A

$\mathit{a}$
is greater than
$\mathit{b}$
3.2 The Integers

absolute value of an integer
3.2 The Integers

acquisition fee
6.11 Buying or Leasing a Car

acute angle
10.2 Angles

acyclic
12.10 Trees

additive system of numbers
4.2 Early Numeration Systems

adjacent
12.1 Graph Basics

adjusted gross income
6.13 Income Tax

Alabama paradox
11.5 Fairness in Apportionment Methods

Algebraic expressions
5.1 Algebraic Expressions

angle of depression
10.8 Right Triangle Trigonometry

angle of elevation
10.8 Right Triangle Trigonometry

annual percentage rate
6.3 Simple Interest

apportionment paradox
11.5 Fairness in Apportionment Methods

apportionment problem
11.3 Standard Divisors, Standard Quotas, and the Apportionment Problem

approval voting ballot
11.1 Voting Methods

approval voting system
11.1 Voting Methods

Area
9.2 Measuring Area

arithmetic sequence
3.10 Arithmetic Sequences

Arrow’s Impossibility Theorem
11.2 Fairness in Voting Methods

average (or mean) of a set of
3.2 The Integers

B

bar chart
8.2 Visualizing Data

base
3.8 Exponents

base 10
4.3 Converting with Base Systems

base 10 system
4.1 Hindu-Arabic Positional System

$\mathit{b}$
is less than
$\mathit{a}$
3.2 The Integers

biconditional
2.2 Compound Statements

billing period
6.10 Credit Cards

bimodal
8.3 Mean, Median and Mode

binned frequency distribution
8.1 Gathering and Organizing Data

binomial experiments
7.10 The Binomial Distribution

binomial trials
7.10 The Binomial Distribution

Bonds
6.7 Investments

bridges
12.6 Euler Trails

brute force algorithm
12.9 Traveling Salesperson Problem

brute force method
12.9 Traveling Salesperson Problem

budget
6.5 Making a Personal Budget

C

cardinal value
1.1 Basic Set Concepts

Cardinal voting systems
11.2 Fairness in Voting Methods

cardinality
1.1 Basic Set Concepts

cardinality of the union of two sets
1.4 Set Operations with Two Sets

categorical frequency distribution
8.1 Gathering and Organizing Data

chain rule for conditional arguments
2.7 Logical Arguments

chromatic number
12.4 Navigating Graphs

circuit
12.4 Navigating Graphs

clock arithmetic
3.7 Clock Arithmetic

closed
12.4 Navigating Graphs

cluster sample
8.1 Gathering and Organizing Data

coefficient
5.1 Algebraic Expressions

combinations
7.3 Combinations

combinatorics
7.1 The Multiplication Rule for Counting

common ratio
3.11 Geometric Sequences

complement
1.3 Understanding Venn Diagrams

composite
3.1 Prime and Composite Numbers

compound event
7.8 The Addition Rule for Probability

compound interest
6.4 Compound Interest

compound statement
2.2 Compound Statements

conclusion
2.1 Statements and Quantifiers

conditional probabilities
7.9 Conditional Probability and the Multiplication Rule

Condorcet criterion
11.2 Fairness in Voting Methods

Condorcet method
11.2 Fairness in Voting Methods

conjunction
2.2 Compound Statements

connective
2.2 Compound Statements

constant
5.1 Algebraic Expressions

constant difference
3.10 Arithmetic Sequences

constant of proportionality
5.4 Ratios and Proportions

constant sequence
3.11 Geometric Sequences

constraints
5.11 Linear Programming

contrapositive
2.5 Equivalent Statements

converse
2.5 Equivalent Statements

correlation coefficient
8.8 Scatter Plots, Correlation, and Regression Lines

countably infinite
1.1 Basic Set Concepts

credit limit
6.10 Credit Cards

cubic meter
9.1 The Metric System

cubic units
9.3 Measuring Volume

cumulative distribution function
7.10 The Binomial Distribution

cycle
12.2 Graph Structures

D

data analytics
13.5 Math and Sports

De Morgan’s Law
2.6 De Morgan’s Laws

dealer preparation fee
6.11 Buying or Leasing a Car

decibels
13.4 Math and Music

deductive arguments
2.7 Logical Arguments

degree
12.1 Graph Basics

degrees
10.2 Angles

degrees Celsius
9.1 The Metric System

dependent
7.4 Tree Diagrams, Tables, and Outcomes

dependent variable
8.8 Scatter Plots, Correlation, and Regression Lines

destination fee
6.11 Buying or Leasing a Car

directed cycle
12.4 Navigating Graphs

directed path
12.4 Navigating Graphs

directed trail
12.4 Navigating Graphs

directed walk
12.4 Navigating Graphs

discounts
6.2 Discounts, Markups, and Sales Tax

disjoint sets
1.3 Understanding Venn Diagrams

disjunction
2.2 Compound Statements

disposition fees
6.11 Buying or Leasing a Car

distribution
8.2 Visualizing Data

Distributive Property
5.1 Algebraic Expressions

dividend
4.3 Converting with Base Systems

dividends
6.7 Investments

division in a base
4.5 Multiplication and Division in Base Systems

divisor
4.3 Converting with Base Systems

documentation fee
6.11 Buying or Leasing a Car

domain
5.7 Functions

dominance of connectives
2.2 Compound Statements

doubling time
3.11 Geometric Sequences

down payment
6.11 Buying or Leasing a Car

down-rank
11.2 Fairness in Voting Methods

E

edge
12.1 Graph Basics

Effective annual yield
6.4 Compound Interest

elements
1.1 Basic Set Concepts

empirical probability
7.5 Basic Concepts of Probability

empty set
1.1 Basic Set Concepts

equal
1.1 Basic Set Concepts

equal sign
5.1 Algebraic Expressions

equation
5.1 Algebraic Expressions

equivalent
1.1 Basic Set Concepts

Euler circuits
12.5 Euler Circuits

Euler trail
12.6 Euler Trails

evaluating the function
5.7 Functions

exemptions
6.13 Income Tax

expanded form
4.1 Hindu-Arabic Positional System

expected value
7.11 Expected Value

experiment
7.4 Tree Diagrams, Tables, and Outcomes

explanatory variable
8.8 Scatter Plots, Correlation, and Regression Lines

exponent
3.8 Exponents

exponential expression
4.1 Hindu-Arabic Positional System

exponential notation
1.2 Subsets

exponents
3.1 Prime and Composite Numbers

expressions
5.1 Algebraic Expressions

extended warranties
6.11 Buying or Leasing a Car

extrapolation
8.8 Scatter Plots, Correlation, and Regression Lines

F

fallacy
2.7 Logical Arguments

finite sets
1.1 Basic Set Concepts

fixed expenses
6.5 Making a Personal Budget

fixed interest rate
6.8 The Basics of Loans

flat
13.4 Math and Music

Fleury’s algorithm
12.6 Euler Trails

forest
12.10 Trees

Four-Color Map Theorem
12.4 Navigating Graphs

Four-Color Theorem
12.4 Navigating Graphs

fractional form
6.1 Understanding Percent

frequency
13.4 Math and Music

function
5.7 Functions

G

geometric sequence
3.11 Geometric Sequences

geometric solids
10.7 Volume and Surface Area

glide reflection
10.5 Tessellations

golden ratio
13.1 Math and Art

golden rectangles
13.1 Math and Art

grams
9.1 The Metric System

graph
12.1 Graph Basics

graph colorings
12.4 Navigating Graphs

greatest common divisor
3.1 Prime and Composite Numbers

greedy algorithm
12.9 Traveling Salesperson Problem

gross income
6.13 Income Tax

H

half-step
13.4 Math and Music

Hamilton circuits
12.7 Hamilton Cycles

Hamilton cycles
12.7 Hamilton Cycles

Hamilton paths
12.8 Hamilton Paths

Hare Method
11.1 Voting Methods

hertz
13.4 Math and Music

Hindu-Arabic numeration system
4.1 Hindu-Arabic Positional System

Histograms
8.2 Visualizing Data

hypothesis
2.2 Compound Statements

I

Inclusion/Exclusion Principle
7.8 The Addition Rule for Probability

independent
7.4 Tree Diagrams, Tables, and Outcomes

independent variable
8.8 Scatter Plots, Correlation, and Regression Lines

inductive arguments
2.1 Statements and Quantifiers

infinite sets
1.1 Basic Set Concepts

installment loan
6.8 The Basics of Loans

instant runoff voting (IRV)
11.1 Voting Methods

intercepts
5.8 Graphing Functions

interest
6.3 Simple Interest

intersection of two sets
1.4 Set Operations with Two Sets

inverse
2.5 Equivalent Statements

irrational numbers
3.5 Irrational Numbers

isomorphic
12.3 Comparing Graphs

issue price
6.7 Investments

K

kilowatt
13.2 Math and the Environment

kilowatt-hour
13.2 Math and the Environment

Kruskal’s algorithm
12.10 Trees

L

landlord
6.12 Renting and Homeownership

law of denying the consequent
2.7 Logical Arguments

law of detachment
2.7 Logical Arguments

least common multiple
3.1 Prime and Composite Numbers

line of best fit
8.8 Scatter Plots, Correlation, and Regression Lines

linear equation
5.2 Linear Equations in One Variable with Applications

linear inequalities
5.3 Linear Inequalities in One Variable with Applications

Linear programming
5.11 Linear Programming

liters
9.1 The Metric System

Loan amortization
6.8 The Basics of Loans

Logic
Introduction

logical statement
2.1 Statements and Quantifiers

loop
12.1 Graph Basics

lower quota
11.4 Apportionment Methods

M

majority
11.1 Voting Methods

majority criterion
11.2 Fairness in Voting Methods

mapping
5.7 Functions

mass
9.4 Measuring Weight

Mathematical modeling
13.3 Math and Medicine

median
8.3 Mean, Median and Mode

meters
9.1 The Metric System

metric system
Introduction

minimum spanning tree
12.10 Trees

modulo 12
3.7 Clock Arithmetic

modulo 7
3.7 Clock Arithmetic

money market account
6.6 Methods of Savings

mortgage
6.12 Renting and Homeownership

multigraph
12.1 Graph Basics

multiple
3.1 Prime and Composite Numbers

multiplication and division in bases
4.5 Multiplication and Division in Base Systems

multiplication principle
2.3 Constructing Truth Tables

Multiplication Rule for Counting
7.1 The Multiplication Rule for Counting

mutually exclusive
7.8 The Addition Rule for Probability

N

natural numbers
1.1 Basic Set Concepts

nearest neighbor method
12.9 Traveling Salesperson Problem

negation of a logical statement
2.1 Statements and Quantifiers

negative linear relationship
8.8 Scatter Plots, Correlation, and Regression Lines

neighboring
12.1 Graph Basics

net worth
3.2 The Integers

new-state paradox
11.5 Fairness in Apportionment Methods

$\mathit{n}$
-coloring
12.4 Navigating Graphs

nonplanar
12.3 Comparing Graphs

normal distributions
8.6 The Normal Distribution

O

obtuse angle
10.2 Angles

octave
13.4 Math and Music

odds against
7.7 What Are the Odds?

odds for
7.7 What Are the Odds?

odds in favor
7.7 What Are the Odds?

order of operations
3.3 Order of Operations

ordinary annuity
6.6 Methods of Savings

origination date
6.3 Simple Interest

P

part-to-part ratio
11.3 Standard Divisors, Standard Quotas, and the Apportionment Problem

percent
6.1 Understanding Percent

percentiles
8.5 Percentiles

permutations
7.2 Permutations

perpendicular lines
10.1 Points, Lines, and Planes

pie chart
8.2 Visualizing Data

pitch
13.4 Math and Music

place values
4.1 Hindu-Arabic Positional System

planar
12.3 Comparing Graphs

population
8.1 Gathering and Organizing Data

population growth rate
11.5 Fairness in Apportionment Methods

population paradox
11.5 Fairness in Apportionment Methods

positional system of numbers
4.2 Early Numeration Systems

positive linear relationship
8.8 Scatter Plots, Correlation, and Regression Lines

Postulate 1
10.1 Points, Lines, and Planes

Postulate 2
10.1 Points, Lines, and Planes

preference ranking
11.1 Voting Methods

premises
2.1 Statements and Quantifiers

prime factorization
3.1 Prime and Composite Numbers

probability
7.5 Basic Concepts of Probability

probability density function
7.10 The Binomial Distribution

proper subset
1.2 Subsets

properties of the real numbers
3.6 Real Numbers

Pythagorean Theorem
10.8 Right Triangle Trigonometry

Q

Quadratic equations
5.6 Quadratic Equations with Two Variables with Applications

quadratic formula
5.6 Quadratic Equations with Two Variables with Applications

quadrilateral
10.6 Area

quantifier
2.1 Statements and Quantifiers

quantiles
8.5 Percentiles

quartile
8.5 Percentiles

Quintile
8.5 Percentiles

quotient
4.3 Converting with Base Systems

R

radians
10.2 Angles

ranked ballot
11.1 Voting Methods

ranked voting
11.1 Voting Methods

ranked-choice voting (RCV)
11.1 Voting Methods

rational number
3.4 Rational Numbers

Real numbers
3.6 Real Numbers

reapportionment
11.5 Fairness in Apportionment Methods

reflection
10.5 Tessellations

regression line
8.8 Scatter Plots, Correlation, and Regression Lines

relation
5.7 Functions

remainder
4.3 Converting with Base Systems

replicated
7.4 Tree Diagrams, Tables, and Outcomes

representative democracies
11.3 Standard Divisors, Standard Quotas, and the Apportionment Problem

response variable
8.8 Scatter Plots, Correlation, and Regression Lines

return on investment
6.6 Methods of Savings

Revolving credit
6.8 The Basics of Loans

right angle
10.2 Angles

right cylinder
10.7 Volume and Surface Area

right prism
10.7 Volume and Surface Area

right triangle
3.6 Real Numbers

runoff election
11.1 Voting Methods

S

sample space
7.4 Tree Diagrams, Tables, and Outcomes

savings account
6.6 Methods of Savings

scaling factor
10.3 Triangles

scatter plot
8.8 Scatter Plots, Correlation, and Regression Lines

scientific notation
3.9 Scientific Notation

security deposit
6.11 Buying or Leasing a Car

seeding
13.5 Math and Sports

sequence
3.10 Arithmetic Sequences

Sequences
1.2 Subsets

series
1.2 Subsets

set builder notation
1.1 Basic Set Concepts

shares
6.7 Investments

sharp
13.4 Math and Music

simple graph
12.1 Graph Basics

simple interest
6.3 Simple Interest

simple random sample
8.1 Gathering and Organizing Data

simplify an expression
5.1 Algebraic Expressions

slope
5.8 Graphing Functions

solutions of a system of equations
5.9 Systems of Linear Equations in Two Variables

sound
2.7 Logical Arguments

spanning trees
12.10 Trees

spoiler
11.1 Voting Methods

square meter
9.1 The Metric System

Square Root Property
5.6 Quadratic Equations with Two Variables with Applications

square units
9.2 Measuring Area

standardized score
8.6 The Normal Distribution

Stem-and-leaf plots
8.2 Visualizing Data

Stocks
6.7 Investments

straight angle
10.2 Angles

stratified sample
8.1 Gathering and Organizing Data

subjective probability
7.5 Basic Concepts of Probability

subset
1.2 Subsets

subsidized loans
6.9 Understanding Student Loans

Subtraction in bases
4.4 Addition and Subtraction in Base Systems

symbolic form
2.1 Statements and Quantifiers

system of linear inequalities
5.10 Systems of Linear Inequalities in Two Variables

systematic random sample
8.1 Gathering and Organizing Data

T

tautology
2.5 Equivalent Statements

tax credits
6.13 Income Tax

taxable income
6.13 Income Tax

Temperature
9.5 Measuring Temperature

tessellations
10.5 Tessellations

theoretical probability
7.5 Basic Concepts of Probability

title and registration fee
6.11 Buying or Leasing a Car

total weight
12.7 Hamilton Cycles

trail
12.4 Navigating Graphs

translation
10.5 Tessellations

traveling salesperson problem (TSP)
12.9 Traveling Salesperson Problem

tree
12.10 Trees

tree diagram
7.4 Tree Diagrams, Tables, and Outcomes

truth table
2.3 Constructing Truth Tables

truth values
2.1 Statements and Quantifiers

two-round system
11.1 Voting Methods

tyranny of the majority
11.2 Fairness in Voting Methods

U

union of two sets
1.4 Set Operations with Two Sets

universal set
1.3 Understanding Venn Diagrams

unsubsidized loans
6.9 Understanding Student Loans

up-rank
11.2 Fairness in Voting Methods

upper quota
11.4 Apportionment Methods

V

variable
5.1 Algebraic Expressions

variable expenses
6.5 Making a Personal Budget

variable interest rate
6.8 The Basics of Loans

Venn diagram with three intersecting sets
1.5 Set Operations with Three Sets

Venn diagrams
1.3 Understanding Venn Diagrams

vertex
10.2 Angles

vertical line test
5.7 Functions

vertices
12.1 Graph Basics

Volume
9.3 Measuring Volume

W

weighted graph
12.7 Hamilton Cycles

well-defined sets
1.1 Basic Set Concepts

whole step
13.4 Math and Music

Z

Zero Product Property
5.6 Quadratic Equations with Two Variables with Applications