Author:
sout0112
ID:
152769
Filename:
PRAXIS II Elementary Education 5015 - Mathematics Curriculum
Updated:
2012-05-07 18:16:47
Tags:
PRAXIS II
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Description:
Review of mathematics concepts
Show Answers:

  1. Properties
    Rules that apply for addition, subtraction, multiplication, or division of real numbers

    • Commutative
    • Associative
    • Identity
    • Inverse
    • Distributive
  2. Commutative
    You can change the order of the terms or factors.

    • a + b = b + a
    • ab = ba
  3. Associative
    You can regroup the terms as you like.

    • a + (b + c) = (a + b) + c
    • a(bc) = (ab)c
  4. Identity
    Finding a number so that when added to a term results in that number; finding a number such that when multiplied by a term results in that number.

    • a + 0 = a
    • a x 1 = a
  5. Inverse
    Finding a number such that when added to the number it results in zero; or when multiplied by the number results in 1.

    • a - a = 0
    • a x (1/a) = 1
  6. Distributive
    This technique allows us to perate on tems with parentheses without first perfoming operations with the parentheses. This is especially helpful when terms within the parentheses cannot be combined.

    a (b + c) = ab + ac
  7. Arithmetic Sequence
    a (sub n) = a (sub 1) + (n - 1)d

    • a (sub 1) is the first term in the sequence
    • d = common difference between the terms
    • n = the nth term
  8. Net
    Two-dimensional figure that can be cut out and folded up to make a three-dimensional solid
  9. Cube
    Six square net
  10. Tetrahedron
    4 equilateral triangle net
  11. Octahedron
    8 equilateral triangle net
  12. Icosahedron
    20 equilateral triangle net
  13. Dodecahedron
    12 regular pentagon net
  14. Tessellation
    An arrangement of glosed shapes that completely covers the plane without overlapping or leaving gaps; unlike tilings, tessellations do not require the use of regular polygons
  15. Four basic tranformational symmetries that can be used in tessellations

    1)
    2)
    3)
    4)
    • 1) Translation
    • 2) Rotation
    • 3) Reflection
    • 4) Glide Reflection
  16. Sum of the Squares
    Sum of the squares of the differences between each item and the mean

    (Each number - average)(Same number - average)
  17. Variance
    The sum of the squares quanitity divided by the number of items
  18. Standard Deviation
    The square root of the variance
  19. Pythagoras Theorem
    a2 + b2 = c2
  20. Number of yards in a mile
    1,760
  21. One Meter is approximately ______ yards.
    One