Interactive Classroom by ewghwehws

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									                               Chapter 10
        Measurement and Geometry
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     Measurement and Geometry
10

     Lesson 10-1    Polygons
     Lesson 10-2    Perimeter
     Lesson 10-3    Measurement: Area
     Lesson 10-4    Problem-Solving Strategy: Solve
                    a Simpler Problem
     Lesson 10-5    Triangles and Angles
     Lesson 10-6    Quadrilaterals
     Lesson 10-7    Problem-Solving Investigation:
                    Choose a Strategy
     Lesson 10-8    Solid Figures
     Lesson 10-9    Complex Solid Figures
     Lesson 10-10   Measurement: Volume
10-1   Polygons




   Five-Minute Check (over Chapter 9)
   Main Idea and Vocabulary
   California Standards
   Example 1
   Example 2
10-1   Polygons




   • I will identify, describe, and classify polygons.



   • plane figure             • pentagon
   • polygon                  • hexagon
   • triangle                 • octagon
   • quadrilateral
10-1   Polygons




         Standard 3MG2.1 Identify, describe,
   and classify polygons (including pentagons,
   hexagons, and octagons).
10-1   Polygons




  Classify the polygon.




  Answer: not a polygon
10-1   Polygons




  Classify the polygon.


  A. polygon; pentagon

  B. polygon; hexagon

  C. polygon; octagon

  D. not a polygon
10-1   Polygons




  Classify the polygon.




  Answer: polygon; hexagon
10-1   Polygons




  Classify the polygon.


  A. polygon; triangle

  B. polygon; square

  C. polygon; pentagon

  D. polygon; hexagon
10-2   Perimeter




   Five-Minute Check (over Lesson 10-1)
   Main Idea and Vocabulary
   California Standards
   Key Concept: Find Perimeter
   Example 1
   Example 2
10-2   Perimeter




   • I will find the perimeter of a polygon.




   • perimeter
10-2   Perimeter




         Standard 3MG1.3 Find the perimeter of
   a polygon with integer sides.
10-2   Perimeter
10-2   Perimeter




  Find the perimeter of the parallelogram.




  Answer: 34 yards
10-2   Perimeter




  Find the perimeter of this rectangle.


  A. 56 units

  B. 40 units

  C. 28 units

  D. 30 units
10-2   Perimeter




  Find the perimeter of the rectangle.




  Answer: 18 units
10-2   Perimeter




  Find the perimeter of the square, if all its sides
  where equal to 4 cm.


  A. 16 cm

  B. 20 cm

  C. 18 cm

  D. 8 cm
10-3   Measurement: Area




   Five-Minute Check (over Lesson 10-2)
   Main Idea and Vocabulary
   California Standards
   Example 1
   Example 2
   Example 3


                                    Measurement: Area
10-3   Measurement: Area




   • I will find the area of a plane figure.




   • area
10-3   Measurement: Area




         Standard 3MG1.2 Estimate or determine
   the area and volume of solid figures by covering
   them with squares or by counting the number of
   cubes that will fill them.
10-3   Measurement: Area




  Find the perimeter of the rectangle.




  Answer: 40 square units
10-3   Measurement: Area




  Find the area of the figure.


  A. 20 square units

  B. 18 square units

  C. 21 square units

  D. 14 square units
10-3   Measurement: Area




  Find the area of the figure.




  Answer: 5 square units
10-3   Measurement: Area




  Find the area of the figure.


  A. 36 square units

  B. 40 square units

  C. 48 square units

  D. 30 square units
10-3   Measurement: Area




  The figure below shows the size of Jeff’s driveway.
  What is the area of the driveway?




  Answer: 26 square units
10-3   Measurement: Area




  The figure below shows the top view of a land plot.
  What is the area of the land plot?


  A. 64 square units

  B. 60 square units

  C. 50 square units

  D. 48 square units
10-4   Problem-Solving Strategy: Solve a Simpler Problem




   Five-Minute Check (over Lesson 10-3)
   Main Idea
   California Standards
   Example 1: Problem-Solving Strategy
10-4   Problem-Solving Strategy: Solve a Simpler Problem




   • I will solve problems by working a simpler
     problem.
10-4   Problem-Solving Strategy: Solve a Simpler Problem




        Standard 3MG1.3 Find the perimeter of a
   polygon with integer sides.

   Standard 3MR1.2 Determine when and how to
   break a problem into simpler parts.
10-4   Problem-Solving Strategy: Solve a Simpler Problem




  Julianna is placing a border around a
  rectangular bulletin board. The perimeter of the
  bulletin board is 10 feet. One side measures 2
  feet. What will be the length of the border for
  each side?
10-4   Problem-Solving Strategy: Solve a Simpler Problem




  Understand
  What facts do you know?
  • The bulletin board is rectangular with a perimeter
    of 10 feet.
  • The length of one side is 2 feet.
  What do you need to find?
  • The length of the border for each side.
10-4   Problem-Solving Strategy: Solve a Simpler Problem




  Plan
  Solve a simpler problem to find the length of the
  border for each side.
10-4   Problem-Solving Strategy: Solve a Simpler Problem




  Solve
  Two sides are 2 feet long.
  2 feet + 2 feet = 4 feet

  Find the total length of the other two sides.

                     total of        total of
  perimeter          2 sides     remaining sides
  10 feet      –     4 feet     =     6 feet
10-4   Problem-Solving Strategy: Solve a Simpler Problem




  Solve
  The two unknown sides add up to 6 feet. Since
  both sides are the same length, divide by 2.

  6 feet ÷ 2 feet = 3 feet


  Answer: So, two pieces of border should be 2 feet
          long, and the other two should be 3 feet
          long each.
10-4   Problem-Solving Strategy: Solve a Simpler Problem




  Check
  Look back at the problem. Add up all of the sides.

  2 feet + 2 feet + 3 feet + 3 feet = 10 feet


  So, the answer is correct.
10-5   Triangles and Angles




   Five-Minute Check (over Lesson 10-4)
   Main Idea and Vocabulary
   California Standards
   Key Concept: Identify Triangles by its Sides
   Example 1
   Example 2
   Example 3
10-5   Triangles and Angles




   • I will identify and classify different triangles and
     compare angles.



   • equilateral triangle      • scalene triangle
   • isosceles triangle        • right triangle
10-5   Triangles and Angles




         Standard 3MG2.2 Identify attributes of
   triangles (e.g., two equal sides for the isosceles
   triangle, three equal sides for the equilateral
   triangle, right angle for the right triangle).
10-5   Triangles and Angles




   Standard 3MG2.4 Identify right angles in
   geometric figures and determine whether other
   angles are greater or less than a right angle.
10-5   Triangles and Angles
10-5   Triangles and Angles




  Identify the triangle.




  Answer: scalene triangle
10-5   Triangles and Angles




  Identify the triangle shown in the grid.


  A. isosceles triangle

  B. equilateral triangle

  C. scalene triangle

  D. right triangle
10-5   Triangles and Angles




  Identify the triangle.




  Answer: equilateral
10-5   Triangles and Angles




  Identify the triangle shown below.


  A. isosceles triangle

  B. equilateral triangle

  C. scalene triangle

  D. right triangle
10-5   Triangles and Angles




  Identify the bottom triangle on the tree. Tell if each
  angle of the triangle is a right angle, less than a
  right angle or greater than a right angle.




  Answer: isosceles; 2 angles are less than a right angle
          and 1 angle is greater than a right angle
10-5   Triangles and Angles




  Identify the triangle below. Tell if each triangle is a
  right angle, less than a right angle, or greater than
  a right angle.
  A. scalene; right angle
  B. isosceles; all angles
     are less than a right
     angle
  C. equilateral; all angles
     are less than a right
     angle
  D. right; right angle
10-6   Quadrilaterals




   Five-Minute Check (over Lesson 10-5)
   Main Idea and Vocabulary
   California Standards
   Key Concept: Types of Quadrilaterals
   Example 1
   Example 2
   Example 3
10-6   Quadrilaterals




   • I will identify, describe, and classify different
     quadrilaterals.



   • parallel             • square
   • rectangle            • parallelogram
10-6   Quadrilaterals




         Standard 3MG2.3 Identify attributes of
   quadrilaterals (e.g., parallel sides for the
   parallelogram, right angles for the rectangle,
   equal sides and right angles for the square).
10-6   Quadrilaterals




   Standard 3MG2.4 Identify right angles in
   geometric figures or in appropriate objects
   and determine whether other angles are
   greater or less than a right angle.
10-6   Quadrilaterals
10-6   Quadrilaterals




  Identify the quadrilateral.




  Answer: rectangle
10-6   Quadrilaterals




  Identify the quadrilateral.



  A. square

  B. parallelogram

  C. rectangle
10-6   Quadrilaterals




  Identify the quadrilateral.




  Answer: square
10-6   Quadrilaterals




  Identify the quadrilateral.


  A. square

  B. parallelogram

  C. rectangle
10-6   Quadrilaterals




  Identify the quadrilateral. Tell if each angle shown is
  a right angle, less than a right angle, or greater than
  a right angle.




  Answer: parallelogram; two angles are less than a
          right angle and two angles are greater than
          a right angle.
10-6   Quadrilaterals




  Identify the quadrilateral. Tell if each angle shown
  is a right angle, less than a right angle, or greater
  than a right angle.
  A. square; all angles are
     right angles
  B. parallelogram; two
     angles are less than a
     right angle, two angles
     are greater than a right
  C. rectangle; all angles
     are right angles
10-7   Problem-Solving Investigation: Choose a Strategy




   Five-Minute Check (over Lesson 10-6)
   Main Idea
   California Standards
   Example 1: Problem-Solving Investigation
10-7   Problem-Solving Investigation: Choose a Strategy




   • I will choose the best strategy to solve a problem.
10-7   Problem-Solving Investigation: Choose a Strategy




         Standard 3MG1.2 Estimate or determine the
   area and volume of solid figures by covering them
   with squares or by counting the number of cubes
   that will fill them.
10-7   Problem-Solving Investigation: Choose a Strategy




   Standard 3MR1.1 Analyze problems by identifying
   relationships, distinguishing relevant from
   irrelevant information, sequencing and prioritizing
   information, and observing patterns.
10-7    Problem-Solving Investigation: Choose a Strategy




       CASSANDRA: My family is making a
       sandbox. It has the shape of a
       rectangle with a width of 4 feet
       and a length of 6 feet. The plastic
       that goes under the sand costs $2
       for each square foot.


       YOUR MISSION: Determine if $50 will
       be enough to pay for the plastic.
10-7     Problem-Solving Investigation: Choose a Strategy




       Understand
       What facts do you know?
       • You know the length and width of the sandbox.
       • The cost of the plastic per square foot.


       What do you need to find?
       • Find the total cost of the plastic.
10-7     Problem-Solving Investigation: Choose a Strategy




       Plan
       Draw a picture to help you solve the problem.
10-7     Problem-Solving Investigation: Choose a Strategy




       Solve
       The drawing shows that
       the area of the sandbox is
       24 square feet. Multiply
       24 square feet by $2 per
       square foot to find the
       total cost of the plastic.
       24 × $2 = $48        $48 is less than $50
       Answer: So, $50 will be enough to pay for
               the plastic.
10-7     Problem-Solving Investigation: Choose a Strategy




       Check
       Look back at the problem. Use addition to check.
       $24 + $24 < $50. So, the answer is correct.
10-8   Solid Figures




   Five-Minute Check (over Lesson 10-7)
   Main Idea and Vocabulary
   California Standards
   Key Concept: Solid Figures
   Example 1
   Example 2
10-8   Solid Figures




   • I will identify, describe, and classify solid figures.




   • cube                       • pyramid
   • rectangular solid          • cylinder
   • cone                       • sphere
10-8   Solid Figures




   Standard 3MG2.5 Identify, describe, and classify
   common three-dimensional geometric objects
   (e.g., cube, rectangular solid, sphere, prism,
   pyramid, cone, cylinder).
10-8   Solid Figures
10-8   Solid Figures




  Identify the solid figure.




  Answer: cylinder
10-8   Solid Figures




  Identify the figure.


  A. cone

  B. cube

  C. cylinder

  D. rectangular solid
10-8   Solid Figures




  Identify the solid figure.




  Answer: rectangular solid
10-8   Solid Figures




  Identify the figure.


  A. cone

  B. cube

  C. cylinder

  D. rectangular solid
10-9   Complex Solid Figures




   Five-Minute Check (over Lesson 10-8)
   Main Idea
   California Standards
   Example 1
   Example 2
10-9   Complex Solid Figures




   • I will identify common solid objects that make
     more complex solid objects.
10-9   Complex Solid Figures




   Standard 3MG2.6 Identify common solid
   objects that are the components needed to
   make a more complex solid object.
10-9   Complex Solid Figures




  Identify the figures that make the complex solid.




  Answer: cone, cylinder
10-9   Complex Solid Figures




  Identify the figures that make each complex solid.




  Answer: rectangular solids
10-10 Measurement: Volume



    Five-Minute Check (over Lesson 10-9)
    Main Idea and Vocabulary
    California Standards
    Example 1
    Example 2




                                           Volume
10-10 Measurement: Volume




    • I will determine the volume of solid figures.




    • volume
    • cubic unit
10-10 Measurement: Volume




          Standard 3MG1.2 Estimate or determine
    the area and volume of solid figures by covering
    them with squares or by counting the number of
    cubes that would fill them.
10-10 Measurement: Volume




  Estimate how many cubic units the box can hold?




  Answer: 27 cubic units
10-10 Measurement: Volume



   How much cement will the container hold?


   A.   3 cubic units

   B.   4 cubic units

   C.   5 cubic units

   D.   6 cubic units
10-10 Measurement: Volume




  Estimate the volume of the figure.




  Answer: 54 cubic units
10-10 Measurement: Volume



   Estimate the volume of the figure.


   A.   48 cubic units

   B.   36 cubic units

   C.   12 cubic units

   D.   24 cubic units
     Measurement and Geometry
10


                  Five-Minute Checks




                  Measurement: Area

                  Volume
     Measurement and Geometry
10


     Lesson 10-1   (over Chapter 9)
     Lesson 10-2   (over Lesson 10-1)
     Lesson 10-3   (over Lesson 10-2)
     Lesson 10-4   (over Lesson 10-3)
     Lesson 10-5   (over Lesson 10-4)
     Lesson 10-6   (over Lesson 10-5)
     Lesson 10-7   (over Lesson 10-6)
     Lesson 10-8   (over Lesson 10-7)
     Lesson 10-9   (over Lesson 10-8)
     Lesson 10-10 (over Lesson 10-9)
      Measurement and Geometry
10
                                 (over Chapter 9)

     Convert to a smaller unit. 8 L = ___ mL.


     A. 8,000

     B. 80

     C. 10

     D. 120
      Measurement and Geometry
10
                                 (over Chapter 9)

     Convert to a smaller unit. 3 km = ___ m.


     A. 10

     B. 33

     C. 15

     D. 3,000
      Measurement and Geometry
10
                                 (over Chapter 9)

     Convert to a larger unit. 5,000 g = ___ kg.


     A. 15

     B. 5

     C. 55

     D. 120
      Measurement and Geometry
10
                                 (over Chapter 9)

     Convert to a larger unit. 16,000 mL = ___ L.


     A. 16

     B. 140

     C. 160

     D. 320
      Measurement and Geometry
10
                                 (over Lesson 10-1)

     Classify each polygon.


     A. triangle

     B. pentagon

     C. square

     D. hexagon
      Measurement and Geometry
10
                                 (over Lesson 10-1)

     Classify each polygon.


     A. triangle

     B. pentagon

     C. square

     D. hexagon
      Measurement and Geometry
10
                                 (over Lesson 10-1)

     Classify each polygon.


     A. triangle

     B. pentagon

     C. square

     D. hexagon
      Measurement and Geometry
10
                                 (over Lesson 10-1)

     Classify each polygon.


     A. triangle

     B. pentagon

     C. square

     D. hexagon
       Measurement and Geometry
10
                                  (over Lesson 10-2)

     Find the perimeter of the figure.


     A. 26 cm

     B. 12 cm

     C. 24 cm

     D. 30 cm
       Measurement and Geometry
10
                                  (over Lesson 10-2)

     Find the perimeter of the figure.



     A. 22 in.

     B. 10 in.

     C. 8 in.

     D. 24 in.
      Measurement and Geometry
10
                                 (over Lesson 10-2)

     Find the perimeter of the figure. Pascal wants to
     enclose his garden with a small fence. If his garden
     is a rectangle 3 yards by 2 yards, how many yards
     of fencing material does he need?

     A. 6 yards

     B. 12 yards

     C. 10 yards

     D. 16 yards
       Measurement and Geometry
10
                                    (over Lesson 10-3)

     Find the area of the figure.



     A. 35 square units

     B. 25 square units

     C. 7 square units

     D. 40 square units
       Measurement and Geometry
10
                                    (over Lesson 10-3)

     Find the area of the figure.



     A. 3 square units

     B. 18 square units

     C. 8 square units

     D. 9 square units
      Measurement and Geometry
10
                                 (over Lesson 10-3)

     Find the area and perimeter of the figure.

     A. 14 units; 6 square
        units

     B. 12 units; 6 square
        units

     C. 10 units; 10 square
        units
      Measurement and Geometry
10
                                 (over Lesson 10-4)

     Solve. Use the Solve a Simpler Problem strategy.
     Afua bought 8 red ribbons, 4 blue ribbons, and 5
     yellow ribbons from the fabric store. Each piece of
     ribbon cost $1.00. How much did she spend in all?

     A. $12

     B. $4

     C. $8

     D. $17
       Measurement and Geometry
10
                                  (over Lesson 10-5)

     Identify the triangle. Write equilateral, isosceles, or
     scalene.


     A. isosceles

     B. equilateral

     C. scalene
       Measurement and Geometry
10
                                  (over Lesson 10-5)

     Identify the triangle. Write equilateral, isosceles, or
     scalene.


     A. scalene

     B. equilateral

     C. isosceles
       Measurement and Geometry
10
                                  (over Lesson 10-5)

     Identify the triangle. Write equilateral, isosceles, or
     scalene.



     A. scalene

     B. equilateral

     C. isosceles
       Measurement and Geometry
10
                                   (over Lesson 10-6)

     Identify the quadrilateral.




     A. rectangle

     B. square

     C. parallelogram
       Measurement and Geometry
10
                                   (over Lesson 10-6)

     Identify the quadrilateral.




     A. square

     B. rectangle

     C. parallelogram
       Measurement and Geometry
10
                                   (over Lesson 10-6)

     Identify the quadrilateral.




     A. square

     B. rectangle

     C. parallelogram
      Measurement and Geometry
10
                                 (over Lesson 10-7)

     Indu has 27¢ in his pocket. If he has 6 coins
     altogether, what coins does he have?


     A. 1 quarter, 2 pennies, 2 dimes

     B. 1 dime, 3 nickels, 2 pennies

     C. 1 nickel, 2 dimes, 1 quarter
       Measurement and Geometry
10
                                  (over Lesson 10-8)

     Identify the solid figure.




     A. cylinder

     B. cube

     C. square
       Measurement and Geometry
10
                                  (over Lesson 10-8)

     Identify the solid figure.


     A. square

     B. cylinder

     C. cube
       Measurement and Geometry
10
                                  (over Lesson 10-8)

     Identify the solid figure.


     A. sphere

     B. cube

     C. square
       Measurement and Geometry
10
                                  (over Lesson 10-8)

     Identify the solid figure.



     A. square

     B. cube

     C. rectangular solid
      Measurement and Geometry
10
                                 (over Lesson 10-9)

     Identify the figures that makes this a complex solid.



     A. cone, cylinder

     B. sphere, cone
      Measurement and Geometry
10
                                 (over Lesson 10-9)

     Identify the figures that makes this a complex solid.



     A. square, cone

     B. rectangular solid,
        cylinders
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