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Reflection: The Geometry in Real Life PowerPoint relates math to the real word. . I chose this for the ACEI standard 2: Mathematics standard because geometry is a subject that many students find boring, but it is an important subject matter in math. This assignment shows the students that geometry occurs in everyday life. The students are able to find shapes for themselves in these buildings which makes them think critically for themselves 1 By: Morgan Chylinski 2 Acute angles Right angles Obtuse angles Congruent angles Complementary angles Parallel lines Intersecting lines (not perpendicular) Perpendicular lines Isosceles triangles Obtuse triangle Parallelograms Rectangles Squares Trapezoids Polygons with more than 4 sides (pentagons, hexagons, etc.) A symmetric polygon A non-symmetric polygon A concave polygon A polygon composed by two or more smaller polygons Mirror image/reflection (“’this’ figure can be reflected onto ‘that’ figure) 3 An Acute Angle is an angle smaller than 90 degrees. 4 5 A Right Angle is an angle that is 90 degrees. 6 7 An Obtuse Angle is an angle that is more than 90 degrees. 8 9 Congruent Angles are angles two angles that have the same angle measurements in degrees. 10 11 Complementary Angles are two angles that add up to equal 90 degrees. 12 . 13 Parallel Lines are lines are always the same distance apart and will never meet. 14 15 Intersecting Lines are lines that have one and only one point in 16 common. 17 Perpendicular Lines are two lines that meet at a 90 degree angle. 18 19 An Isosceles triangle is a triangle with two congruent sides. 20 21 An Obtuse Triangle has one angle that is more than 90 degrees. 22 23 A Parallelogram is a quadrilateral with both pairs of opposite sides parallel and equal in length. 24 25 A Trapezoid is a quadrilateral which has one pair of parallel sides. 26 27 A square has four equal sides and all the eternal angles equal 90 28 degrees. 29 A Rectangle is a four sided polygon that all eternal angles are 90 30 degrees. 31 A Nonagon is a polygon with 9 sides. 32 33 A Heptagon is a 7 sided polygon with all eternal angles equaling 900 34 degrees. 35 A Symmetrical Polygon is a polygon that can be dissected into two congruent parts that every point on one side of the bisection line will have a reflective point on the other side of the bisection line. 36 37 A non-symmetrical polygon is a polygon that can not be dissected into two congruent parts. 38 39 A Concave Polygon has at least one angle that measures more than 180 degrees. 40 41 This is a polygon that is made up of two smaller polygons. 42 43 44 45 3.G.1 Define and use correct terminology when referring to shapes 4.G.1 Identify and name polygons, recognizing that their names are related to the number of sides and angles 4.G.7 Draw and identify intersecting, perpendicular, and parallel lines 4.G.8 Classify angles as acute, obtuse, right, and straight 5.G.6 Classify triangles by properties of their angles and sides 46 Geometric objects are hidden in houses and buildings. The world is filled with these shapes and you can find them everywhere you look. Now see how many geometric objects are in our classroom… 47 George Cathcart, Y. P. (2006). Learning Mathematics in Elementary and Middle Schools. New Jersey: Pearson Prentice Hall. Page, J. (2007). Retrieved October 23, 2008, from Math Open Reference: http://www.mathopenref.com/common/indexpag e.html Steve Conrad, D. F. (2006, August). Polygons. Retrieved October 23, 2008, from Math League: http://www.mathopenref.com/pentagon.html 48