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

Annual Rate of Return Need for Loss Recover and Additional Return on Investment

Determine the Annual Rate of Return Needed to Breakeven and Reach a Financial Goal After a Loss (1 Year Recover)

Determine the Annual Rate of Return Needed to Breakeven and Reach a Financial Goal After a Loss (2 Year Recover)

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