# English 6 th Grade A-L Vocabulary Cards and Word Walls Revised: 1/13/14

Size: px
Start display at page:

Transcription

1 English 6 th Grade A-L Vocabulary Cards and Word Walls Revised: 1/13/14 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 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 Bibliography of Definition Sources: Algebra to Go, Great Source, ISBN Math on Call, Great Source, ISBN-13: Math at Hand, Great Source, ISBN Math to Know, Great Source, ISBN Illustrated Dictionary of Math, Usborne Publishing Ltd., ISBN Math Dictionary, Eula Ewing Monroe, Boyds Mills Press, ISBN-13: Student Reference Books, Everyday Mathematics, Houghton-Mifflin eglossary, Interactive Math Dictionary,

2 absolute value absolute value - 5 = 5 absolute value The distance of a number - 5 = 5 from zero on the number line. Absolute value is always positive.

3 acute triangle acute triangle acute triangle A triangle with no angle measuring 90º or more.

5 Addition Property of Equality Addition Property of Equality 8 5 = = = 8 8 = 8 Addition Property of Equality 8 5 = = = 8 8 = 8 If you add the same number to both sides of an equation, the two sides will remain equal.

6 Additive Identity Property of 0 Additive Identity Property of 0 a + 0 = a Additive Identity Property of 0 a + 0 = a Adding zero to a number gives a sum identical to the given number.

7 additive inverse additive inverse 5 + (-5) = 0 additive inverse 5 + (-5) = 0 The opposite of a number. When a number is added to its additive inverse, the sum is 0.

8 algebraic epression algebraic epression algebraic epression A group of numbers, symbols, and variables that epress an operation or a series of operations.

9 algorithm Partial Product Eample algorithm Step 1: Multiply the ones. 350 Step 2: Multiply the tens Step 3: Multiply the hundreds Step 4: Add the partial products. algorithm Partial Product Eample Step 1: Multiply the ones. 350 Step 2: Multiply the tens Step 3: Multiply the hundreds Step 4: Add the partial products. A step-by-step method for computing.

10 altitude altitude altitude or height base altitude altitude or height The perpendicular distance from a verte to the opposite side of a plane figure. base

11 area area 2 rows of 5 = 10 square units or 2 5 = 10 square units area 2 rows of 5 = 10 square units or 2 5 = 10 square units The measure, in square units, of the interior region of a two-dimensional figure or the surface of a three-dimensional figure.

12 array array 3 rows of 4 or 3 4 array 3 rows of 4 or 3 4 An arrangement of objects in equal rows.

13 Associative Property of Addition Associative Property of Addition (5 + 7) + 3 = 5 + (7 + 3) = = 15 Associative Property of Addition (5 + 7) + 3 = 5 + (7 + 3) = = 15 The sum stays the same when the grouping of addends is changed. (a + b) + c = a + (b + c), where a, b, and c stand for any real numbers.

14 Associative Property of Multiplication Associative Property of Multiplication (5 7) 3 = 5 (7 3) 35 3 = = 105 Associative Property of Multiplication (5 7) 3 = 5 (7 3) 35 3 = = 105 The product stays the same when the grouping of factors is changed. (a b) c = a (b c), where a, b, and c stand for any real numbers.

15 attribute attribute large triangle pink attribute large triangle pink A characteristic. e.g., size, shape or color

16 ais y-ais ais -ais y-ais ais -ais A reference line from which distances or angles are measured in a coordinate grid. (plural - aes)

17 bar graph bar graph bar graph A graph that uses the height or length of rectangles to compare data.

18 bar model bar Sara has 3 times as many stamps in her collection as Emma. Sara has 24 stamps. How many stamps does Emma have? 24 model Sarah s Stamps Emily s Stamps? bar model Sara has 3 times as many stamps in her collection as Emma. Sara has 24 stamps. How many stamps does Emma have? Sarah s Stamps Emily s Stamps? 24 A drawing that looks like a segment of tape, used to illustrate number relationships. (also known as a strip diagram, tape diagram, fraction strip, or length model)

19 base of a polygon base of a altitude or height polygon base base of a polygon altitude or height The side of a polygon that is perpendicular to the altitude or height. base

20 base of a solid figure base of a solid figure base base of a solid figure base A base of a solid figure is usually thought of as a face upon which it can sit. Most solid figures have more than one base.

21 base of an eponent base of an 5 2 eponent base base of an eponent 5 2 base The number that is raised to a power. In 5 2, 5 is the base and 2 is the eponent. 5 is raised to the power of 2. (5 2 = 5 5 = 25)

22 benchmark benchmark benchmark A reference point, such as 0, 1, or 1, that is used 2 for estimating fractions.

23 bo plot bo plot bo plot A diagram that shows the five number summary of a distribution. (Five number summary includes lowest value, lower quartile, median, upper quartile, and highest value.)

24 capacity capacity Metric Units of Capacity 1,000 milliliters (ml) = 1 liter (L) 100 centiliters (cl) = 1 liter 10 deciliters (dl) = 1 liter 1 dekaliter (dal) = 10 liters 1 hectoliter (hl) = 100 liters 1 kiloliter (kl) = 1,000 liters capacity Metric Units of Capacity 1,000 milliliters (ml) = 1 liter (L) 100 centiliters (cl) = 1 liter 10 deciliters (dl) = 1 liter 1 dekaliter (dal) = 10 liters 1 hectoliter (hl) = 100 liters 1 kiloliter (kl) = 1,000 liters A measurement of the amount a container can hold when filled.

25 cluster Hours Watching TV in One Week cluster cluster cluster Hours Watching TV in One Week cluster A group of the same or similar elements gathered or occurring closely together on a graph.

26 coefficient coefficient coefficient coefficient A numerical factor in a term of an algebraic epression. coefficient

27 common denominator common denominator 12 is a common denominator for: 2 3 and 3 4 common denominator 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.

28 common factor common factor 12 (1, 2, 3, 4, 6, 12) 18 (1, 2, 3, 6, 9, 18) Common Factors of 12 and 18: 1, 2, 3, 6 common factor 12 (1, 2, 3, 4, 6, 12) 18 (1, 2, 3, 6, 9, 18) Common Factors of 12 and 18: 1, 2, 3, 6 Any common factor of two or more numbers.

29 common multiple common multiple 4, 8, 12, 16, 20, 24, 28, 32, 36 6, 12, 18, 24, 30, 36, 42 Common Multiples of 4 and 6: 12, 24, 36 common multiple 4, 8, 12, 16, 20, 24, 28, 32, 36 6, 12, 18, 24, 30, 36, 42 Common Multiples of 4 and 6: 12, 24, 36 Any common multiple of two or more numbers.

30 Commutative Property Commutative of Addition Property = of Addition Commutative Property of Addition = The sum stays the same when the order of the addends is changed. a + b = b + a, where a and b are any real numbers.

31 Commutative Property of Multiplication Commutative Property of 4 7 = 7 4 Multiplication Commutative Property of Multiplication 4 7 = 7 4 The product stays the same when the order of the factors is changed. a b = b a, where a and b are any real numbers.

32 compatible numbers compatible numbers = 80 4 = compatible numbers = 80 4 = Pairs of numbers that are easy to compute mentally.

33 compose compose compose To put together, as in numbers or shapes.

34 composite figure composite figure composite figure A shape made up of two or more simpler figures, such as triangles and quadrilaterals.

35 congruent congruent congruent Having eactly the same size and shape.

36 constant constant constant constant constant A number with a value that is always the same.

37 constant speed constant speed constant speed Movement at a fied (constant) distance per unit of time.

38 conversion factor conversion 8 yards = inches factor 36in. 8 yds. = 1yd. 8 yds. 36in. = 288 in. 1 1 yd. conversion factor 8 yards = inches 36in. 8 yds. 36in. 8 yds. = = 288 in. 1yd. 1 1 yd. A type of rate in which two quantities use different units but remain equal; used to convert a measurement from one unit to another.

39 coordinate grid coordinate grid coordinate grid A two-dimensional system in which the coordinates of a point are its distances from two intersecting, usually perpendicular, straight lines called aes. (also known as coordinate plane or coordinate system)

40 coordinate pair coordinate pair (-5, 2) (, y) coordinate pair (-5, 2) (, y) A pair of numbers that gives the coordinates of a point on a grid in this order: (horizontal coordinate, vertical coordinate). (also known as an ordered pair)

41 coordinate plane coordinate plane coordinate plane A two-dimensional system in which the coordinates of a point are its distances from two intersecting, usually perpendicular, straight lines called aes. (also known as coordinate grid or coordinate system)

42 coordinate system coordinate system coordinate system A two-dimensional system in which the coordinates of a point are its distances from two intersecting, usually perpendicular, straight lines called aes. (also known as a coordinate grid or coordinate plane)

43 coordinates coordinates (3, -5) (, y) coordinates (3, -5) (, y) An ordered pair of numbers that identify a point on a coordinate plane.

44 cube cube cube A rectangular solid having 6 congruent square faces.

45 cubic unit cubic unit 1 unit 1 unit 1 unit cubic unit 1 unit A unit such as a cubic meter to measure volume or capacity. 1 unit 1 unit

46 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.

48 decimal decimal \$ decimal \$ A number with one or more digits to the right of a decimal point. Decimal is used as another name for decimal fraction.

49 decimal fraction decimal fraction 0.38 = decimal fraction 0.38 = A fractional number with a denominator of 10 or a power of 10. It can be written with a decimal point.

50 decompose decompose = decompose = To separate into components or basic elements.

51 denominator denominator 3 5 denominator denominator 3 5 denominator The number or epression written below the line in a fraction.

52 dependent variable dependent variable # Bikes Wheels dependent variable dependent variable # Bikes Wheels dependent variable In a function, a variable whose value is determined by the value of the related independent variable.

53 diagonal diagonal diagonal A line that goes through vertices of a polygon that are not net to each other.

54 difference difference = difference difference = difference The amount that remains after one quantity is subtracted from another.

55 distribution distribution Age of People Attending a Movie Age Ranges Tally Frequency 0-9 I I I I I I I I I I I I I I I I I I I I II 2 distribution Age of People Attending a Movie Age Ranges Tally Frequency 0-9 I I I I I I I I I I I I I I I I I I I I II 2 A table that shows how many of each type of data.

56 Distributive Property Distributive Property 5(6 + 8) = (5 6) + (5 8) Distributive Property 5(6 + 8) = (5 6) + (5 8) a (b + c) = (a b) + (a c) and a (b - c) = (a b) -(a c), where a, b, and c stand for any real numbers.

57 dividend dividend dividend dividend dividend A quantity to be divided.

58 divisible divisible 8 is divisible by 2 because there is no remainder. 8 2 = 4 divisible 8 is divisible by 2 because there is no remainder. 8 2 = 4 A number is divisible by another number if the quotient is a counting number without a remainder.

59 Division Property of Equality Division Property of Equality 3 7 = = = 7 7 = 7 Division Property of Equality 3 7 = = = 7 7 = 7 If you divide both sides of an equation by the same nonzero number, the two sides will remain equal.

60 divisor divisor divisor divisor divisor The quantity by which another quantity is to be divided.

61 dot plot dot plot dot plot A diagram showing frequency of data on a number line. (also known as a line plot) Number of Pets Number of Pets

62 double number line diagram Miles double number line diagram Minutes Miles double number line diagram Minutes A graphic diagram that shows a proportional relationship between two quantities.

63 edge edge edges edge edges The place where two flat surfaces of a solid figure meet.

64 equation equation 9 3 = equation 9 3 = A statement that two mathematical epressions are equal.

65 equiangular triangle equiangular triangle equiangular triangle A triangle with all equal angles (60º).

66 equilateral triangle equilateral triangle equilateral triangle A triangle with all sides the same length.

67 equivalent equivalent = equivalent = Naming the same number.

68 equivalent epressions equivalent epressions n + 4 = 4 + n = = 9 equivalent epressions n + 4 = 4 + n = = 9 Epressions which are equal to each other for any values of their variables. They can be generated by properties of operations.

69 equivalent fractions equivalent fractions equivalent fractions Fractions that have the same value.

70 equivalent ratios equivalent ratios 6 2 = 12 4 Both ratios simplify to 1 2. equivalent ratios 6 2 = 12 4 Both ratios simplify to 1 2. Two ratios that have the same value when simplified.

71 evaluate evaluate = n n = 29 evaluate = n n = 29 To find the value of a mathematical epression.

72 eponent eponent 5 2 eponent eponent 5 2 eponent The number that tells how many equal factors there are. In 5 2, 5 is the base and 2 is the eponent. 5 is raised to the power of 2. (5 2 = 5 5 = 25)

73 epression epression epression A variable or combination of variables, numbers, and symbols that represents a mathematical relationship.

74 face face faces face faces A flat surface on a solid figure.

75 factor factor 2 6 = 12 factors factor 2 6 = 12 factors An integer that divides evenly into another.

76 first quartile first Q1 quartile first quartile Q1 The first quartile is the middle (the median) of the lower half of the data on a bo plot. One-fourth of the data lies below the first quartile and three-fourths lies above. (also known as Q1 or lower quartile)

77 formula formula formula Volume of a cube is V = s 3. Volume of a cube is V = s 3. A general mathematical rule that is written as an equation.

78 fraction fraction Measurement Set Area Model Model Model Bar Diagram (thickened number line) What is 3 4? fraction Measurement Set Area Model Model Model Bar Diagram (thickened number line) What is 3 4? A way of representing part of a whole or part of a group by telling the number of equal parts in the whole and the number of parts you are describing.

79 fraction bar fraction bar fraction bar A horizontal bar that separates the numerator and the denominator.

80 fraction greater than one fraction greater than one 5 3 numerator is greater than denominator fraction greater than one 5 3 numerator is greater than denominator A fraction with a numerator greater than its denominator.

81 fraction less than one fraction less than one 3 5 numerator is less than denominator fraction less than one 3 5 numerator is less than denominator A fraction with a numerator less than its denominator.

82 frequency table frequency table frequency table Score Tally Frequency 1 l 1 2 l 1 3 lll 3 4 l 1 5 llll 4 6 llll 5 7 llll l 6 8 llll 5 9 lll 3 10 l 1 Score Tally Frequency 1 l 1 2 l 1 3 lll 3 4 l 1 5 llll 4 6 llll 5 7 llll l 6 8 llll 5 9 lll 3 10 l 1 A table which shows the number of times each data value or range of values occurs.

83 gallon (gal) gallon (gal) gallon (gal) A customary unit of capacity. 1 gallon = 4 quarts

84 gap Hours Watching TV in One Week gap gap gap Hours Watching TV in One Week gap A place on a graph where no data values are present.

85 gram (g) gram (g) The mass of a paperclip is about 1 gram. gram (g) The mass of a paperclip is about 1 gram. The standard unit of mass in the metric system. 1,000 grams = 1 kilogram

86 greater than greater than 5 5 > 3 3 greater than 5 5 > 3 3 Greater than is used to compare two numbers when the first number is larger than the second number.

87 greater than or equal to greater than or equal to a b a is greater than or equal to b greater than or equal to a b a is greater than or equal to b Greater than or equal to is used to compare two quantities in an inequality where the first quantity is larger than or equal to the second quantity.

88 greatest common factor greatest common factor 12 (1, 2, 3, 4, 6, 12) 18 (1, 2, 3, 6, 9, 18) GCF = 6 greatest common factor 12 (1, 2, 3, 4, 6, 12) 18 (1, 2, 3, 6, 9, 18) GCF = 6 The largest factor of two or more numbers.

89 height altitude or height height base height altitude or height The perpendicular distance from a verte to the opposite side of a plane figure. base

90 Number of People Number of People histogram Ages of People Attending a Movie 8 histogram Age Ages of People Attending a Movie histogram A bar graph in which the labels for the bars are numerical intervals Age

91 independent variable independent independent variable # Bikes Wheels variable independent variable independent variable # Bikes Wheels A variable in a mathematical equation whose value determines that of a dependent variable.

92 inequality inequality < 20 2 inequality < 20 2 A mathematical sentence that compares two unequal epressions using one of the symbols <, >,,, or.

93 infinite infinite infinite Having no boundaries or limits.

94 integers integers START integers START The set of whole numbers and their opposites.

95 interquartile range interquartile interquartile range range interquartile range interquartile range The difference between the upper quartile and the lower quartile.

96 Number of People Number of People interval Ages of People Attending a Movie 8 interval interval Age Ages of People Attending a Movie interval The range of values represented by each bar. The data is divided into equal increments. interval Age

97 inverse operations inverse operations d + 8 = 31 d = 31 8 d + 0 = 23 d = 23 inverse operations d + 8 = 31 d = 31 8 d + 0 = 23 d = 23 Operations that undo each other.

98 is not equal to is not equal to is not equal to A symbol used to compare two quantities in an inequality where the two quantities do not equal each other.

99 isoscles triangle isosceles triangle isosceles triangle A triangle that has eactly 2 equal sides.

100 lateral area lateral 4 in. A = 1 2 bh 6 in. A = 1 (6) (4) 2 A = 12 in. 2 area 4 lateral faces: L = 4 12 = 48 in. 2 lateral area 4 in. 6 in. A = 1 2 bh A = 1 (6) (4) 2 A = 12 in. 2 4 lateral faces: L = 4 12 = 48 in. 2 The sum of the lateral faces of a solid figure.

101 lateral face lateral face lateral face lateral face lateral face The face of a prism or pyramid that is not a base.

102 least common multiple least common multiple 6, 12, 18, 24, 30, 36, 42 8, 16, 24, 32, 40, 48, 56 LCM = 24 least common multiple 6, 12, 18, 24, 30, 36, 42 8, 16, 24, 32, 40, 48, 56 LCM = 24 The smallest common multiple of a set of two or more numbers.

103 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.

104 length (l) length (l) length length length (l) One dimension of a two- or threedimensional figure. length length

105 less than less than 3 3 < 5 5 less than < 5 Less than is used to compare two numbers when the first number is smaller than the second number.

106 less than or equal to less than or equal to a b a is less than or equal to b less than or equal to a b a is less than or equal to b Less than or equal to is used to compare two quantities in an inequality where the first quantity is smaller than or equal to the second quantity.

107 like terms like terms 2 + 4y + 7 like terms like terms 2 + 4y + 7 like terms Terms that have the same variables and the same eponents.

108 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.

109 line plot line plot line plot A diagram showing frequency of data on a number line. (also known as a dot plot) Number of Pets Number of Pets

110 line symmetry line symmetry line symmetry What a figure has if it can be folded in half and its two parts match eactly.

111 linear equation linear equation y = + 3 y linear equation y = + 3 y An equation whose solutions form a straight line on a coordinate plane.

112 liter (L) large bottle of soda or bottle of water liter (L) 1,000 ml = 1 L liter (L) large bottle of soda or bottle of water The basic unit of capacity in the metric system. 1 liter = 1,000 milliliters 1,000 ml = 1 L

113 lower etreme lower lower etreme etreme lower etreme lower etreme The smallest or least number out of a data set, usually farther away from interquartile range than other data in set. (also known as minimum)

114 lower quartile lower Q1 quartile lower quartile Q1 The lower quartile is the middle (the median) of the lower half of the data on a bo plot. One-fourth of the data lies below the first quartile and three-fourths lies above. (also known as Q1 or first quartile)

115

116

### Vocabulary Cards and Word Walls Revised: June 29, 2011

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,

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

### Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

### Quick Reference ebook

This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

### Voyager Sopris Learning Vmath, Levels C-I, correlated to the South Carolina College- and Career-Ready Standards for Mathematics, Grades 2-8

Page 1 of 35 VMath, Level C Grade 2 Mathematical Process Standards 1. Make sense of problems and persevere in solving them. Module 3: Lesson 4: 156-159 Module 4: Lesson 7: 220-223 2. Reason both contextually

### Grade 6 Mathematics Performance Level Descriptors

Limited Grade 6 Mathematics Performance Level Descriptors A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Grade 6 Mathematics. A student at this

### Mathematics Scope and Sequence, K-8

Standard 1: Number and Operation Goal 1.1: Understands and uses numbers (number sense) Mathematics Scope and Sequence, K-8 Grade Counting Read, Write, Order, Compare Place Value Money Number Theory K Count

### Illinois State Standards Alignments Grades Three through Eleven

Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other

### Number Sense and Operations

Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

### Math 5th grade. Create your own number and explain how to use expanded form to show place value to the ten millions place.

Number Properties and Operations Whole number sense and addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop

### Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration

CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting

### numerical place value additional topics rounding off numbers power of numbers negative numbers addition with materials fundamentals

Math Scope & Sequence fundamentals number sense and numeration of the decimal system Count to 10 by units Associate number to numeral (1-10) KN 1 KN 1 KN 2 KN 2 Identify odd and even numbers/numerals and

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

### Everyday Mathematics GOALS

Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the

### Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

### Common Core Unit Summary Grades 6 to 8

Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations

### CCSS Mathematics Implementation Guide Grade 5 2012 2013. First Nine Weeks

First Nine Weeks s The value of a digit is based on its place value. What changes the value of a digit? 5.NBT.1 RECOGNIZE that in a multi-digit number, a digit in one place represents 10 times as much

### How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

The verbal answers to all of the following questions should be memorized before completion of pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics

### EVERY DAY COUNTS CALENDAR MATH 2005 correlated to

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:

### COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS

COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS Compiled by Dewey Gottlieb, Hawaii Department of Education June 2010 Operations and Algebraic Thinking Represent and solve problems involving

### MATHS LEVEL DESCRIPTORS

MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and

### Grade 5 Math Content 1

Grade 5 Math Content 1 Number and Operations: Whole Numbers Multiplication and Division In Grade 5, students consolidate their understanding of the computational strategies they use for multiplication.

### Mathematics. Mathematical Practices

Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with

### Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

### Geometry and Measurement

The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for

### K-5 Definitions of Math Terms

TERM acute angle acute triangle addend addition adjacent angle algebraic expression algebraic form/notation algorithm analog clock angle angle measure DEFINITION An angle with measure between zero degrees

### NEW MEXICO Grade 6 MATHEMATICS STANDARDS

PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical

### Indicator 2: Use a variety of algebraic concepts and methods to solve equations and inequalities.

3 rd Grade Math Learning Targets Algebra: Indicator 1: Use procedures to transform algebraic expressions. 3.A.1.1. Students are able to explain the relationship between repeated addition and multiplication.

### NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5

NCTM Curriculum Focal Points and, Grade 5 NCTM Curriculum Focal Points for Grade 5 Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers Students

### Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used

### Expression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds

Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative

### ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers Basic Math 1.2 - The Number Line Basic Math 1.3 - Addition of Whole Numbers, Part I

ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers 1) Read whole numbers. 2) Write whole numbers in words. 3) Change whole numbers stated in words into decimal numeral form. 4) Write numerals in

### Primary Curriculum 2014

Primary Curriculum 2014 Suggested Key Objectives for Mathematics at Key Stages 1 and 2 Year 1 Maths Key Objectives Taken from the National Curriculum 1 Count to and across 100, forwards and backwards,

### Grade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills

Grade 6 Mathematics Assessment Eligible Texas Essential Knowledge and Skills STAAR Grade 6 Mathematics Assessment Mathematical Process Standards These student expectations will not be listed under a separate

### MEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.

MEASUREMENTS A measurement includes a number and a unit. 3 feet 7 minutes 12 gallons Standard units of measurement have been established to simplify trade and commerce. TIME Equivalences between units

### In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.

MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target

### Algebra I Vocabulary Cards

Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression

### Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting

Grade 5 Math Pacing Guide Page 1 of 9 Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008 Test Preparation Timeline Recommendation: September - November Chapters 1-5 December

### ISAT Mathematics Performance Definitions Grade 4

ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers

### Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. Solve word problems that call for addition of three whole numbers

### Such As Statements, Kindergarten Grade 8

Such As Statements, Kindergarten Grade 8 This document contains the such as statements that were included in the review committees final recommendations for revisions to the mathematics Texas Essential

### The symbols indicate where the topic is first introduced or specifically addressed.

ingapore Math Inc. cope and equence U: U.. Edition : ommon ore Edition : tandards Edition : ommon ore tandards 1 2 3 4 5 Reviews in ommon ore Edition cover just the unit whereas those in U.. and tandards

### Grade 6 Mathematics Common Core State Standards

Grade 6 Mathematics Common Core State Standards Standards for Mathematical Practice HOW make sense of problems, persevere in solving them, and check the reasonableness of answers. reason with and flexibly

Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express

### Manitoba Curriculum. Alignment with Mathletics. Supported by independent evidence-based research and practice. Powerful reporting.

Supported by independent evidence-based research practice. Follows provincial curricula Powerful reporting Student centred Content Kindergarten Grade 1 Grade 2 02 04 08 Grade 10 Applied & Pre-Calculus

### Grade 5 Common Core State Standard

2.1.5.B.1 Apply place value concepts to show an understanding of operations and rounding as they pertain to whole numbers and decimals. M05.A-T.1.1.1 Demonstrate an understanding that 5.NBT.1 Recognize

### McDougal Littell California:

McDougal Littell California: Pre-Algebra Algebra 1 correlated to the California Math Content s Grades 7 8 McDougal Littell California Pre-Algebra Components: Pupil Edition (PE), Teacher s Edition (TE),

### Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

A Correlation of Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 to the Topics & Lessons of Pearson A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates

A Correlation of to the Minnesota Academic Standards Grades K-6 G/M-204 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley

### Measurement with Ratios

Grade 6 Mathematics, Quarter 2, Unit 2.1 Measurement with Ratios Overview Number of instructional days: 15 (1 day = 45 minutes) Content to be learned Use ratio reasoning to solve real-world and mathematical

### Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3

Ma Data Hling: Interpreting Processing representing Ma Shape, space measures: position shape Written Mental method s Operations relationship s between them Fractio ns Number s the Ma1 Using Str Levels

### Math - 5th Grade. two digit by one digit multiplication fact families subtraction with regrouping

Number and Operations Understand division of whole numbers N.MR.05.01 N.MR.05.02 N.MR.05.03 Understand the meaning of division of whole numbers with and without remainders; relate division to and to repeated

### 1) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-1) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = 7) (5)(-4) = 8) (-3)(-6) = 9) (-1)(2) =

Extra Practice for Lesson Add or subtract. ) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = Multiply. 7) (5)(-4) = 8) (-3)(-6) = 9) (-)(2) = Division is

### Common Core State Standards for Mathematics Accelerated 7th Grade

A Correlation of 2013 To the to the Introduction This document demonstrates how Mathematics Accelerated Grade 7, 2013, meets the. Correlation references are to the pages within the Student Edition. Meeting

### Assessment Anchors and Eligible Content

M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings

### 1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

NCTM STANDARD 1: Numbers and Operations Kindergarten Grade 2 1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Kindergarten Grade One Grade Two 1. Count

### Math. MCC6.RP.1 Understand the concept of a ratio and use

MCC6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, The ratio of wings to beaks in the bird house at the zoo was 2:1,

### TEKS TAKS 2010 STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM

7 th Grade Math TAKS-STAAR-STAAR-M Comparison Spacing has been deleted and graphics minimized to fit table. (1) Number, operation, and quantitative reasoning. The student represents and uses numbers in

### Republic of the Philippines Department of Education DepEd Complex, Meralco Avenue Pasig City. K to 12 Curriculum Guide MATHEMATICS

Republic of the Philippines Department of Education DepEd Complex, Meralco Avenue Pasig City K to 12 Curriculum Guide MATHEMATICS (Grade 1 to Grade 10) January 31, 2012 CONCEPTUAL FRAMEWORK Mathematics

### Performance Level Descriptors Grade 6 Mathematics

Performance Level Descriptors Grade 6 Mathematics Multiplying and Dividing with Fractions 6.NS.1-2 Grade 6 Math : Sub-Claim A The student solves problems involving the Major Content for grade/course with

Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

### Fourth Grade Math Standards and "I Can Statements"

Fourth Grade Math Standards and "I Can Statements" Standard - CC.4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and

### MATHCOUNTS TOOLBOX Facts, Formulas and Tricks

MATHCOUNTS TOOLBOX Facts, Formulas and Tricks MATHCOUNTS Coaching Kit 40 I. PRIME NUMBERS from 1 through 100 (1 is not prime!) 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 II.

### CCSS-M Critical Areas: Kindergarten

CCSS-M Critical Areas: Kindergarten Critical Area 1: Represent and compare whole numbers Students use numbers, including written numerals, to represent quantities and to solve quantitative problems, such

### Chapter 111. Texas Essential Knowledge and Skills for Mathematics. Subchapter B. Middle School

Middle School 111.B. Chapter 111. Texas Essential Knowledge and Skills for Mathematics Subchapter B. Middle School Statutory Authority: The provisions of this Subchapter B issued under the Texas Education

### Mathematics K 6 continuum of key ideas

Mathematics K 6 continuum of key ideas Number and Algebra Count forwards to 30 from a given number Count backwards from a given number in the range 0 to 20 Compare, order, read and represent to at least

### Exercise Worksheets. Copyright. 2002 Susan D. Phillips

Exercise Worksheets Copyright 00 Susan D. Phillips Contents WHOLE NUMBERS. Adding. Subtracting. Multiplying. Dividing. Order of Operations FRACTIONS. Mixed Numbers. Prime Factorization. Least Common Multiple.

### SCOPE & SEQUENCE. Kindergarten, First Grade, and Second Grade. Skills and Activities

SCOPE & SEQUENCE Kindergarten, First Grade, and Second Grade Skills and Activities INNOVATIVE LEARNING CONCEPTS INC. creators of TOUCHMATH TouchMath materials were first published in 1975. Innovative Learning

### Numeracy Targets. I can count at least 20 objects

Targets 1c I can read numbers up to 10 I can count up to 10 objects I can say the number names in order up to 20 I can write at least 4 numbers up to 10. When someone gives me a small number of objects

### Pre-Algebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems

Academic Content Standards Grade Eight Ohio Pre-Algebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small

### Arizona s College and Career Ready Standards Mathematics

Arizona s College and Career Ready Mathematics Mathematical Practices Explanations and Examples Third Grade ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS State Board Approved June

### BPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K-5) 1

Grade 4 Key Areas of Focus for Grades 3-5: Multiplication and division of whole numbers and fractions-concepts, skills and problem solving Expected Fluency: Add and subtract within 1,000,000 Module M1:

### Polynomial Degree and Finite Differences

CONDENSED LESSON 7.1 Polynomial Degree and Finite Differences In this lesson you will learn the terminology associated with polynomials use the finite differences method to determine the degree of a polynomial

### a. Look under the menu item Introduction to see how the standards are organized by Standards, Clusters and Domains.

Chapter One Section 1.1 1. Go to the Common Core State Standards website (http://www.corestandards.org/math). This is the main site for further questions about the Common Core Standards for Mathematics.

### 10.1. Solving Quadratic Equations. Investigation: Rocket Science CONDENSED

CONDENSED L E S S O N 10.1 Solving Quadratic Equations In this lesson you will look at quadratic functions that model projectile motion use tables and graphs to approimate solutions to quadratic equations

### LESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines,

Saxon Math 7/6 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

### Area of Parallelograms, Triangles, and Trapezoids (pages 314 318)

Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base

Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

### Vocabulary Words and Definitions for Algebra

Name: Period: Vocabulary Words and s for Algebra Absolute Value Additive Inverse Algebraic Expression Ascending Order Associative Property Axis of Symmetry Base Binomial Coefficient Combine Like Terms

### 1 BPS Math Year at a Glance (Adapted from A Story of Units Curriculum Maps in Mathematics P-5)

Grade 5 Key Areas of Focus for Grades 3-5: Multiplication and division of whole numbers and fractions-concepts, skills and problem solving Expected Fluency: Multi-digit multiplication Module M1: Whole

### 1. Mathematics Content/Alignment with the Standards Correlation to California Algebra Readiness Standards

PROGRAM DESCRIPTION The goal of Prentice Hall Connecting to Algebra is to fully prepare students for success in Algebra 1 by thoroughly covering the Algebra Readiness standards outlined by the California

### The Australian Curriculum Mathematics

The Australian Curriculum Mathematics Mathematics ACARA The Australian Curriculum Number Algebra Number place value Fractions decimals Real numbers Foundation Year Year 1 Year 2 Year 3 Year 4 Year 5 Year

### FOREWORD. Executive Secretary

FOREWORD The Botswana Examinations Council is pleased to authorise the publication of the revised assessment procedures for the Junior Certificate Examination programme. According to the Revised National

### CRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide

Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are

### Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress

Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation

### ACT Math Vocabulary. Altitude The height of a triangle that makes a 90-degree angle with the base of the triangle. Altitude

ACT Math Vocabular Acute When referring to an angle acute means less than 90 degrees. When referring to a triangle, acute means that all angles are less than 90 degrees. For eample: Altitude The height

### Higher Education Math Placement

Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication

### Area of Parallelograms (pages 546 549)

A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular

### Math Review. for the Quantitative Reasoning Measure of the GRE revised General Test

Math Review for the Quantitative Reasoning Measure of the GRE revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important

Introduction: Summary of Goals GRADE SEVEN By the end of grade seven, students are adept at manipulating numbers and equations and understand the general principles at work. Students understand and use

### Prentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6)

PO 1. Express fractions as ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). Strand 1: Number Sense and Operations Every student should understand and use all concepts and

### Quarter One: August-October

Quarter One: August-October (Chapters 1 3, 5-6, 10) August - December Quarterly Addition facts with sums through 20 General Math Content 1. Write sums through 20. 1. Choose and enter the appropriate answer.

### Current Standard: Mathematical Concepts and Applications Shape, Space, and Measurement- Primary

Shape, Space, and Measurement- Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two- and three-dimensional shapes by demonstrating an understanding of:

### PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION ELEMENTARY MATH GRADE 2 MATH IN FOCUS

PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION ELEMENTARY MATH GRADE 2 MATH IN FOCUS Length of Course: Term Elective / Required: Required Schools: Elementary Student Eligibility:

### Converting Units of Measure Measurement

Converting Units of Measure Measurement Outcome (lesson objective) Given a unit of measurement, students will be able to convert it to other units of measurement and will be able to use it to solve contextual

### Review of Intermediate Algebra Content

Review of Intermediate Algebra Content Table of Contents Page Factoring GCF and Trinomials of the Form + b + c... Factoring Trinomials of the Form a + b + c... Factoring Perfect Square Trinomials... 6

### Graphing and Solving Nonlinear Inequalities

APPENDIX LESSON 1 Graphing and Solving Nonlinear Inequalities New Concepts A quadratic inequality in two variables can be written in four different forms y < a + b + c y a + b + c y > a + b + c y a + b