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Lessons 1-20 & Investigations 1 & 2

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
Addends   One of two or more numbers that are added to find a sum  
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Counting numbers   The numbers used to count; the members of the set {1,2,3,4,5,...}. Also called natural numbers.  
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Decimal point   The symbol in a decimal number used as a reference point for place value.  
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Difference   The result of subtraction.  
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Dividend   A number that is divided.  
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Divisor   A number by which another number is divided; a factor of a number.  
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Evaluate   To find the value of an expression  
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Factors   One of two or more numbers that are multiplied; a whole number that divides another whole number without a remainder; to write as a product of factors  
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Minuend   A number from which another number is subtracted  
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Natural numbers   The numbers used to count; the members of the set {1,2,3,4,5,...}. Also called counting numbers  
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Operations of Arithmetic   The four basic mathematical operations; addition, subtraction, multiplication, and division.  
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Product   The result of multiplication.  
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Quotient   The result of division.  
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Subtrahend   A number that is subtracted.  
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Sum   The result of addition.  
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Variable   A quantity that can change or assume different variables.  
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Whole numbers   The numbers of the set {0,1,2,3,4,...}.  
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Align   To arrange in a line.  
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Additive Identity   The number 0. The sum of any number and 0 is equal to the initial number. In symbolic form, a + 0 = a.  
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Associative Property of Addition   The grouping of addends does not affect their sum. In symbolic form a + (b + c) = (a + b) +c.  
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Associative Property of Multiplication   The grouping of factors does not affect their product. In symbolic form a x (b x c) = (a x b) x c.  
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Commutative Property of Addition   Changing the order of addends does not change their sum. a + b = b = a  
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Commutative Property of Multiplication   Changing the order of factors does not change their product. a x b = b x a  
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Fact Family   A group of numbers related by addition and subtraction or by multiplication and division. Four mathematical fact statements can be formed using the numbers in a fact family.  
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Identity Property of Addition   The sum of any number and 0 is equal to the initial number. a + 0 = a  
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Identity Property of Multiplication   The product of any number and 1 is equal to the initial number. a x 1 = a  
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Inverse Operations   Operations that undo one another.  
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Multiplicative Identity   The number 1.  
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Zero Property of Multiplication   Zero times any number is zero. 0 x a = 0  
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Equation   A statement that uses the symbol "=" toe how that two quantities are equal.  
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Variable   A quantity that can change or assume different values. Also, a letter used to represent an unknown in an expression or equation.  
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Unknown   A variable, or the quantity it represents.  
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Compare   Looking at two numbers to find out if one number is greater than, less than, or equal to another number.  
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Comparison Symbol   The symbol used to show the comparison of two numbers: greater than (>), less than (<), or equal (=). The pointed end of the symbol points to the lesser number.  
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Geometric Sequence   A sequence whose terms share a common ratio. In the sequence {2,4,8,16,32,...} each term can be multiplied by 2 to find the next term.  
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Integers   The set of counting numbers, their opposites, and zero; the members of the set {...,-2,-1,0,1,2,...}.  
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Negative Numbers   Numbers less than zero  
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Number Line   A line for representing and graphing numbers. Each point on a line corresponds to a number.  
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Origin   The location of the number 0 on a number line; the point (0,0) on a coordinate plane.  
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Perfect squares   The product when a whole number is multiplied by itself.  
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Positive numbers   Numbers greater than zero  
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Sequence   A list of numbers arranged according to a certain rule  
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Terms   A numbers that serves as a numerator or denominator of a fraction; one of the numbers in a sequence; a constant or variable expression composed of one or more factors in an algebraic expression  
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Infinite   Endless  
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Expanded Notation   A way of writing a number as the sum of the products of the digits and the place values of the digits.  
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Place value   The value of a digit based on its position within a number.  
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Divisible   Able to be divided by a whole number without a remainder  
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Divisibility Tests   Testing the divisibility of a number without actually dividing  
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Greatest Common Factor (GCF)   The largest whole number that is a factor of two or more indicated numbers  
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Factors   One of two or more numbers that are multiplied; a whole number that divides another whole number without a remainder; to write as a product of factors  
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Acute angle   an angle whose measure is between 0 degrees and 90 degrees  
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Angle   The opening that is formed when two lines, rays, or segments intersect  
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Geometry   A major branch of arithmatics that deals with shapes, sizes, and other properties of figures.  
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Intersect   to share a common point or points  
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Line   a straight collection of points extending in opposite directions  
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Oblique lines   lines that are neither vertical or horizontal  
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Obtuse angle   an angle whose measure is between 90 degrees and 180 degrees  
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Parallel lines   lines in the same planethat do not intersect  
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Perpendicular lines   Two lines that intersect at right angles  
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Plane   In geometry, a flat surface that has no boundaries  
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Point   An exact position on a line, on a plane, or in space  
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Ray   A part of a line that begins at a point and continues without end in one direction  
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Right angle   An angle that forms a square corner and measures 90 degrees, often marked with a small square  
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Segment   A part of a line with two distinct endpoints  
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Skew lines   In 3-dimensional space, lines that do not intersect and are not in the same plane  
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Straight lines   shortest difference between any two points on a plane  
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Vertex   A point of an angle, polygon, or polyhedron where two or more lines, rays, or segments meet  
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Oblique   Indirect or evasive, slanting  
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Denominator   The bottom term of a fraction  
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Fractions   A number that names part of a whole  
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Mixed number   A whole number and a fraction together  
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Numerator   The top term of a fraction  
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Percents   A fraction whose denominator of 100 is expressed as a % sign  
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Common denominator   A common multiple of the denominators of two or more fractions  
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Inverse Property of Multiplication   The product of a number and its reciprocal equals 1  
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Reciprocal   Two numbers whose product is 1  
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Adjacent   Next to  
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Convert   To change in the form of a measurement or different units, without a change in the size or amount  
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Improper Fractions   A fraction with a numerator equal to or greater than the denominator  
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Probability   A way of describing the likelihood of an event; the ratio of favorable outcomes to all possible outcomes  
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Complement of an event   All outcomes that are not the event  
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Equivalent fractions   Different fractions that name the same amount  
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Lowest terms   When the only common factor of the numerator and denominator is 1  
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Terms   numbers that serve as numerators or denominators in fractions; one of the numbers in a sequence; a constant or variable expression composed of one or more factors in an algebraic expression  
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Function   The rule for using one number (an input) to calculate another number (an output)  
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U.S. Customary System   A system of measurements used almost exclusively in the United States  
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Capacity   The amount a container can hold when filled  
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12 inches   1 foot  
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3 feet   1 yard  
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1,760 yards   1 mile  
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5,280 feet   1 mile  
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8 ounces   1 cup  
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2 cups   1 pint  
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2 pints   1 quart  
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4 quarts   1 gallon  
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212 degrees Fahrenheit   Temperature at which water boils  
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98.6 degrees Fahrenheit   Normal body temperature  
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68 degrees Fahrenheit   Room temperature  
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32 degrees Fahrenheit   Temperature at which water freezes  
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Degrees   Units for measuring angles; units for measuring temperatures  
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Protractor   A tool that is used to measure and draw angles  
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Vertex   A point of an angle, polygon,or polyhedron where two or more lines, rays, or segments meet  
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Congruent   Having the same size and shape  
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Corresponding parts   Sides or angles of similar polygons that occupy the same relative positions  
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Polygon   A closed, flat shape with straight sides  
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Regular polygon   A polygon in which all sides have equal length and all angles have equal measures  
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Similar   Having the same shape but not necessarily the same size, corresponding parts are proportional  
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Perimeter   The distance aroun a closed, flat shape  
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Area   The size of the inside of a flat shape, measured in square units  
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Base   A designated side (or face) of a geometric figure; the lower number in an exponential expression  
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Exponent   The upper number in an exponential expression that shows how many times the base is to be used as a factor  
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Exponential expressions   An expression that indicates that the base is sot be used as a factor the number of times shown by the exponent  
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Square root   One of two equal factors of a number  
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Area formula for a rectangle   length x width  
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Area formula for a square   side x side  
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Arc   Part of a circle  
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Center   The point inside a circle or sphere from which all points on the circle or sphere are equally distant.  
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Central angle   An angle whose vertex is the center of the circle.  
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Chord   A segment whose endpoints lie on a circle.  
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Circle   A closed, curved shape in which all points on the shape are the same distance from its center.  
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Circumference   The perimeter of a circle  
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Compass   A tool used to draw angles and arcs  
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Concentric circles   Two or more circles with a common center  
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Diameter   The distance across a circle through its center  
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Hexagon   Six-sided polygon  
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Inscribed   A polygon within another shape when all points of the polygon lie within the other shape, and all of the polygon's vertices lie on the other shape.  
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Radius (radii)   The distance from the center of the circle or sphere to a pony on the circle or sphere.  
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Semicircle   A half circle  
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