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### 54 Cards in this Set

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 Ploya's Problem Solving Steps 1. Understand the problem 2. Devise a plan 3. Carry out the plan 4. Look back and reflect on your solution Problem Solving Strategies Guessing Intelligently Trying a Simpler Problem Making a Table Drawing Pictures and Diagrams Considering Centers and Ends Ten for One Principle In a base ten system, ten smaller units are regrouped into one of the next larger unit Roman Numerals I=1 V=5 X=10 L=50 C=100 D=500 M=1000 Place Value Numeration System system in which the value of a numeral is determined only by its basic meaning but also by its location or place Placeholder symbol used to indicate an empty place in a place value system Algorithm step-by-step process for completing a task Terminating Decimals decimal number that contains only a finite number of digits Conversion Principle If a quanity is converted from a smaller unit to a larger unit, then the number of larger units will be smaller than the number of smaller units, and vice versa Rational Number any number that can be written in the form A/B, where A and B are integers and B can't equal 0 12 inches=? 1 foot 3 feet=? 1 yard 1760 yards=? 1 mile 5280 feet=? 1 mile 16 ounces=? 1 pound 2000 pounds=? 1 ton 3 teaspoons=? 1 tablespoon 2 tablespoons=? 1 ounce 8 ounces=? 1 cup 2 cups=? 1 pint 2 pints=? 1 quart 4 quarts=? 1 gallon Angle figure formed by two rays with a common endpoint, called a vertex Radian measure of an angle cooresponding to an arc with a length of one radius 1 gallon is approximately 231 cubic inches 1 mL=? 1 cubic centimeter Function One quanity Y is said to be a function of another quanity X if a specific value for X determines one specific value for Y Four ways to describe a relationship Verbally Symbolically Numerically Graphically variable symbol used to represent a changing quanity Set a collection of things Elements the contents of a set Well-defined elements are clearly specified One-to-one correspondence The elements in one set can be paired up with the elements in another set finite set has a limited number of elements infinite set has elements that go on without end cardinal number describe the size of a set ordinal number whole numbers used to indicate order nominal numbers numbers used for identification, value is irrelevant. Inductive Reasoning the process of making a prediction or a conjecture by observing a pattern among a limited number of observations Phases of Inductive Reasoning 1. Collecting a limited set of data or making a number of observations 2. Look for a pattern 3. Make a conjecture or prediction Venn diagram a diagram of sets and their relationship to each other intersection the set of all elements that are in both A and B. union the set of all elements that are in A or in B or in both A and B. disjoint the intersection of two sets is empty partition a set of subsets that have the following two characteristics: a) the subsets are disjoint and b) the union of the subsets is equivalent to the original set elementary fraction A/B with A parts of one or more sets each of which have been partitioned into B equal parts, where A and B are whole numbers and B can't equal 0 ratio a comparison of two sets of the following form: For every A elements in the first set, there are B elements in the second set Inverse If not p, then not q. Converse If q, then p. Contrapositive If not q, then not p. Complex Numbers a number in the form a+bi, where a and b are real numbers. Fundamental Theorem of Algebra Every polynomial equation of degree N has exactly N complex solutions Like Terms in Addition and Subtraction Terms can be combined into a single term if and only if they have the same unit. Multiplicative Comparison Described amount is a multiplier of the base of comparison. A=m x b