Table of Contents - Buffalo Public Schools€¦ · MSP Math Dictionary Grade 6 2016-2017 Page | 14 Least Common Multiple (LCM): the smallest positive integer that is divisible by

Table of Contents

Absolute deviation …………………………………. 1 Equivalent expressions …………………………… 9

Absolute value ……………………………………….. 1 Equivalent ratios …………………………………….. 10

Altitude and base of a triangle ……………….. 2 Exponential notation for whole number exponents ………………………………………………. 10

Approximately symmetric ………………………. 2 Greatest common factor ………………………… 11

Associated ratios ……………………………………. 3 Hexagon …………………………………………………. 11

Box plot ………………………………………………….. 3 Histogram ………………………………………………. 12

Categorical data ……………………………………… 4 Integers ………………………………………………….. 12

Charge ……………………………………………………. 4 Interquartile range …………………………………. 13

Credit ……………………………………………………… 5 Least common multiple ………………………….. 14

Cube ………………………………………………………. 5 Linear expression ……………………………………. 14

Debit ………………………………………………………. 6 Lower quartile ………………………………………… 15

Deposit …………………………………………………… 6 Magnitude ……………………………………………… 15

Deviations from mean ……………………………. 7 Mean ……………………………………………………… 16

Dot plot ………………………………………………….. 7 Mean absolute deviation ………………………… 17

Double number line ……………………………….. 8 Median …………………………………………………… 18

Elevation ………………………………………………… 8 Mode ……………………………………………………… 19

Equation …………………………………………………. 9 Multiplicative inverses ……………………………. 19

Negative number ……………………………………. 20 Triangular region …………………………………….. 29

Numerical data ……………………………………….. 20 Truth values of a number sentence ………… 30

Opposite …………………………………………………. 21 Unit rate …………………………………………………. 30

Parallel planes ………………………………………… 21 Upper quartile ………………………………………… 31

Pentagon ………………………………………………… 22 Value of a ratio ……………………………………….. 31

Percent …………………………………………………… 22 Variability ……………………………………………….. 32

Positive number ……………………………………… 23 Withdraw ………………………………………………… 33

Quadrants ………………………………………………. 23 Withdrawal ……………………………………………… 33

Range ……………………………………………………… 24

Rate ………………………………………………………… 24

Ratio ……………………………………………………….. 25

Ratio table ………………………………………………. 25

Rational number …………………………………….. 26

Relative frequency ………………………………….. 26

Right rectangular prism …………………………… 27

Simple expression …………………………………… 27

Skewed …………………………………………………… 28

Statistical question …………………………………. 28

Surface of a prism …………………………………… 29

MSP Math Dictionary Grade 6 2016-2017 Page | 1

Absolute Deviation: the absolute value of a deviation from the mean.

Word Definition Outline Example, Illustration,

Chart, or Table Real World

Connection/Context

Absolute Deviation

Module(s): 6

deviation from the mean

absolute value

cannot be negative

If the mean high temperature of a set of data for a given month is 63 degrees, and the high temperature on a specific day in that month was 60 degrees, the deviation from the mean on that day would be -3 degrees. The absolute deviation would be 3 degrees.

H. Fisher

Absolute Value: the absolute value of a number is the distance between the number and zero on the

number line. For example, |3| = 3, |−4| = 4, etc.

Word Definition Outline Example, Illustration, Chart, or

Table Real World

Connection/Context

Absolute Value Module(s): 3

number line

distance from zero

Sea Level Elevation Check book

M. Farrell


Altitude and Base of a Triangle- Altitude of a triangle is a perpendicular segment from a vertex of a triangle

to the line containing the opposite side. The opposite side is called the base.



Connection/Context

Altitude and Base of a Triangle

Module(s): 5

altitude (height)

perpendicular line from the vertex

base

opposite side

S. Hill

Approximately Symmetric: a description of the shape of a data distribution. If a line is drawn down the

center of the distribution, each side of the histogram is approximately the same or almost mirror images

of each other.



Connection/Context

Approximately Symmetric

Module(s): 6

description of data

distribution shape

draw a line down center

each side of the line is approximately the same (mirror images)

H. Fisher


Associated Ratios: fraction 𝐴

𝐵 associated with the ratio 𝐴:𝐵 as the value of the ratio 𝐴 to 𝐵.



Connection/Context

Associated Ratios

Module(s): 1

means the same

written multiple ways

𝐴

𝐵 = A:B = A to B

K. Connolly

Box Plot: a graph of five numerical summary measures: the minimum, lower quartile, median, upper

quartile, and the maximum. It conveys information about center and variability in a data set.



Connection/Context

Box Plot Module(s): 6

a graph

shows the center of data

shows variability of data

includes the 5 number summary (minimum, lower

quartile, median, upper quartile, maximum)

H. Fisher


Categorical Data: a set of data where values can be words or categories.



Connection/Context

Categorical Data Module(s): 6

data values are usually words, categories, or labels

answers to questions are found by naming things

H. Fisher

Charge: a charge is the amount of money a person must pay, as in a charge to an account, or a fee

charged.



Connection/Context

Charge Module(s): 3

money paid out

amount to pay for an item

Write an integer to represent the following situation: A fee charged of $2 -2

M. Farrell


Credit: a credit is represented as a positive number on a number line that is located to the right of (or

above) zero.



Connection/Context

Credit

Module(s): 3

right of the number line

positive number

can be represented above the number line

D.Lupini

Cube: a cube is a right rectangular prism all of whose edges are of equal length.



Connection/Context

Cube Module(s): 5

prism

edges are equal length

vertices are right angles

faces are squares

D. Kennedy


Debit: money that is paid out of an account.



Connection/Context

Debit Module(s): 3

money paid out of an account

opposite of a credit

represented as a negative number to the left of zero on a number line

a charge, also called a fee

D. Lupini

Deposit: a deposit is the act of putting money into a bank account.



Connection/Context

Deposit Module(s): 3

putting money into a bank account

Write an integer to represent the following situation: A deposit of $225 225

N. Sosa

This is a debit


Deviations from the Mean: the differences calculated by subtracting the mean from the observations in a

data set.



Connection/Context Deviations from

the Mean Module(s): 6

data value – mean = deviation

values can be positive or negative

the sum of all deviations is 0

H. Fisher

Dot Plot: a plot of numerical data along a number line.



Connection/Context

Dot Plot Module(s): 6

visual representation

dots used for data

number line

N. Sosa


Double Number Line: a graphic diagram that shows a proportional relationship between two quantities.



Connection/Context

Double

Number Line Module(s): 1

graphical representation

two lines comparing two quantities

N. Sosa

Elevation: the height of a person, place, or thing above a certain reference level



Connection/Context

Elevation Module(s): 3

height

of a person, place, or thing

above a reference point

D. Kennedy


Equation: a statement of equality between two expressions.



Connection/Context

Equation Module(s): 4

math sentence

same value on both sides of the equal sign

There are 6 apples on the table. Sam takes 3 apples. How many apples are left? Explanation: The answer is 3 because the total is 6, so therefore 6-3=3.

P. Williams

Equivalent: ratios that have the same value.



Connection/Context

Equivalent Module(s): 1

ratios

simplified to equal the same

different ways to represent the same amount

M. Farrell


Equivalent Expressions: two simple expressions are equivalent to the same number for every substitution.



Connection/Context

Equivalent Expressions

Module(s): 4

two expressions

equal

simplify to the same value

S. Hill

Exponential Notation for Whole Number Exponents: let 𝑚 be a non-zero whole number. For any number

𝑎, we define 𝑎𝑚 to be the product of 𝑚 factors of 𝑎.



Connection/Context

Exponential Notation for

Whole Number Exponents

Module(s): 4

exponent

the number of times to multiply the base by itself

M. Farrell


Greatest Common Factor (GCF): the largest positive integer that divides into two or more integers without

a remainder; the GCF of 24 and 36 is 12 because when all of the factors of 24 and 36 are listed, the largest

factor they share is 12.



Connection/Context

Greatest Common

Factor (GCF)

Module(s): 2

list factors

of two or more numbers

find the largest number that is on all lists

There are 24 boys and 36 girls who signed up for a dodge ball tournament. What is the greatest number of teams that can be made if all teams have an equal number of boys and girls?

H. Fisher

Hexagon: Given 6 different points A, B, C, D, E, and F in the plane, a 6-sided polygon, or hexagon, is the

union of 6 segments AB, BC, CD, DE, EF, and FA such that (1) the segments intersect only at their

endpoints, and (2) no two adjacent segments are collinear.



Connection/Context

Hexagon

Module(s): 5

polygon

6 sides

straight edges

D. Kennedy


Histogram: A graphical representation of a numerical data set that has been grouped into intervals. Each

interval is represented by a bar drawn above that interval that has a height corresponding to the number

of observations in that interval.



Connection/Context

Histogram Module(s): 6

type of graph

uses bars to represent intervals

shows numerical data

similar to a bar graph

Based on the histogram, how many roller coasters have a maximum drop between 170 – 210 ft.?

H. Fisher

Integers: The numbers …, -3, -2, -1, 0, 1, 2, 3….are integers on the number line.



Connection/Context

Integers

Module(s): 3

numbers

on a number line

positives

negatives

S. Hill


Interquartile Range (IQR): A measure of variability appropriate for data distributions that are skewed. It is

the difference between the upper quartile and the lower quartile of a data set and describes how spread

out the middle 50% of the data are.



Connection/Context

Interquartile Range (IQR)

Module(s): 6

number

difference between the upper quartile and lower quartile of a data set

Q3 – Q1 = IQR

describes the spread of the middle 50% of data

If the upper quartile of student test scores is 77, and the lower quartile is 64, then the Interquartile Range of the test scores is 13. (Q3 – Q1 = 13) 50 % of the test scores are in the range from 64 to 77.

H. Fisher


Least Common Multiple (LCM): the smallest positive integer that is divisible by two or more given integers

without a remainder; the LCM of 4 and 6 is 12 because when the multiples of 4 and 6 are listed, the

smallest or first multiple they share is 12.



Connection/Context

Least Common Multiple (LCM)

Module(s): 2

skip count

by 2 or more numbers

the first match on all lists is the LCM

H. Fisher

Linear Expression: is an expression that is equivalent to the sum/difference of one or more expressions

where each expression is either a number, a variable, or a product of a number and a variable.



Connection/Context Linear Expression

Module(s): 4

expression

sum/difference of one of

more expressions

numbers and/or variables

no equal sign

Admission to the park is $5 and each ride is $2. What would the total cost be based on the amount of rides went on (variable)? 2x + 5

N. Sosa


Lower Quartile: the median of the lower half of the ordered data (does not include the median of the

complete set). It is also called Quartile 1 or “Q1.”



Connection/Context

Lower Quartile Module(s): 6

median of lower half of data

also called quartile 1 or Q1

H. Fisher

Magnitude: the magnitude is the absolute value of a measurement, given the measurement of a positive

or negative number.



Connection/Context

Magnitude

Module(s): 3

positive value of a measurement

N. Fiorella

https://www.google.com/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=0ahUKEwijzIet58rNAhVp5YMKHfi1CqsQjRwIBw&url=https://learnzillion.com/lesson_plans/6009-interpret-absolute-value-in-real-world-situations&bvm=bv.125596728,d.cWw&psig=AFQjCNGapT8rLJ6UO4lcEh3Zd6-znPetKw&ust=1467206218262337


Mean: A measure of center appropriate for data distributions that are approximately symmetric. It is the

average of the values in the data set. Two common interpretations of the mean are as a “fair share” and

as the balance point of the data distribution.



Connection/Context

Mean Module(s): 6

average value of a set of data

add up all of the numbers

then divide the sum by the number of values that were added

H. Fisher


Mean Absolute Deviation (MAD): A measure of variability appropriate for data distributions that are

approximately symmetric. It is the average of the absolute value of the deviations from the mean.



Connection/Context

Mean Absolute Deviation

(MAD) Module(s): 6

average distance of deviations from the mean

add up all absolute deviations

divide the sum by the number of deviations that were added

lower MAD means less variability (not spread out much)

higher MAD means more variability (spread out more)

H. Fisher


Median: A measure of center appropriate for skewed data distributions. It is the middle value when the

data are ordered from smallest to largest if there are an odd number of observations, and halfway

between the middle two observations if the number of observations is even.



Connection/Context

Median Module(s): 6

the middle value of a set of data

that has been put in order from least to greatest

for an odd number of values, it is the middle value

for an even number of values, add the two middle values and divide by 2

Odd number of values Even number of values

H. Fisher


Mode: the value which appears most often in a set of data.



Connection/Context

Mode Module(s): 6

value in a set of data

appears more often than other values

sometimes there is more than one mode

sometimes there is no mode

Mode is 3.

H. Fisher

Multiplicative Inverses: two numbers whose product is 1 are multiplicative inverses of one another.



Connection/Context

Multiplicative Inverses

Module(s): 2

two numbers

product equals 1

do not have to be reciprocals

1

3×3

1=3

3= 1

2

4×16

8=32

32= 1

M. Farrell


Negative Number: a number less than zero.



Connection/Context

Negative Number

Module(s): 3

number less than zero

minus sign in front of the number

N. Fiorella

Numerical Data: a set of data where every value in the set is a number.



Connection/Context

Numerical Data Module(s): 6

data values are numbers

answers to questions are found by counting or measuring

H. Fisher


Opposite: In a position on the other side; for example, negative numbers are the opposite direction from

zero as positive numbers.



Connection/Context

Opposite

Module(s): 3

other side of something

N. Fiorella

Parallel Planes- two planes are parallel if they do not intersect. In Euclidean geometry, a useful test for checking whether two planes are parallel is if the planes are different and if there is a line that is perpendicular to both planes.



Connection/Context

Parallel Planes Module(s): 5

two planes

do not intersect

S. Crangle


Pentagon: a plane figure with five straight sides and five angles.



Connection/Context

Pentagon Module(s): 5

shape with 5 sides

shape with 5 angles

N. Fiorella

Percent: percent of a quantity is a rate per 100.



Connection/Context

Percent

Module(s): 1

amount out of 100

K. Connolly


Positive Number: a number greater than zero.



Connection/Context

Positive Number

Module(s): 3

number greater than zero

N. Fiorella

Quadrants: the four sections of the coordinate plane formed by the intersection of the axes are called

quadrants.



Connection/Context

Quadrants

Module(s): 3

4 sections

coordinate grid

formed by x and y axes

D. Kennedy


Range: the difference between the highest and lowest values in a data set.



Connection/Context

Range Module(s): 6

difference between highest and lowest values

range = highest - lowest

H. Fisher

Rate: indicates, for a proportional relationship between two quantities, how many units of one quantity

there are for every 1 unit of the second quantity



Connection/Context

Rate Module(s): 1

comparison

two quantities

different units

S. Hill


Ratio: a pair of non-negative numbers, A:B, where both are not zero, and that are used to indicate that

there is a relationship between two quantities such that when there are A units of one quantity, there are

B units of the second quantity.



Connection/Context

Ratio Module(s): 1

comparison or relationship

between two items

S. Hill

Ratio Table: a table listing pairs of numbers that form equivalent ratios.



Connection/Context

Ratio Table Module(s): 1

table

pairs of numbers

equivalent ratios

Kyra is participating in a fundraiser walkathon. She walks 2 miles in 30 minutes. If she continues to walk at the same rate, determine how many minutes it will take her to walk 7 miles.

M. Farrell


Rational Number: a fraction or the opposite of a fraction on the number line.



Connection/Context

Rational Number Module(s): 3

number

fraction or its opposite

on number line

K. Connolly

Relative Frequency: a comparison of the frequency for an interval to the total number of observations. It

is usually expressed as a decimal, but can also be expressed in fraction or percent form.



Connection/Context

Relative Frequency

Module(s): 6

comparison

divide frequency by total observations

can be expressed as a fraction, decimal, or percent

H. Fisher


Right Rectangular Prism: let E and E’ be two parallel planes. Let B be a rectangular region in the plane E.

At each point P of B, consider the segment PP’ perpendicular to E, joining P to a point P’ of the plane E’.

The union of all these segments is called a right rectangular prism.



Connection/Context Right Rectangular

Prism Module(s): 5

prism

rectangular faces

sides perpendicular

6 faces

D. Kennedy

Simple Expression: a number, a letter that represents a number, a product whose factors are either

numbers or letters involving whole number exponents, or sums and/or differences of such products.



Connection/Context

Simple Expression

Module(s): 4

numbers

letters

product of numbers and/or letters

add 8 and 7, then multiply by 2 2 × (8 + 7)

Four CD’s are bought at $10 each. $10 x 4 or $10(4)

N. Sosa


Skewed: a description of the shape of a data distribution. Most of the data values are grouped or

‘clustered’ on one side of the distribution.



Connection/Context

Skewed Module(s): 6

describes the shape of a data distribution

most values are grouped or ‘clustered’ on a side

skewed left (negative)

skewed right (positive)

H. Fisher

Statistical Question: a question that anticipates variability in the data that would be collected in order to

answer the question.



Connection/Context

Statistical Question

Module(s): 6

a question

more than one possible answer

used to collect data

H. Fisher


Surface of a Prism: is the union of all of its faces- the base faces and lateral faces.



Connection/Context

Surface of a Prism

Module(s): 5

combination of

all of the faces/sides

Katy is painting the walls of her bedroom, shown below. Katy will not paint the floor, the ceiling, or the door. Katy’s door is 3 feet x 8 feet. If one quart of paint covers 100 square feet, how many quarts will Katy need to purchase?

S. Hill

Triangular Region: the union of the triangle and its interior.



Connection/Context

Triangular Region Module(s): 5

area

triangular portion of an object

K. Connolly


Truth Value of a Number Sentence: A number sentence is said to be true if both numerical expressions are

equivalent; it is said to be false otherwise. True and false are called truth values.



Connection/Context Truth Value of a

Number Sentence

Module(s): 4

true

expressions are the same

false

expressions are not the same

Write true or false if the number substituted for g results in a true or false number sentence.

Earth orbits the sun. True

George Washington was the first president of the United States. True

There are 25 hours in a day. False

K. Connolly

Unit Rate: the numeric value of the rate.



Connection/Context

Unit Rate

Module(s): 1

number

representing a rate

Traveling along Route 33, the sign reads 50 miles per hour. The unit rate is 50.

P. Williams


Upper Quartile: the median of the upper half of the ordered data (does not include the median of the

complete set). It is also called Quartile 3 or “Q3.”



Connection/Context

Upper Quartile

Module(s): 6

lower half of data

median of

also called quartile 3 or Q3

H. Fisher

Value of a Ratio: A relationship between two quantities, normally expressed as the quotient of one

divided by the other; for example, the ratio of 7 to 4 can be written 7:4 or 7/4.



Connection/Context

Value of a Ratio

Module(s): 1

ratio A:B

represented as

quotient A/B

K. Connolly


Variability: variability in a data set occurs when the observations in the data set are not all the same.



Connection/Context

Variability Module(s): 6

differences in a data set

higher variability = values spread out more

lower variability = values closer together

High Variability Low Variability

H. Fisher


Withdraw: to withdraw is to take away; for example, to take money out of a bank account.



Connection/Context

Withdraw Module(s): 3

to take away

Niya Sosa

Withdrawal: the act of taking money out of a bank account.



Connection/Context

Withdrawal Module(s): 3

take money out Write an integer to represent the following situation: A withdrawl of $225 -225

P. Williams

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Table of Contents - Buffalo Public Schools€¦ · MSP Math Dictionary Grade 6 2016-2017 Page | 14 Least Common Multiple (LCM): the smallest positive integer that is divisible by