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Module 3 Unit 2 Notes

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					                                           November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                                           November 30, 2012
7
    Perimeter and Circumference Notes

       Perimeter- distance ________________________a figure

    Example 1: Finding the perimeter of a polygon.          Example 2: Find the Perimeter.
        Find the perimeter.




    Example 3: Find the Perimeter.




     Circumference- distance around a __________________________________

     Pi (π)- ratio of circumference to diameter, equals __________________________

     Radius- _______________ way through the circle
                                                                LABEL=
     Diameter- line straight through the ______________________ of circle.




    Example 4: Find the circumference of each circle to the nearest tenth, if necessary. Use 3.14 for π.




    Example 5:
        Jill plans to build a fence around her circular garden. About how many feet of fencing would be
        required if the garden has a diameter of 28 ft?
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                                          November 30, 2012
Area of Rectangles and Parallelograms Notes

    Area- number of _____________ units to cover a figure



  **REMEMBER—It doesn’t matter which side you use for
           length and width**



                                                                                 LABEL=




                                                      Example 2:
  Example 1:
                                                          Find the area of the rectangle.
      Find the area of the rectangle.




  Example 3:
      The area of a playing field is 1,470 ft2 and the length is 42 ft. What is the width of the field?




  Base- the two ______________________sides of the parallelogram

  Height- length between both bases, _____________________________to
       the base              Altitude is another name for the height



        **NOTE—this formula is the EXACT same as a rectangle**

        *Base is the same as length*

        *height is the same as width*




  Example 4: Find the area of the parallelogram.




Example 5:
    Birgit and Mark are building a rectangular patio measuring 27 ft by 21 ft. How many square feet of
    tile will they need?
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                                 November 30, 2012
                       Area of Triangles and Trapezoids Notes
Triangles:
  Base- any _____________ of the triangle

  Height- _____________________distance between the highest point in triangle and the______

  Altitude- ____________________ of the triangle




Example 1:
    Find the area of each triangle.




                                                                        LABEL=




 Example 2:                                    Example 3:
                                                   What is the base of a triangle with area of
                                                   66 m2 and height of 11 m?




Trapezoids:
  Bases- two ______________________ sides

  Height- ______________________ distance between bases




 Example 4:
                                                 Example 5:
     Find the area of each trapezoid.




   Example 6:                               Example 7:
                                                    November 30, 2012




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November 30, 2012
November 30, 2012
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                                      November 30, 2012

Area of Circles Notes
  Area of Circles:
                                                      LABEL=
  Pi= ___________________

   Radius- _______________ way through the circle

  Diameter- line straight through the ______________________
  of circle.




 Find the area of each circle.
 Example 1:




Example 2:                                          Example 3:




   Example 4:                                         Example 5:
                                                          Find the area of a circle with a diameter
        A= 40.82 m2                                       of 7 cm.
        r = ??




 Example 6:
     A group of historians are building a yurt to display at a local multicultural fair. The yurt has a
     height of 8 feet 9 inches at its center, and it has a circular floor of radius 7 feet. What is the
     area of the floor of the yurt?
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                                  November 30, 2012

Area of Trapezoids and Irregular Figures

Review: Finding area of trapezoids.




 Steps to find the area of complex figures:
      1. Divide shape into simple figures
      2. Find area of each figure
      3. Add area of each figure together



Examples:




               7m
                                                20 yd
        4m
                                                  36 yd
                     11 m
                                                          37 yd

             13 m
                                              80 yd
                                                 November 30, 2012




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PROBLEM OF THE WEEK!!
                                     November 30, 2012

 Review of Area of Complex Figures

Examples:
                                                       November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                           November 30, 2012
Identifying 3-Dimensional Figures
 3-Dimensional Figures:

 3-Dimensional figure- a ________________that does not lie in a plane

      Have THREE dimensions: LENGTH, WIDTH, and HEIGHT

 Face- a ________________surface

 Edge- where 2 ____________________________meet

 Vertex- a __________________where 3 or more edges meet

 Base- the face used to name the solid, usually the “__________________________________”

 Prism- has ______________bases

 Pyramid- has ______________________base




Example 1: Identify the bases and faces of each figure. Then name it.
                                                      November 30, 2012




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PROBLEM OF THE WEEK!
                                                                                         November 30, 2012
Volume of Prisms and Cylinders




  Volume of Prisms and Cylinders:

  Volume- number of cubic units to _________________
       inside a 3-D figure

  Cubic unit- a cube with edges ____________unit long




                                    Example 1: Find the volume of a rectangular prism.




Example 2:




  Example 3:




                                             Example 4:




Example 5:
                                             Example 6:
                                                        November 30, 2012




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PROBLEM OF THE WEEK!
                                                          November 30, 2012
Volume of Pyramids and Cones




Example 1: Find the volume of each rectangular pyramid.




Example 2: Find the volume of each triangular pyramid.




Example 3: Find the volume of each cone.
                                                        November 30, 2012




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reference sheet

PROBLEM OF THE WEEK!
                                                           November 30, 2012

 Surface Area of Prisms and Cylinders
Surface Area of Prisms and Cylinders:

Surface Area- sum of the areas of the _____________



**REMEMBER: it doesn’t matter which numbers you
    choose for the width, length, or height**

LABEL=




Example 1: Find the surface area of a rectangular prism.




Example 2: Find the surface area of a cylinder.
                                             November 30, 2012




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PROBLEM OF THE WEEK!

Study for your test :)
                                             November 30, 2012




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Show all of your work

GOOD LUCK!!!!
November 30, 2012

				
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