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Lesson 1-6 Lesson 1-6 Polygons Polygons

# Lesson 1-6 Polygons. Ohio Content Standards: Formally define geometric figures

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• Slide 1
• Lesson 1-6 Polygons
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• Ohio Content Standards:
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• Formally define geometric figures.
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• Ohio Content Standards: Use coordinate geometry to represent and examine the properties of geometric figures.
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• Ohio Content Standards: Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects.
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• Vocabulary
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• Polygon:
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• Vocabulary Polygon: A closed figure formed by a finite number of segments
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• Vocabulary Polygon: A closed figure formed by a finite number of segments
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• Vocabulary Concave:
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• Vocabulary Concave: A polygon that caves in on itself.
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• Vocabulary Concave: A polygon that caves in on itself.
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• Vocabulary Convex:
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• Vocabulary Convex: A polygon that does not cave in.
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• Vocabulary Convex: A polygon that does not cave in.
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• Vocabulary Convex: A polygon that does not cave in.
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• Vocabulary n-gon:
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• Vocabulary n-gon: A polygon with n sides.
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• Vocabulary Regular Polygon:
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• Vocabulary Regular Polygon: A convex polygon which all sides and angles are congruent.
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• Polygons: Number of sides:
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• Polygons: Number of sides: 3 triangle
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• Polygons: Number of sides: 4 quadrilateral
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• Polygons: Number of sides: 5 pentagon
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• Polygons: Number of sides: 6 hexagon
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• Polygons: Number of sides: 7 heptagon
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• Polygons: Number of sides: 8 octagon
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• Polygons: Number of sides: 9 nonagon
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• Polygons: Number of sides: 10 decagon
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• Polygons: Number of sides: 12 dodecagon
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• Name each polygon by the number of sides. Then classify it as convex or concave, regular or irregular.
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• Vocabulary
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• Perimeter:
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• Vocabulary Perimeter: The sum of the lengths of the polygons sides.
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• A masonry company is contracted to lay three layers of decorative brick along the foundation for a new house given the dimensions below.
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• 40 ft 36 ft 12 ft 24 ft 36 ft 30 ft 8 ft 30 ft
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• A masonry company is contracted to lay three layers of decorative brick along the foundation for a new house given the dimensions below. 40 ft 36 ft 12 ft 24 ft 36 ft 30 ft 8 ft 30 ft Find the perimeter of the foundation and determine how many bricks the company will need to complete the job. Assume one brick is 8 inches long.
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• A masonry company is contracted to lay three layers of decorative brick along the foundation for a new house given the dimensions below. 40 ft 36 ft 12 ft 24 ft 36 ft 30 ft 8 ft 30 ft The builder realizes he accidentally halved the size of the foundation, so he reworks the drawing with the correct dimensions. How will this affect the perimeter of the house and the number of bricks needed?
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• Find the perimeter of pentagon ABCDE with A(0, 4), B(4, 0), C(3, -4), D(-3, -4), and E(-3, 1).
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• Slide 43
• The width of a rectangle is 5 less than twice the length. The perimeter is 80 centimeters. Find the length of each side.
• Slide 44
• Assignment: Pgs. 49 - 50 12-34 evens, 40-44 evens ##### Spatial Join Queries. Spatial Queries Given a collection of geometric objects (points, lines, polygons,...) organize them on disk, to answer point queries
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