we hand out tothe students (pentagon, hexagon, octagon).Developmental ActivityArea of the triangles = (25 cm ?5 cm /2) = 62.5 cm(^2) = 62.5 cm(^2) ? 2 = 125 cm(^2)Area of rectangle = 25 cm ? 15 cm = 375 cm(^2)Total sum of areas = 375 cm(^2) + 125 cm(^2) = 500 cm(^2)Closing Activity3 -sided total interior angle measurement - 180deg4 - sided - 360deg5 - sided - 540deg6 - sided - 720deg7 - sided - 900deg8 - sided - 1080degThe students should come up with the Polygon Interior Angle - Sum Theoremfrom doing thisThe Polygon Interior Angle - Sum Theorem states that the sum of the measuresof the interior angles of an n-gon is (n - 2) ? 180degHomework Assignment -pg 80Problems 10,11,12,14,15,16,19,20,21,23,24,2510.) 108;7211.) 140;4012.) 160;2014.) 515.) 1016.) 2019.) 10220.) 14521.) y = 103 ; z = 7023.) x = 69 ; w = 111Koeber – Page 18