# PRAXIS II Elementary Education 5015 - Mathematics Curriculum

 The flashcards below were created by user sout0112 on FreezingBlue Flashcards. Properties Rules that apply for addition, subtraction, multiplication, or division of real numbers CommutativeAssociativeIdentityInverse Distributive Commutative You can change the order of the terms or factors. a + b = b + aab = ba Associative You can regroup the terms as you like. a + (b + c) = (a + b) + ca(bc) = (ab)c 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 = aa x 1 = a 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 = 0a x (1/a) = 1 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 Arithmetic Sequence a (sub n) = a (sub 1) + (n - 1)d a (sub 1) is the first term in the sequenced = common difference between the termsn = the nth term Net Two-dimensional figure that can be cut out and folded up to make a three-dimensional solid Cube Six square net Tetrahedron 4 equilateral triangle net Octahedron 8 equilateral triangle net Icosahedron 20 equilateral triangle net Dodecahedron 12 regular pentagon net 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 Four basic tranformational symmetries that can be used in tessellations 1) 2) 3) 4) 1) Translation2) Rotation3) Reflection4) Glide Reflection Sum of the Squares Sum of the squares of the differences between each item and the mean (Each number - average)(Same number - average) Variance The sum of the squares quanitity divided by the number of items Standard Deviation The square root of the variance Pythagoras Theorem a2 + b2 = c2 Number of yards in a mile 1,760 One Meter is approximately ______ yards. One Authorsout0112 ID152769 Card SetPRAXIS II Elementary Education 5015 - Mathematics Curriculum DescriptionReview of mathematics concepts Updated2012-05-07T22:16:47Z Show Answers