| A | B | C | D | E | F | G | H | I | K | L | M - Z |
| A | |
| A.M. | Abbreviation that indicates time from midnight to noon. |
| Ab/c key | A calculator key used to change an improper fraction to a mixed number. |
| abacus | A counting frame to aid in mathematical computation. |
| about | Key word used to indicate that an estimate is needed. |
| acute angle | An angle that measures less than 90º. |
| acute triangle | A triangle with three acute angles. |
| addend | Any one of a set of numbers to be added. |
| addition | A joining operation on two or more numbers that gives a total; the sum. |
| addition equation | An equation that involves addition. |
| addition expression | A mathematical expression that contains only numbers and a plus sign (+). |
| adjusted estimate | After a rough estimate is made, the back digits (the digits to the right of the front digits of a number) are used to adjust or refine an estimate of a sum. |
| algebraic expression | A mathematical expression that contains one or more variables. |
| analogy | A mathematical expression involving two sets where the relationship between the parts of the first set is the same as the relationship between the parts of the second set. (e.g., 1 is to 4 as 10 is to 40). |
| angle | A figure formed by two rays that have a common endpoint. |
| angle bisector | A ray that bisects an angle into two congruent parts. |
| arc | The curved path between any two points on a circle. |
| area | The number of square units needed to cover a flat surface. |
| array | A number of objects arranged in rows and columns, used to model multiplication. |
| associative (grouping) property | Changing the grouping of the addends (or factors) does not change the sum (or product). |
| average | The quotient obtained by dividing a sum by the number of addends. Also called mean. |
| axis | The horizontal or vertical number line of a graph. |
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| B | |
| BACK (BK) | A LOGO command that tells the LOGO turtle to move back a given number of steps. |
| bar graph | A graph that uses bars to show data. The bars may be of different lengths. |
| base | One of the equal factors in a product; a selected side or face of a geometric figure. |
| BASIC | An acronym for Beginner's All-purpose Symbolic Instruction Code; a computer language used to process information. |
| benchmark | An object of known measure used to estimate the measure of other objects. |
| better buy | The product which costs less after comparing the unit costs. |
| billion | 1,000,000,000 |
| bisect | To divide a line segment or an angle into two congruent parts. |
| box-and-whisker plot | A diagram that analyzes data using the range of the set. It consists of a number line, a center mark to represent the median, a "box" between the quartiles, and two "whiskers" that extend to the extremes. |
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| C | |
| cancellation | The dividing of any numerator and denominator of a set of fractions by their greatest common factor before multiplying. |
| capacity | The amount, usually of liquid, a container can hold. |
| cell | The basic unit of an computer spreadsheet; the intersection of a column and a row. |
| Celsius (ºC) scale | The temperature scale in which 0ºC is the freezing point of water and 100ºC is the boiling point of water. |
| center | The point that is the same distance from every point on a circle. |
| centi- | A prefix meaning hundredth. (e.g., 1 centimeter = 1/100 of a meter) |
| centigram (cg) | A metric unit used to measure mass; 100 cg = 1 g. |
| centiliter (cL) | A metric unit used to measure capacity; 100 cL = 1 L. |
| centimeter (cm) | A metric unit used to measure length; 1 cm = 10 mm. |
| centiquad | A manipulative, also known as a unit, used to represent a unit of measure in the decimal system. 10 centiquads = 1 deciquad; 100 centiquads = 1 quad. |
| central angle | An angle whose vertex is the center of a circle. |
| century (cent.) | A unit used to measure time; 100 y = 1 cent. |
| certain event | An event whose outcome is certain to occur. Its probability is 1. |
| chord | A line segment with both endpoints on a circle. |
| circle | A simple closed curve in which all the points are the same distance from a point called the center. |
| circle graph | A graph that uses the area of a circle to show the division of a total amount of data. |
| circumference | The distance around a circle. |
| classify | To categorize or sort a set of objects, numbers, or other things according to some common attribute. |
| closed figure | A figure that has no openings. |
| closed statement | A statement that can be judged true or false. |
| cluster | Numbers in a set that group around the same number. |
| combination | A group of subsets of a set without regard to order (e.g., in the set consisting of A, B, and C, {A,B} and {B,A} are the same combination). |
| combined event | An event in probability that is made up of two events joined by the words or, and, or not. |
| Combining Strategies | A strategy that requires the problem solver to interpret given information, then select and combine appropriate strategies to solve a problem. |
| command | A word that tells a computer what to do. |
| commission | Money earned equal to a percent (%) of the selling price of items sold. |
| common denominator | A number that is a multiple of the denominators of two or more fractions. |
| common factor | A number that is a factor of two or more numbers. |
| common multiple | A number that is a multiple of two or more numbers. |
| commutative (order) property | Changing the order of the addends (or factors) does not change the sum (or product). |
| compare | To determine similarities and differences of objects; to determine whether a number is less than, equal to, or greater than another number. |
| compass | An instrument used to draw circles. |
| compatible numbers | Numbers that are easy to compute with mentally. |
| complementary angles | Two angles the sum of whose measures is 90º. |
| complex fraction | A fraction whose numerator or denominator (or both) is a fraction or a mixed number. |
| composite number | A whole number greater than 1 that has more than two factors. |
| compound event | An event in probability that involves two or more events that are considered as a single event. One event follows the other. |
| compound figures | Figures formed by the intersection of two or more regular polygons. |
| compound statement | A statement in logic comprised of two statements joined by the word and or the word or. |
| computer | A programmable electronic device that can store, retrieve, and process data. |
| computer program | A set of commands and statements that tell a computer what to do. |
| computer spreadsheet | A computer program that arranges data in a column-and-row format. |
| concave polygon | A polygon with one or more diagonals that have points outside the polygon. |
| cone | A space, or solid, figure with one circular base, one vertex, and a curved surface. |
| congruent ( |
A word or symbol used to indicate equivalency of measure. |
| congruent figures | Figures that have the same size and shape. |
| conjunction | A compound statement formed by joining two statements with the connective and. |
| constant function | A calculator key that stores an operation and number in a calculator. Each time this key is pressed, the operation and the number following it are repeated in the value in the display. |
| convex polygon | A polygon whose diagonals do not have any points outside the polygon. |
| coordinate plane | A grid divided into four quadrants used to locate points by naming ordered pairs. |
| coordinates | An ordered pair of numbers used to locate a point on a grid. |
| corner | An angle; two rays with a common endpoint; the point on a plane figure where two sides meet; the point on a space (or solid) figure where three or more edges meet. |
| corresponding angles | The matching angles of congruent figures. |
| corresponding parts | The matching sides and angles of congruent figures. |
| corresponding sides | The matching sides of congruent figures. |
| counting backwards | To name numbers in descending order. |
| counting on | To name numbers in ascending order. |
| cross products | The products obtained by multiplying the numerator of one fraction by the denominator of a second fraction and the denominator of the first fraction by the numerator of the second fraction. |
| cube | A space, or solid, figure with six congruent square faces. |
| cubed | A number multiplied by itself three times. |
| cubic centimeter (cm³) | A metric unit used to measure volume; 1 cm³ = 1000 mm³; 10 000 cm³ = 1 m³. |
| cubic decimeter (dm³) | A metric unit used to measure volume; 1 dm³ = 1000 cm³; 1000 dm³ = 1 m³. |
| cubic foot (ft³) | A customary unit used to measure volume; 1 ft³ = 1728 in.³; 27 ft³ = 1 yd³. |
| cubic inch (in.³) | A customary unit used to measure volume; 1728 in.³ = 1 ft³. |
| cubic meter (m³) | A metric unit used to measure volume; 1 m³ = 1 000 000 mm³; 1 m³ = 1000 dm³. |
| cubic millimeter (mm³) | A metric unit used to measure volume; 1000 mm³ = 1 cm³. |
| cubic unit | A unit used to measure volume. |
| cubic yard (yd³) | A customary unit used to measure volume; 1 yd³ = 27 ft³. |
| cup (c) | A customary unit used to measure capacity; 1 c = 8 fl oz; 2 c = 1 pt; 4 c = 1 qt. |
| curved surface | A surface that is not flat. |
| customary system | The measurement system that uses inch, foot, yard, and mile; fluid ounce, cup, pint, quart, and gallon; ounce, pound, and ton. |
| cylinder | A space, or solid, figure with two parallel, congruent circular bases and a curved surface. |
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| D | |
| DATA | A statement in BASIC that stores a list of items used by READ statements. |
| data | Facts or information. |
| database | A group of facts and figures that are related and can be arranged in different ways. |
| database | A large collection of data that is organized and stored in a manner that facilitates quick, easy retrieval. |
| day (d) | A unit used to measure time; 24 h = 1 d; 7 d = 1 wk; 365 d = 1 y. |
| decagon | A polygon with ten sides. |
| deci- | A prefix meaning tenth. (e.g., 1 decimeter = 1/10 of a meter) |
| decigram (dg) | A metric unit used to measure mass; 1 dg = 10 cg; 10 dg = 1 g. |
| deciliter (dL) | A metric unit used to measure capacity; 1 dL = 10 cL; 10 dL = 1 L. |
| decimal | A number with a decimal point separating the ones from the tenths place. |
| decimal point | A point used to separate ones and tenths in decimals. |
| decimeter (dm) | A metric unit used to measure length; 1 dm = 10 cm; 1 dm = 100 mm. |
| decimeter cube | A manipulative used to represent a metric measure of volume, 1 dm3. |
| deciquad | A manipulative, also known as a rod, used to represent a unit of measure in the decimal system. 1 deciquad = 10 centiquads; 10 deciquads = 1 quad. |
| degree (°) | A unit used to measure angles; a unit used to measure temperature on the Celsius (ºC) or the Fahrenheit (ºF) scale. |
| degree Celsius (°C) | A unit on the Celsius (°C) scale for measuring temperature. |
| degree Fahrenheit (°F) | A unit on the Fahrenheit (°F) scale for measuring temperature. |
| deka- | A prefix meaning ten. (e.g., 1 dekameter = 10 meters) |
| dekagram (dag) | A metric unit used to measure mass; 1 dag = 10 g; 100 dag = 1 kg. |
| dekaliter (daL) | A metric unit used to measure capacity; 1 daL = 10 L; 100 daL = 1 kL. |
| dekameter (dam) | A metric unit used to measure length (l) or distance; 1 dam = 10 m; 100 dam = 1 km. |
| denominator | The number below the bar in a fraction. |
| dependent events | Events in probability such that the outcome of one event depends on the outcome of another. |
| diagonal | A line segment, other than a side, that joins two vertices of a polygon. |
| diameter | A line segment that passes through the center of a circle and has both endpoints on the circle. |
| difference | The answer in subtraction. |
| digit | Any one of the numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. |
| discount | A reduction on the regular, or list, price of an item. |
| disjunction | A compound statement formed by joining two statements with the connective or. |
| display | The window on a calculator that shows the information entered. |
| distributive property | Multiplying a number by a sum is the same as multiplying the number by each addend of the sum and then adding the products. |
| dividend | The number to be divided. |
| divisible | A number is divisible by another number if the remainder is 0 when the number is divided by the other number. |
| division | As sharing: a given set is partitioned into a specified number of groups to determine how many are in each equal group. As separating: a given set is partitioned by a specified amount to determine how many equal groups. |
| division expression | A mathematical expression that involves division. |
| division sentence | A number sentence that involves division. |
| divisor | The number by which the dividend is divided. |
| dollar ($) | A U.S. monetary unit equal in value to 100 cents (100¢), and represented by the one dollar bill (or coin); 1 dollar = 100 pennies; 1 dollar = 20 nickels; 1 dollar = 10 dimes; 1 dollar = 4 quarters. |
| double bar graph | A graph that uses pairs of bars to compare two sets of data. |
| double line graph | A graph that uses pairs of line segments to compare two sets of data. |
| doubles fact | An addition or subtraction fact in which the parts are the same. (e.g., 3 + 3 = 6; 8 - 4 = 4) |
| downward slope | The slope of a linear function whose second coordinate consistently decreases. |
| Draw a Picture | A problem-solving strategy that involves modeling by drawing a picture in order to make comparisons or complete computations. |
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| E | |
| edge | The line segment where two faces of a space figure meet. |
| elapsed time | The amount of time between two given times. |
| END | A BASIC command that tells the computer it has reached the end of a program. |
| endpoint | The point at the end of a line segment or ray. |
| equal parts | Portions that are the same size and the same shape. |
| equalize | To make groups equal by adding more or taking away objects. |
| equation | A statement that two mathematical expressions are equal. |
| equilateral triangle | A triangle with three congruent sides and three congruent angles. |
| equivalent decimals | Different decimals that name the same amount. |
| equivalent fractions | Fractions that name the same amounts. |
| estimate | An approximate answer; to find an answer that is close to the exact answer. |
| evaluate | To find the number that an algebraic expression names. |
| even number | A whole number divisible by 2. |
| event | A set of one or more outcomes of a probability experiment. |
| expanded form | The written form of a number that shows the place value of each of its digits. |
| expanded scale | A scale of a graph that does not begin at the origin, and/or has exaggerated increments. It can be used to mislead or misinterpret data. |
| exponent | A number that tells how many times another number is, to be used as a factor. |
| Extra Information | A problem-solving strategy that requires the distinction between relevant and irrelevant information to solve a problem. |
| extremes | The greatest and least numbers in a set of data; a name for parts of a proportion [in the proportion a/b = c/d, a and d are extremes (b and c are means)]. |
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| F | |
| face | A flat surface of a space figure. |
| fact family | A set of related addition and subtraction (or multiplication and division) facts that use the same numbers (e.g., 3, 4, 7: 3 + 4 = 7, 4 + 3 = 7, 7 - 4 = 3, 7 - 3 = 4; 2, 3, 6: 2 x 3 = 6, 3 x 2 = 6, 6 � 3 = 2, 6 � 2 = 3). |
| factor | One of two or more numbers that are multiplied to form a product. |
| factor pair | Two numbers that are multiplied to give a specific product. |
| factor tree | A diagram used to find the prime factors of a number. |
| Fahrenheit (ºF) scale | The temperature scale in which 32ºF is the freezing point of water and 212ºF is the boiling point of water. |
| field | In a database, an assigned area designated for a specific category of data. |
| file | In a database, an organized collection of related data, comprised of records. |
| Find a Pattern | A strategy in which the problem solver must discover the pattern and, in most cases, extend it in order to solve the problem. |
| flat surface | A surface that is not curved. |
| flip | To turn a figure to its reverse side. |
| flip image | The second figure that results after a flip occurs to a first figure. The flip image is
congruent ( |
| flip line | The imaginary line over which a figure is flipped to form its mirror image, or flip image. Also called the line of reflection. |
| flowchart | A diagram that shows a step-by-step progression through a procedure or system. |
| fluid ounce (fl oz) | A customary unit used to measure capacity; 8 fl oz = 1 c; 16 fl oz = 1 pt. |
| foot (ft) | A customary unit used to measure length (l) or distance; 1 ft = 12 in.; 3 ft = 1 yd; 5280 ft = 1 mi. |
| FOR ... NEXT loop | BASIC statements that tell the computer to repeat program lines a given number of times. |
| formula | A rule that is expressed by using symbols. |
| FORWARD (FD) | A LOGO command that tells the LOGO turtle to move forward a given number of steps. |
| fraction | A number that names a part of a whole, a region, or a set. |
| frequency table | A chart that shows how often each item appears in a set of data. |
| front-end estimation | A way of estimating by using the front, or greatest, digits to find an approximate answer. |
| function | A set of ordered pairs in which no two ordered pairs have the same first coordinate. |
| function table | A chart that shows how a first quantity depends on a second quantity. |
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| G | |
| gallon (gal) | A customary unit used to measure capacity; 1 gal = 4 qt; 1 gal = 8 pt. |
| googol | The figure 1 followed by 100 zeroes, equal to |
| googolplex | The figure 1 followed by a googol of zeroes, equal to |
| GOTO | A statement in BASIC that tells the computer to branch to a specific line. |
| graduated cylinder | A tool used to measure capacity. |
| gram (g) | A metric unit used to measure mass; 1 g = 1000 mg. |
| graph | A drawing that shows a relationship between certain sets of numbers. |
| greatest common factor (GCF) | The greatest number that is a factor of two or more numbers. |
| Greenwich mean time (GMT) | The time at the prime meridian (0° longitude), used as the world's standard time. |
| grid | A network of perpendicular lines used to locate points. |
| Guess and Test | A problem-solving strategy that requires the problem solver to guess a solution, test its correctness, and refine the guess using logical reasoning. |
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| H | |
| half gallon | One half of the customary unit gallon (gal) used to measure capacity; 1 half gallon = 2 qt; 2 half gallons = 1 gal. |
| half inch | One half of the customary unit inch (in.) used to measure length (l); 2 half inches = 1 inch. |
| half turn | A turn that causes a figure to face in the opposite direction; a turn of 180º. |
| half-turn symmetry | The symmetry that occurs when a figure is turned halfway (180º) around its center point and the figure that results looks exactly the same. |
| hecto- | A prefix meaning hundred. (e.g., 1 hectometer = 100 meters) |
| hectogram (hg) | A metric unit used to measure mass; 1 hg = 100 g; 10 hg = 1 kg. |
| hectoliter (hL) | A metric unit used to measure capacity; 1 hL = 100 L; 10 hL = 1 kL. |
| hectometer (hm) | A metric unit used to measure length (l) or distance; 1 hm = 100 m; 10 hm = 1 km. |
| height | The perpendicular distance between the bases of a geometric figure. In a triangle, the perpendicular distance from the opposite vertex to the line containing the base. |
| heptagon | A polygon with seven sides. |
| hexagon | A polygon with six sides. |
| hexagonal prism | A prism with two parallel hexagonal bases. |
| hexagonal pyramid | A pyramid with a hexagonal base. |
| Hidden Information | A strategy that requires the problem solver to discover a piece of information not directly stated in the problem that is necessary to solve it. |
| higher terms | A fraction is in higher terms than its equivalent fraction when its numerator and denominator are greater than the numerator and denominator of its equivalent fraction. |
| HOME | A LOGO command that puts the LOGO turtle back in its starting position. |
| hour (h) | A unit used to measure time; 1 h = 60 min; 24 h = 1 d. |
| hundredth | 1/100 |
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| I | |
| identity property | Adding 0 to a number or multiplying a number by 1 does not change the number's value. |
| IF-THEN | A statement in BASIC that makes a decision that affects the flow of the program based on the result of an expression. |
| impossible event | An event whose outcome has no chance of occuring. Its probability is 0. |
| improper fraction | A fraction with its numerator equal to or greater than its denominator. |
| inch (in.) | A customary unit used to measure length (l); 12 in. = 1 ft. |
| independent events | Events in probability such that the outcome of one event does not depend on the outcome of another. |
| inequality | A statement that two mathematical expressions are not equal. It uses an inequality symbol: <, >,
or |
| INPUT | A BASIC command that tells the computer to wait for a response from the user. |
| Integer-divide key | A calculator key that divides two whole numbers and displays the result as a quotient (Q) and remainder (R). |
| integers | The whole numbers and their opposites. |
| Interpret the Remainder | A strategy that requires the problem solver to write a division sentence based on a problem, solve the sentence, and then examine the remainder in order to solve the problem. |
| intersecting lines | Lines that meet or cross. |
| interval | The number of units between spaces on a graph's scale. |
| intervals | The equally spaced increments on the scale of a graph. |
| inverse operations | Mathematical operations that undo each other, such as addition and subtraction or multiplication and division. |
| irregular figure | A closed figure without a center, whose sides are not line segments. |
| is greater than (>) | The term or symbol used to indicate an inequality in which the first amount has a greater value than the second amount. (e.g., 16 is greater than 12; 2 + 3 > 1 + 0) |
| is less than (<) | The term or symbol used to indicate an inequality in which the first amount has a lesser value than the second amount. (e.g., 12 is less than 16, 1 + 0 < 2 + 3) |
| isosceles right triangle | A triangle with two congruent sides, two congruent angles (45°), and one right angle (90°). |
| isosceles triangle | A triangle with two congruent sides and two congruent angles. |
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| K | |
| key | A list of words or phrases that explains the symbols used in a table. |
| keyboard | Part of a computer used to input information. |
| kilo- | A prefix meaning thousand. (e.g., 1 kilometer = 1000 meters) |
| kilogram (kg) | A metric unit used to measure mass; 1 kg = 1000 g; 1000 kg = 1 t. |
| kiloliter (kL) | A metric unit used to measure capacity; 1 kL = 1000 L. |
| kilometer (km) | A metric unit used to measure distance; 1 km = 1000 m. |
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| L | |
| leap year | A special unit used to measure time; 1 leap year = 366 days, and occurs once every four years (e.g., 1992, 1996, 2000, etc.). |
| least common denominator (LCD) | The least common multiple of the denominators of two or more fractions. |
| least common multiple (LCM) | The least number, other than 0, that is a common multiple of two or more numbers. |
| LEFT (LT) | A LOGO command that tells the LOGO turtle to turn left a given number of degrees. |
| length | The measure of distance between two points. |
| length (l) | The measure of a horizontal dimension of a space figure; the measure of distance between two points. |
| LET | A BASIC statement that assigns a value to a variable. |
| line | A set of points in order extending indefinitely in opposite directions. |
| line graph | A graph that uses points on a grid connected by line segments to show data. |
| line numbers | A line in a computer program that tells the computer what to do. |
| line of reflection | Another name for a flip line. |
| line of symmetry | A line that divides a figure into two congruent parts. |
| line plot | A diagram that organizes data on a number line. |
| line segment | A part of a line that has two endpoints. |
| linear function | A function that, when graphed, produces a straight line. |
| linear measure | A measure of length. |
| liter (L) | A metric unit used to measure capacity; 1 L = 1000 mL. |
| Logic and Analogies | A problem-solving strategy that combines reasoning skills of the Logical Reasoning strategy with the use of an analogy in order to solve a problem. |
| Logical Reasoning | A problem-solving strategy that involves using clues given in a problem in order to eliminate information until the correct solution is arrived at. |
| LOGO | A computer language that can be used to draw figures. |
| LOGO turtle | A graphic element used to indicate the position of the cursor in a LOGO program. |
| lowest terms | A fraction is in lowest terms when its numerator and denominator have no common factors other than 1. |
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