1. 2003 MATHEMATICS NCSCOS Grade 5 Indicators
Math Vocabulary by Goal
2003 MATHEMATICS NCSCOS Grade 5 Indicators

2. Goal 1 The learner will understand and compute
with nonnegative rational numbers.

3. A real number that can be written as the ratio of two integers (positive or negative whole number, fraction, or decimal)
Rational Number

4. Expanded notation form
Picture Form
Forms of Numbers
1,111
Three hundred twenty-six
326
Word Form
Standard form

5. The position of a single digit in a whole number or decimal number containing one or more digits.
145,
ten- thousands
hundreds
ones
hundredths
Hundred- thousands
thousands
tens
tenths
thousandths
Place Value

6. Arranged from smallest to largest
Ascending Order

7. Arranged from largest to smallest
Descending Order

8. An answer close to the exact answer. Usually found by rounding.
366
370
400
Approximately/About

9. Numbers that divide exactly into another number.
12 – 1,2,3,4,6,12
36 – 1,2,3,4,6,9,12,18,36
48 – 1,2,3,4,6,8,12,16,24,48
Factors

10. Number that results from multiplying a given number by a set of whole numbers.
4 – 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
6 – 6, 12, 18, 24, 36, 42, 48, 54
8 – 8,16, 24, 32, 40, 48, 56
Multiples

11. Having the same amount or value; the state of being equal.
Equivalence

12. Less Than/Greater Than
Symbol used to compare relationships of inequalities.
Symbol used to compare numbers
Symbol used to compare numbers
Less Than/Greater Than

13. Symbols used to determine relationships of equalities.
equal to
.5 = .50
.30 = .300
.5 =.05
.3 = .003
? < .5
? =.1,.2,.3,.4,or .5
not equal to
less than or equal to
Equal to/not equal to

14. Equal parts of a whole or group written with a numerator and a denominator.
Fraction

15. 3 4 Fractions 7 1 3 2 Numerator: number of each part
Denominator: number of parts
Fractions 7 3 1 2
Whole number
fraction
Improper fraction
mixed number

16. Fractions that are the same or equal
1/ = /6
Equivalent Fractions

17. Numbers written in standard form to show a value less than 1..1
.01
.001
one-tenth
one-hundredth
one-thousandth
Decimal

18. Problem Solving Strategies

19. Problem Solving Method
Look Back Justify, prove, evaluate or explain the reasonableness of your answer.

20. Using a table/chart X X X

21. Guess and Check
Prince Carl divided 15 stone games into two piles: games he owns and games his brother owns. He owns 3 more games than his brother. How many games does his brother own?
Answer: Prince Carl – 9 Brother - 6

22. Make a diagram/ picture
Question: Laura has 3 green chips,
4 blue chips and
1 red chip in her bag.
What fractional part
of the bag of chips is green?

23. Make an organized list
Question: Jill, Makayla and Tanya don’t want to ride the Ferris-wheel alone. How many ways can they ride if the ride will only fit two at a time?
Jill/Makayla
Jill/Tanya
Makayla/Tanya
3 ways
Organized list
Answer \

24. Work Backwards
The castle kitchen waiters brought in 4 pies left over from the feast. Twelve pies were eaten at the feast. Queen Mab took 2 home with her. How many pies did the waiters bring into the feast at the beginning?
= = 18

25. Using a calculator Calculator Riddles From DPI

26. Using objects, models, representations

27. Information in a problem that does NOT help you solve the problem.
The peasants had to dig a trench 3 feet side to side and 10 times as long. It took them 4 days to dig it. There were 7 of them digging. How long was the trench?
Extra Information

28. Putting numbers together to make them easier to work with
= ?
= 40
Compose

29. Breaking a number apart to make it easier to work with.
30 X 14
(30 X 10) + (30 X 4)
= 420
Decompose

30. Mathematical sentence where the left side of the equals sign has the same value as the right side.
Equation

31. Goal 2 The learner will recognize and use
standard units of metric and customary
measurement.

32. Units of capacity in the metric system.
1000 ml = 1 L
1 L
1 ml
liter

33. Units of capacity in the customary system.G Q PP cc
2 c = 1 pt
2 pt = 1 qt
4 qt = 1 gal
Units of capacity in the customary system.
cup, pint, quart, gallon

34. Benchmark/landmark cm < in m > yd km <mi kg > lb L > qt
Benchmark Comparisons for
Metric and Customary Measurements
Metric Units
Customary Units
2.54 cm (about 2.5)
1 in
0.9 m (about 1)
1 yd
1.6 km (about 1.5)
1 mi
.45 kg (about .5)
1 lb
.95 L (about 1)
1 qt
Greater Than/
Less Than
cm < in
m > yd
km <mi
kg > lb
L > qt

35. centimeter, meter, kilometer
Units of length, width and distance in the metric system.
100cm = 1m
1000 m = 1 km
centimeter, meter, kilometer

36. Inches, Feet, Yards, Miles
Units of length, width and distance in the customary system.
12in = 1 ft
3 ft = 1 yd
5280 ft = 1 mi
Inches, Feet, Yards, Miles

37. Benchmark/landmark cm < in m > yd km <mi kg > lb L >qt
Benchmark Comparisons for
Metric and Customary Measurements
Metric Units
Customary Units
2.54 cm (about 2.5)
1 in
0.9 m (about 1)
1 yd
1.6 km (about 1.5)
1 mi
.45 kg (about .5)
1 lb
.95 L (about 1)
1 qt
Greater Than/
Less Than
cm < in
m > yd
km <mi
kg > lb
L >qt

38. Units of weight (or mass) in the metric system.
1000g = 1kg
gram and kilogram

39. Units of weight (or mass) in the customary system.
16 oz = 1lb
2000 lbs = 1 ton
ounce, pound, and ton

40. Benchmark/landmark cm < in m > yd km <mi kg > lb L >qt
Benchmark Comparisons for
Metric and Customary Measurements
Metric Units
Customary Units
2.54 cm (about 2.5)
1 in
0.9 m (about 1)
1 yd
1.6 km (about 1.5)
1 mi
.45 kg (about .5)
1 lb
.95 L (about 1)
1 qt
Greater Than/
Less Than
cm < in
m > yd
km <mi
kg > lb
L >qt

41. Tool used to measure angles
Protractor

42. Two segments that meet to form a 90 degree angle.
Right Angle

43. An angle with a measure of more than 90 degrees, but less than 180 degrees.
1100
350
Obtuse Angle

44. An angle less than 90 degrees
600
Acute Angle

45. Two angles that share a common side
130 50
Adjacent Angles

46. Symbol used to identify an angle=
ABC C B
Angle Notation

47. Two adjacent angles whose sum is 180 degrees
130 50
Supplementary Angles

48. Two adjacent angles whose sum is 90 degrees45
Complementary Angles

49. Angles that have the same measure.45
Congruent Angles

50. Goal 3 The learner will understand and use
properties and relationships of plane
figures.

51. Congruent Sides When sides of a shape are equal in length
These markings indicate congruent sides.
Congruent Sides

52. All three sides of this triangle are congruent.
4 in
Equilateral Triangle

53. This triangle has two congruent sides.
4 in
3 in
Isosceles Triangle

54. This triangle has no congruent sides
5 in
4 in
3 in
Scalene Triangle

55. A polygon for which all sides are congruent and all angles are congruent.
Regular Polygon

56. A polygon for which all sides and all angles are not congruent.
Irregular Polygon

57. Quadrilateral Any four sided figure

58. A line with two endpointsB
Midpoint
Line Segment

59. A line with one endpoint
Ray

60. The point at which two rays meet.
Vertex

61. Two rays that meet at a vertex
Angle

62. Sides or angles immediately next to each other.
Adjacent

63. To divide into two equal sections; to cut in half.
Bisect

64. Two lines that will never touch or intersect because they are the same distance apart.
Parallel Lines

65. Lines that intersect at right angles to each other.
Perpendicular Lines

66. Making an estimate or best guess by appearance or with little evidence.
Is this a right triangle?
How do you know?
What is your evidence? Can you tell without measuring?
Conjecture

67. A line joining two non-adjacent vertices of a polygon.
Diagonal

68. Four sided figure; all sides equal; opposite sides parallel; all right angles
Sum of interior angles - 360º
2 intersecting, bisecting, perpendicular diagonals
Square

69. Four sided figure; opposite sides equal lengths and parallel; all right angles
Rectangle

70. Sum of interior angles - 360º 2 intersecting diagonals.
Four sided figure; opposite sides equal lengths and parallel; all right angles
Sum of interior angles - 360º
2 intersecting diagonals.
Rectangle

71. Sum of interior angles - 360º 2 intersecting, perpendicular diagonals
A four-sided figure in which the two pairs of adjacent sides have the same length.
Sum of interior angles - 360º
2 intersecting, perpendicular diagonals
Kite

72. Parallelogram Hexagon Trapezoid Octagon Rhombus Pentagon
Four sided figure. Opposite sides equal lengths and parallel
An six sided figure
Four sided figure. Top and bottom sides parallel
Parallelogram
Hexagon
Trapezoid
Four sided figure. opposite sides equal lengths and parallel, opposite angles equal
An eight sided figure
An five sided figure
Octagon
Rhombus
Pentagon

73. Parallelogram Hexagon Trapezoid Octagon Rhombus Pentagon
9 diagonals/ sum of interior angles - 720º
2 intersecting diagonals/ sum of interior angles 360º
2 intersecting diagonals/ sum of interior angles 360º
Parallelogram
Hexagon
Trapezoid
5 diagonals/ Sum of interior angles - 540º
2 intersecting perpendicular diagonals/ sum of interior angles 360º
20 diagonals/ sum of interior angles º
Octagon
Rhombus
Pentagon

74. Number of diagonals in a polygon:
#of sides 4 5 6 7 8
# of diagonals 2 9 14 20
Sum of interior angles in a polygon:
#of sides 3 4 5 6 7 8
Sum of int. angles
180º
360º
540º
720º
900º
1080º

75. two types of trapezoids
Two right angles
No right angles
Two congruent sides
Right Trapezoid
Isosceles Trapezoid

76. A ten sided polygon
Decagon

77. When a straight line is drawn through a shape so that the two halves are congruent.
Line of symmetry
Symmetry

78. When an outline of a turning figure matches its original shape.
Rotational Symmetry

79. To turn an object, usually 90 degrees, 180 degrees, or 270 degrees.
Half turn degrees
Point of rotation
Quarter turn - 90 degrees
3 Quarter turn -270 degrees
Rotations

80. Clockwise Counter Clockwise
The same direction as the way hands on the clock go.
Clockwise
Counter Clockwise
The opposite direction of the way the hands on the clock go.

81. Goal 4
The learner will understand and use
graphs and data analysis.

82. Collection of information often organized on graphs or charts for analysis.
Data

83. The middle number in a set of data; must put numbers in order from least to greatest first.
93, 84, 97, 98, 100, 78, 86, 100, 85, 92
78, 84, 85, 86, 92, 93, 97, 98, 100, 100
= / 2 = 92.5
92.5
Median

84. The number that occurs most in a set of data.
56, 66, 68, 73, 44, 62, 73, 44, 89, 55, 41, 73
41, 44, 44, 55, 56, 62, 66, 68, 73, 73, 73, 89 73
Mode

85. Subtract the smallest number from the largest number in a set of data.
89,  73,  84,  91,  87,  77,  94
73, 77, 84, 87, 89, 91, 94
94 – 73 = 21 21
Range

86. A way to arrange data with the tens on the left and the ones listed on the right.1 2 3 4 5 6 7
3, 3, 7
2, 9, 9, 9
3, 9
1, 4, 6
5, 7, 7, 8
Stem and Leaf Plot

87. Coordinate Grid/ X-Y Chart
Used to find coordinates for ordered pairs for the X and Y axis.
Coordinate Grid/ X-Y Chart

88. The number of x’s indicates how many times each score occurred.
A horizontal number line on which each value of a set is denoted by an “x” over a value.
The number of x’s indicates how many times each score occurred.
Line Plot l

89. A graph that uses pictures to represent data.
Key
Pictograph

90. Shows change over time; will have months, days or other time words in the problem.
interval
label
title
scale
Line Graph

91. Is used to compare facts about groups and numbers that can be counted
labels
title
scale
Bar Graph

92. Compares parts to the whole; decimals and fractions may be used on this graph
key
title
labels
Circle Graph

93. The number of times an event occurs; may use tally marks to record
tallies
IIII IIII IIII
Frequency

94. Goal 5 The learner will demonstrate an
understanding of patterns, relationships,
and elementary algebraic representation.

95. A letter or symbol that represents a number in an algebraic expression.
Each side of the = symbol must balance
Variable

96. Contains at least one variable as well as other numbers and/or operations.10 16 20 5 20
100
Algebraic Expression l

97. A mathematical sentence where the left side equals the right side.
Equation

98. A chart that shows a consistent rate of change.
Function Machine
T-chart
Input/Output chart

99. The variable represents the number you are solving to find, termed as the…
X + 3 = 7
Unknown

100. An ordered set of numbers, shapes, or other mathematical objects, arranged according to a rule.
Pattern

101. Constant Change Varying Change Proportional Change Pattern Changes
2,4,6,8,10….
Varying Change
3,7,4,8,5,9,6,10,7…
Proportional Change
… 20 …

102. Patterns using numbers
Pattern Types
Geometric Pattern
Patterns using shapes
Numeric Pattern
4, 8,16,32,….
Patterns using numbers

103. Any number in the pattern can be found by finding the relationship or rule of the pattern.
3,6,9,12,15,18…… Nth term = 3n
10th term = 3(10) = 30
Nth Term

104. Symbols used to determine relationships of equalities.
equal to
.5 = .50
.30 = .300
.5 =.05
.3 = .003
? < .5
? =.1,.2,.3,.4,or .5
not equal to
less than or equal to
Equal to/not equal to

105. The quotient of two numbers used to compare two quantities.3 5
Red chips
Blue chips
Ratio

106. Resources Web resources are listed at the bottom of each slide.
Additional resources:
NCDPI Math Glossary
Houghton Mifflin Math