1. From 06-07 DPI 4th grade indicators
Math Vocabulary
From DPI 4th grade indicators

2. Goal 1

3. A real number that can be written as a positive or negative whole number, fraction, or decimal,
Rational Number

4. Expanded notation form
Picture Form
Forms of Numbers
Three hundred twenty-six
326
Written Form
Standard form

5. The position of a single digit in a whole number or decimal number containing one or more digits.
45,305.79
ten- thousands
hundreds
ones
hundredths
thousands
tens
tenths
Place Value

6. Blocks which show base 10 number values.
Base Ten Blocks

7. Blocks which show base 10 number values.
Hundred Board

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

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

10. An answer close to the exact answer
An answer close to the exact answer. Usually found by rounding to the nearest 10 or 100.
366
370
400
Approximately/About

11. A mathematical operation where a number is added to itself a number of times
Repeated Addition
factors
product
Multiply

12. 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

13. 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

14. A set of objects or numbers arranged in rows and columns.
array

15. Sharing or Grouping a number into equal parts.
quotient
Divide

16. Division Vocabulary Dividend Divisor Quotient The Number being divided
A number that will divide the dividend
The result of a division

17. Divisibility Rules

18. Remainder Amount left over after dividing a number Fair shares
** Dividing is Sharing Equally!**
Remainder

19. 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

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

21. 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

22. Fractions that are the same or equal
Equal Portions
1/ = /6
Equivalent Fractions

23. A fraction written as a decimal
Decimal Fraction

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

25. A line on which numbers, decimals and fractions can be compared and ordered..8
2.25
.08
.08 < is less than .8
2.25 > is greater than .8
Number Line

26. Problem Solving Strategies

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

28. Using a table/chart X X X

29. 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

30. 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?

31. 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 \

32. Work Backwards
The castle kitchen servants brought in 4 pies left over from the feast. 12 pies were eaten at the feast. Queen Mab took 2 home with her. How many pies did the servants bring into the feast at the beginning?
= = 18

33. Using a calculator

34. Using Objects, models, representations

35. 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

36. Goal 2

37. A peg-board on which elastic bands are used to make shapes and patterns.
Geo Board

38. Triangle A three sided polygon.

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

40. Quadrilateral Any four sided figure.

41. Four sided figure, all sides equal, opposite sides parallel, and all right angles.
Square

42. Four sided figure. opposite sides equal lengths and parallel, all right angles
Rectangle

43. 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

44. Decagon A ten sided polygon

45. A line with two endpointsB
Line Segment

46. A line with one endpoint
Ray

47. This triangle contains 3 vertices
The Point at which two rays meet.
This triangle contains 3 vertices
Vertex

48. Two rays that meet at a vertex
Angle

49. The measurement of the longest side of a figure.
Linear Measurements
Length
The measurement of the longest side of a figure.

50. The measurement of the shortest side of a figure.
Linear Measurements
Width
The measurement of the shortest side of a figure.

51. The measurement of all sides of a plane figure
3 in
4 in
The DIMENSIONS of this rectangle ar 4 inches long, and 3 inches wide.
To find the perimeter:
length + length+ width + width
4in + 4in + 3in + 3in= 12in
Hint:Plus all sides!
Perimeter

52. The measurement of square units needed to cover a figure.
3 in
4 in
Length X Width
3in X 4in = 12 square inches
Area

53. Square Units units used to measure area Length X Width
3 in
4 in
Length X Width
3in X 4in = 12 square inches
Each of these is a square unit.
Square Units

54. Goal 3

55. A pair of numbers that gives the coordinates of a point on a grid 3 2 1
(1,2)
Ordered Pair

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

57. Any quarter of a plane divided by an X and Y axis.
Quadrant

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

59. When lines cross over one another
Intersect

60. Two perpendicular lines which form a 90 degree angle.
Right Angle

61. Two lines, equal distance apart that will never touch or intersect; non-intersecting lines
Parallel Lines

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

63. Any 2-dimensional (flat) area
Plane

64. A change in position or size
Transformations

65. Reflection A mirror view Pre-image -image (before) (after) l

66. Move or shift an item in any direction without rotating it.
Also called a slide
Translation

67. To turn an object, usually 90 degrees or 180 degrees.
origin
Quarter turn- 90 degrees
Half turn- 180 degrees
Rotation

68. 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.

69. Goal 4

70. Used to collect and organize data
rows
columns
Table

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

72. Guess the rule for this Venn Diagram
A diagram using circles or other shapes to show the relationship between sets
Guess the rule for this Venn Diagram
Venn Diagram

73. 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

74. A graph that uses pictures to represent data.
title
Key
Pictograph

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

76. Fruit Sold at the Market
This graph is similar to a regular bar graph, but it gives 2 pieces of information for each item , rather than just 1.
title
Fruit Sold at the Market
Scale
labels
Double Bar Graph

77. A graph that shows change over time.
interval
label
title
scale
Line Graph

78. A graph that compares parts to the whole; decimals and fractions may be used on this graph
key
title
labels
Circle Graph

79. 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

80. 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

81. 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

82. Probability The likelihood that an event will happen
Was this one of the favorable choices?
Were there equal chances for both colors?
What color did the spinner land on?
Probability

83. Outcome An event that occurs or happens.
Was this one of the favorable choices?
Were there equal chances for both colors?
What color did the spinner land on?
Outcome

84. Likely An outcome that will probably occur or happen.
When spinning the spinner 10 times, where is the arrow likely to land most often? Less often?
Is your answer certain or uncertain?
What are the chances of the arrow landing on white?
Likely

85. Each outcome has the same chance of occurring
Equally Likely

86. Prediction An event that you think will occur or happen.
Which color is less likely?
What color do you think the arrow will land on?
Which color is more likely?
Prediction

87. Impossible An outcome that will never occur or happen.
What are the chances of the arrow landing on blue?
Impossible

88. Strategy for solving problems for determining outcomes: (Combinations and Permutations)
Using the digits 3,4 and 5. What are all the possible three digit numbers you could create?
Order matters in this problem. Different orders make different numbers.
Steps:
Determine whether or not order matters.
Make an organized list of all possible outcomes.
Use this sample set of possible outcomes to determine your answer.
345, 354
435, 453
534, 543
Answer- 6

89. Goal 5

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

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

92. A mathematical sentence where the left side equals the right side.
Equation/Expression

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

94. The variable represents the number you are solving to find, termed as the…
X + 3 = 7
“X” or some other symbol is used to represent the unknown
Unknown

95. The order in which operations should be done.
Order of Operations

96. Resources Web Resources are listed at the bottom of each slide.
Additional resources: