Math Midterm

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Author:
Angele1990
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264181
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Math Midterm
Updated:
2014-02-26 21:15:22
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Math Midterm
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Math Midterm
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  1. Mathematically proficient students:
    • 1. make sense
    • 2. reason
    • 3. model
  2. CA Mathematics Framework
    • - number sense
    • - measurement & geometry
    • - Algebra & functions
    • - Stats, data analysis, probability
    • - Mathematic reasoning
  3. Come up with a question that a child has procedural knowledge but not conceptual knowledge.
    - give enough detail to explain why they have procedural but not conceptual
    • Find the area of the circle. Radius = 3
    • Student understands the equation is pi x r squared. They know that pi represents 3.14 and understand that they must multiply by the radius squared. They do not understand where the numbers are coming from.
  4. Anchoring points
    • ideas related to new and old information
    • ex. numbers - adresses, weight, height, volume
  5. 2 subskills you need to know before counting
    • 1. each object has a name
    • 2. names have to occur in a certain order
  6. Methods of teaching multiplication
    • repeated addition (6 x 3 = 6 + 6 + 6)
    • combinations (there are 2 shirts and 3 ties, how many combinations can you make?)
    • area (set out counting chips and multiple across and then down)
    • lattice multiplication
  7. Methods of teaching division
    • partition (how many elements are in a group?)
    • -If I have a box of chocolate and want to divide them into 3 groups, how many pieces will be in each group?

    • measurement (how many groups are there?)
    • -If I have a box of chocolate and want each person to get 2 pieces, how many people will get chocolate?
  8. 4 steps to teach measurement
    • - identify the attribute
    • - make comparisons
    • - use non-standard units
    • - use standard units
  9. 7 steps to teach geometry
    • 1. sort shapes
    • 2. match shapes
    • 3. make shapes
    • 4. provide problem solving activities
    • 5. analyze properties
    • 6. explore relationships among shapes
    • 7. prove theories
  10. Quadrilateral
    shape with 4 sides
  11. Trapezoid
    a quadrilateral with 1 pair of parallel sides
  12. Parallelogram
    a trapezoid with 2 pairs of parallel sides
  13. Rectangle
    a parallelogram with 1 right angle
  14. Square
    a rectangle with adjacent congruent sides
  15. Rhombus
    a parallelogram with adjacent congruent sides
  16. Order of shapes
    • quadrilateral
    • trapezoid
    • parallelogram
    • rectangle
    • square
    • rhombus is a parallelogram but can be a square (not always though)
  17. Earliest skill a child develops
    • estimation
    • - if you break a cookie in half and tell a child to pick one, he will pick the bigger half

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