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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
double bar graphs
bar graphs that present more than one type of data
26
double line graphs
a line graph that presents more than one type of data
27
equations
algebraic expressions that use an equal sign
28
estimation
a close prediction that involves minor calculations
29
expanded form
breaking up a number by the value of each digit
30
factors
numbers that are multiplied with each other
31
figures
geometric forms made up of points, lines, or planes
32
formulas
mathematical relationships expressed in symbols
33
fraction
a part of a whole
34
functions
a relationship btwn input and output
35
histograms
bar graph showing continuous data over time
36
inequalities
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
37
independent variables
values that determine the value of other variables
38
integers
positive or negative whole numbers that are not fracctions or decimals
39
inverse operations
an operation that reverses another operation
40
linear equations
equations that result in a straight line when graphed
41
line graphs
graph that uses points connected by lines to show data
42
line segments
a part of a line connects two points
43
lines
a one-dimensional geometric shape that is infinitely long
44
mass
the amount of matter in an object
45
mean
the average
46
measures of center
include mean, median, mode
47
median
number in the middle of data set
48
metric units
the universal units of measure
49
mode
most frequent
50
models
a mathematical representation of the real world
51
multipes
the product of two whole numbers
52
multiplication
repeated addition of the same number to itself
53
natural numbers
numbers used when counting, do not include 0, fractions, or decimals
54
nets
the shape of a flattened three-dimensional object
55
numerator
the top number of a fraction
56
one-dimensional
having only length
57
order of operations
pemdas (parentheses/brackets, exponents/square roots, mult/div, add, sub)
58
ordered paisrs
two numbers written to show the position of a point in a coordinate plane
59
origin
the point (0,0) on a graph
60
outlier
data point that is vastly diff from other data points
61
parallel lines
lines that remain the same dist apart over entire length an never cross
62
percentages
a part of a whole conveyed per 100
63
perimeter
distance around a two-dimensional shape
64
perpendicular lines
lines that cross at a 90 degree angle
65
place value
the value of the location of a digit within a number
66
points
location in a coordinate plane
67
poloygons
two-dimensional shapes that have three or more straight sides
68
prime numbers
a natural number greater than 1 that can only be divided by itself and 1
69
probability
the likelihood that something will happen
70
product
the result of multiplying two or more numbers
71
quadrants
the four areas created by the intersection of the x-axis and the y-axis
72
quotient
the result of dividing one number into another
73
range
the diff btwn the higher number and the lowest number in a data set
74
ratios
a comparison of two things
75
rational numbers
a number that can be made by dividing two integers; includes fractions and terminating or repeating decimals
76
rays
a shape that starts at one point and goes infinitely in one direction
77
reasonableness
making common sense
78
remainder
the number that is left over when one number does not divide evenly into another number
79
rounding
simplifying a number to any given place value
80
scatterplots
a graph of plotted points that compares two data sets
81
solids
three-dimensional objects
82
statistics
the study of data
83
subtraction
finding the difference between two numbers
84
surface area
the sum of the areas of all sides of a three-dimensional object
85
tessellations
creating patterns through the tiling of polygons
86
three-dimensional
having length, width, and height
87
trends
two sets of data that show a pattern
88
two-dimensional
having length and width
89
unit fractions
a fraction where the numerator is 1
90
unit rates
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
volume
the amount of space that an object occupies as measured in cubic units
92
whole numbers
counting numbers, including 0, that are not fractions or decimals
93
x-axis
horizontal position on a graph where y=0
94
y-axis
vertical position on a graph where x=0
95
identity property
adding 0 or multiplying by 1 will not change the original value a + 0 = a a x 1 = a
96
zero property
multiplying any value by yields a result of 0 | a x 0 = 0
97
multiplying a binomial
(a+b)(c+d) = ac +ad +bc +bd | F.O.I.L first---outer---inner---last
98
adding/subtracting fractions
least/lowest common denominator must be identified
99
mult fractions
mult each numerator together, mult each denominator together
100
dividing fractions
invert second fraction, then multiply as usual | SMURF (same--multiply--upside down--rename--fraction)
101
natural numbers
used when counting: 1, 2, 3, etc...
102
whole numbers
natural numbers plus inclusion of 0
103
integers
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
rational numbers
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
cross multiplication
a/b =c/d---ad=bc
106
Triangle
area: A=1/2bh perimeter: A = s1 +s2 +s3
107
Square
area: s(squared) perimeter: A=4s
108
rectangle
area: A=l x w perimeter: A= 2l x2w
109
Circle
area: A=pie(ray squared) perimeter: A=2(pie)(ray)
110
determining volume of a solid
multiplying length times width times height
111
CRA order
concrete--representational--abstract

MTTC (4 decks)

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