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Notes for Filling and Wrapping

Notes for Filling and Wrapping. K. Williams. 2D shapes (2 dimensional). The relationship between 2D shapes and 3D objects . Square Rectangle Triangle Circle. 3D Objects (3 dimensional). Cube Rectangular Prism Cone Sphere and Cylinders. Shapes: How are they named?.

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Notes for Filling and Wrapping

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  1. Notes for Filling and Wrapping K. Williams

  2. 2D shapes (2 dimensional) The relationship between 2D shapes and 3D objects • Square • Rectangle • Triangle • Circle 3D Objects(3 dimensional) • Cube • Rectangular Prism • Cone • Sphere and Cylinders

  3. Shapes: How are they named? • A shape is named by the number of sides it has:

  4. Triangles • A three sided polygon who interior (inside) angles when added together will equal 180º. • Naming triangles • Triangles are named based on their types of angles and their sides. Example, a triangle with two equal sides and all acute angles is called an acute isosceles triangle • Types of triangles • Equilateral means that all of the sides are the same • Isosceles means that 2 sides are the same • Scalene means that none of the sides are the same • Acute means that all of the angles are acute • Obtuse means that one of the angles is an obtuse angle • Right means that one of the angles is a right angle

  5. Angles • Angles are measured in Degrees • Example 45 degrees is written as 45º • Types of Angles • Acute angles are from 0 to 89 degrees (0º - 89º) • Right angles are exactly 90 degrees (90º) • Obtuse angles are from 91 to 179 degrees (91º -179º) • Straight angle is exactly 180 degrees (180º)

  6. Vocabulary • Dimensions—The measureable lengths of a shape or object (length, height, and/or width). Ex. The rectangle is 7cm x 3 cm or l x w • Base—the bottom face of a 3 dimensional object • Face—The polygon that forms a side on a 3 dimensional shape • Edge—The line segment created when 2 faces of a 3 dimensional meet. • Vertex (Vertices)—The corner point(s) of 3 dimensional shapes. • Net—The pattern of attached polygons that can be folded into 3 dimensional shapes.

  7. Vocabulary (cont.) • Radius—A line segment from the center of a circle to the edge of a circle. (1/2 the diameter) • Diameter—A line segment that goes, through the center of a circle, from one side of a circle to another. (2 x radius) • Perimeter—The measure of all sides of a shape • Circumference—The perimeter of a circle • Area—The amount of square units needed to cover a shape (ex. The area of a square is A= l x w) • Volume—The amount of space that can be filled by a 3 dimensional object. • Surface area—The area required to cover a 3 dimensional object

  8. Finding Area & Volume • A = l x w = B • V = B x h h = 5 cm w= 3 cm l = 7 cm Key for variables A = area l or b = length w = width h = height B = base AREA V = volume

  9. Finding the surface area 3 cm Key for variables SA = Surface Area l = length w = width h = height r = radius r2 = r x r  = 3.14 2 cm 6 cm 2 cm 7cm K. Williams Room 205 • For Rectangular/Cube objects • SA = 2lw + 2lh + 2wh • SA = 2 x 6 x 2 + 2 x 6 x 3 + 2 x 2 x 3 • For Cylinders • SA = 2r2+ 2rh • (SA = 2 x  x 2 x 2 + 2 xx 2 x 7)

  10. Sample problem K. Williams Room 205 • Sasha needs to wrap birthday presents for a set of twins. She brought them the same gift, a Tongi Truck. The box that the gift is in is 12 inches long, 5 inches wide, and 4 inches tall. (SA) She only has 48 square inches of wrapping paper left. Will she be able to wrap both presents or will she have to go purchase some more wrapping paper? Also, the truck has a compartment that can hold smaller toys. The dimensions of the compartment are 3 inches by 2 inches by 1.5 inches. (V) What is the capacity of each toy truck? • Draw the shape below and label the parts before answering the question. Remember to show all of your steps

  11. How many edges, faces, and vertices? What is the type of face?

  12. Sample problem K. Williams Room 205 • Tasha needs to wrap birthday presents for a set of triplets. She brought them the same gift, a Tongi Truck. The box that the gift is in is 10 inches long, 7 inches wide, and 6 inches tall. (SA) She only has 1000 square inches of wrapping paper left. Will she be able to wrap all of the presents or will she have to go purchase some more wrapping paper? Also, the truck has a compartment that can hold smaller toys. The dimensions of the compartment are 6 inches by 3 inches by 2.5 inches. (V) What is the capacity of each toy truck? • Draw the shape below and label the parts before answering the question. Remember to show all of your steps

  13. Quiz #1 (part 1) Cathy is wrapping two gifts (mini-rectangular flower pots). One is 14 cm long, 18 cm wide and 12 cm tall. The other gift is 20 cm in length, 13 cm wide and has a height of 5 cm. How much wrapping paper does she need to wrap both gifts? What is the capacity of each gift? Draw and label the dimensions of each gift.

  14. Quiz (Part 2): What does it stand for? Write the correct number next to the prefix. Also, name the four parts of a 3D shape.

  15. POD2 FOR 5/25/10 • What is the probability of landing on: • A • D or E A E C D

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