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MTTC > MTTC: Mathematics > Flashcards

MTTC: Mathematics Flashcards

1
Q

algebraic expression

A

contains numbers, variables, and a mathematical operation

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2
Q

algorithms

A

a set of steps to follow when solving a problem

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3
Q

angles

A

formed by two rays that share a common point

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4
Q

area

A

size of a surface measured in square units

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5
Q

area model/box method

A

a nontraditional approach to multiplication that promotes understanding of place value. promotes understanding of place value.

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6
Q

arrays

A

pictorial representation of a multiplication problem

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7
Q

associative property

A

multiplication and addtion, the way numbers are grouped in parentheses does not matter,
(a+b) +c= a+ (b+c) (addition ex. )
(a x b) x c = a x (b x c)

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8
Q

base-10

A

numbering system where each digit is worth 10 times as much as the digit to the right of it

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9
Q

binomials

A

an algebraic expression with two different variables

ex: 3x +16y

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10
Q

box plot/ box and whiskers plot

A

data is shown using the median, range, and outliers of a data set. visual how data distributed.

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11
Q

circle graphs

A

a pie chart where each piece demonstrates a quantity

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12
Q

commutative property

A

in multiplication and addition, the order of the numbers on each side of the equation does not matter:
a+b=b+a (addition example)
ab=ba (multiplication example)

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13
Q

composite numbers

A

non-prime numbers. natural number greater than 1 that can be divided by at least one other number besides 1 and itself

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14
Q

coordinate plane

A

the plane containing the x-axis and y-axis

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15
Q

customary units

A

units of measure used in the u.s.

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16
Q

decimals

A

any real number in the base-10 system, but often refers to numbers with digits to the right of the decimal point

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17
Q

denominator

A

the number on the bottom of a fraction

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18
Q

dependent variables

A

variables whose value depends on other variables

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19
Q

digits

A

any number 0-9

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20
Q

distributive property

A

multiplication distributes over addition:

a(b+c) = ab+ac

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21
Q

dividends

A

a number that is being divided by another number

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22
Q

division

A

splitting a number into even parts

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23
Q

divisors

A

the number by which another number is divided

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24
Q

dot plots

A

a graphical display of data using dots

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25
Q

double bar graphs

A

bar graphs that present more than one type of data

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26
Q

double line graphs

A

a line graph that presents more than one type of data

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27
Q

equations

A

algebraic expressions that use an equal sign

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28
Q

estimation

A

a close prediction that involves minor calculations

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29
Q

expanded form

A

breaking up a number by the value of each digit

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30
Q

factors

A

numbers that are multiplied with each other

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31
Q

figures

A

geometric forms made up of points, lines, or planes

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32
Q

formulas

A

mathematical relationships expressed in symbols

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33
Q

fraction

A

a part of a whole

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34
Q

functions

A

a relationship btwn input and output

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35
Q

histograms

A

bar graph showing continuous data over time

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36
Q

inequalities

A

two mathematical quantities that are not equal to each other. sim to equations, but both sides of the prob are not equal. inequalities are represented on a numberline, a circle is placed on the end point, and showing greater than, less than, greater/equal to, lesser than equal to. the solution to an inequality is a set of numbers, not a single value

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37
Q

independent variables

A

values that determine the value of other variables

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38
Q

integers

A

positive or negative whole numbers that are not fracctions or decimals

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39
Q

inverse operations

A

an operation that reverses another operation

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40
Q

linear equations

A

equations that result in a straight line when graphed

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41
Q

line graphs

A

graph that uses points connected by lines to show data

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42
Q

line segments

A

a part of a line connects two points

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43
Q

lines

A

a one-dimensional geometric shape that is infinitely long

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44
Q

mass

A

the amount of matter in an object

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45
Q

mean

A

the average

46
Q

measures of center

A

include mean, median, mode

47
Q

median

A

number in the middle of data set

48
Q

metric units

A

the universal units of measure

49
Q

mode

A

most frequent

50
Q

models

A

a mathematical representation of the real world

51
Q

multipes

A

the product of two whole numbers

52
Q

multiplication

A

repeated addition of the same number to itself

53
Q

natural numbers

A

numbers used when counting, do not include 0, fractions, or decimals

54
Q

nets

A

the shape of a flattened three-dimensional object

55
Q

numerator

A

the top number of a fraction

56
Q

one-dimensional

A

having only length

57
Q

order of operations

A

pemdas (parentheses/brackets, exponents/square roots, mult/div, add, sub)

58
Q

ordered paisrs

A

two numbers written to show the position of a point in a coordinate plane

59
Q

origin

A

the point (0,0) on a graph

60
Q

outlier

A

data point that is vastly diff from other data points

61
Q

parallel lines

A

lines that remain the same dist apart over entire length an never cross

62
Q

percentages

A

a part of a whole conveyed per 100

63
Q

perimeter

A

distance around a two-dimensional shape

64
Q

perpendicular lines

A

lines that cross at a 90 degree angle

65
Q

place value

A

the value of the location of a digit within a number

66
Q

points

A

location in a coordinate plane

67
Q

poloygons

A

two-dimensional shapes that have three or more straight sides

68
Q

prime numbers

A

a natural number greater than 1 that can only be divided by itself and 1

69
Q

probability

A

the likelihood that something will happen

70
Q

product

A

the result of multiplying two or more numbers

71
Q

quadrants

A

the four areas created by the intersection of the x-axis and the y-axis

72
Q

quotient

A

the result of dividing one number into another

73
Q

range

A

the diff btwn the higher number and the lowest number in a data set

74
Q

ratios

A

a comparison of two things

75
Q

rational numbers

A

a number that can be made by dividing two integers; includes fractions and terminating or repeating decimals

76
Q

rays

A

a shape that starts at one point and goes infinitely in one direction

77
Q

reasonableness

A

making common sense

78
Q

remainder

A

the number that is left over when one number does not divide evenly into another number

79
Q

rounding

A

simplifying a number to any given place value

80
Q

scatterplots

A

a graph of plotted points that compares two data sets

81
Q

solids

A

three-dimensional objects

82
Q

statistics

A

the study of data

83
Q

subtraction

A

finding the difference between two numbers

84
Q

surface area

A

the sum of the areas of all sides of a three-dimensional object

85
Q

tessellations

A

creating patterns through the tiling of polygons

86
Q

three-dimensional

A

having length, width, and height

87
Q

trends

A

two sets of data that show a pattern

88
Q

two-dimensional

A

having length and width

89
Q

unit fractions

A

a fraction where the numerator is 1

90
Q

unit rates

A

the ratio of two measurements in which the second term is 1
ex: If Patrick earns $240 in 12 hours, he earns $20 in 1 hour
dollars/hours =240/12 =x/1, so x=$20

91
Q

volume

A

the amount of space that an object occupies as measured in cubic units

92
Q

whole numbers

A

counting numbers, including 0, that are not fractions or decimals

93
Q

x-axis

A

horizontal position on a graph where y=0

94
Q

y-axis

A

vertical position on a graph where x=0

95
Q

identity property

A

adding 0 or multiplying by 1 will not change the original value
a + 0 = a
a x 1 = a

96
Q

zero property

A

multiplying any value by yields a result of 0

a x 0 = 0

97
Q

multiplying a binomial

A

(a+b)(c+d) = ac +ad +bc +bd

F.O.I.L first—outer—inner—last

98
Q

adding/subtracting fractions

A

least/lowest common denominator must be identified

99
Q

mult fractions

A

mult each numerator together, mult each denominator together

100
Q

dividing fractions

A

invert second fraction, then multiply as usual

SMURF (same–multiply–upside down–rename–fraction)

101
Q

natural numbers

A

used when counting: 1, 2, 3, etc…

102
Q

whole numbers

A

natural numbers plus inclusion of 0

103
Q

integers

A

positive or negative whole numbers (NOT fractions or decimals). integers are rational numbers bc they can be written as a fraction with a denominator of 1

104
Q

rational numbers

A

numbers that can be made by dividing two inters. must be expressed as terminating or repeating
PI is not rational because it goes on forever

105
Q

cross multiplication

A

a/b =c/d—ad=bc

106
Q

Triangle

A

area: A=1/2bh
perimeter: A = s1 +s2 +s3

107
Q

Square

A

area: s(squared)
perimeter: A=4s

108
Q

rectangle

A

area: A=l x w
perimeter: A= 2l x2w

109
Q

Circle

A

area: A=pie(ray squared)
perimeter: A=2(pie)(ray)

110
Q

determining volume of a solid

A

multiplying length times width times height

111
Q

CRA order

A

concrete–representational–abstract

MTTC (4 decks)

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