1 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.

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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

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Geometry in Real Life

SUNY CortlandLeadership House

Cortland, NY 13045

By: Morgan Chylinski

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Geometric Objects

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)

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Could you find one or more Acute Angles?

An Acute Angle is an angle smaller than 90 degrees.

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Here are the Acute Angles…

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Can you find one or more Right Angles?

A Right Angle is an angle that is 90 degrees.

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Here are the Right Angles…

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Can you find one or more Obtuse Angles?

An Obtuse Angle is an angle that is more than 90 degrees.

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Here is the Obtuse Angle…

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Can you find one or more Congruent Angles?

Congruent Angles are angles two angles that have the same angle measurements in degrees.

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Here are the Congruent Angles…

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Can you find one or more Complementary Angles?

Complementary Angles are two angles that add up to equal 90 degrees.

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Here are the Complementary Angles…

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Can you find one or more Parallel Lines?

Parallel Lines are lines are always the same distance apart and will never meet.

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Here are the Parallel Lines…

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Can you find one or more Intersecting Lines?

Intersecting Lines are lines that have one and only one point in common.

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Here are the intersecting lines…

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Can you find one or more Perpendicular Lines?

Perpendicular Lines are two lines that meet at a 90 degree angle.

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Here are the Perpendicular Lines…

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Can you find one or more Isosceles Triangles?

An Isosceles triangle is a triangle with two congruent sides.

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Here is an Isosceles Triangle…

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Can you find one or more Obtuse Triangles?

An Obtuse Triangle has one angle that is more than 90 degrees.

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Here is an Obtuse Triangle…

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Can you find one or more Parallelograms?

A Parallelogram is a quadrilateral with both pairs of opposite sides parallel and equal in length.

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Here is a Parallelogram…

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Can you find one or more Trapezoids?

A Trapezoid is a quadrilateral which has one pair of parallel sides.

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Here is a Trapezoid…

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Can you find one or more Squares?

A square has four equal sides and all the eternal angles equal 90 degrees.

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Here are the Squares…

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Can you find one or more Rectangles?

A Rectangle is a four sided polygon that all eternal angles are 90 degrees.

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Here are some Rectangles…

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Can you find one or more Nonagons?

A Nonagon is a polygon with 9 sides.

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Here is a nonagon…

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Can you find one or more Heptagons?

A Heptagon is a 7 sided polygon with all eternal angles equaling 900 degrees.

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Here is a Heptagon…

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Can you find a symmetrical polygon?

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.

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Here are the symmetrical polygons…

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Can you find any non-symmetric polygons?

A non-symmetrical polygon is a polygon that can not be dissected into two congruent parts.

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Here are the Non-Symmetrical polygons…

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Can you find one or more Concave Polygons?

A Concave Polygon has at least one angle that measures more than 180 degrees.

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Here is a concave polygon…

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Can you find a polygon composed by two or more smaller polygons?

This is a polygon that is made up of two smaller polygons.

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Here is an example of a polygon composed by two or more smaller polygons…

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Can you find one or more reflections/ mirror images?

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Here are reflections…

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Math Standards

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

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Geometry in Real Life

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…

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References

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/indexpage.html

Steve Conrad, D. F. (2006, August). Polygons. Retrieved October 23, 2008, from Math League: http://www.mathopenref.com/pentagon.html