Study your flashcards anywhere!
Download the official Cram app for free >
 Shuffle
Toggle OnToggle Off
 Alphabetize
Toggle OnToggle Off
 Front First
Toggle OnToggle Off
 Both Sides
Toggle OnToggle Off
 Read
Toggle OnToggle Off
How to study your flashcards.
Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key
Up/Down arrow keys: Flip the card between the front and back.down keyup key
H key: Show hint (3rd side).h key
A key: Read text to speech.a key
54 Cards in this Set
 Front
 Back
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

stepbystep 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


Welldefined

elements are clearly specified


Onetoone 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
