PRAXIS II Elementary Education 5015 - Mathematics Curriculum

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

• Commutative
• Associative
• Identity
• Inverse
• Distributive

You can change the order of the terms or factors.

• a + b = b + a
• ab = ba

You can regroup the terms as you like.

• a + (b + c) = (a + b) + c
• a(bc) = (ab)c

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

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

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

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

Two-dimensional figure that can be cut out and folded up to make a three-dimensional solid

Six square net

4 equilateral triangle net

8 equilateral triangle net

20 equilateral triangle net

12 regular pentagon net

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

• 1) Translation
• 2) Rotation
• 3) Reflection
• 4) Glide Reflection

Sum of the squares of the differences between each item and the mean

(Each number - average)(Same number - average)

The sum of the squares quanitity divided by the number of items

The square root of the variance

a2 + b2 = c2

1,760

One