# PRAXIS II Elementary Education 5015 - Mathematics Curriculum

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 Author: sout0112 ID: 152769 Filename: PRAXIS II Elementary Education 5015 - Mathematics Curriculum Updated: 2012-05-07 18:16:47 Tags: PRAXIS II Folders: 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