Wednesday, December 7, 2011

Measurement and Geometry

Measurement can be a difficult concept, especially for young students. Based on conversations from previous classes, we have discovered that students learn best when concepts are taught in a real world context. Teachers should focus on hands on activities to give students experience using measurement rather than just showing pictures and assigning worksheets. (Van de Walle, pg 369)

  • ·         Describe everything you know about “standard units of measure."
  •       Give examples of how you have used standard units of measure at home in the last week.
  •       Give examples of how you have used non-standard units of measure at home in the last week.
  •       Why is it important to have a standard system of measurement?



The three steps of Measurement
  1. Make a Comparison
  2. Concrete examples
  3. Use of tools 
The Four Things we Measure
  1. Time
  2. Mass
    how many molecules (it is NOT weight).
    it is consistent
  3. Distance or Length
  4. Volume
    how much space it takes up
Geometry
  • Geomoetry is a vocabulary course.
  • Very important to know the definitions



  1. Line
    never ending, infinite number of points
    must be straight
    no width

  2. Angle
    made of two intersecting rays


  3. Perpendicular Lines


  4. Parallel Lines

  5. Congruent

  6. Degree


    1. Postulate
      Things that can just be assumed based on general reasoning
    2. Theorem
      must be proven
      A rule that can be used once it it proven

    Parallel LinesThe slope will be the same for the parallel lines, the y intercept will be different




    Perpendicular lines
    The slopes are the negative reciprocal of each other.
    Examples:

    Transversal 
     - in class we talked about transversal being any line that intersects any set of parallel lines.  The transversal line does not have to be perpendicular.


    Practice Drawing using verbal clues:



    Supplementary
    • two angles that add up to 180
    • "supplementary makes a sunrise"


    Complementary
    • two angles that add up to 90
    • "Compliments cause love, and love starts with an L"


    Triangles:
    Finding how many angles are in a triangle
    This activity proves that there are 180 degrees in a triangle.



    Vertical Angles
    Interior Angles
    Exterior Angle


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