PROBLEM SOLVING

Introduction to Percent
Ex 1:  Relating Fractions, Decimals, and Percents
Ex 2:  Relating Fractions, Decimals, and Percents
The Percent Equation
Ex 1: Solve a Percent Problem Using a Percent Equation
Ex 2: Solve a Percent Problem Using a Percent Equation
Ex 3: Solve a Percent Problem Using a Percent Equation
Ex: Determine the Percent of a Number Using a Bar Graph
Ex: Change, Absolute Change, and Relative Change
Percent of Change
Ex 1: Determine a Percent of Change (decrease)
Ex 2: Determine a Percent of Change (increase)
Ex: Tax Percent Application - Find the Amount of FICA tax paid
Ex: Percent Applications - Changing Bases of Relative Change
Ex: Percent of Original Price Paid After Two Percentage Discounts
Ex: Weighted Average - Determine an Ending Percent or Grade of a Weighted Average
Ex: Proportion Application - Estimate Cost Based Upon Area
Ex: Proportion Application - Estimate Cost Based Upon Area
Rates and Unit Rates
American Unit Conversions
Perimeter and Area Formulas
Ex: Find the Number of Meters Traveled in 3 seconds Given Kilometers Per Hour
Unit Conversion Application - Number of Lemons for a Lemon Pie
Ex: Determine the Width of a Canyon Based Upon an Echo Time
Ex: Volume Conversion to Determine the Number of Cubic Yards of Soil Needed

GEOMETRY

Perimeter and Area

Introduction to Perimeter and Perimeter Formulas
Determine the Perimeter of Various Polygons
The Circumference of a Circle
Introduction to Area
Introduction to Area and Area Formulas
Find the Area of a Shape by Decomposing the Area
Area of a Square and Rectangle Using Decimal
Area and Perimeter Formulas
Determine the Perimeter and Area of a Square on a Grid
Determine the Perimeter and Area of a Rectangle on a Grid
Determine the Area of a Parallelogram on a Grid
Determine the  Area of a Trapezoid on a Grid
Rectangle Area Application:  Flooring
Perimeter and Area of a Rectangle with Decimals
Ex:  Determine the Area of a Rectangle Involving Whole Numbers
Ex: Find the Area of a Triangle (Whole Number)
Ex:  Area of a Parallelogram (Whole Numbers)
Perimeter and Area of a Parallelogram (Whole Numbers)
Perimeter and Area of a Parallelogram (Decimals)
Ex:  Area of a Trapezoid Using Whole Numbers
Determine the Perimeter and Area of a Trapezoid
Perimeter and Area of a Right Trapezoid
Determine the Area of a Triangle on a Grid
Determine the Area of an Obtuse Triangle on a Grid
Perimeter and Area of a Triangle with Decimals
Perimeter and Area of a Triangle with Mixed Numbers
Find the Length of  a Missing Side of a  Right Triangle and Perimeter and Area
Perimeter and Area of a Trapezoid with Decimals
Determine the Perimeter and Area of an Irregular Polygon
Find the Perimeter and Area of a L-Shaped Polygon Using Decimals
Ex:  Find the Area of an L-Shaped Polygon Involving Whole Numbers
Ex:  Area of a Triangle (Whole Numbers)
Ex: Find the Area of a Rectangle Given the Perimeter
Ex:  Area of a Trapezoid Using Mixed Numbers
Ex:  Determine the Area of a Rectangle Using Decimals
Ex:  Determine the Area of an L-shaped Polygon Using Decimals
Ex:  Determine the Area of a Rectangle Using Mixed Numbers
Ex:  Area of a Walkway Around a Rectangle
Ex:  Area of a Triangle Involving Fractions
Where Does the Area Formula For a Circle Come From?
Ex:  Determine the Area of a Circle
Ex:  Find the Area of a Ring or Area Between Two Circles
Ex:  Determine an Area Involving a Rectangle and Circle
Ex: Find the Interior Angles of a Triangle From Expressions For the Angles
Ex: Find the Perimeter of an L-shaped Polygon Involving Whole Numbers
Ex: Find the Area of a Rectangle Given the Perimeter
Ex: Using Decimals To Determine the Perimeter of a L-shaped Polygon
Ex:  Determine the Perimeter of a Rectangle using Mixed Numbers
Ex:  Determine the Circumference of a Circle
Area of a Circle Given the Diameter as  a Decimal
Ex:  Determine Perimeter Involving a Rectangle and Circle
Find the Area Inside a Square and Outside a Circle
Ex: Area of a Polygon by Decomposing Area (Triangle/Rectangle I)
Ex: Area of a Polygon by Decomposing Area (Triangle/Rectangle II)
Find the Area of an Irregular Shape (Semi Circle Plus Triangle)
Perimeter of a Rhombus Inscribed in a Rectangle Inscribed in a Circle
Ex:  Determine the Length of a Missing Side Given the Perimeter

Volume / Surface Area / Misc

Introduction to Volume (1)
Introduction to Volume (2)
Determine the Volume of a Rectangular Prism (Whole Numbers)
Determine the Volume of a Cube (Decimals)
Volume of Stairs: Decomposing Volume (Right Rectangular Prisms)
Ex:  Determine Volume of a Cone
Ex: Find the Surface Area of an Open Top Box
Find the Area of an Open Top Box
Ex: Volume of Pyramid
Find the Volume of a Cylinder
Volume of a Cylinder and a Pyramid
Find the Volume of a Sphere
Volume Between Two Spheres
Volume of the Empty Space in a Cubic Box with a Ball Inside
Determine the Percent of Volume of a Rectangular Pool (Box) 
Will It Fit? Water Bottles and Volume of a Cylinder
Ex: Find the Volume of a Sphere When the Radius is a Fraction with a Radical    
Ex: Determine the Surface Area of a Box (Right Rectangular Prism)
Determine the Surface Area of a Rectangular Prism (Whole Numbers)
Ex: Find the Surface Area of an Open Top Box
Find the Surface Area of an Open Top Box
Determine the Surface Area of a Cube (Decimals)
Find the surface Area of a Cylinder
Find the Surface Area of a Sphere

Geometric Applications

Ex: Builder's Level Application - Decimal Addition and Subtraction
Ex: Perimeter Application - Linear Feet of Baseboard Needed for a Room
Rectangle Perimeter Application:  Feet of Fencing Required
Perimeter Application: Perimeter With and Without Edge
Circumference Application:  Determine the Radius
Ex: Area Application - Area of an Inner Room with a Outer Footing
Application: Find the Radius of a Circle Given the Area

MEASUREMENT

American or Standard Units

American Unit Conversions
Household Measurements and Conversions
Non-Standard Unit Conversions (Unit Fractions)
Single Step Unit Conversion (US Standard  - Unit Fractions)
Single Step Unit Conversion Applications (US Standard - Unit Fractions)
Common Customary Length Conversions Using Unit Fractions
Common Customary Weight Conversions Using Unit Fractions
Convert Inches to Feet and Feet to Inches
Convert Fluid Ounces to Half-Gallons Using Unit Fractions and Proportions
Convert Gallons and Quarts to Cups: Lemonade
Add Pounds and Ounces (Basic)
Multi-Step Unit Conversions  (US Standard - Unit Fractions)
Convert Hours and Days to Seconds using Unit Fractions
Add and Subtract Time (Hours and Minutes)
Application: Subtract Hours and Minutes
Add and Subtract Gallons and Quarts
Ex:  Determine Square Yards from Square Feet Application
Convert Square Feet to Square Yards (Unit Fractions)
Ex:  Converting Between Different Units of Volume in Standard or American System
Ex:  Converting Between Different Units of Weight in Standard or American System
Convert Between Ounces and Grams Using a Unit Fraction
Ex:  Convert Between Different Units of  Lengths Using Standard or American System
Ex: Convert Feet Per Second to Miles Per Hour
Ex:  Convert Mile Per Hour to Feet Per Second
Ex: Convert Yards Per Second to Miles Per Hour
Ex: Unit Conversion / Proportion Application - Cost of Carpet
Unit Conversions of Area and Volume
Convert Area Units in Square Inches, Square Feet, and Square Yards
Determine Area in Square Inches and Square Feet
App: Determine a Volume of a Box in Cubic Inches and Cubic Feet
Determine Volume in Cubic Feet and Convert to Cubic Yards (Topsoil App)
Determine Volume in Cubic Feet and Cubic Yards (Conversion)

Currency Conversions

Convert U.S. Dollars to Euros Using a Unit Fraction
Convert Euros Per Liter to Dollar Per Gallon Using Unit Fractions
Converting Between Pesos and Dollars Using a Unit Fraction

Metric Units

Introduction to Metric Conversions
Metric Unit Conversions
Common Metric Length Conversions Using Unit Fractions
Common Metric Volume Conversions Using Unit Fractions
Common Metric Weight Conversions Using Unit Fractions
Compare Metric Units using Metric Conversions (Unit Fractions)
Convert Metric Units to US Standard Units (Unit Fractions)
Ex:  Converting Between Metric Units
Ex: Metric Conversions Using Unit Fractions - Length
Ex: Metric Conversions Using Unit Fractions - Volume / Capacity
Ex: Metric Conversions Using Unit Fractions - Weight

Converting Between Standard and Metric Units

American to Metric and Metric to American Conversions
Convert Between Inches and Centimeters Using a Unit Fraction
Convert Between Gallons and Liters Using a Unit Fraction
Ex:  Convert Lengths Between the Standard and Metric System
Ex:  Convert Weight Between the Standard and Metric System
Converting Between Meters and Feet Using a Unit Fraction
Ex:  Convert Volume Between the Standard and Metric System
Ex: Convert Height in Feet and Inches to Inches, Centimeters, and Meters
Convert Kiloliters to Quarts and Cups to Milliliters
Equations to convert between Celsius and Fahrenheit
Ex:  Convert Temperature from Celsius to Fahrenheit
Ex:  Convert Temperature from Fahrenheit to Celsius
Time Conversions
Convert Between Celsius and Fahrenheit Using an Equation
Convert Between Pounds and Kilograms Using a Unit Fraction

Unit Scale and Scale Factor

Unit Scale
Scale Factor
Proportion Applications: Map Scale Factor (Clear Fractions, No Cross Products)
Determine the Height of a Building Using a Scale Factor (Proportion)

VOTING THEORY

Introduction to Voting Theory and Preference Tables
Ex: Reading a Preference Table (Voting Theory)
Voting Theory:  Fairness Criterion
Voting Theory: Plurality Method and Condorcet Criterion
Ex: Determine the Least Number of Votes Needed Using the Plurality Method
Voting Theory:  Insincere Voting / Strategic Voting
Voting Theory: Instant Runoff Voting
Voting Theory: Monotonicity Criterion Using Instant Runoff Voting
Voting Theory:  Borda count
Voting Theory: Copeland's Method
Voting Theory:  Approval Voting

WEIGHTED VOTING

Introduction to Weighted Voting
Weighted Voting:  Coalitions and Critical Players
Weighted Voting:  The Banzhaf Power Index
Weighted Voting:  The Shapley-Shubik Power Index

FAIR DIVISION

Introduction to Fair Division
Fair Division: The Divider-Chooser Method
The Divider-Chooser Method of Fair Division – Why  It Is Meant Only for 2 Players
Fair Division:  The Lone Divider Method
The Lone Divider Method:  Why It Doesn't Pay To Be Greedy
Fair Division:  The Last Diminisher Method
Fair Division:  The Moving Knife Method
Fair Division:  The Sealed Bid Method

APPORTIONMENT

Introduction to Apportionment
Apportionment:  Hamilton's Method
Apportionment:  The Alabama Paradox
Apportionment:  The New States Paradox
Apportionment:  The Population Paradox
Apportionment:  Jefferson's Method
Apportionment:  Webster's Method
Apportionment:  Huntington-Hill Method
Apportionment:  Lowndes' Method

GRAPH THEORY

Introduction to Graph Theory
Graph Theory:  Dijkstra's Algorithm
Graph Theory:  Euler Paths and Euler Circuits
Graph Theory:  Fleury's Algorthim
Graph Theory:  Eulerization
Graph Theory:  Hamiltonian Circuits and Paths
Graph Theory:  The Brute Force Algorithm
Graph Theory: Number of Routes and Circuits of a Complete Graph
Graph Theory:  Nearest Neighbor Algorithm (NNA)
Graph Theory:  Repeated Nearest Neighbor Algorithm (RNNA)
Graph Theory: Sorted Edges Algorithm (Cheapest Link Algorithm)
Graph Theory: Spanning Trees
Graph Theory:  Kruskal's Algorithm

SCHEDULING

Introduction to Scheduling
Scheduling:  The List Processing Algorithm Part 1
Ex: Scheduling - Create a Priority List Using the Decreasing Time Algorithm
Ex: Scheduling - Create a Priority List Using the Critical Path Algorithm
Scheduling:  The List Processing Algorithm Part 2
Ex: Create a Schedule with Three Processors Using the List Processing Algorithm
Scheduling:  The Decreasing Time Algorithm
Ex: Create a Priority List and Schedule Using the Decreasing Time Algorithm and List Processing Algorithm
Scheduling:  The Critical Path Algorithm Version 1 (Part 1)
Scheduling:  The Critical Path Algorithm Version1 (Part 2)
Scheduling:  The Back Flow Algorithm Part 1
Scheduling:  The Back Flow Algorithm Part 2

GROWTH

Linear Growth:  Recursive and Explicit Equations Part 1
Linear Growth:  Recursive and Explicit Equations Part 2
Ex: Find an Explicit Equation for Linear Growth and Determine and Input for An Output
Ex:  Write an Explicit Equation to Model Linear Growth
Ex: Write a Recursive and Explicit Equation to Model Linear Growth
Exponential Growth:  Recursive and Explicit Equations Part 1
Exponential Growth:  Recursive and Explicit Equations Part 2
Ex: Find an Recursive and Explicit Equation for Exponential Growth Given r
Compare Linear and Exponential Growth Using Recursive and Explicit Equations
Introduction to Exponential Equations in Two Variables
Complete a Table of Values for an Exponential Equation in Two Variables
Evaluate Exponential Functions:  Base 3 and 1/3
Evaluate Exponential Functions:  Base e
Write Exponential Equations Given Initial Values and Growth or Decay Rate
Write Exponential or Linear Equations to Model the Value of an Investment (Level 1)
Write Exponential or Linear Equations to Model a Population (Level 2)
Determine the Initial Value and Percent Rate of Change from an Exponential Equation
Write an Exponential Equation that Models a Decreasing Population (Fox)
Write an Exponential Equation to Model Wage Percent Increase over Years
Write an Exponential Equation to Model an Account Balance Over Years
Write an Exponential Equation to Model World Population Growth
Determine if Equations Are Linear or Exponential and Increasing or Decreasing
Interpret an Exponential Equation Modeling Depreciation
Interpret an Exponential Equation Modeling Rising Home Value
Compare Exponential Equations Modeling Account Values
Solving Exponential Equations for Time using Common Logs
Logistic Growth: Recursive Equations
Logistic Growth:  Overshoot and Collapse

Finance: Simple and Compounded Interest

The Simple Interest Formula
Ex: Determine an Account Balance Using Simple Interest
Complete a Simple Interest Table Over 5 Years
Simple Interest: Find a Deposit Needed for a Balance in the Future
Simple Interest: Determine Doubling Time
Simple Interest: Determine the Interest Rate Needed for Doubling an Investment
Compounded Interest
Compare Simple Interest and Interest Compounded Annually
Compare Simple Interest and Interest Compounded Annually, Quarterly, and Monthly
Compounded Interest Table: Monthly Over 5 Months
Ex 1: Compounded Interest Formula – Quarterly
Ex: Compounded Interest Formula - Determine Deposit Needed (Present Value)
Lesson: Solving Compounded Interest Problems Using a TVM Solver
Compounded Interest Problems Using a TVM Solver: Solving for Time
Compounded Interest Problems Using a TVM Solver: Solving for Interest Rate
Account Balance and Interest Earned with Simple and Compounded Interest
Compounded Interest: Solve for Principal (Present Value)
Ex: TI84 TVM Solver - Present Value with Compounded Interest
Annual Percentage Yield (APY) Using a Formula (Monthly)
Annual Percentage Yield (APY) Using the TVM Solver on the TI-84 (Monthly)
Annual Percentage Yield (APY) Using a Formula (Quarterly)
Annual Percentage Yield (APY) Using the TVM Solver on the TI-84 (Quarterly)
Effective Yield for Compounded Interest
Compounded Interest (Slightly Different Form of Equation): Find Future Value
Effective Yield for Continuous Interest
Effective Interest Rate (Effective Yield)
Solving Exponential Equations for Time using Common Logs
Ex 2: Compounded Interest with Logarithms

Finance:  Annuities and Loans

Complete a Saving Table with Monthly Deposits and Compounded Interest
Determine the Total Return of an Investment as  Percent
Complete a Loan Table with Compounded Interest and Payments
Table Showing Monthly Credit Card Balance with Purchases
Derive the Value of an Annuity Formula
Determining the Value of an Annuity
Determine the Value of an Annuity with a TI84
Account Value of Saving Annuity Then Compounded Interest (Formulas)
Account Value of Saving Annuity Then Compounded Interest (TI-84 TVM Solver)
Initial Deposit Needed with Deposits to Reach a Financial Goal (TI-84 TVM Solver)
Determine the Interest Rate of a Savings Annuity (TI-84 TVM Solver)
Compare Saving Annuity and Then Compounded Versus Straight Saving Annuity (TI-84 TVM Solver)
Problem Solving with the TVM Solver: Future Retirement Question (Initial and Yearly Deposits)
Determine Monthly Deposit Needed Given Future Value of Savings Annuity (Formula)
Determine the Future Value of a Savings Annuity (Annual)
Determine the Future Value of a Savings Annuity and Interest Earned (Monthly)
Determine Monthly Deposit Needed Given Future Value of Savings Annuity (TI-84 TVM Solver)
Payout Annuity Formula - Part 1
Payout Annuity Formula - Part 2
Determine Present Value of a Payout Annuity (Formula)
Determine the Monthly Payment of a Payout Annuity (Formula)
Find Present Value of a Payout Annuity and Then Payments to Reach Goal (TI-84 TVM Solver)
The Installment Loan Formula
The Installment Loan Formula:  Determining Remaining Balance
Determine the Number of Months to Pay off a Loan (TI-84 TVM Solver)
Determine a Loan Amount Given a Down Payment of a Certain Percent
Find Payment, Total Cost, and Total Interest of a Loan with Down Payment
Remaining Loan Balance Formula (Car Loan)
Annuity Formula and Loan Formula:  Solving for Time
Determine a Max Home Loan Given a Monthly Payment (Formula)
Determine a Max Home Loan Given a Monthly Payment (TI-84 TVM Solver)
Find Total Paid for a  House Given Percent Down, Monthly Payment, and Length
Determine a Max Car Loan Given a Monthly Payment (Formula)
Determine a Max Car Loan Given a Monthly Payment (TI-84 TVM Solver)
Determine a Monthly Car Payment From the Loan Amount (Loan Formula)
Determine a Monthly Car Payment From the Loan Amount (TI-84 TVM Solver)
Compare Mortgage Payments at Two Different Interest Rates (Formula)
Compare Mortgage Payments at Two Different Interest Rates (TI-84 TVM Solver)
Remaining Loan Balance After Different Years (TI-84 TVM Solver)
Find Monthly Loan Payment and Total Cost of a Home Purchase (TI-84 TVM Solver)
Ex: TI84 TVM Solver - Find the Present Value of a Loan Given Monthly Payment
TI84 TVM Solver - Find Present Value of an Payout Annuity
Ex: TI84 TVM Solver - Find Payout Annuity Monthly Payment Given Present Value
Ex: TI84 TVM Solver - Find a Monthly Loan Payment
Ex: TI84 TVM Solver - Future Value with Compounded Interest
Ex: TI84 TVM Solver - Find Annuity Monthly Payment Needed for Given Future Value
Ex 1: TI84 TVM Solver - Future Value of an Annuity
Ex 2: TI84 TVM Solver - Future Value of an Annuity
Free Online TVM Solver: What Price of a Car Can You Afford?
Free Online TVM Solver: Balance of a Savings Annuity at Retirement

STATISTICS

Introduction to Statistics
Statistics:  Sampling Methods
Statistics Control Groups and the Placebo Effect
Statistics:  Introduction to Experiments and Confounding
Statistics:  Sources of Bias
Statistics: Collecting Data Exercises

DESCRIBING DATA

Describing Categorical Data Using a Bar Graph, Pareto Chart, Pie Chart, and Pictogram
Statistics: Introduction to the Shape of a Distribution of a Variable
Describing Quantitative Data Using a Histogram
Dot Plots, Histograms, and Box Plots Using Demos
Describing Quantitative Data Using Mean, Median, and Mode
Determine the Mode from a Frequency Table
Ex: Find the Mean and Median of a Data Set Given in a Frequency Table (odd)
Ex: Find the Mean and Median of a Data Set Given in a Frequency Table (even)
Describing Quantitative Data:  Range and Standard Deviation
Find the Mean and Standard Deviation of a Binomial Distribution (Desmos)
Determine Absolute Error and Percent Error
Describing Quantitative Data:  Quartiles and the Five Number Summary
Determine the Possible Minimum and Maximum from a Histogram
Determine the Sample Size From a Histogram
Determine the Sample Size and Size of a Subset Using a Bar Graph
Determine Frequencies of Subsets from a Histogram
Introduction to Percentiles
Determine the Percent of Data and Number of Values Below and Above a Percentile
Determine the Percent of Data at or Above and at or Below a Percentile
Find a Percentile of a Given Data Set (Average Method)
Determine the Percent of Data an Number of Values Below and Above a Quartile
Ex: Mode, Mid-range, Range, Standard Deviation Using Range Rule of Thumb
Ex:  Complete a Frequency Table
Determine the Relative Frequency from a Frequency Table
Ex:  Find the Sample Size and Percent of Sample From a Bar Graph
Ex:  Make a Prediction using the Sample Statistic (Marbles)
Ex:  Determine a Sample Statistics and Make a Prediction using the Statistic
Ex:  Find the Percent of an Amount Using a Percent in Pie Chart
Ex:  Find the a Percent of a Total Using  an Amount in Pie Chart
Describing Quantitative Data using a Box Plot
Ex 1:  Compare Two Box Plot Values
Ex 2:  Compare Two Box Plot Values
Ex:  Determine the Percent Below a Quartile Using a Box Plot
Ex: Determine a Five Number Summary (Odd)
Ex: Determine a Five Number Summary (Even)
Ex: Determine the Five Number Summary from a Box Plot
Determine Outliers on the TI-84
Determine Outliers by Hand (Odd)
Determine Outliers by Hand (Even)
Determine Five-Number Summary, Outliers, and Create a Box Plot on TI-84
Determine Five-Number Summary, Outliers, and Create a Box Plot (Odd)
Determine Five-Number Summary, Outliers, and Create a Box Plot on (Even)
Creating Box Plots on the TI-84
Ex:  Interpret the Mean and Standard Deviation of Two Data Sets
Ex: Calculate the Sample Standard Deviation
TI84 One Variable Statistics Overview
TI84 One Variable Statistics Overview with Frequency Table
TI84 One Variable Statistics - Five Number Summary
TI84 One Variable Statistics - Mean
TI84 One Variable Statistics - Mean and Median
TI84 One Variable Statistics - Mean and Median Using  a Frequency Table
TI84 One Variable Statistics - Standard Deviation
TI84 One Variable Statistics - Standard Deviation From a Frequency Table
Determine the Mean, Median, Mode, and Range of a Data Set
Mean, Median, Standard Deviation, Min, Max, and Range on the TI84
One Variable Statistics Using Desmos
One Variable Statistics Using a Free Online App (MOER/MathAS)

Normal Distribution / Sampling Distribution and Estimations

Distribution, Mean, Median, Mode, Range and Standard Deviation Lesson
Quartiles, Five Number Summary, Box Plot, and Percentiles Lesson
Normal Distribution and Empirical Rule With Lesson
Z-scores, Standard Normal Distribution and Percentages/Area on the TI-84 Lesson
Introduction to the Normal Distribution
Order Graphs of a Normal Distribution by Standard Deviation
Normal Distribution: Mean, Median, Mode, and Standard Deviation From Graph
Normal Distribution: Use the Empirical Rule to Find Percentages from Graph
Normal Distribution: Use the Empirical Rule to Find Area from Graph
Normal Distribution: Use the Empirical Rule to Find Number of Students with Test Scores
Normal Distribution: Give an Area to Left/Right, Find the Area to the Right/Left
Complete a Normal Distribution Graph Given Mean and Standard Deviation
Complete a Normal Distribution Graph and Apply the Empirical Rule (exam times)
Normal Distribution: Use the Empirical Rule to Find Percent of Scores Less Than Or Equal to X
Ex 1: Normal Distribution - Use the Empirical Rule
Ex 2: Normal Distribution - Use the Empirical Rule
Ex 1A (Norm Dist)  Use the 68-95-99.7 Rule to Find the Percent of Data Between Given Data Values
Ex 1B (Norm Dist)  Use the TI84 to Find the Percent of Data Between Given Data Values
Ex 2A (Norm Dist)  Use the 68-95-99.7 Rule to Find the Percent of Data Between Given Data Values
Ex 2B (Norm Dist)  Use the TI84 to Find the Percent of Data Between Given Data Values
Normal Distribution:  Z-Scores
Introduction to the Standard Normal Distribution
Standard Normal Distribution: Relate Standard Deviation to Z-scores
Standard Normal Distribution: Find a Z Score and a Data Value (Dog Weights)
Normal Distribution: Find a Z Score and a Data Value (General)
Normal Distribution: Find Probabilities Given Z-scores Using Table (Left of Z-score)
Normal Distribution: Find Probabilities Given Data Values Using Table (Left of Z-score)
Normal Distribution:  Find Probability Using With Z-scores Using the TI84
Normal Distribution:  Find Probability Using With Z-scores Using Tables
Normal Distribution:  Find Probability of Data Values Using the TI84
Normal Distribution:  Find Probability of Data Values Using Tables
Ex 1:  Find the Probability of a Z-score Being Less Than a Given Value on a Newer TI84
Ex 2:  Find the Probability of a Z-score Being Greater  Than a Given Value on a Newer TI84
Ex 3:  Find the Probability of a Z-score Being Between Two Z-score on a Newer TI84
Ex 1:  Find a Z-score Given the Probability of Z Being Less Than a Given Value
Ex 2:  Find a Z-score Given the Probability of Z Being Greater Than a Given Value
Ex 1: Find a Probability Given a Data Value Involving a Normal Distribution -  P(x<n) TI84
Ex 2: Find a Probability Given a Data Value Involving a Normal Distribution -  P(x>n) TI84
Ex 3: Find a Probability Given a Data Value Involving a Normal Distribution -  P(m<x<n) TI84
Ex 1: Find a Data Value Given a Probability Involving a Normal Distribution - TI84
Ex 2: Find a Data Value Given a Probability Involving a Normal Distribution - TI84
Normal Distribution: Find Area Under Curve  Using the TI-84 (General)
Normal Distribution Application: Find Area Under Curve Using the TI-84 (Rainfall Probabilities)
Normal Distribution: Find Percent Between Greater Than, Less Than (TI-84)
Normal Distribution: Number of Data Values Between, Greater Than, Less Than Given Values (TI-84)
Find Area Under a Normal Distribution Curve Using a Free Online Tool (MOER/MathAS)
Normal Distribution: Find Probability Given Data Values Using a Free Online App (MOER/MathAS)
Normal Distribution: Find Probability Given Data Values Using a Free Online Calculator (onlinestatbook.com)
Normal Distribution: Find Probability Given Z-scores Using a Free Online Calculator (MOER/MathAS)
Normal Distribution: Find Probability Given Z-scores Using a Free Online Calculator (onlinestatbook.com)
Normal Distribution: Find Probability Given IQ scores Using a Free Online App (MOER/MathAS)
Normal Distribution: Find the Number of a Sample with Given Weights Using a Free Online App (MOER/MathAS)
Normal Distribution: Find Percent of Days with  Given Rainfall Using a Free Online App (MOER/MathAS)
Normal Distribution: Find Probability Given Data Values Using Desmos
Normal Distribution: Find Probability Given Z-scores Using Desmos
Normal Distribution: Find Probability Given Z-scores Using a Free Online Calculator
Normal Distribution: Find Probability Given Data Values Using a Free Online Calculator
Normal Distribution: Use Desmos Find a Z-score Given Area Under to the Right
Normal Distribution: Use Desmos Find a Data Value that Corresponds to a Percentile
Normal Distribution: Use Desmos Find a Data Value that Corresponds to a Probability

BINOMIAL DISTRIBUTION

Graph a Binomial Distribution and Find Probabilities Using Desmos (Definition)
Graph a Binomial Distribution and Find Probabilities Using Desmos
Complete a Binomial Distribution Table and Find Probabilities  (By Hand)
Determine Binomial Probabilities Using Formulas: P(x=k)
Determine Binomial Probabilities Using the TI-84: P(x=k)
Determine Binomial Probabilities Using the TI-84: P(x=k), P(x<=k), P(x>=k)
Determine Binomial Probabilities Using Desmos P(x=k)
Determine Binomial Probabilities Using Desmos: P(x=k), P(x<=k)
Determine Binomial Probabilities of One Color from a Multinomial Probability Distribution
Find a Probability of a Binormal Distribution (Survival from Disease)
Find Probabilities of a  Binormal Distribution (Coin Tosses)
Introduction to Multinomial Probabilities

PROBABILITY

Introduction to Probability Lesson
Introduction to Probability
Ex:  Basic Example of Finding Probability - Running a Red Light
Ex:  Basic Example of Finding Probability From a Table
Probability from a Table: Grades and Gender
Ex: Basic Probability Review Using Marbles
Probability Using 3 Colored and Numbered Marbles
Determine Basic Probability with Three Different Colored Marbles
Ex: Find Basic Probabilities When Rolling One Fair Die
Ex: Find Basic Probabilities Using a Deck of Cards
The Probability of a Roulette Wheel
Probability of Selecting a Card from a Deck of Playing Cards
Probability of Select a Letter, Consonant, and Vowel from a Sentence
Determine Probability from a Venn Diagram with Cardinality
Determine the Probability of the Complement of an Event (Percent)
Probability:  The Probability of the Complement of an Event
Probability:  The Probability of Independent Events
Probability of Independent Events:  Weather

And, Or, and Conditional Probability Lesson
Counting, Permutations, Combinations, and Probability Lesson
Probability of Two Independent Events: Two Rolls of a Fair Die
Probability of Two Independent Events: Socks and Shirts
Probability:  Determine the Probability of the Union of Events
Probability:  Probability of Mutually Exclusive Events
"OR" Probability with Cards: Mutually Exclusive and Not - No Formulas
"OR" Probability with Cards: Mutually Exclusive and Not - Formulas
Determine P(A or B) Given Other Probabilities as Decimals
Introduction to Probability With and Without Replacement
Probability With and Without Replacement: Marbles
Probability With and Without Replacement:  Draw 2 cards, One at a Time
Probability with Rolling Two Dice: And , Or (No Formulas)
Probability Without Replacement (Dependent):  Selecting Students in Order
Conditional Probability Without Replacement:  Draw 2 Cards, One at a Time
Conditional Probability of a Second Roll on a Fair Die Given a First Roll (Independent)
Probability:  Probability of Events Not Mutually Exclusive
Determine Probability from a Venn Diagram (Basic, And, Or, Complement)
Ex: Determine a Probability with AND using a Table
Ex: Determine the Probability of a Union Using a Table (Not Mutually Exclusive - No Formula)
Ex: Determine the Probability of the Union of Two Events (OR)
Ex: Determine the Probability of a Union Using a Table (Not Mutually Exclusive)
Ex: Find the Probability of a Complement Using a Table
Ex: Find the Probability of Dependent Events Two Ways
Ex 2: Find the Probability of Dependent Events
Introduction to Conditional Probability
Ex: Find Conditional Probability Using a Table
Conditional Probability Using a Table:  Pass a Course and Doing Homework

Find P(notB|notA) Given P(A), P(B), P(A and B) (Venn Diagram)
Conditional Probability with Marbles
Conditional, AND, and OR Probability Using a Table: Car Color and Tickets
Ex: Determine Conditional Probability from a Table
Conditional Probability Using a Table: Pregnancy Test
Conditional Probability Using a Venn Diagram: Dance Categories
Basic and Conditional Probability Using a Table: Car Color and Tickets
Probability Mixed Review:  Bingo (Conditional, And, OR, and NOT)
Probability:  Bayes’ Theorem
Conditional Probability Using a Table and Bayes' Theorem: Insurance
Conditional Probability Using a Table and Bayes' Theorem: Hospital Visits
Conditional Probability: Bayes’ Theorem – Disease Testing (Table and Formula)
The Counting Principle
The Counting Principle: Cars, Outfits, and Pizza
The Counting Principle: License Plates, Tests, Codes
Probability: The Counting Principle and Dependent Events
Counting: The Number of 4 Letter Codes from 6 Letters with Various Conditions
Counting: The Number of 5 Letter Passwords With and Without Repetition
Probability of 6 Letters With No Repetition
Probability of 3 letters With No Repetition are Vowels
Simplifying Factorial Expressions
Permutations
Combinations
Permutation Examples
Combination Examples
Evaluate Factorials, Permutations, and Combinations Using a Free Online Tool (MOER/Mathas)
Evaluate Factorials, Permutations, and Combinations Using a Free Online Calculator
Factorials, Permutations and Combinations on the Desmos Scientific Calculator
Evaluate Factorials, Permutations, and Combinations Using Desmos
Combinations: The Number of 3 Member Committees from 34 People
Counting: Find the Number of 5 1 Digit Number Picks (Perm and Comb)
Counting Problems
Probability of 4 letters With No Repetition are Vowels
Probability of 3 letters With Repetition are Vowels
Probability a 5 Digit PIN has No Repeated Digits
Probability:  Determining Probability Using Combinations
Determining Probability with Combinations
Probability with Combinations
Probability of Drawing Two Hearts (Combinations and Conditional)
Probability of Drawing Two Aces (Combinations and Conditional)
Probability of Drawing Two Face Cards (Combinations and Conditional)
Probability of 5 Card Hands Using Combinations: Part 1
Probability of 5 Card Hands Using Combinations: Part 2
Conditional, AND, and OR Probability Using a Table: Car Color and Tickets
Probability of Male/Female Committee Members Using Combinations

Expected Value Lesson
Expected Value
Ex: Expected Value
Expected Value: Life Insurance
Expected Value:  Raffle
Expected Value of a Discrete Probability Distribution
Find Probabilities and Expected Value of a Discrete Probability Distribution
Find a Probability of a Binormal Distribution (Survival from Disease)
Find Probabilities of a  Binormal Distribution (Coin Tosses)

Introduction to Odds Lesson
Ex: Determine Odds from Given Information (Basic)
Ex: Determine Probability Given Odds
Odds of a Roll when Rolling a Single Die
Find Probability from Odds
Probability and Odds of Selecting a Card Face from a Deck of Playing Cards
Determine Odds of a Roulette Wheel
Determine the Complement and Odds of an Event Given Probability (Decimal)
Determine the Complement and Odds of an Event Given Probability (Percent)

HISTORICAL COUNTING SYSTEMS

Inca Counting Boards
The Inca Quipu
Convert Numbers in Different Bases to Base Ten
Ex: Convert Base-12 to Base-10
Convert Numbers in Base Ten to Different Bases:  Remainder Method
Convert Numbers in Base Ten to Different Bases:  Calculator Method
Convert a Base-10 Number to Base 12
Convert a Base-10 Number to Base-60
Convert a Base-10 Number to a Decimal to Base-60
Convert a Base-12 Number to Base-10
Convert a Base-60 Number to Base-10
Convert a Base-60 Number to Base-10 with a Decimal
The Mayan Number System: Writing Mayan Number in Base 10
The Mayan Number System: Writing Base 10 Numbers as Mayan Number (base 20)
The Mayan Number System: Addition of Mayan Numbers

CRYPTOGRAPHY

Cryptograph: Substitution Cipher (Caeser Cipher)
Cryptography: Transposition Cipher
Cryptography: Caesar Cipher With Shift
Modular Arithmetic

SETS

Sets and Venn Diagrams In Class Exercises
Introduction to Set Theory
Finite and Infinite Sets
Introduction to Subsets
Sets: Elements Of and Subsets
Determining Subsets Using a Venn Diagram
Determine the Cardinality of Sets From a List of Set
Set Operations and Venn Diagrams - Part 1 of 2
Set Operations and Venn Diagrams - Part 2 of 2
Solving Problems Using Venn Diagrams
Ex: Find the Union and Intersection of Two Sets Using a Venn Diagram
Ex: Find the Union and Intersection of Two Sets Without a Venn Diagram
Ex: Find the Intersection of a Set and A Complement Using a Venn Diagram
Ex: Find Intersections and Unions of Three Sets Using a Venn diagram (short)
Ex: Find Intersections and Unions of Three Sets Without Using a Venn diagram (short)
Ex: Find Intersections and Unions of Three Sets Using a Venn diagram (long)
Ex: Find Intersections and Unions of Three Sets Without Using a Venn diagram (long)
Ex: Determine Cardinality of the Intersection of Two Sets Using a Venn Diagram
Ex: Determine Cardinality of the Intersection of Two Sets Without Using Venn Diagram
Ex: Determine Cardinality of Various Sets Given a Venn Diagram of Three Sets
Ex: Determine Cardinality of the Intersection of Three Sets Using a Venn Diagram
Ex: Determine Cardinality of the Intersection of Three Sets Without Using Venn Diagram
Problem Solving with Venn Diagrams: Cardinality of a Universal Set
Use a Venn Diagram to Determine the Cardinality of a Set: n(not C and not D)
Ex:  Find the Number of Element in the Intersection of Two Sets Using a Venn Diagram
Ex: Set Problem Solving - Find the Number of Element in the Intersection of Two Sets Using a Formula
Ex 1: Set Problem Solving - Find the Number of Element in the Union of Two Sets Using a Venn Diagram
Ex 1: Set Problem Solving - Find the Number of Element in the Union of Two Sets Using a Formula
Ex 2:  Find the Number of Element in the Union of Two Sets Using a Venn Diagram
Ex 2: Set Problem Solving - Find the Number of Element in the Union of Two Sets Using a Formula
Ex: Determine How Many Elements in a Set With a Venn Diagram (Movies)
Ex: Determine How Many Elements in a Set Without a Venn Diagram (Movies)
Ex 1:  Problem Solving With Venn Diagrams (Cardinality of Intersection)
Ex 2:  Problem Solving With Venn Diagrams (Cardinality of A Intersect B Complement)
Ex 3:  Problem Solving With Venn Diagrams (Cardinality of Complement of (A Union B)
Ex 4:  Problem Solving With Venn Diagrams (Cardinality of A Intersect B Complement)
Determine the Number Elements in a Set From a Venn Diagram
Use a Venn diagram to Determine Cardinality of Sets (Level 1)
Use a Venn diagram to Determine Cardinality of Sets (Level 2)
Find Complement, Union, and Intersection of 2 Sets as Lists
Find the Intersections and Union of Three Sets as Lists
Venn Diagrams and Percentages: Survey Results Social Media
Venn Diagrams and Cardinality: Tea or Coffee Survey Results
Determine Cardinality of Sets Using a Venn Diagram
Determine Cardinality of Sets Using a Completed Venn Diagram: 3 Subjects
Determine Cardinality of Sets Using a Completed Venn Diagram: Vehicles
Determine the Cardinality of an Intersection of Two Sets
Complete a Venn Diagram With Cardinality: Math, English, History
Complete a Venn Diagram With Cardinality: Brand, Color, Size
Complete a Venn Diagram From Survey:  Coffee and Tea
Determine the Cardinality of an Universal Set Using a Venn Diagram
Determine the Cardinality of a Set Given Cardinality of Union and Intersection

Logic

If-Then Statements and Converses
The Converse, Contrapositive, and Inverse of an If-Then Statement
Truth Tables for Compound Statements
Truth Tables for Conditional Statements
Truth Table for the Biconditional Statement
Truth Tables:  Showing Statements are Equivalent

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