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Vocabulary Cards and Word Walls Revised: June 29, 2011 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board of Education, August 2010. The cards are arranged alphabetically. Each card has three sections. o Section 1 is only the word. This is to be used as a visual aid in spelling and pronunciation. It is also used when students are writing their own “kid-friendly” definition and drawing their own graphic. o Section 2 has the word and a graphic. This graphic is available to be used as a model by the teacher. o Section 3 has the word, a graphic, and a definition. This is to be used for the Word Wall in the classroom. For more information on using a Word Wall for Daily Review – see “Vocabulary – Word Wall Ideas” on this website. These cards are designed to help all students with math content vocabulary, including ELL, Gifted and Talented, Special Education, and Regular Education students. For possible additions or corrections to the vocabulary cards, please contact the Granite School District Math Department at 385-646-4239. Bibliography of Definition Sources: Algebra to Go, Great Source, 2000. ISBN 0-669-46151-8 Math on Call, Great Source, 2004. ISBN-13: 978-0-669-50819-2 Math at Hand, Great Source, 1999. ISBN 0-669-46922 Math to Know, Great Source, 2000. ISBN 0-669-47153-4 Illustrated Dictionary of Math, Usborne Publishing Ltd., 2003. ISBN 0-7945-0662-3 Math Dictionary, Eula Ewing Monroe, Boyds Mills Press, 2006. ISBN-13: 978-1-59078-413-6 Student Reference Books, Everyday Mathematics, 2007. Houghton-Mifflin eGlossary, http://www.eduplace.com Interactive Math Dictionary, http://www.amathsdictionaryforkids.com/ acute angle acute angle acute angle An angle with a measure less than 90°. add add 2+3=5 To combine, put together two or more quantities. add 2+3=5 addend 5 + 3 + 2 = 10 addend addends addend 5 + 3 + 2 = 10 addends Any number being added. additive comparison additive comparison How many more hearts than stars are there? Problems that ask how much more (or less) one amount is than another. additive comparison How many more hearts than stars are there? algorithm algorithm algorithm 24 x 3 12 60 72 24 x 3 12 60 72 Multiply the ones 3 x 4 = 12 Multiply the tens 3 x 20 = 60 Add the partial products Multiply the ones 3 x 4 = 12 Multiply the tens 3 x 20 = 60 Add the partial products A step-by-step method for computing. angle A angle B θ Angle C A Two rays that share an endpoint. angle B θ Angle C angle measure angle measure angle measure The measure of the size of an angle. It tells how far one side is turned from the other side. A one degree angle turns through 1/360 of a full circle. arc B arc A B arc A Part of a circle between any two of its points. area area area 2 rows of 5 = 10 square units or 2 x 5 = 10 square units 2 rows of 5 = 10 square units or 2 x 5 = 10 square units The measure, in square units, of the inside of a plane figure. area model area model area model 9 x 28 = (9 x 20) + (9 x 8) = 252 A model of multiplication that shows each place value product. 9 x 28 = (9 x 20) + (9 x 8) = 252 array array 3 rows of 5 3x5 array An arrangement of objects in equal rows. Associative Property of Addition Associative Property of Addition Associative Property of Addition (5 + 7) + 3 = 5 + (7 + 3) 12 + 3 = 5 + 10 15 = 15 (5 + 7) + 3 = 5 + (7 + 3) 12 + 3 = 5 + 10 15 = 15 Changing the grouping of three or more addends does not change the sum. Associative Property of Multiplication Associative Property of Multiplication Associative Property of Multiplication (5 x 7) x 3 = 5 x (7 x 3) 35 x 3 = 5 x 21 105 = 105 (5 x 7) x 3 = 5 x (7 x 3) 35 x 3 = 5 x 21 105 = 105 Changing the grouping of three or more factors does not change the product. attribute large attribute triangle pink large attribute triangle pink A characteristic of an object, such as color, shape, size, etc. benchmark fractions benchmark fractions benchmark fractions 1 1 1 2 3 4 3 2 3 4 1 1 1 2 3 4 3 2 3 4 Fractions that are commonly used for estimation. capacity capacity capacity Capacity refers to the amount of liquid a container can hold. centimeter (cm) centimeter (cm) centimeter (cm) A metric unit of length equal to 0.01 of a meter. circle circle circle A plane figure with all points the same distance from a fixed point called a center. classify classify classify To sort into categories or to arrange into groups by attributes. common denominator 12 is a common denominator for common denominator common denominator 2 3 and 3 4 12 is a common denominator for 2 3 and 3 4 For two or more fractions, a common denominator is a common multiple of the denominators. Commutative Property of Addition Commutative Property of Addition Commutative Property of Addition Changing the order of the addends does not change the sum. Commutative Property of Multiplication Commutative Property of Multiplication Commutative Property of Multiplication 4x7 = 7x4 Changing the order of the factors does not change the product. 4x7 = 7x4 compare compare 4 is more than 3 To decide if one number is greater than, less than, or equal to. compare 4 is more than 3 comparison bars comparison bars comparison bars Used to represent larger and smaller amounts in a comparison situation. Can be used to represent all four operations. Different lengths of bars are drawn to represent each number. compose compose compose To put together components or basic elements. composite number composite number composite number 1x6=6 2x3=6 6 is a composite number 1x6=6 2x3=6 6 is a composite number A number greater than 0 that has more than two different factors. congruent congruent congruent Having exactly the same size and shape. cup (c) cup (c) cup (c) A customary unit of capacity. 1 cup = 8 fluid ounces. customary system customary system customary system A system of measurement used in the U.S. The system includes units for measuring length, capacity, and weight. data data data A collection of information gathered for a purpose. Data may be in the form of either words or numbers. decimal decimal decimal $29.45 53.0 0.02 $29.45 53.0 0.02 A number with one or more digits to the right of a decimal point. decimal fraction decimal fraction decimal fraction 38 0.38 = 100 0.38 = 38 100 A fractional number with a denominator of 10 or a power of 10. Usually written with a decimal point. decimal notation decimal notation decimal notation 4.73 4.73 A number containing a decimal point. decimal point decimal point decimal point $1.55 3.2 decimal point $1.55 3.2 decimal point A dot (.) separating the whole number from the fraction in decimal notation. decompose decompose decompose To separate into components or basic elements. degree (angle measure) degree degree (angle measure) (angle measure) A unit for measuring angles. Based on dividing one complete circle into 360 equal parts. denominator denominator denominator The quantity below the line in a fraction. It tells how many equal parts are in the whole. digit digit digit Any of the symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. difference difference 289 – 146 = 143 difference difference 289 – 146 = 143 difference The amount that remains after one quantity is subtracted from another. Distributive Property Distributive Property Distributive Property When one of the factors of a product is a sum, multiplying each addend before adding does not change the product. divide divide 15 ÷ 3 = 5 To separate into equal groups and find the number in each group or the number of groups. divide 15 ÷ 3 = 5 dividend dividend dividend A number that is divided by another number. divisor divisor divisor The number by which another number is divided. endpoint endpoint endpoint A point at either end of a line segment, or a point at one end of a ray. equal equal equal Having the same value. equation equation equation A mathematical sentence with an equals sign. The amount on one side of the equals sign has the same value as the amount on the other side. equivalent fractions equivalent fractions equivalent fractions Fractions that have the same value. estimate estimate estimate How many jelly beans are in the jar? How many jelly beans are in the jar? To find a number close to an exact amount; an estimate tells about how much or about how many. evaluate 42 – 13 = n evaluate n = 29 42 – 13 = n evaluate n = 29 To find the value of a mathematical expression. expanded form expanded form expanded form 263 = 200 + 60 + 3 263 = 200 + 60 + 3 A way to write numbers that shows the place value of each digit. expression expression expression n+4 n+4 A mathematical phrase without an equal sign. fact family Fact Family for 3, 5, 15 fact family 3 x 5 = 15 15 ÷ 5 = 3 5 x 3 = 15 15 ÷ 3 = 5 Fact Family for 3, 5, 15 fact family 3 x 5 = 15 15 ÷ 5 = 3 5 x 3 = 15 15 ÷ 3 = 5 A group of related facts that use the same numbers. Also called related facts. factor 2 x 6 = 12 factor factors factor 2 x 6 = 12 factors The whole numbers that are multiplied to get a product. factor pairs 2x3=6 factor pairs factor pairs 1x6=6 The factor pairs for 6 are (2,3) and (1,6) 2x3=6 1x6=6 The factor pairs for 6 are (2,3) and (1,6) A set of two whole numbers when multiplied, will result in a given product. foot (ft) foot (ft) foot (ft) A customary unit of length. 1 foot = 12 inches. formula formula formula To find the area of any rectangle, multiply its length by its width. This rule can be written as an equation, A=lxw To find the area of any rectangle, multiply its length by its width. This rule can be written as an equation, A=lxw A rule that is written as an equation. fraction fraction fraction A way to describe a part of a whole or a part of a group by using equal parts. function table function table function table A table that lists pairs of numbers that follow a rule. gallon (gal) gallon (gal) gallon (gal) A customary unit of capacity. 1 gallon = 4 quarts. gram (g) gram (g) The mass of a paperclip is about 1 gram. The mass of a paperclip is about 1 gram. gram (g) The standard unit of mass in the metric system. 1,000 grams = 1 kilogram greater than greater than greater than 5 3 5>3 5 5>3 3 Greater than is used to compare two numbers when the first number is larger than the second number. hour (hr) hour (hr) hour (hr) A unit of time. 1 hour = 60 minutes. 24 hours = 1 day. hundredth hundredth hundredth One of the equal parts when a whole is divided into 100 equal parts. hundredths hundredths hundredths 4.38 4.38 In the decimal numeration system, hundredths is the name of the next place to the right of tenths. Identity Property of Addition Identity Property of Addition Identity Property of Addition 8+0=8 8+0=8 If you add zero to a number, the sum is the same as that number. Identity Property of Multiplication Identity Property of Multiplication 1 group of 3 = 3 1x3=3 If you multiply a number by one, the product is the same as that number. Identity Property of Multiplication 1 group of 3 = 3 1x3=3 improper fraction improper fraction improper fraction A term for a fraction whose numerator is greater than or equal to its denominator. inch (in) inch (in) inch (in) A customary unit of length. 12 inches = 1 foot. intersecting lines intersecting lines intersecting lines Lines that cross at a point. inverse operations inverse operations inverse operations Multiplication and division are inverse operations. 8 x 5 = 40 40 ÷ 5 = 8 Multiplication and division are inverse operations. 8 x 5 = 40 40 ÷ 5 = 8 Operations that undo each other. kilogram (kg) kilogram (kg) kilogram (kg) About 2 ½ pounds A metric unit of mass equal to 1000 grams. About 2 ½ pounds kilometer (km) kilometer (km) kilometer (km) A kilometer (km) is about the length of 4 city blocks. A metric unit of length equal to 1000 meters. A kilometer (km) is about the length of 4 city blocks. length length length How long something is. The distance from one point to another. Length is measured in units such as inches, feet, centimeters, etc. less than less than 3 < less than 3 < 5 5 Less than is used to compare two numbers when the first number is smaller than the second number. like denominators like denominators like denominators 3 5 7 8 8 8 3 5 7 8 8 8 Denominators in two or more fractions that are the same. line line line A set of connected points continuing without end in both directions. line of symmetry line of symmetry line of symmetry A line that divides a figure into two congruent halves that are mirror images of each other. line plot line plot line plot A diagram showing frequency of data on a number line. line segment line segment line segment A part of a line with two endpoints. line symmetric figures line symmetric figures line symmetric figures Figures that can be folded in half and its two parts match exactly. liter (L) liter (L) liter (L) The basic unit of capacity in the metric system. 1 liter = 1,000 milliliters. lowest terms lowest terms 4 8 lowest terms 4 8 in lowest terms is 1 2 in lowest terms is 1 2 When a fraction is expressed with the fewest possible pieces, it is in lowest terms. (Also called simplest form.)