Online courses directory (381)

Not all things with four sides have to be squares or rectangles! We will now broaden our understanding of quadrilaterals!. Quadrilateral Overview. Quadrilateral Properties. Proof - Opposite Sides of Parallelogram Congruent. Proof - Diagonals of a Parallelogram Bisect Each Other. Proof - Opposite Angles of Parallelogram Congruent. Proof - Rhombus Diagonals are Perpendicular Bisectors. Proof - Rhombus Area Half Product of Diagonal Length. Area of a Parallelogram. Whether a Special Quadrilateral Can Exist. Rhombus Diagonals. Quadrilateral Overview. Quadrilateral Properties. Proof - Opposite Sides of Parallelogram Congruent. Proof - Diagonals of a Parallelogram Bisect Each Other. Proof - Opposite Angles of Parallelogram Congruent. Proof - Rhombus Diagonals are Perpendicular Bisectors. Proof - Rhombus Area Half Product of Diagonal Length. Area of a Parallelogram. Whether a Special Quadrilateral Can Exist. Rhombus Diagonals.

Indefinite integral as anti-derivative. Definite integral as area under a curve. Integration by parts. U-substitution. Trig substitution. Antiderivatives and indefinite integrals. Indefinite integrals of x raised to a power. Antiderivative of hairier expression. Basic trig and exponential antiderivatives. Antiderivative of x^-1. Simple Riemann approximation using rectangles. Generalizing a left Riemann sum with equally spaced rectangles. Rectangular and trapezoidal Riemann approximations. Trapezoidal approximation of area under curve. Riemann sums and integrals. Deriving integration by parts formula. Antiderivative of xcosx using integration by parts. Integral of ln x. Integration by parts twice for antiderivative of (x^2)(e^x). Integration by parts of (e^x)(cos x). U-substitution. U-substitution example 2. U-substitution Example 3. U-substitution with ln(x). Doing u-substitution twice (second time with w). U-substitution and back substitution. U-substitution with definite integral. (2^ln x)/x Antiderivative Example. Another u-substitution example. Riemann sums and integrals. Intuition for Second Fundamental Theorem of Calculus. Evaluating simple definite integral. Definite integrals and negative area. Area between curves. Area between curves with multiple boundaries. Challenging definite integration. Introduction to definite integrals. Definite integrals (part II). Definite Integrals (area under a curve) (part III). Definite Integrals (part 4). Definite Integrals (part 5). Definite integral with substitution. Introduction to trig substitution. Another substitution with x=sin (theta). Integrals: Trig Substitution 1. Trig and U substitution together (part 1). Trig and U substitution together (part 2). Trig substitution with tangent. Integrals: Trig Substitution 2. Integrals: Trig Substitution 3 (long problem). Fundamental theorem of calculus. Applying the fundamental theorem of calculus. Swapping the bounds for definite integral. Both bounds being a function of x. Proof of Fundamental Theorem of Calculus. Connecting the first and second fundamental theorems of calculus. Introduction to improper integrals. Improper integral with two infinite bounds. Divergent improper integral. Antiderivatives and indefinite integrals. Indefinite integrals of x raised to a power. Antiderivative of hairier expression. Basic trig and exponential antiderivatives. Antiderivative of x^-1. Simple Riemann approximation using rectangles. Generalizing a left Riemann sum with equally spaced rectangles. Rectangular and trapezoidal Riemann approximations. Trapezoidal approximation of area under curve. Riemann sums and integrals. Deriving integration by parts formula. Antiderivative of xcosx using integration by parts. Integral of ln x. Integration by parts twice for antiderivative of (x^2)(e^x). Integration by parts of (e^x)(cos x). U-substitution. U-substitution example 2. U-substitution Example 3. U-substitution with ln(x). Doing u-substitution twice (second time with w). U-substitution and back substitution. U-substitution with definite integral. (2^ln x)/x Antiderivative Example. Another u-substitution example. Riemann sums and integrals. Intuition for Second Fundamental Theorem of Calculus. Evaluating simple definite integral. Definite integrals and negative area. Area between curves. Area between curves with multiple boundaries. Challenging definite integration. Introduction to definite integrals. Definite integrals (part II). Definite Integrals (area under a curve) (part III). Definite Integrals (part 4). Definite Integrals (part 5). Definite integral with substitution. Introduction to trig substitution. Another substitution with x=sin (theta). Integrals: Trig Substitution 1. Trig and U substitution together (part 1). Trig and U substitution together (part 2). Trig substitution with tangent. Integrals: Trig Substitution 2. Integrals: Trig Substitution 3 (long problem). Fundamental theorem of calculus. Applying the fundamental theorem of calculus. Swapping the bounds for definite integral. Both bounds being a function of x. Proof of Fundamental Theorem of Calculus. Connecting the first and second fundamental theorems of calculus. Introduction to improper integrals. Improper integral with two infinite bounds. Divergent improper integral.

The Art of Our Time. Bacon, Triptych - August 1972. Freud, Standing by the Rags. Diane Arbus, Boy with a Toy Hand Grenade. William Eggleston, Red Ceiling, or Greenwood, Mississippi, 1973. Ed Kienholz and Nancy Reddin Kienholz Useful Art #5: The Western Hotel, 1992. Warhol, Gold Marilyn Monroe. Warhol, Campbell's Soup Cans. Oldenburg, Floor Cake. Lichtenstein, Rouen Cathedral Set V. Gerhard Richter, Betty. Gerhard Richter, The Cage Paintings (1-6). Gerhard Richter, September. Donald Judd, Untitled. Dan Flavin, Untitled (To Donna) II. Smithson, Spiral Jetty. Hesse, Untitled. Hesse, Untitled (Rope Piece), 1970. Chicago, Pasadena Lifesaver, Blue Series, No. 4 & Benglis, Omega. Winsor, #1 Rope. Joseph Beuys, Table with Accumulator. John Baldessari, I Will Not Make Any More Boring Art. Hans Haacke's Seurat's 'Les Poseuses' (small version). Interpreting Contemporary Art. Colescott, Beauty is in the Eye of the Beholder. Sherman, Untitled Film Still #21. Sherrie Levine, Untitled (After Edward Weston, ca. 1925). The Art of Our Time. Bacon, Triptych - August 1972. Freud, Standing by the Rags. Diane Arbus, Boy with a Toy Hand Grenade. William Eggleston, Red Ceiling, or Greenwood, Mississippi, 1973. Ed Kienholz and Nancy Reddin Kienholz Useful Art #5: The Western Hotel, 1992. Warhol, Gold Marilyn Monroe. Warhol, Campbell's Soup Cans. Oldenburg, Floor Cake. Lichtenstein, Rouen Cathedral Set V. Gerhard Richter, Betty. Gerhard Richter, The Cage Paintings (1-6). Gerhard Richter, September. Donald Judd, Untitled. Dan Flavin, Untitled (To Donna) II. Smithson, Spiral Jetty. Hesse, Untitled. Hesse, Untitled (Rope Piece), 1970. Chicago, Pasadena Lifesaver, Blue Series, No. 4 & Benglis, Omega. Winsor, #1 Rope. Joseph Beuys, Table with Accumulator. John Baldessari, I Will Not Make Any More Boring Art. Hans Haacke's Seurat's 'Les Poseuses' (small version). Interpreting Contemporary Art. Colescott, Beauty is in the Eye of the Beholder. Sherman, Untitled Film Still #21. Sherrie Levine, Untitled (After Edward Weston, ca. 1925).

If you can take one figure and flip, shift and rotate (not resize) it to be identical to another figure, then the two figures are congruent. This topic explores this foundational idea in geometry. Congruent Triangles and SSS. SSS to Show a Radius is Perpendicular to a Chord that it Bisects. Other Triangle Congruence Postulates. Two column proof showing segments are perpendicular. Finding Congruent Triangles. Congruency postulates. More on why SSA is not a postulate. Perpendicular Radius Bisects Chord. Congruent Triangle Proof Example. Congruent Triangle Example 2. Congruent triangles 1. Congruent triangles 2. Congruent legs and base angles of Isosceles Triangles. Equilateral Triangle Sides and Angles Congruent. Equilateral and Isosceles Example Problems. Triangle types. Triangle angles 1. Another Isosceles Example Problem. Example involving an isosceles triangle and parallel lines. Figuring out all the angles for congruent triangles example. Basic Triangle Proofs Module Example. Basic Triangle Proofs Module Example 2. Basic triangle proofs. Fill-in-the-blank triangle proofs example 1. Fill-in-the-blank triangle proofs example 2. Fill-in-the-blank triangle proofs. Wrong statements in triangle proofs example 1. Wrong statements in triangle proofs. Problem involving angle derived from square and circle. Congruent Triangles and SSS. SSS to Show a Radius is Perpendicular to a Chord that it Bisects. Other Triangle Congruence Postulates. Two column proof showing segments are perpendicular. Finding Congruent Triangles. Congruency postulates. More on why SSA is not a postulate. Perpendicular Radius Bisects Chord. Congruent Triangle Proof Example. Congruent Triangle Example 2. Congruent triangles 1. Congruent triangles 2. Congruent legs and base angles of Isosceles Triangles. Equilateral Triangle Sides and Angles Congruent. Equilateral and Isosceles Example Problems. Triangle types. Triangle angles 1. Another Isosceles Example Problem. Example involving an isosceles triangle and parallel lines. Figuring out all the angles for congruent triangles example. Basic Triangle Proofs Module Example. Basic Triangle Proofs Module Example 2. Basic triangle proofs. Fill-in-the-blank triangle proofs example 1. Fill-in-the-blank triangle proofs example 2. Fill-in-the-blank triangle proofs. Wrong statements in triangle proofs example 1. Wrong statements in triangle proofs. Problem involving angle derived from square and circle.

Basic probability. Should have a reasonable grounding in basic algebra before watching. Basic Probability. Example: Marbles from a bag. Example: Picking a non-blue marble. Example: Picking a yellow marble. Term Life Insurance and Death Probability. Probability with Playing Cards and Venn Diagrams. Addition Rule for Probability. Compound Probability of Independent Events. Getting At Least One Heads. Example: Probability of rolling doubles. LeBron Asks: What are the chances of making 10 free throws in a row?. LeBron Asks: What are the chances of three free throws versus one three pointer?. Frequency Probability and Unfair Coins. Example: Getting two questions right on an exam. Example: Rolling even three times. Introduction to dependent probability. Example: Dependent probability. Example: Is an event independent or dependent?. Example: Bag of unfair coins. Monty Hall Problem. Example: All the ways you can flip a coin. Example: Probability through counting outcomes. Permutations. Combinations. Example: Ways to arrange colors. Example: 9 card hands. Example: Ways to pick officers. Getting Exactly Two Heads (Combinatorics). Probability and Combinations (part 2). Probability using Combinations. Exactly Three Heads in Five Flips. Generalizing with Binomial Coefficients (bit advanced). Example: Different ways to pick officers. Example: Combinatorics and probability. Example: Lottery probability. Mega Millions Jackpot Probability. Conditional Probability and Combinations. Birthday Probability Problem. Random Variables. Discrete and continuous random variables. Probability Density Functions. Expected Value: E(X). Binomial Distribution 1. Binomial Distribution 2. Binomial Distribution 3. Binomial Distribution 4. Expected Value of Binomial Distribution. Poisson Process 1. Poisson Process 2. Law of Large Numbers. Introduction to Random Variables. Probability (part 1). Probability (part 2). Probability (part 3). Probability (part 4). Probability (part 5). Probability (part 6). Probability (part 7). Probability (part 8).

Logarithms. Ex: Converting an exponential to logarithmic statement. Evaluating logarithms. Fancier logarithm expressions. Evaluating logarithms 2. Graphing Logarithmic Functions. Introduction to Logarithms. Introduction to logarithm properties. Introduction to logarithm properties (part 2). Logarithm of a Power. Sum of Logarithms with Same Base. Using Multiple Logarithm Properties to Simplify. Operations with logarithms. Change of Base Formula. Proof: log a + log b = log ab. Proof: A(log B) = log (B^A), log A - log B = log (A/B). Change of base formula proof. Logarithmic Equations. Solving Logarithmic Equations. Solving Logarithmic Equations. Logarithmic Scale. Richter Scale. Natural Logarithm with a Calculator. Calculator for Natural Logarithms. Graphing Natural Logarithm Function. Logarithms. Ex: Converting an exponential to logarithmic statement. Evaluating logarithms. Fancier logarithm expressions. Evaluating logarithms 2. Graphing Logarithmic Functions. Introduction to Logarithms. Introduction to logarithm properties. Introduction to logarithm properties (part 2). Logarithm of a Power. Sum of Logarithms with Same Base. Using Multiple Logarithm Properties to Simplify. Operations with logarithms. Change of Base Formula. Proof: log a + log b = log ab. Proof: A(log B) = log (B^A), log A - log B = log (A/B). Change of base formula proof. Logarithmic Equations. Solving Logarithmic Equations. Solving Logarithmic Equations. Logarithmic Scale. Richter Scale. Natural Logarithm with a Calculator. Calculator for Natural Logarithms. Graphing Natural Logarithm Function.

Relationship between angular velocity and speed. Why Distance is Area under Velocity-Time Line. Introduction to Vectors and Scalars. Calculating Average Velocity or Speed. Solving for Time. Displacement from Time and Velocity Example. Acceleration. Balanced and Unbalanced Forces. Unbalanced Forces and Motion. Newton's First Law of Motion. Newton's First Law of Motion Concepts. Newton's First Law of Motion. Newton's Second Law of Motion. Newton's Third Law of Motion. Airbus A380 Take-off Time. Airbus A380 Take-off Distance. Average Velocity for Constant Acceleration. Acceleration of Aircraft Carrier Takeoff. Race Cars with Constant Speed Around Curve. Introduction to Gravity. Mass and Weight Clarification. Gravity for Astronauts in Orbit. Would a Brick or Feather Fall Faster. Deriving Displacement as a Function of Time, Acceleration and Initial Velocity. Plotting Projectile Displacement, Acceleration, and Velocity. Projectile Height Given Time. Deriving Max Projectile Displacement Given Time. Impact Velocity From Given Height. Visualizing Vectors in 2 Dimensions. Projectile at an Angle. Different Way to Determine Time in Air. Launching and Landing on Different Elevations. Total Displacement for Projectile. Total Final Velocity for Projectile. Correction to Total Final Velocity for Projectile. Projectile on an Incline. Unit Vectors and Engineering Notation. Clearing the Green Monster at Fenway. Green Monster at Fenway Part 2. Optimal angle for a projectile part 1. Optimal angle for a projectile part 2 - Hangtime. Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed). Optimal angle for a projectile part 4 Finding the optimal angle and distance with a bit of calculus. Slow Sock on Lubricon VI. Normal Forces on Lubricon VI. Normal Force and Contact Force. Normal Force in an Elevator. Inclined Plane Force Components. Ice Accelerating Down an Incline. Force of Friction Keeping the Block Stationary. Correction to Force of Friction Keeping the Block Stationary. Force of Friction Keeping Velocity Constant. Intuition on Static and Kinetic Friction Comparisons. Static and Kinetic Friction Example. Introduction to Tension. Introduction to Tension (Part 2). Tension in an accelerating system and pie in the face. Introduction to Momentum. Momentum: Ice skater throws a ball. 2-dimensional momentum problem. 2-dimensional momentum problem (part 2). Introduction to work and energy. Work and Energy (part 2). Conservation of Energy. Work/Energy problem with Friction. Introduction to mechanical advantage. Mechanical Advantage (part 2). Mechanical Advantage (part 3). Center of Mass. Introduction to Torque. Moments. Moments (part 2). Unit Vector Notation. Unit Vector Notation (part 2). Projectile Motion with Ordered Set Notation. Projectile motion (part 1). Projectile motion (part 2). Projectile motion (part 3). Projectile motion (part 4). Projectile motion (part 5). Centripetal Force and Acceleration Intuition. Visual Understanding of Centripetal Acceleration Formula. Calculus proof of centripetal acceleration formula. Loop De Loop Question. Loop De Loop Answer part 1. Loop De Loop Answer part 2. Acceleration Due to Gravity at the Space Station. Space Station Speed in Orbit. Conservation of angular momentum. Introduction to Newton's Law of Gravitation. Gravitation (part 2). Viewing g as the value of Earth's Gravitational Field Near the Surface. Intro to springs and Hooke's Law. Potential energy stored in a spring. Spring potential energy example (mistake in math). Introduction to Harmonic Motion. Harmonic Motion Part 2 (calculus). Harmonic Motion Part 3 (no calculus).

Introduction to Heredity. Punnett Square Fun. Hardy-Weinberg Principle. Sex-Linked Traits. Genetics 101 Part 1: What are genes?. Genetics 101 Part 2: What are SNPs?. Genetics 101 Part 3: Where do your genes come from?. Genetics 101 Part 4: What are Phenotypes?. Introduction to Heredity. Punnett Square Fun. Hardy-Weinberg Principle. Sex-Linked Traits. Genetics 101 Part 1: What are genes?. Genetics 101 Part 2: What are SNPs?. Genetics 101 Part 3: Where do your genes come from?. Genetics 101 Part 4: What are Phenotypes?.

Videos on finance and macroeconomics. Introduction to interest. Interest (part 2). Introduction to Present Value. Present Value 2. Present Value 3. Present Value 4 (and discounted cash flow). Introduction to Balance Sheets. More on balance sheets and equity. Home equity loans. Renting vs. Buying a home. Renting vs. buying a home (part 2). Renting vs. Buying (detailed analysis). The housing price conundrum. Housing price conundrum (part 2). Housing Price Conundrum (part 3). Housing Conundrum (part 4). What it means to buy a company's stock. Bonds vs. Stocks. Shorting Stock. Shorting Stock 2. Is short selling bad?. Chapter 7:Bankruptcy Liquidation. Chapter 11: Bankruptcy Restructuring. Return on capital. Credit Default Swaps (CDS) Intro. Mortgage Back Security Overview. Collateralized Debt Obligation Overview. Mortgage-Backed Securities I. Mortgage-backed securities II. Mortgage-backed securities III. Collateralized Debt Obligation (CDO). Introduction to the yield curve. Introduction to compound interest and e. Compound Interest and e (part 2). Compound Interest and e (part 3). Compound Interest and e (part 4). Bailout 1: Liquidity vs. Solvency. Bailout 2: Book Value. Bailout 3: Book value vs. market value. Bailout 4: Mark-to-model vs. mark-to-market. Bailout 5: Paying off the debt. Bailout 6: Getting an equity infusion. Bailout 7: Bank goes into bankruptcy. Bailout 8: Systemic Risk. Bailout 9: Paulson's Plan. Bailout 10: Moral Hazard. Credit Default Swaps. Credit Default Swaps 2. Investment vs. Consumption 1. Investment vs. Consumption 2. Bailout 11: Why these CDOs could be worth nothing. Bailout 12: Lone Star Transaction. Bailout 13: Does the bailout have a chance of working?. Wealth Destruction 1. Wealth Destruction 2. Bailout 14: Possible Solution. Bailout 15: More on the solution. Banking 1. Banking 2: A bank's income statement. Banking 3: Fractional Reserve Banking. Banking 4: Multiplier effect and the money supply. Personal Bankruptcy: Chapters 7 and 13. Introduction to Compound Interest. The Rule of 72 for Compound Interest. Annual Percentage Rate (APR) and Effective APR. Introduction to Bonds. Relationship between bond prices and interest rates. Introduction to Mortgage Loans. Traditional IRAs. Roth IRAs. 401(k)s. Payday Loans. Institutional Roles in Issuing and Processing Credit Cards. Ponzi Schemes. Currency Exchange Introduction. Currency Effect on Trade. Currency Effect on Trade Review. Pegging the Yuan. Chinese Central Bank Buying Treasuries. American-Chinese Debt Loop. Debt Loops Rationale and Effects. American Call Options. Basic Shorting. American Put Options. Call Option as Leverage. Put vs. Short and Leverage. Call Payoff Diagram. Put Payoff Diagram. Long Straddle. Put as Insurance. Put-Call Parity. Put Writer Payoff Diagrams. Call Writer Payoff Diagram. Arbitrage Basics. Put-Call Parity Arbitrage I. Put-Call Parity Arbitrage II. Put-Call Parity Clarification. Actual Option Quotes. Option Expiration and Price. Forward Contract Introduction. Futures Introduction. Motivation for the Futures Exchange. Futures Margin Mechanics. Verifying Hedge with Futures Margin Mechanics. Futures and Forward Curves. Contango from Trader Perspective. Severe Contango Generally Bearish. Backwardation Bullish or Bearish. Futures Curves II. Contango. Backwardation. Contango and Backwardation Review. Upper Bound on Forward Settlement Price. Lower Bound on Forward Settlement Price. Arbitraging Futures Contract. Arbitraging Futures Contracts II. Cash Accounting. Accrual Basis of Accounting. Comparing Accrual and Cash Accounting. Balance Sheet and Income Statement Relationship. Basic Cash Flow Statement. Doing the example with Accounts Payable growing. Expensing a Truck leads to inconsistent performance. Depreciating the truck. Depreciation in Cash Flow. Amortization and Depreciation. Basic Capital Structure Differences. Market Capitalization. Market Value of Assets. LIBOR. Fair Value Accounting. Tax Deductions Introduction. Alternative Minimum Tax. Term Life Insurance and Death Probability. Back of Envelope Office Space Conundrum. Corporations and Limited Liability. Is Limited Liability or Double Taxation Fair. Open-Ended Mutual Fund (Part 1). Open-End Mutual Fund Redemptions. Closed-End Mutual Funds. Exchange Traded Funds (ETFs). Hedge Funds Intro. Hedge Fund Structure and Fees. Are Hedge Funds Bad?. Hedge Funds, Venture Capital, and Private Equity. Treasury Bond Prices and Yields. Annual Interest Varying with Debt Maturity. The Yield Curve. Fed Open Market Operations. Quantitative Easing. More on Quantitative Easing (and Credit Easing). Hedge Fund Strategies - Long Short 1. Hedge Fund Strategies - Long Short 2. Hedge Fund Strategies - Merger Arbitrage 1. Stock Dilution. Acquisitions with Shares. Price Behavior After Announced Acquisition. Simple Merger Arb with Share Acquisition. Basic Leveraged Buyout (LBO). Corporate Debt versus Traditional Mortgages. AMT Overview. Open market operations and Quantitative Easing Overview. Another Quantitative Easing Video. US and Japanese Quantitative Easing. Term and Whole Life Insurance Policies 2. Term and Whole Life Insurance Policies. Estate Tax Introduction. Human Capital. Risk and Reward Introduction. Futures Fair Value in the Pre-Market. What is Inflation. Inflation Data. Moderate Inflation in a Good Economy. Stagflation. Real and Nominal Return. Calculating Real Return in Last Year Dollars. Relation Between Nominal and Real Returns and Inflation. Use Cases for Credit Default Swaps. Financial Weapons of Mass Destruction. Deflation. Velocity of Money Rather than Quantity Driving Prices. Deflation Despite Increases in Money Supply. Deflationary Spiral. Hyperinflation. Estate Tax Basics. Term and Whole Life. Open-Ended Mutual Funds. Unemployment Rate Primer (v2). Time Value of Money. Mortgage Interest Rates. Inflation Overview. Basics of US Income Tax Rate Schedule. Carry Trade Basics. Interpreting Futures Fair Value in the PreMarket. Interest Rate Swap 1. Interest Rate Swap 2. Transfer Pricing and Tax Havens.

Similar Triangle Basics. Similarity Postulates. Similar triangles 1. Similar Triangle Example Problems. Similar triangles 2. Similarity Example Problems. Solving similar triangles 1. Similarity example where same side plays different roles. Challenging Similarity Problem. Finding Area Using Similarity and Congruence. Similar triangles. Similar triangles (part 2). Similar Triangle Basics. Similarity Postulates. Similar triangles 1. Similar Triangle Example Problems. Similar triangles 2. Similarity Example Problems. Solving similar triangles 1. Similarity example where same side plays different roles. Challenging Similarity Problem. Finding Area Using Similarity and Congruence. Similar triangles. Similar triangles (part 2).

This tutorial will help us make sure we can go deep on arithmetic. We'll explore various ways to represent whole numbers, place value, order of operations, rounding and various other properties of arithmetic. Introduction to Order of Operations. Order of Operations. Order of Operations 1. More Complicated Order of Operations Example. Order of Operations examples. Order of operations. Place Value 1. Place Value 2. Place Value 3. Place value. Representing numbers. Representing numbers. Comparing place values. Understanding place value 1 exercise. Understanding place value 1. Place value relationships example. Rounding Whole Numbers 1. Rounding Whole Numbers 2. Rounding Whole Numbers 3. Rounding whole numbers. The Distributive Property. The Distributive Property 2. Distributive Property Example 1. Distributive property exercise. Distributive property. Counting 1 exercise. Counting 1. Regrouping numbers intro various place values. Comparing whole number place values. Largest possible number from 4 digits example. Understanding whole number representations. Recognizing irrational numbers. Recognizing rational and irrational numbers. Regrouping whole numbers. Regrouping whole numbers example 1. Regrouping whole numbers example 2. Regrouping whole numbers. Commutative Law of Addition. Commutative Property for Addition. Commutative Law of Multiplication. Associative Law of Addition. Associative Law of Multiplication. CA Algebra I: Number Properties and Absolute Value. Properties of numbers 1. Number properties terminology 1. Identity Property of 1. Identity property of 1 (second example). Identity property of 0. Inverse Property of Addition. Inverse Property of Multiplication. Properties of numbers 2. Introduction to Order of Operations. Order of Operations. Order of Operations 1. More Complicated Order of Operations Example. Order of Operations examples. Order of operations. Place Value 1. Place Value 2. Place Value 3. Place value. Representing numbers. Representing numbers. Comparing place values. Understanding place value 1 exercise. Understanding place value 1. Place value relationships example. Rounding Whole Numbers 1. Rounding Whole Numbers 2. Rounding Whole Numbers 3. Rounding whole numbers. The Distributive Property. The Distributive Property 2. Distributive Property Example 1. Distributive property exercise. Distributive property. Counting 1 exercise. Counting 1. Regrouping numbers intro various place values. Comparing whole number place values. Largest possible number from 4 digits example. Understanding whole number representations. Recognizing irrational numbers. Recognizing rational and irrational numbers. Regrouping whole numbers. Regrouping whole numbers example 1. Regrouping whole numbers example 2. Regrouping whole numbers. Commutative Law of Addition. Commutative Property for Addition. Commutative Law of Multiplication. Associative Law of Addition. Associative Law of Multiplication. CA Algebra I: Number Properties and Absolute Value. Properties of numbers 1. Number properties terminology 1. Identity Property of 1. Identity property of 1 (second example). Identity property of 0. Inverse Property of Addition. Inverse Property of Multiplication. Properties of numbers 2.

You probably like triangles. You think they are useful. They show up a lot. What you'll see in this topic is that they are far more magical and mystical than you ever imagined!. Circumcenter of a Triangle. Circumcenter of a Right Triangle. Three Points Defining a Circle. Area Circumradius Formula Proof. 2003 AIME II Problem 7. Point Line Distance and Angle Bisectors. Incenter and incircles of a triangle. Inradius Perimeter and Area. Angle Bisector Theorem Proof. Angle Bisector Theorem Examples. Angle bisector theorem. Triangle Medians and Centroids. Triangle Medians and Centroids (2D Proof). Medians divide into smaller triangles of equal area. Exploring Medial Triangles. Proving that the Centroid is 2-3rds along the Median. Median Centroid Right Triangle Example. Proof - Triangle Altitudes are Concurrent (Orthocenter). Common Orthocenter and Centroid. Review of Triangle Properties. Euler Line. Euler's Line Proof. Constructing a perpendicular bisector using a compass and straightedge. Constructing a perpendicular line using a compass and straightedge. Constructing an angle bisector using a compass and straightedge. Compass Constructions. Circumcenter of a Triangle. Circumcenter of a Right Triangle. Three Points Defining a Circle. Area Circumradius Formula Proof. 2003 AIME II Problem 7. Point Line Distance and Angle Bisectors. Incenter and incircles of a triangle. Inradius Perimeter and Area. Angle Bisector Theorem Proof. Angle Bisector Theorem Examples. Angle bisector theorem. Triangle Medians and Centroids. Triangle Medians and Centroids (2D Proof). Medians divide into smaller triangles of equal area. Exploring Medial Triangles. Proving that the Centroid is 2-3rds along the Median. Median Centroid Right Triangle Example. Proof - Triangle Altitudes are Concurrent (Orthocenter). Common Orthocenter and Centroid. Review of Triangle Properties. Euler Line. Euler's Line Proof. Constructing a perpendicular bisector using a compass and straightedge. Constructing a perpendicular line using a compass and straightedge. Constructing an angle bisector using a compass and straightedge. Compass Constructions.

Understanding and solving exponents without algebra. Introduction to exponents. Raising a number to the 0th and 1st power. Powers of 1 and -1. Powers of fractions. Powers of zero. Exponent example 1. Exponent example 2. Positive and zero exponents. Understanding Square Roots. Square roots of perfect squares. Approximating Square Roots. Estimating square roots. Simplifying square roots. Simplifying radicals. Square Roots and Real Numbers. Simplifying radicals. Simplifying radicals 2. Adding and simplifying radicals. Adding and subtracting radicals. Finding Cube Roots. Cube root of a non-perfect cube. Simplifying a cube root. Cube roots. Cube roots 2. Patterns in zeros exercise. Patterns in zeros. Exponent Rules Part 1. Exponent Rules Part 2. Exponent Properties Involving Quotients. Exponent rules. Negative exponents. Negative Exponent Intuition. Zero, Negative, and Fractional Exponents. Negative exponents. Basic fractional exponents. Negative fractional exponent examples. Negative fractional exponent examples 2. Fractional exponents. Fractional exponents with numerators other than 1. Fractional exponents 2. Introduction to scientific notation. Scientific Notation. Scientific notation intuition. Scientific Notation Examples. Scientific Notation I. Scientific Notation Example 2. Scientific notation. Orders of magnitude exercise example 1. Orders of magnitude exercise example 2. Orders of magnitude. Multiplying in Scientific Notation. Multiplying in scientific notation example. Dividing in scientific notation example. Multiplying and dividing in scientific notation. Multiplying and dividing scientific notation. Simplifying a complicated expression into scientific notation. Calculating red blood cells in the body using scientific notation. Computing in scientific notation. Introduction to exponents. Raising a number to the 0th and 1st power. Powers of 1 and -1. Powers of fractions. Powers of zero. Exponent example 1. Exponent example 2. Positive and zero exponents. Understanding Square Roots. Square roots of perfect squares. Approximating Square Roots. Estimating square roots. Simplifying square roots. Simplifying radicals. Square Roots and Real Numbers. Simplifying radicals. Simplifying radicals 2. Adding and simplifying radicals. Adding and subtracting radicals. Finding Cube Roots. Cube root of a non-perfect cube. Simplifying a cube root. Cube roots. Cube roots 2. Patterns in zeros exercise. Patterns in zeros. Exponent Rules Part 1. Exponent Rules Part 2. Exponent Properties Involving Quotients. Exponent rules. Negative exponents. Negative Exponent Intuition. Zero, Negative, and Fractional Exponents. Negative exponents. Basic fractional exponents. Negative fractional exponent examples. Negative fractional exponent examples 2. Fractional exponents. Fractional exponents with numerators other than 1. Fractional exponents 2. Introduction to scientific notation. Scientific Notation. Scientific notation intuition. Scientific Notation Examples. Scientific Notation I. Scientific Notation Example 2. Scientific notation. Orders of magnitude exercise example 1. Orders of magnitude exercise example 2. Orders of magnitude. Multiplying in Scientific Notation. Multiplying in scientific notation example. Dividing in scientific notation example. Multiplying and dividing in scientific notation. Multiplying and dividing scientific notation. Simplifying a complicated expression into scientific notation. Calculating red blood cells in the body using scientific notation. Computing in scientific notation.

Understanding decimals conceptually, using operations with decimals, rounding and estimating with decimals, and converting decimals. Decimal Place Value. Decimal Place Value 2. Writing out a decimal in words. Expanding out a decimal by place value. Writing a decimal to represent a quantity. Writing and interpreting decimals. Comparing place values in decimals. Comparing decimal place value. Using money to understand decimal place value. Money and decimal place value intuition. Regrouping with decimals. Regrouping with decimals example. Regrouping decimals example 2. Regrouping decimals. Decimals on a Number Line. Decimals on the number line 1. Points on a number line. Decimals on the number line 2. Positive and negative decimals on a number line. Decimals on the number line 3. Comparing decimals example 1. Comparing decimals example 2. Comparing decimals 1. Comparing decimals example 3. Comparing decimals example 4. Comparing decimals 2. Adding decimals example 1. Adding decimals example 2. Adding decimals example 3. Adding decimals 0.5. Adding decimals 1. Adding decimals 2. Subtracting Decimals. Subtracting decimals 0.5. Subtracting decimals. Adding decimals word problem. Subtracting Decimals Word Problem. Adding and subtracting decimals word problems. Subtracting decimals (old). Multiplying Decimals. Multiplying decimals example 2. Multiple examples multiplying decimals. Multiplying decimals. Dividing completely to get decimal answer. Dividing completely to get decimal answer example 2. Dividing completely. Dividing a decimal by a whole number. Dividing decimals 1. Dividing a whole number by a decimal. Dividing decimals 2. Dividing Decimals. Dividing decimal. Dividing decimals. Converting fractions to decimals (ex1). Converting fractions to decimals (ex2). Converting fractions to decimals. Converting Fractions to Decimals Example. Converting fractions to decimals. Decimals and Fractions. Converting decimals to fractions 1 (ex 1). Converting decimals to fractions 1 (ex 2). Converting decimals to fractions 1 (ex 3). Converting decimals to fractions 1. Converting decimals to fractions 2 (ex 1). Converting decimals to fractions 2 (ex 2). Converting decimals to fractions 2. Describing the Meaning of Percent. Describing the Meaning of Percent 2. Representing a number as a decimal, percent, and fraction. Converting decimals to percents (ex 1). Converting decimals to percents (ex 2). Converting decimals to percents. Converting percents to decimals (ex 1). Converting percents to decimals (ex 2). Converting percents to decimals. Finding percentages example. Percent word problems. Taking a percentage example. Finding percents. Identifying Percent Amount and Base. Representing a number as a decimal, percent, and fraction 2. Ordering numeric expressions. Growing by a percentage. Solving Percent Problems. Solving Percent Problems 2. Solving Percent Problems 3. Discount tax and tip word problems. Markup and commission word problems. Rounding Decimals. Rounding numbers. Estimation with Decimals. Estimation with decimals. Significant Figures. More on Significant Figures. Addition and Subtraction with Significant Figures. Multiplying and Dividing with Significant Figures. Significant figures. Multiplying a Decimal by a Power of 10. Dividing a Decimal by a Power of 10. Dividing a decimal by a power of 10 (part 2). Understanding moving the decimal. Fractions as division by a power of 10. Adding and subtracting a decimal percentage and fraction. Adding fractions decimals and percentages. Adding and subtracting three fractions. Adding and subtracting rational numbers. Decimal Place Value. Decimal Place Value 2. Writing out a decimal in words. Expanding out a decimal by place value. Writing a decimal to represent a quantity. Writing and interpreting decimals. Comparing place values in decimals. Comparing decimal place value. Using money to understand decimal place value. Money and decimal place value intuition. Regrouping with decimals. Regrouping with decimals example. Regrouping decimals example 2. Regrouping decimals. Decimals on a Number Line. Decimals on the number line 1. Points on a number line. Decimals on the number line 2. Positive and negative decimals on a number line. Decimals on the number line 3. Comparing decimals example 1. Comparing decimals example 2. Comparing decimals 1. Comparing decimals example 3. Comparing decimals example 4. Comparing decimals 2. Adding decimals example 1. Adding decimals example 2. Adding decimals example 3. Adding decimals 0.5. Adding decimals 1. Adding decimals 2. Subtracting Decimals. Subtracting decimals 0.5. Subtracting decimals. Adding decimals word problem. Subtracting Decimals Word Problem. Adding and subtracting decimals word problems. Subtracting decimals (old). Multiplying Decimals. Multiplying decimals example 2. Multiple examples multiplying decimals. Multiplying decimals. Dividing completely to get decimal answer. Dividing completely to get decimal answer example 2. Dividing completely. Dividing a decimal by a whole number. Dividing decimals 1. Dividing a whole number by a decimal. Dividing decimals 2. Dividing Decimals. Dividing decimal. Dividing decimals. Converting fractions to decimals (ex1). Converting fractions to decimals (ex2). Converting fractions to decimals. Converting Fractions to Decimals Example. Converting fractions to decimals. Decimals and Fractions. Converting decimals to fractions 1 (ex 1). Converting decimals to fractions 1 (ex 2). Converting decimals to fractions 1 (ex 3). Converting decimals to fractions 1. Converting decimals to fractions 2 (ex 1). Converting decimals to fractions 2 (ex 2). Converting decimals to fractions 2. Describing the Meaning of Percent. Describing the Meaning of Percent 2. Representing a number as a decimal, percent, and fraction. Converting decimals to percents (ex 1). Converting decimals to percents (ex 2). Converting decimals to percents. Converting percents to decimals (ex 1). Converting percents to decimals (ex 2). Converting percents to decimals. Finding percentages example. Percent word problems. Taking a percentage example. Finding percents. Identifying Percent Amount and Base. Representing a number as a decimal, percent, and fraction 2. Ordering numeric expressions. Growing by a percentage. Solving Percent Problems. Solving Percent Problems 2. Solving Percent Problems 3. Discount tax and tip word problems. Markup and commission word problems. Rounding Decimals. Rounding numbers. Estimation with Decimals. Estimation with decimals. Significant Figures. More on Significant Figures. Addition and Subtraction with Significant Figures. Multiplying and Dividing with Significant Figures. Significant figures. Multiplying a Decimal by a Power of 10. Dividing a Decimal by a Power of 10. Dividing a decimal by a power of 10 (part 2). Understanding moving the decimal. Fractions as division by a power of 10. Adding and subtracting a decimal percentage and fraction. Adding fractions decimals and percentages. Adding and subtracting three fractions. Adding and subtracting rational numbers.

Groups of the Periodic Table. Valence Electrons. Periodic Table Trends: Ionization Energy. Other Periodic Table Trends. Ionic, Covalent, and Metallic Bonds. Groups of the Periodic Table. Valence Electrons. Periodic Table Trends: Ionization Energy. Other Periodic Table Trends. Ionic, Covalent, and Metallic Bonds.

Language and Notation of the Circle. Circles: Radius, Diameter and Circumference. Length of an arc that subtends a central angle. Finding central angle measure given arc length. Parts of a Circle. Area of a Circle. Area of a sector given a central angle. Inscribed and Central Angles. Perpendicular Radius Bisects Chord. Right Triangles Inscribed in Circles (Proof). Area of Inscribed Equilateral Triangle (some basic trig used). Language and Notation of the Circle. Circles: Radius, Diameter and Circumference. Length of an arc that subtends a central angle. Finding central angle measure given arc length. Parts of a Circle. Area of a Circle. Area of a sector given a central angle. Inscribed and Central Angles. Perpendicular Radius Bisects Chord. Right Triangles Inscribed in Circles (Proof). Area of Inscribed Equilateral Triangle (some basic trig used).

Find out what's inside of blood. What's Inside of Blood?. Hemoglobin moves O2 and CO2. Bohr Effect vs. Haldane Effect. Fetal Hemoglobin and Hematocrit. Oxygen Content. What's Inside of Blood?. Hemoglobin moves O2 and CO2. Bohr Effect vs. Haldane Effect. Fetal Hemoglobin and Hematocrit. Oxygen Content.

Triangles are not always right (although they are never wrong), but when they are it opens up an exciting world of possibilities. Not only are right triangles cool in their own right (pun intended), they are the basis of very important ideas in analytic geometry (the distance between two points in space) and trigonometry. Pythagorean Theorem. The Pythagorean theorem intro. Pythagorean Theorem 1. Pythagorean Theorem 2. Pythagorean Theorem 3. Pythagorean theorem. Introduction to the Pythagorean Theorem. Pythagorean Theorem II. Garfield's proof of the Pythagorean Theorem. Bhaskara's proof of Pythagorean Theorem. Pythagorean Theorem Proof Using Similarity. Another Pythagorean Theorem Proof. 30-60-90 Triangle Side Ratios Proof. 45-45-90 Triangle Side Ratios. 30-60-90 Triangle Example Problem. Special right triangles. Area of a Regular Hexagon. 45-45-90 Triangles. Intro to 30-60-90 Triangles. 30-60-90 Triangles II. Pythagorean Theorem. The Pythagorean theorem intro. Pythagorean Theorem 1. Pythagorean Theorem 2. Pythagorean Theorem 3. Pythagorean theorem. Introduction to the Pythagorean Theorem. Pythagorean Theorem II. Garfield's proof of the Pythagorean Theorem. Bhaskara's proof of Pythagorean Theorem. Pythagorean Theorem Proof Using Similarity. Another Pythagorean Theorem Proof. 30-60-90 Triangle Side Ratios Proof. 45-45-90 Triangle Side Ratios. 30-60-90 Triangle Example Problem. Special right triangles. Area of a Regular Hexagon. 45-45-90 Triangles. Intro to 30-60-90 Triangles. 30-60-90 Triangles II.

Solving exponential and radical expressions and equations. Using scientific notation and significant figures. Negative and Positive Exponents. Evaluating exponential expressions. Evaluating exponential expressions 3. Exponent Rules Part 1. Exponent Rules Part 2. Exponent Properties 1. Exponent Properties 2. Exponent Properties 3. Exponent Properties 4. Simplifying rational expression with exponent properties. Exponent Properties 5. Exponent Properties 6. Exponent Properties 7. Simplifying Square Roots. Simplifying Square Roots Comment Response. Radical Equivalent to Rational Exponents. Radical Equivalent to Rational Exponents 2. Radical Expressions with Higher Roots. Adding and Simplifying Radicals. Subtracting and Simplifying Radicals. Multiply and Simplify a Radical Expression 1. Multiply and Simplify a Radical Expression 2. Exponent Properties Involving Products. Rational Exponents and Exponent Laws. Simplifying Cube Roots. More Rational Exponents and Exponent Laws. How to Rationalize a Denominator. Simplifying Expressions with Exponents. Simplifying Expressions with Exponents 2. Simplifying Expressions with Exponents 3. Fractional Exponent Expressions 1. Fractional Exponent Expressions 2. Fractional Exponent Expressions 3. Simplifying expressions with exponents. Solving Radical Equations. Extraneous Solutions to Radical Equations. Solving Radical Equations 1. Solving Radical Equations 2. Solving Radical Equations 3. Applying Radical Equations 1. Applying Radical Equations 2. Applying Radical Equations 3. Radical equations. Negative and Positive Exponents. Evaluating exponential expressions. Evaluating exponential expressions 3. Exponent Rules Part 1. Exponent Rules Part 2. Exponent Properties 1. Exponent Properties 2. Exponent Properties 3. Exponent Properties 4. Simplifying rational expression with exponent properties. Exponent Properties 5. Exponent Properties 6. Exponent Properties 7. Simplifying Square Roots. Simplifying Square Roots Comment Response. Radical Equivalent to Rational Exponents. Radical Equivalent to Rational Exponents 2. Radical Expressions with Higher Roots. Adding and Simplifying Radicals. Subtracting and Simplifying Radicals. Multiply and Simplify a Radical Expression 1. Multiply and Simplify a Radical Expression 2. Exponent Properties Involving Products. Rational Exponents and Exponent Laws. Simplifying Cube Roots. More Rational Exponents and Exponent Laws. How to Rationalize a Denominator. Simplifying Expressions with Exponents. Simplifying Expressions with Exponents 2. Simplifying Expressions with Exponents 3. Fractional Exponent Expressions 1. Fractional Exponent Expressions 2. Fractional Exponent Expressions 3. Simplifying expressions with exponents. Solving Radical Equations. Extraneous Solutions to Radical Equations. Solving Radical Equations 1. Solving Radical Equations 2. Solving Radical Equations 3. Applying Radical Equations 1. Applying Radical Equations 2. Applying Radical Equations 3. Radical equations.

Extending our understanding of numbers below 0. Thinking about "absolute" distance from 0. Negative Numbers Introduction. Negative numbers on the number line. Number line 3. Ordering Negative Numbers. Ordering negative numbers. Number opposites. Number opposites. Negative Numbers Introduction. Number opposites. Example: Adding negative numbers. Example: Adding integers with different signs. Adding negative numbers. Adding and subtracting negative number examples. Why Subtracting a Negative Equivalent to Adding a Positive. Adding and subtracting negative numbers. Negative number word problems 1. Negative number word problems. Adding decimals of different signs word problem. Adding/Subtracting negative numbers. Multiplying Positive and Negative Numbers. Why a Negative Times a Negative is a Positive. Why a Negative Times a Negative Makes Intuitive Sense. Dividing Positive and Negative Numbers. Example: Multiplying numbers with different signs. Multiplying and dividing negative numbers. Multiplying and dividing negative numbers. Absolute Value and Number Lines. Absolute Value 1. Finding absolute values. Absolute Value of Integers. Comparing Absolute Values. Comparing absolute values. Absolute value word problems exercise. Absolute value word problems. Constructing and interpreting absolute value. Constructing and interpreting absolute value. Negative Numbers Introduction. Negative numbers on the number line. Number line 3. Ordering Negative Numbers. Ordering negative numbers. Number opposites. Number opposites. Negative Numbers Introduction. Number opposites. Example: Adding negative numbers. Example: Adding integers with different signs. Adding negative numbers. Adding and subtracting negative number examples. Why Subtracting a Negative Equivalent to Adding a Positive. Adding and subtracting negative numbers. Negative number word problems 1. Negative number word problems. Adding decimals of different signs word problem. Adding/Subtracting negative numbers. Multiplying Positive and Negative Numbers. Why a Negative Times a Negative is a Positive. Why a Negative Times a Negative Makes Intuitive Sense. Dividing Positive and Negative Numbers. Example: Multiplying numbers with different signs. Multiplying and dividing negative numbers. Multiplying and dividing negative numbers. Absolute Value and Number Lines. Absolute Value 1. Finding absolute values. Absolute Value of Integers. Comparing Absolute Values. Comparing absolute values. Absolute value word problems exercise. Absolute value word problems. Constructing and interpreting absolute value. Constructing and interpreting absolute value.