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## Algebra: worked examples

•  Solving Quadratic Equations by Factoring 1 Solving Quadratic Equations by Factoring 2 U12_L2_T2_we1 Independent Events 1
•  Solving Quadratic Equations by Factoring 1 Solving Quadratic Equations by Factoring 2 U12_L2_T2_we1 Independent Events 1
• ## Finances

•  Compound Interest and e (part 4) Compound Interest and e (part 3) Introduction to compound interest and e Compound Interest and e (part 2) Interest (part 2) Introduction to interest
•  Compound Interest and e (part 4) Compound Interest and e (part 2) Compound Interest and e (part 3) Interest (part 2) Introduction to compound interest and e Introduction to interest
• ## Algebra: Absolute value

•  Absolute Value 1 Absolute Value and Number Lines Why Subtracting a Negative Equivalent to Adding a Positive Absolute Value of Integers Comparing Absolute Values
•  Absolute Value 1 Absolute Value of Integers Absolute Value and Number Lines Comparing Absolute Values Why Subtracting a Negative Equivalent to Adding a Positive
• ## Arithmetic and Pre-Algebra: Order of operations

•  Introduction to Order of Operations Magazijuto mifano migumu-More complicated order of operations example Hesabu za magazijuto - Order of Operations Hesabu za magazijuto-Order of operations 1
•  Introduction to Order of Operations Hesabu za magazijuto - Order of Operations Magazijuto mifano migumu-More complicated order of operations example Hesabu za magazijuto-Order of operations 1
• ## Arithmetic and Pre-Algebra: Percents

•  Describing the Meaning of Percent Describing the Meaning of Percent 2 Identifying Percent Amount and Base Kufanya mafumbo asilimia - Solving Percent Problem 3
•  Describing the Meaning of Percent Identifying Percent Amount and Base Describing the Meaning of Percent 2 Kufanya mafumbo asilimia - Solving Percent Problem 3
• ## Arithmetic and Pre-Algebra: Number properties

•  Commutative Law of Addition Hesabu za magazijuto - The Distributive Property 2 Kinyume cha kujumlisha - Inverse Property of Addition Commutative Law of Multiplication Hesabu za aina moja - Identity property of 0 The distributive property swahili Associative Law of Multiplication Hesabu za aina moja - Identity property of 0 Associative Law of Addition Kinyume cha kuzidisha - Inverse property of multiplication
•  Commutative Law of Addition Commutative Law of Multiplication Associative Law of Multiplication Associative Law of Addition Hesabu za magazijuto - The Distributive Property 2 Hesabu za aina moja - Identity property of 0 Hesabu za aina moja - Identity property of 0 Kinyume cha kuzidisha - Inverse property of multiplication Kinyume cha kujumlisha - Inverse Property of Addition The distributive property swahili

## Competition Math

•  2003 AIME II Problem 8 2003 AIME II Problem 14
•  2003 AIME II Problem 8 2003 AIME II Problem 14
• ## IIT JEE Questions

•  Series Sum Example Trigonometric System Example IIT JEE Trigonometry Problem 1 Complex Determinant Example IIT JEE Trigonometric Constraints
•  Series Sum Example Complex Determinant Example Trigonometric System Example IIT JEE Trigonometric Constraints IIT JEE Trigonometry Problem 1
• ## Geometry: Worked Examples

•  Interesting Perimeter and Area Problems Challenging Perimeter Problem
•  Interesting Perimeter and Area Problems Challenging Perimeter Problem
• ## Geometry: Polygons, quadrilaterals, and parallelograms

•  Proof - Opposite Sides of Parallelogram Congruent Proof - Rhombus Area Half Product of Diagonal Length Area of a Parallelogram Problem involving angle derived from square and circle Area of a Regular Hexagon Proof - Diagonals of a Parallelogram Bisect Each Other
•  Proof - Opposite Sides of Parallelogram Congruent Problem involving angle derived from square and circle Proof - Rhombus Area Half Product of Diagonal Length Area of a Regular Hexagon Area of a Parallelogram Proof - Diagonals of a Parallelogram Bisect Each Other

## California Standards Test: Geometry

•  CA Geometry: More on congruent and similar triangles Basic Trigonometry
•  CA Geometry: More on congruent and similar triangles Basic Trigonometry
• ## Algebra: Exponents and Radicals

•  Understanding Square Roots Exponent Properties 4 swahili Kurahisisha namba mraba zaidi - More Simplifying Radical Expressions Exponent Rules Part 2 Hesabu za Kipeuo 5 - Exponent Properties 5 Kurahisisha namba mraba - Simplifying Radicals Negative Exponent Intuition Multiplying and Dividing Rational Expressions 2 Hesabu za Kipeuo 3 - Exponent Properties 3 Understanding Exponents Kutafuta Thamani ya Kipeuo - Evaluating Exponential Expression Vipeo kuhusu kugawanya - Exponent properties involving quotients Understanding Exponents 2 Kutafuta kipeo cha tatu - Finding Cube Roots Kanuni ya vipeo - Exponent rules part 1 Hesabu za Kipeuo 1 - Exponent Properties 1 Aina ya pili ya hesabu za vipeo - Level 2 Exponents Multiplying and Dividing Rational Expressions 1 Kujumlisha na Kutoa Mlinganyo - Adding and Subtracting Rational Expressions 1 Kurahisisha namba mraba - Simplifying Radical Expressions1 Hesabu za Kipeuo 2 - Exponent Properties 2 Kurahisisha namba mraba 2 - Simplifying Radical Expressions 2
•  Understanding Square Roots Exponent Rules Part 2 Negative Exponent Intuition Understanding Exponents Understanding Exponents 2 Hesabu za Kipeuo 1 - Exponent Properties 1 Kujumlisha na Kutoa Mlinganyo - Adding and Subtracting Rational Expressions 1 Hesabu za Kipeuo 2 - Exponent Properties 2 Exponent Properties 4 swahili Hesabu za Kipeuo 5 - Exponent Properties 5 Multiplying and Dividing Rational Expressions 2 Kutafuta Thamani ya Kipeuo - Evaluating Exponential Expression Kutafuta kipeo cha tatu - Finding Cube Roots Aina ya pili ya hesabu za vipeo - Level 2 Exponents Kurahisisha namba mraba - Simplifying Radical Expressions1 Kurahisisha namba mraba 2 - Simplifying Radical Expressions 2 Kurahisisha namba mraba zaidi - More Simplifying Radical Expressions Kurahisisha namba mraba - Simplifying Radicals Hesabu za Kipeuo 3 - Exponent Properties 3 Vipeo kuhusu kugawanya - Exponent properties involving quotients Kanuni ya vipeo - Exponent rules part 1 Multiplying and Dividing Rational Expressions 1
• ## Biology

•  Cancer Swahili Himoglobini - Hemoglobin Mabadiliko katika wanyama - Variation in a species Evolution Clarification Swahili Uoksidishaji-Fosiforilesheni na Kemiosmosisi - Oxidative Phosphorylation and Chemiosmosis Tropomyosin and troponin and their role in regulating muscle contraction Swahili Glycolysis Swahili Marudio ya B Seli cd4T-Seli na cd8 T-Seli - Review of B cells, CD4+ T cells and CD8+ T cells Figo na Nephroni - The Kidney and Nephron Hardy-Weinberg Principle Swahili Role of the Sacoplasmic Reticulum in Muscle Cell Swahili Viruses Swahili Intelligent Design and Evolution Swahili Usafirishaji wa Pili Imara Katika Nephroni - Secondary Active Transport in the Nephron Anatomia ya Seli za Misuli - Anatomy of a muscle cell Introduction to Cellular Respiration Swahili Tendo la Nguvu Za Elektroni - Electrotonic and Action Potential C-4 Usanidinuru - C-4 Photosynthesis Myosin and Actin Swahili Kishkio cha Kiini Tete - Embryonic stem cell Kromosomu, Kromatidi na Kromatini - Chromosomes, Chromatids, Chromatin, etc. Natural Selection and the Owl Butterfly Swahili Matokeo ya Uvimbe - Inflammatory Response Mzunguko wa Damu na Moyo - Circulatory System and the Heart Oxidation and Reduction Review From Biological Point-of-View Swahili Utangulizi wa Mabadiliko ya uteuzi asili - Introduction to Evolution and Natural Selection Mfyonzo na Msambao - Diffusion and Osmosis Photosynthesis Calvin Cycle Swahili Krebi na mzunguko wa asidi ya sitriki - Krebs / Citric Acid Cycle Seli T Saidizi - Helper T Cells Professional Antigen Presenting Cells (APC) and MHC II complexes Swahili Mgawanyiko wa seli na uzalianaji - Mitosis, Meiosis and Sexual Reproduction Utangulizi wa Tabia za Kurithi - Introduction to Heredity Sex-Linked Traits Swahili Uoksidishaji na Upungufu wa Upumuaji sa Seli - Oxidation and Reduction in Cellular Respiration Kemikali za Neuroni Synapsi - Neuronal Synapses Chemicals Marekebisho ya sodiamu na potasiamu pampu - Correction to Sodium and Potassium Pump Video Sura za mitosis - Phases of Mitosis Usanisi wa Chakula katika Mmea - Photorespiration Bakteria - Bacteria Sura za Meiosisi - Phases of Meiosis Chembe Chembe Nyekundu za Damu - Red Blood Cell Anatomia ya Neuroni - Anatomy of a Neuron Usanidinuru Matokeo ya mwanga - Photosynthesis: Light Reactions 1 Role of Phagocytes innate or Non Specific Immunity Swahili Atp Adenosini 3fosfati - ATP: Adenosine Triphosphate Usanidinuru - Photosynthesis Aina za Kinga za Mwili - Overview of types of immune responses Mmea wa Kemu - CAM Plants Kikapu Mraba - Punnett Square Fun DNA Swahili Sumu T Inayopambana na Mashambulizi ya Seli - Cytotoxic T Cells Mapafu na Njia za Upumuaji - The Lungs and pulmonary system Usanidinuru matokeo ya mwanga 2 - Photosynthesis: Light Reactions and Photophosphorylation.mp4
•  Cancer Swahili Evolution Clarification Swahili Glycolysis Swahili Hardy-Weinberg Principle Swahili Intelligent Design and Evolution Swahili Introduction to Cellular Respiration Swahili Myosin and Actin Swahili Natural Selection and the Owl Butterfly Swahili Oxidation and Reduction Review From Biological Point-of-View Swahili Photosynthesis Calvin Cycle Swahili Professional Antigen Presenting Cells (APC) and MHC II complexes Swahili Sex-Linked Traits Swahili Marekebisho ya sodiamu na potasiamu pampu - Correction to Sodium and Potassium Pump Video Bakteria - Bacteria Anatomia ya Neuroni - Anatomy of a Neuron Atp Adenosini 3fosfati - ATP: Adenosine Triphosphate Mmea wa Kemu - CAM Plants Sumu T Inayopambana na Mashambulizi ya Seli - Cytotoxic T Cells Himoglobini - Hemoglobin Uoksidishaji-Fosiforilesheni na Kemiosmosisi - Oxidative Phosphorylation and Chemiosmosis Marudio ya B Seli cd4T-Seli na cd8 T-Seli - Review of B cells, CD4+ T cells and CD8+ T cells Role of the Sacoplasmic Reticulum in Muscle Cell Swahili Usafirishaji wa Pili Imara Katika Nephroni - Secondary Active Transport in the Nephron Tendo la Nguvu Za Elektroni - Electrotonic and Action Potential Kishkio cha Kiini Tete - Embryonic stem cell Matokeo ya Uvimbe - Inflammatory Response Utangulizi wa Mabadiliko ya uteuzi asili - Introduction to Evolution and Natural Selection Krebi na mzunguko wa asidi ya sitriki - Krebs / Citric Acid Cycle Mgawanyiko wa seli na uzalianaji - Mitosis, Meiosis and Sexual Reproduction Uoksidishaji na Upungufu wa Upumuaji sa Seli - Oxidation and Reduction in Cellular Respiration Sura za mitosis - Phases of Mitosis Sura za Meiosisi - Phases of Meiosis Usanidinuru Matokeo ya mwanga - Photosynthesis: Light Reactions 1 Usanidinuru - Photosynthesis Kikapu Mraba - Punnett Square Fun Mapafu na Njia za Upumuaji - The Lungs and pulmonary system Mabadiliko katika wanyama - Variation in a species Tropomyosin and troponin and their role in regulating muscle contraction Swahili Figo na Nephroni - The Kidney and Nephron Viruses Swahili Anatomia ya Seli za Misuli - Anatomy of a muscle cell C-4 Usanidinuru - C-4 Photosynthesis Kromosomu, Kromatidi na Kromatini - Chromosomes, Chromatids, Chromatin, etc. Mzunguko wa Damu na Moyo - Circulatory System and the Heart Mfyonzo na Msambao - Diffusion and Osmosis Seli T Saidizi - Helper T Cells Utangulizi wa Tabia za Kurithi - Introduction to Heredity Kemikali za Neuroni Synapsi - Neuronal Synapses Chemicals Usanisi wa Chakula katika Mmea - Photorespiration Chembe Chembe Nyekundu za Damu - Red Blood Cell Role of Phagocytes innate or Non Specific Immunity Swahili Aina za Kinga za Mwili - Overview of types of immune responses DNA Swahili Usanidinuru matokeo ya mwanga 2 - Photosynthesis: Light Reactions and Photophosphorylation.mp4
• ## Algebra:ck12.org Algebra 1 Examples

•  Solving Quadratic Equations by Square Roots Kuungana kwa hesabu - Distributive Property Example 1
•  Solving Quadratic Equations by Square Roots Kuungana kwa hesabu - Distributive Property Example 1
• ## Physics

•  2-dimensional momentum problem (part 2) Fluids (part 6) Mwendi Sauti 3 - Harmonic Motion Part 3 (no calculus) 2-dimensional momentum problem Gravitation (part 2) Utangulizi uwiano kuhusu mzigo na nguvu - Introduction to Mechanical Advantage Amplitude, Period, Frequency and Wavelength of Periodic Waves Intro to springs and Hooke's Law Nguvu mwendo - Moments Calculating dot and cross products with unit vector notation Introduction to Harmonic Motion Utangulizi mawimbi - Introduction to Wave Capacitance Introduction to Momentum Proof (Advanced): Field from infinite plate (part 1) Center of Mass Introduction to Newton's Law of Gravitation Kutanuka 2 - Tension (part 2) Circuits (part 2) Introduction to Torque Optimal angle for a projectile part 4 Circuits (part 1) Mach Numbers Work/Energy problem with Friction Circuits (part 4) Mechanical Advantage (part 2) Tension in an accelerating system and pie in the face Circuits (part 3) Mechanical Advantage (part 3 Mwelekeo mwandiko wa kitu kimoja - Unit Vector Notation Conservation of angular momentum Momentum: Ice skater throws a ball Mwendo joto 4 - Thermodynamics (part 4) Conservation of Energy Moving pulley problem (part 1) Mwendo joto 5 - Thermodynamics (part 5) Cross product 1 Optimal angle for a projectile part 2 - Hangtime Nguvu Mwendo 2 - Moments (part 2) Cross Product 2 Optimal angle for a projectile part 1 Utangulizi kuhusu kutanuka - Introduction to Tension Cross Product and Torque Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed) Kazi na Nguvu - Introduction to Work and Energy The dot product Potential energy stored in a spring Magnetism 6: Magnetic field due to current Electric Potential Energy Projectile Motion with Unit Vectors Utangulizi nguvu sumaku - Introduction to Magnetism Electrostatics (part 1): Introduction to Charge and Coulomb's Law Projectile Motion with Ordered Set Notation Usumaku 11 mtambo wa umeme - Magnetism 11: Electric Motors Electrostatics (part 2) Spring potential energy example (mistake in math): Usumako 9 mtambo wa umeme - Magnetism 9: Electric Motors Fluids (part 2) Thermodynamics (part 2) Usumaku 5 - Magnetism 5 Fluids (part 3) Thermodynamics (part 1) Proof Advanced Field from infinite plate part 2 Swahili Fluids (part 4) Thermodynamics (part 3) Usumaku 7 - Magnetism 7 Fluids (part 8) Unit Vector Notation (part 2) Usumaku 8 - Magnetism 8 Fluids (part 10) Voltage: Usumako 10 Mtambo wa umeme - Magnetism 10: Electric Motors Fluids part 11 Swahili When the source and the wave move at the same velocity Magnetism 12: Induced Current in a Wire Swahili Fluids (part 12) Fluids (part 7) Nguvu Sumaku 2 - Magnetism 2 Fluids (part 1) Fluids (part 9) Nguvu sumaku 3 - Magnetism 3 Fluids (part 5) Utangulizi mwendo sauti 2 - Harmonic Motion Part 2 (calculus) Doppler Effect Formula for Observed Frequency Swahili
•  2-dimensional momentum problem (part 2) 2-dimensional momentum problem Amplitude, Period, Frequency and Wavelength of Periodic Waves Calculating dot and cross products with unit vector notation Capacitance Center of Mass Circuits (part 2) Circuits (part 1) Circuits (part 4) Circuits (part 3) Conservation of angular momentum Conservation of Energy Cross product 1 Cross Product 2 Cross Product and Torque The dot product Electric Potential Energy Electrostatics (part 1): Introduction to Charge and Coulomb's Law Electrostatics (part 2) Fluids (part 2) Fluids (part 3) Fluids (part 4) Fluids (part 8) Fluids (part 10) Fluids part 11 Swahili Fluids (part 12) Fluids (part 1) Fluids (part 5) Fluids (part 6) Gravitation (part 2) Intro to springs and Hooke's Law Introduction to Harmonic Motion Introduction to Momentum Introduction to Newton's Law of Gravitation Introduction to Torque Mach Numbers Mechanical Advantage (part 2) Mechanical Advantage (part 3 Momentum: Ice skater throws a ball Moving pulley problem (part 1) Optimal angle for a projectile part 2 - Hangtime Optimal angle for a projectile part 1 Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed) Potential energy stored in a spring Projectile Motion with Unit Vectors Projectile Motion with Ordered Set Notation Spring potential energy example (mistake in math): Thermodynamics (part 2) Thermodynamics (part 1) Thermodynamics (part 3) Unit Vector Notation (part 2) Voltage: When the source and the wave move at the same velocity Fluids (part 7) Fluids (part 9) Utangulizi mwendo sauti 2 - Harmonic Motion Part 2 (calculus) Mwendi Sauti 3 - Harmonic Motion Part 3 (no calculus) Utangulizi uwiano kuhusu mzigo na nguvu - Introduction to Mechanical Advantage Nguvu mwendo - Moments Utangulizi mawimbi - Introduction to Wave Proof (Advanced): Field from infinite plate (part 1) Kutanuka 2 - Tension (part 2) Optimal angle for a projectile part 4 Work/Energy problem with Friction Tension in an accelerating system and pie in the face Mwelekeo mwandiko wa kitu kimoja - Unit Vector Notation Mwendo joto 4 - Thermodynamics (part 4) Mwendo joto 5 - Thermodynamics (part 5) Nguvu Mwendo 2 - Moments (part 2) Utangulizi kuhusu kutanuka - Introduction to Tension Kazi na Nguvu - Introduction to Work and Energy Magnetism 6: Magnetic field due to current Utangulizi nguvu sumaku - Introduction to Magnetism Usumaku 11 mtambo wa umeme - Magnetism 11: Electric Motors Usumako 9 mtambo wa umeme - Magnetism 9: Electric Motors Usumaku 5 - Magnetism 5 Proof Advanced Field from infinite plate part 2 Swahili Usumaku 7 - Magnetism 7 Usumaku 8 - Magnetism 8 Usumako 10 Mtambo wa umeme - Magnetism 10: Electric Motors Magnetism 12: Induced Current in a Wire Swahili Nguvu Sumaku 2 - Magnetism 2 Nguvu sumaku 3 - Magnetism 3 Doppler Effect Formula for Observed Frequency Swahili
• ## Algebra: Systems of equations and inequalities

•  Consistent and Inconsistent Systems Testing Solutions for a System of Inequalities Passing Trains Graphical System of Inequalities Testing a solution for a system of equations systems of equations Graphings Systems of Equations Systems of Three Variables 2 Two Passing Bicycles Word Problem Substitution Method 3 Officer on Horseback Addition Elimination Method 1 The Substitution Method Overtaking Word Problem Algebra: Linear Equations 2
•  Consistent and Inconsistent Systems Graphical System of Inequalities Graphings Systems of Equations Substitution Method 3 The Substitution Method Testing Solutions for a System of Inequalities Testing a solution for a system of equations Systems of Three Variables 2 Officer on Horseback Overtaking Word Problem Passing Trains systems of equations Two Passing Bicycles Word Problem Addition Elimination Method 1 Algebra: Linear Equations 2
• ## Algebra: Logarithms

•  Calculator for Natural Logarithms Sum of Logarithms with Same Base Graphing Natural Logarithm Function Logarithm of a Power Using Multiple Logarithm Properties to Simplify Logarithmic Scale Logarithmic Equations Proof: A(log B) = log (B^A), log A - log B = log (A/B) Natural Logarithm with a Calculator Introduction to Logarithms
•  Calculator for Natural Logarithms Logarithm of a Power Logarithmic Equations Natural Logarithm with a Calculator Sum of Logarithms with Same Base Using Multiple Logarithm Properties to Simplify Proof: A(log B) = log (B^A), log A - log B = log (A/B) Introduction to Logarithms Graphing Natural Logarithm Function Logarithmic Scale

• ## Algebra: Polynomials

•  Monomial Greatest Common Factor Terms coefficients and exponents in a polynomial More multiplying polynomials Factoring trinomials with a non-1 leading coefficient by grouping Subtracting polynomials with multiple variables Level 1 multiplying expressions Factoring trinomials with a common factor Subtracting Polynomials Multiplying Polynomials 1 Factoring the Difference of Cubes Square a Binomial Multiplying and Dividing Monomials 2 Factoring Sum of Cubes Simply a polynomial Adding and Subtracting Polynomials 2 Factoring perfect square trinomials Rationalizing Denominators of Expressions Adding and Subtracting Polynomials 1 Factoring difference of squares Polynomial divided by monomial Interesting Polynomial Coefficient Problem swahili Evaluating a polynomial at a given value Opposite of a Polynomial Kuguwanya na Rahisisha Uwiano 1 - Multiplying and Simplifying Rational Expressions Dividing polynomials 1 Multiplying Polynomials Simplifying First for Subtracting Rational Expressions Dividing multivariable polynomial with monomial Multiplying Monomials by Polynomials Mtazamo wa Hesabu za Kutoa - Subtracting Rational Expressions Dividing Monomials Multiplying Monomials Factoring Trinomials With a Leading 1 Coefficient Adding polynomials with multiple variables Multiplying Binomials with Radicals Adding Polynomials Multiplying Binomials
•  Monomial Greatest Common Factor Factoring trinomials with a non-1 leading coefficient by grouping Factoring trinomials with a common factor Factoring the Difference of Cubes Factoring Sum of Cubes Factoring perfect square trinomials Factoring difference of squares Evaluating a polynomial at a given value Dividing polynomials 1 Dividing multivariable polynomial with monomial Dividing Monomials Adding polynomials with multiple variables Adding Polynomials Terms coefficients and exponents in a polynomial Subtracting polynomials with multiple variables Subtracting Polynomials Square a Binomial Simply a polynomial Rationalizing Denominators of Expressions Polynomial divided by monomial Opposite of a Polynomial Multiplying Polynomials Multiplying Monomials by Polynomials Multiplying Monomials Multiplying Binomials with Radicals Multiplying Binomials More multiplying polynomials Level 1 multiplying expressions Multiplying Polynomials 1 Multiplying and Dividing Monomials 2 Adding and Subtracting Polynomials 2 Adding and Subtracting Polynomials 1 Interesting Polynomial Coefficient Problem swahili Kuguwanya na Rahisisha Uwiano 1 - Multiplying and Simplifying Rational Expressions Simplifying First for Subtracting Rational Expressions Mtazamo wa Hesabu za Kutoa - Subtracting Rational Expressions Factoring Trinomials With a Leading 1 Coefficient
• ## Algebra: Complex Number

•  Complex Numbers (part 2) Complex Numbers (part 1)
•  Complex Numbers (part 2) Complex Numbers (part 1)
• ## Algebra: Ratios & proportions

•  Alternate Solution to Ratio Problem (HD Version) Unit conversion Kutafuta Uwiano Mlinganyo 3 - Solving Rational Equation 3 More advanced ratio problem--with Algebra (HD version) More rigorous Gibbs Free Energy/ Spontaneity Relationship Tumia Mlinganyo Uwiano 1 - Applying Rational Equations 1 Ratio problem with basic algebra (new HD) Understanding Proportions Kulinganisha vipimo vya joto - Comparing Celsius and Farenheit Temperature Scales U.S. Customary and Metric units Kulinganisha sehemu: Conversion between Metric Units Kubadilisha vipimo - Converting Gallons to quarts pints and cups Ratios as Fractions in Simplest Form Tumia Mlingayo Uwiano - Applying Rational Equation 3 Kutafuta bei ya kitu - Finding Unit Prices Simplifying Rates and Ratios Kutumia Mlinganyo Uwiano 2 - Applying Rational Equations 2 Kutafuta kiasi - Finding Unit Rates Converting pounds to ounces Njia Zisizo Mbadala za Kutafuta Mlinganyo - Extraneous Solutions to Rational Equations Hesabu za uzito na ujazo - Perfoming Arithmetic Calculations on Units of Volume Converting within the metric system Kutafuta Mlinganyo - Rational Equations Vipimo vya urefu - Converting Units of Length Introduction to Ratios (new HD version) Kutafuta Uwiano Mlinganyo 1 - Solving Rational Equations 1 Perimeter and Unit Conversion Kutafuta Uwiano Mlinganyo 2 - Solving Rational Equation 2
•  Alternate Solution to Ratio Problem (HD Version) More advanced ratio problem--with Algebra (HD version) Ratio problem with basic algebra (new HD) U.S. Customary and Metric units Ratios as Fractions in Simplest Form Simplifying Rates and Ratios Converting pounds to ounces Converting within the metric system Introduction to Ratios (new HD version) Perimeter and Unit Conversion Unit conversion More rigorous Gibbs Free Energy/ Spontaneity Relationship Understanding Proportions Kulinganisha sehemu: Conversion between Metric Units Tumia Mlingayo Uwiano - Applying Rational Equation 3 Kutumia Mlinganyo Uwiano 2 - Applying Rational Equations 2 Njia Zisizo Mbadala za Kutafuta Mlinganyo - Extraneous Solutions to Rational Equations Kutafuta Mlinganyo - Rational Equations Kutafuta Uwiano Mlinganyo 1 - Solving Rational Equations 1 Kutafuta Uwiano Mlinganyo 2 - Solving Rational Equation 2 Kutafuta Uwiano Mlinganyo 3 - Solving Rational Equation 3 Tumia Mlinganyo Uwiano 1 - Applying Rational Equations 1 Kulinganisha vipimo vya joto - Comparing Celsius and Farenheit Temperature Scales Kubadilisha vipimo - Converting Gallons to quarts pints and cups Kutafuta bei ya kitu - Finding Unit Prices Kutafuta kiasi - Finding Unit Rates Hesabu za uzito na ujazo - Perfoming Arithmetic Calculations on Units of Volume Vipimo vya urefu - Converting Units of Length
• ## Chemistry

•  A look at a seductive but wrong Gibbs/Spontaneity Proof More on Entropy Swahili Orbitals Swahili Acid Base Titration Carnot Efficiency 3: Proving that it is the most efficient Swahili More on orbitals and electron configuration Swahili Buffers and Hendersen-Hasselbalch Swahili Valence Electrons Swahili More on Internal Energy Swahili Carnot Efficiency 2: Reversing the Cycle Work from Expansion Swahili Le Chatelier's Principle Swahili Another Stoichiometry Example in a Solution Swahili Weak Acid Titration Swahili Molecular and Empirical Formulas Swahili Change of State Example Swahili Van Der Waals Forces Swahili Boiling Point Elevation and Freezing Point Supression Swahili Covalent Networks, Metallic, and Ionic Crystals Swahili Efficiency of a Carnot Engine Swahili Balancing Chemical Equations Swahili Electron Configurations Swahili Titration Roundup Swahili Conjugate Acids and Bases Swahili Enthalpy Swahili Suspensions, Colloids and Solutions Swahili Electron Configurations 2 Swahili Gibbs Free Energy Example Swahili Strong Acid Titration Swahili Hydrogen Peroxide Correction Swahili Groups of the Periodic Table Swahili Stoichiometry Swahiili Introduction to Kinetics Swahili Half Equivalence Point Swahili Stoichiometry of a Reaction in Solution Swahili Hali ya maada: States of Matter Half-Life Swahili Stoichiometry: Limiting Reagent Swahili Gibbs nishati huru na hiari - Gibbs Free Energy and Spontaneity Heat of Formation Swahili Stoichiometry Example Problem 1 Swahili Namba za asidi dhaifu - pH of a Weak Acid Hess's Law Example Swahili States of Matter Follow-Up Swahili Mfano wa Kutafuta badiliko katika jarabati la majaribio- Example of Finding Reactant Swahili Heterogenous Equilibrium Swahili Specific Heat, Heat of Fusion and Vaporization Swahili Utangulizi kuhusu asidi na alkali - Acid Base Introduction Swahili Ideal Gas Equation Example 2 Swahili Spectrophotometry Introduction Swahili Utangulizi kuhusu hali ya uoksidishaji - Introduction to Oxidation States Swahili Ideal Gas Equation: PV=nRT Swahili Redox Reactions Swahili Utangulizi kuhusu atom - Introduction to the Atom Swahili Ideal Gas Equation Example 1 Swahili Reactions in Equilibrium Swahili Utafutaji uhusiano katika mfano wa mafumbo 2 - Stoichiometry Example Problem 2 Ideal Gas Equation Example 3 Swahili pKa and pKb Relationship Swahili Empirical and Molecular Formulas from Stoichiometry Introduction to Exponential Decay Swahili PV-diagrams and Expansion Work Swahili Molecular and Empirical Forumlas from Percent Composition Swahili Maxwell's Demon Swahili pH, pOH of Strong Acids and Bases Swahili thermodynamic entropy definition and clarification swahili The Mole and Avogadro's Number Swahili Periodic Table Trends: Ionization Energy Swahili More Exponential Decay Examples Swahili pH of a Weak Base Swahili
•  A look at a seductive but wrong Gibbs/Spontaneity Proof Acid Base Titration Buffers and Hendersen-Hasselbalch Swahili Carnot Efficiency 2: Reversing the Cycle Another Stoichiometry Example in a Solution Swahili Change of State Example Swahili Covalent Networks, Metallic, and Ionic Crystals Swahili Electron Configurations Swahili Enthalpy Swahili Gibbs Free Energy Example Swahili Groups of the Periodic Table Swahili Half Equivalence Point Swahili Half-Life Swahili Heat of Formation Swahili Hess's Law Example Swahili Heterogenous Equilibrium Swahili Ideal Gas Equation Example 2 Swahili Ideal Gas Equation: PV=nRT Swahili Ideal Gas Equation Example 1 Swahili Ideal Gas Equation Example 3 Swahili Introduction to Exponential Decay Swahili Maxwell's Demon Swahili The Mole and Avogadro's Number Swahili More Exponential Decay Examples Swahili More on Entropy Swahili Carnot Efficiency 3: Proving that it is the most efficient Swahili Valence Electrons Swahili Work from Expansion Swahili Weak Acid Titration Swahili Van Der Waals Forces Swahili Efficiency of a Carnot Engine Swahili Titration Roundup Swahili Suspensions, Colloids and Solutions Swahili Strong Acid Titration Swahili Stoichiometry Swahiili Stoichiometry of a Reaction in Solution Swahili Stoichiometry: Limiting Reagent Swahili Stoichiometry Example Problem 1 Swahili States of Matter Follow-Up Swahili Specific Heat, Heat of Fusion and Vaporization Swahili Spectrophotometry Introduction Swahili Redox Reactions Swahili Reactions in Equilibrium Swahili pKa and pKb Relationship Swahili PV-diagrams and Expansion Work Swahili pH, pOH of Strong Acids and Bases Swahili Periodic Table Trends: Ionization Energy Swahili pH of a Weak Base Swahili Orbitals Swahili More on orbitals and electron configuration Swahili More on Internal Energy Swahili Le Chatelier's Principle Swahili Molecular and Empirical Formulas Swahili Boiling Point Elevation and Freezing Point Supression Swahili Balancing Chemical Equations Swahili Conjugate Acids and Bases Swahili Electron Configurations 2 Swahili Hydrogen Peroxide Correction Swahili Introduction to Kinetics Swahili Hali ya maada: States of Matter Gibbs nishati huru na hiari - Gibbs Free Energy and Spontaneity Namba za asidi dhaifu - pH of a Weak Acid Mfano wa Kutafuta badiliko katika jarabati la majaribio- Example of Finding Reactant Swahili Utangulizi kuhusu asidi na alkali - Acid Base Introduction Swahili Utangulizi kuhusu hali ya uoksidishaji - Introduction to Oxidation States Swahili Utangulizi kuhusu atom - Introduction to the Atom Swahili Utafutaji uhusiano katika mfano wa mafumbo 2 - Stoichiometry Example Problem 2 Empirical and Molecular Formulas from Stoichiometry Molecular and Empirical Forumlas from Percent Composition Swahili thermodynamic entropy definition and clarification swahili
• ## Algebra: Graphing linear equations and inequalities

•  Algebra: Equation of a line Graphing Inequalities 2 Plot ordered pairs Algebra: graphing lines 1 Graphing using X and Y intercepts Ordered pair solutions of equations Algebra: Slope 2 Parallel Line Equation Algebra: Slope Slope and Y-intercept Intuition Equation of a line 3 Algebra slope 3 Slope of a Line 2 Graphical Slope of a Line Algebra: Linear Equations 1 Slope of a Line 3 Quadrants of Coordinate Plane Algebra: Linear Equations 3 Graphing Inequalities 1 Application problem with graph Algebra: Linear Equations 4 Plotting (x,y) relationships Equation of a line 1 Solving One-Step Equations
•  Algebra: Equation of a line Algebra: graphing lines 1 Algebra: Slope 2 Slope and Y-intercept Intuition Slope of a Line 2 Slope of a Line 3 Graphing Inequalities 1 Plotting (x,y) relationships Graphing Inequalities 2 Graphing using X and Y intercepts Parallel Line Equation Equation of a line 3 Graphical Slope of a Line Quadrants of Coordinate Plane Application problem with graph Equation of a line 1 Plot ordered pairs Ordered pair solutions of equations Algebra: Slope Algebra slope 3 Algebra: Linear Equations 1 Algebra: Linear Equations 3 Algebra: Linear Equations 4 Solving One-Step Equations
• ## Algebra:Solving Linear Equations

•  Age word problems 3 Taking percentages One step inequalities 2 Age word problems 1 Solving Equations with the Distributive Property One-step inequalities Another Percent Word Problem Solving for a Variable 2 Order of operations example Averages Inequalities on a number line Solving One-Step Equations 2 Early Train Word Problem Inequalities using addition and subtraction Patterns in Sequences 1 Growing by a percentage Inequalities using multiplication and division Muunganiko tofauti - Compound Inequalities More percent problems Interpreting inequalities Variables Expressions and Equations Simple Equations Multi-Step Inequalities 2 Variables on both sides Solving Equations 2 Multi-step inequalities
•  Age word problems 3 Age word problems 1 Another Percent Word Problem Averages Early Train Word Problem Growing by a percentage More percent problems Simple Equations Solving Equations 2 Taking percentages Solving Equations with the Distributive Property Solving for a Variable 2 Inequalities on a number line Inequalities using addition and subtraction Inequalities using multiplication and division Interpreting inequalities Multi-Step Inequalities 2 Multi-step inequalities One step inequalities 2 One-step inequalities Order of operations example Solving One-Step Equations 2 Patterns in Sequences 1 Muunganiko tofauti - Compound Inequalities Variables Expressions and Equations Variables on both sides
• ## Differential Equations

•  2nd Order Linear Homogeneous Differential Equations 1 Complex roots of the characteristic equations 3 Laplace Transform 6 2nd Order Linear Homogeneous Differential Equations 2 Dirac Delta Function Laplace Transform of : L{t} 2nd Order Linear Homogeneous Differential Equations 3 Exact Equations Example 1 Laplace Transform of the Dirac Delta Function 2nd Order Linear Homogeneous Differential Equations 4 Exact Equations Example 2 Laplace Transform of the Unit Step Function First order homegenous equations Exact Equations Example 3 Laplace Transform solves an equation 2 First order homogenous equations 2 Exact Equations Intuition 1 (proofy) Laplace Transform to solve an equation What is a differential equation Exact Equations Intuition 2 (proofy) More Laplace Transform tools Integrating factors 1 Introduction to the Convolution Repeated roots of the characteristic equation Integrating factors 2 Inverse Laplace Examples Repeated roots of the characterisitic equations part 2 Undetermined Coefficients 1 Laplace/Step Function Differential Equation Separable Differential Equations Undetermined Coefficients 2 Laplace Transform 1 Separable differential equations 2 Undetermined Coefficients 3 Laplace Transform 2 The Convolution and the Laplace Transform Undetermined Coefficients 4 Laplace Transform 3 (L{sin(at)}) Using the Convolution Theorem to Solve an Initial Value Prob Complex roots of the characteristic equations 1 Laplace Transform 4 Using the Laplace Transform to solve a nonhomogenous eq Complex roots of the characteristic equations 2 Laplace Transform 5 Laplace Transform of t^n: L{t^n}
•  2nd Order Linear Homogeneous Differential Equations 1 2nd Order Linear Homogeneous Differential Equations 2 2nd Order Linear Homogeneous Differential Equations 3 2nd Order Linear Homogeneous Differential Equations 4 First order homegenous equations First order homogenous equations 2 What is a differential equation Integrating factors 1 Integrating factors 2 Undetermined Coefficients 1 Undetermined Coefficients 2 Undetermined Coefficients 3 Undetermined Coefficients 4 Complex roots of the characteristic equations 1 Complex roots of the characteristic equations 2 Complex roots of the characteristic equations 3 Dirac Delta Function Exact Equations Example 1 Exact Equations Example 2 Exact Equations Example 3 Exact Equations Intuition 1 (proofy) Exact Equations Intuition 2 (proofy) Introduction to the Convolution Inverse Laplace Examples Laplace/Step Function Differential Equation Laplace Transform 1 Laplace Transform 2 Laplace Transform 3 (L{sin(at)}) Laplace Transform 4 Laplace Transform 5 Laplace Transform 6 Laplace Transform of : L{t} Laplace Transform of the Dirac Delta Function Laplace Transform of the Unit Step Function Laplace Transform solves an equation 2 Laplace Transform to solve an equation More Laplace Transform tools Repeated roots of the characteristic equation Repeated roots of the characterisitic equations part 2 Separable Differential Equations Separable differential equations 2 The Convolution and the Laplace Transform Using the Convolution Theorem to Solve an Initial Value Prob Using the Laplace Transform to solve a nonhomogenous eq Laplace Transform of t^n: L{t^n}
• ## Arithmetic and Pre-Algebra: Decimals

•  Multiplication 8: Multiplying decimals (Old video) Subtracting Mixed Numbers 2 Adding fractions (ex 1) Dividing decimal Subtracting Mixed Numbers Word Problem Comparing Decimals Dividing Decimals 2.1 Multiplying Decimals Converting decimals to percents (ex 2) Dividing Decimals multiplying decimals 3 Converting decimals to percents (ex 1) Percent and decimals Adding Decimals Subtracting decimals (old) Multiplying Fractions Decimals Place Value 2 Adding Mixed Numbers Word Problem Adding decimals of different signs word problem
•  Multiplication 8: Multiplying decimals (Old video) Dividing decimal Dividing Decimals 2.1 Dividing Decimals Percent and decimals Multiplying Fractions Adding Mixed Numbers Word Problem Subtracting Mixed Numbers 2 Subtracting Mixed Numbers Word Problem Multiplying Decimals multiplying decimals 3 Adding Decimals Decimals Place Value 2 Adding decimals of different signs word problem Adding fractions (ex 1) Comparing Decimals Converting decimals to percents (ex 2) Converting decimals to percents (ex 1) Subtracting decimals (old)
• ## Arithmetic and Pre-Algebra: Fractions

•  Converting fractions to decimals Subtracting Decimals Word Problem Dividing Positive and Negative Numbers Equivalent Fractions Example Multiplying Whole Numbers and Applications 2 Finding Common Denominators Equivalent fractions Adding Fractions with Like Denominators Proper and Improper Fractions Mixed numbers and improper fractions Adding and subtracting fractions Points on a number line Changing an Improper Fraction to a Mixed Number Dividing Fractions Example Ordering numeric expressions Dividing Mixed Numbers Dividing Fractions Word Problem Ordering improper fractions and mixed numbers Estimation with Decimals Fractions in lowest terms Swahili Ordering Fractions Identifying Fraction Parts Mafumbo kuzidisha sehemu - Multiplying Fractions Word Problem Adding mixed numbers Swahili Identity Property of 1 Adding subtracting mixed numbers 0.5 (ex 2) Adding mixed numbers with unlike denominators Swahili Numerator and Denominator of a Fraction Adding fractions with different signs Kutoa sehemu - Subtracting Fractions Reciprocal of a Mixed Number Adding subtracting mixed numbers 1 (ex 1) Representing a number as a decimal, percent, and fraction Recognizing Divisibility Adding subtracting mixed numbers 0.5 (ex 1) multiplying fractions and mixed numbers Swahili Representing a number as a decimal, percent, and fraction 2 Comparing improper fractions and mixed numbers Multiplying Mixed Numbers Swahili Rounding Decimals Converting fractions to decimals (ex1) Dividing fractions Rounding Whole Numbers 1 Converting fractions to decimals (ex2) Kutoa namba mchanganyiko - Subtracting mixed numbers
•  Converting fractions to decimals Equivalent Fractions Example Equivalent fractions Mixed numbers and improper fractions Changing an Improper Fraction to a Mixed Number Dividing Mixed Numbers Estimation with Decimals Identifying Fraction Parts Identity Property of 1 Numerator and Denominator of a Fraction Reciprocal of a Mixed Number Recognizing Divisibility Representing a number as a decimal, percent, and fraction 2 Rounding Decimals Rounding Whole Numbers 1 Subtracting Decimals Word Problem Multiplying Whole Numbers and Applications 2 Adding Fractions with Like Denominators Adding and subtracting fractions Dividing Fractions Example Dividing Fractions Word Problem Fractions in lowest terms Swahili Mafumbo kuzidisha sehemu - Multiplying Fractions Word Problem Adding subtracting mixed numbers 0.5 (ex 2) Adding fractions with different signs Adding subtracting mixed numbers 1 (ex 1) Adding subtracting mixed numbers 0.5 (ex 1) Comparing improper fractions and mixed numbers Converting fractions to decimals (ex1) Converting fractions to decimals (ex2) Dividing Positive and Negative Numbers Finding Common Denominators Proper and Improper Fractions Points on a number line Ordering numeric expressions Ordering improper fractions and mixed numbers Ordering Fractions Adding mixed numbers Swahili Adding mixed numbers with unlike denominators Swahili Kutoa sehemu - Subtracting Fractions Representing a number as a decimal, percent, and fraction multiplying fractions and mixed numbers Swahili Multiplying Mixed Numbers Swahili Dividing fractions Kutoa namba mchanganyiko - Subtracting mixed numbers
• ## Arithmetic and Pre-Algebra: Factors and multiples

•  Least Common Multiple Finding Factors of a Number Divisibility Tests for 2, 3, 4, 5, 6, 9, 10 Greatest Common Divisor Prime Numbers Example: Multiplying numbers with different signs Prime Factorization Recognizing Prime Numbers Divisibility Intuition
•  Least Common Multiple Greatest Common Divisor Prime Factorization Finding Factors of a Number Prime Numbers Recognizing Prime Numbers Divisibility Tests for 2, 3, 4, 5, 6, 9, 10 Example: Multiplying numbers with different signs Divisibility Intuition
• ## Arithmetic and Pre-Algebra: Multiplication and division

•  Multiplication 7: Old video giving more examples Rounding Whole Numbers 2 Mfano wa kuzidisha - Example: 1-digit multiplication word problem Partial Quotient Method of Division 2 Division 1 Mfani njia za kuwasilisha kuzidisha - Example ways to represent multiplication Division 3 Place Value 1 Mfano kuguwanya kwa njia ya vigao - Example Expressing Division in Multiple Ways Level 4 division Division 2 Mfano kuzidisha namba mbili - Example two-digit multiplication Multiplication 3: 10,11,12 times tables Multiplication 4: 2-digit times 1-digit number Mfano namba mbili mara namba - Example: 2-digit time 2-digit Multiplication 6: Multiple Digit Numbers Rounding Whole Numbers 3 Multiplication 5: 2-digit times a 2-digit number Basic Multiplication Place Value 2 Multiplication 8: Multiplying decimals (Old video) Lattice Multiplication Multiplying Whole Numbers and Applications 1 Multiplying Positive and Negative Numbers Multiplication 2: The Multiplication Tables Kulinganisha sehemu: Comparing Fractions Partial quotient division swahili Why Lattice Multiplication Works Hesabu za desimali na sehemu - Decimals and Fractions Division 3: More long division and remainder examples Kuweka Thamani - Place Value 3
•  Multiplication 7: Old video giving more examples Partial Quotient Method of Division 2 Division 3 Level 4 division Multiplication 3: 10,11,12 times tables Multiplication 6: Multiple Digit Numbers Basic Multiplication Lattice Multiplication Multiplication 2: The Multiplication Tables Why Lattice Multiplication Works Division 3: More long division and remainder examples Rounding Whole Numbers 2 Division 1 Place Value 1 Division 2 Multiplication 4: 2-digit times 1-digit number Rounding Whole Numbers 3 Place Value 2 Multiplying Whole Numbers and Applications 1 Kulinganisha sehemu: Comparing Fractions Hesabu za desimali na sehemu - Decimals and Fractions Kuweka Thamani - Place Value 3 Mfano wa kuzidisha - Example: 1-digit multiplication word problem Mfani njia za kuwasilisha kuzidisha - Example ways to represent multiplication Mfano kuguwanya kwa njia ya vigao - Example Expressing Division in Multiple Ways Mfano kuzidisha namba mbili - Example two-digit multiplication Mfano namba mbili mara namba - Example: 2-digit time 2-digit Multiplication 5: 2-digit times a 2-digit number Multiplication 8: Multiplying decimals (Old video) Multiplying Positive and Negative Numbers Partial quotient division swahili
• ## Arithmetic and Pre-Algebra: Addition and subtraction

•  Addition 2 Level 2 Addition Adding integers with different signs Addition 3 Adding Whole Numbers and Applications 1 Negative Numbers Introduction Why borrowing works Subtracting Whole Numbers Example: 2-digit subtraction (no borrowing) Basic Addition Adding Fractions with Unlike Denominators Mfano kujumlisha namba mbili - Example: Adding two digit numbers (no carrying) Alternate mental subtraction method Kuzidisha namba nzima - Multiplying Whole Numbers and Applications 4 Subtraction 3: Introduction to Borrowing or Regrouping Level 4 Subtraction Adding/Subtracting negative numbers Basic Subtraction Subtraction Word Problem Adding Negative Numbers Subtraction 2
•  Addition 2 Addition 3 Why borrowing works Basic Addition Alternate mental subtraction method Level 4 Subtraction Subtraction Word Problem Level 2 Addition Adding Whole Numbers and Applications 1 Subtracting Whole Numbers Adding Fractions with Unlike Denominators Kuzidisha namba nzima - Multiplying Whole Numbers and Applications 4 Adding/Subtracting negative numbers Adding Negative Numbers Adding integers with different signs Negative Numbers Introduction Example: 2-digit subtraction (no borrowing) Mfano kujumlisha namba mbili - Example: Adding two digit numbers (no carrying) Subtraction 3: Introduction to Borrowing or Regrouping Basic Subtraction Subtraction 2
• ## Algebra: Functions

•  Function Inverse Example 1 Functions Part 2 Graphical Relations and Functions Function Inverses Example 3 Relations and Functions Graphing Exponential Functions Function Inverses Example 2 Difference of Functions Product of Functions Introduction to Function Inverses Domain of a Radical Function Sum of Functions Domain of a function Domain and Range of a Relation Introduction to functions Functions (Part III) Domain and Range of a Function Given a Formula Quotient of Functions Functions (part 4) Evaluating Functions hesabu za quadratic - Quadratic functions 3
•  Function Inverse Example 1 Function Inverses Example 3 Function Inverses Example 2 Introduction to Function Inverses Domain of a function Functions (Part III) Functions (part 4) Functions Part 2 Relations and Functions Difference of Functions Domain of a Radical Function Domain and Range of a Relation Domain and Range of a Function Given a Formula Evaluating Functions Graphical Relations and Functions Graphing Exponential Functions Product of Functions Sum of Functions Introduction to functions Quotient of Functions hesabu za quadratic - Quadratic functions 3
• ## Algebra: Conic sections

•  Conic Sections: Hyperbolas 2 Conic Sections: Intro to Ellipses Identifying Conics 2 Conic Sections: Intro to Circles Foci of an Ellipse Introduction to Conic Sections
•  Conic Sections: Hyperbolas 2 Conic Sections: Intro to Circles Conic Sections: Intro to Ellipses Foci of an Ellipse Identifying Conics 2 Introduction to Conic Sections
• ## Calculus

•  Introduction to Limits Indefinite Integration (part IV) Integral Mbili 5 - Double Integrals 5 Limit Examples (part 1) Integrals: Trig Substitution 1 Integral Mbili 6 - Double Integrals 6 Limit Examples (part 2) Integration by Parts (part 6 of Indefinite Integration) Ladder Rate-of-Change Problem Limit Examples (part3) Introduction to Rate-of-Change Problems L'Hopital's Rule Example 2 Proof: lim (sin x)/x More Chain Rule and Implicit Differentiation Intuition L'Hopital's Rule Example 1 Squeeze Theorem More Implicit Differentiation Calculus: Maximum and Minimum Values on an Interval Exponential Growth Product Rule Polynomial Approximation of Functions (Part 2) Sequences and Series (part 1) Proof: d/dx(sqrt(x)) Polynomial Approximation of Functions (part 1) Sequences and series (part 2) Proofs of Derivatives of Ln(x) and e^x Polynomial Approximation of Functions (part 4) More Limits Quotient Rule Polynomial Approximation of Functions (Part 6) Limit Examples w/ brain malfunction on first prob (part 4) Rates-of-Change (part 2) Polynomial Approximations of Functions (Part 5) Calculus: Derivative of x^(x^x) The Chain Rule Proof: d/dx(ln x) = 1/x Calculus: Derivatives 1 The Indefinite Integral or Anti-derivative Proof: d/dx(x^n) Calculus: Derivatives 2.5 calculus BC 2008 2 A Proof: d/dx(e^x) = e^x Calculus: Derivatives 2 Calculus Grafu Kwakutumia Derivativu - Calculus Graphing Using Derivatives Mlinganyo wa mstari wa tngent - Equation of a Tangent Line Calculus: Derivatives 2 (new HD version) Curl 2 Kutofautisha - Implicit Differentiation Calculus: Derivatives 3 Curl 3 Introduction to L'Hopital's Rule Definite integral with substitution Definite integrals (part II) Utangulizi wa integral za uhakika - Introduction to definite integrals Even More Chain Rule Uhakiki wa Integral Sehemuya IV - Definite Integral (Part 4) Approximating Functions with Polynomials Part 3 Indefinite integrals (part II) Definite Integrals (area under the curve) (part III) calculus bc 2008 2 b c Indefinite Integration (part V) Derivatives (part-9) integrals-trig-substitution-2-swahili Indefinite Integration (part 7) Integral Mbili 3 - Double Integrals 3 Integrals: Trig Substitution 3 (long problem) Indefinite Integration (part III) Integral Mbili 4 - Double Integrals 4
•  Introduction to Limits Limit Examples (part 1) Limit Examples (part 2) Limit Examples (part3) Proof: lim (sin x)/x Squeeze Theorem Exponential Growth Sequences and Series (part 1) Sequences and series (part 2) More Limits Limit Examples w/ brain malfunction on first prob (part 4) Calculus: Derivative of x^(x^x) Calculus: Derivatives 1 Calculus: Derivatives 2.5 Calculus: Derivatives 2 Calculus: Derivatives 2 (new HD version) Calculus: Derivatives 3 Definite integral with substitution Even More Chain Rule Indefinite integrals (part II) Indefinite Integration (part V) Indefinite Integration (part 7) Indefinite Integration (part III) Indefinite Integration (part IV) Integrals: Trig Substitution 1 Integration by Parts (part 6 of Indefinite Integration) Introduction to Rate-of-Change Problems More Chain Rule and Implicit Differentiation Intuition More Implicit Differentiation Product Rule Proof: d/dx(sqrt(x)) Proofs of Derivatives of Ln(x) and e^x Quotient Rule Rates-of-Change (part 2) The Chain Rule The Indefinite Integral or Anti-derivative calculus BC 2008 2 A Calculus Grafu Kwakutumia Derivativu - Calculus Graphing Using Derivatives Curl 2 Curl 3 Definite integrals (part II) Uhakiki wa Integral Sehemuya IV - Definite Integral (Part 4) Definite Integrals (area under the curve) (part III) Derivatives (part-9) Integral Mbili 3 - Double Integrals 3 Integral Mbili 4 - Double Integrals 4 Integral Mbili 5 - Double Integrals 5 Integral Mbili 6 - Double Integrals 6 Ladder Rate-of-Change Problem L'Hopital's Rule Example 2 L'Hopital's Rule Example 1 Calculus: Maximum and Minimum Values on an Interval Polynomial Approximation of Functions (Part 2) Polynomial Approximation of Functions (part 1) Polynomial Approximation of Functions (part 4) Polynomial Approximation of Functions (Part 6) Polynomial Approximations of Functions (Part 5) Proof: d/dx(ln x) = 1/x Proof: d/dx(x^n) Proof: d/dx(e^x) = e^x Mlinganyo wa mstari wa tngent - Equation of a Tangent Line Kutofautisha - Implicit Differentiation Introduction to L'Hopital's Rule Utangulizi wa integral za uhakika - Introduction to definite integrals Approximating Functions with Polynomials Part 3 calculus bc 2008 2 b c integrals-trig-substitution-2-swahili Integrals: Trig Substitution 3 (long problem)
• ## Geometry: Basic geometry

•  Circles: Radius, Diameter and Circumference Cylinder Volume and Surface Area Area and Perimeter Perimeter and Area Basics Solid Geometry Volume
•  Circles: Radius, Diameter and Circumference Perimeter and Area Basics Cylinder Volume and Surface Area Solid Geometry Volume Area and Perimeter
• ## Geometry: Angles

•  Inscribed and Central Angles Two column proof showing segments are perpendicular Proof - Corresponding Angle Equivalence Implies Parallel Lines The Angle Game Triangle Angle Example 2 Finding more angles Introduction to angles (old) Proof-Vertical Angles are Equal Measuring Angles Angles (part 3) inradius perimeter and area Angle Bisector Theorem Proof Angles formed between transversals and parallel lines Proof - Sum of Measures of Angles in a Triangle are 180 Angles Formed by Parallel Lines and Transversals Angles of parallel lines 2 More on why SSA is not a postulate Angles at the intersection of two lines Angle Game (part 2) Complementary and Supplementary Angles Angle Bisector Theorem Examples Measuring Angles in Degrees Point Line Distance and Angle Bisectors Angle Basics Triangle Angle Example 1 Perpendicular Radius Bisects Chord Acute Right and Obtuse Angles Using a Protractor Triangle Angle Example 3 Angles (part 2)
•  Inscribed and Central Angles The Angle Game Introduction to angles (old) Angles (part 3) Angles formed between transversals and parallel lines Angles of parallel lines 2 Angle Game (part 2) Measuring Angles in Degrees Triangle Angle Example 1 Using a Protractor Two column proof showing segments are perpendicular Triangle Angle Example 2 Proof-Vertical Angles are Equal inradius perimeter and area Proof - Sum of Measures of Angles in a Triangle are 180 More on why SSA is not a postulate Complementary and Supplementary Angles Point Line Distance and Angle Bisectors Perpendicular Radius Bisects Chord Triangle Angle Example 3 Proof - Corresponding Angle Equivalence Implies Parallel Lines Finding more angles Measuring Angles Angle Bisector Theorem Proof Angles Formed by Parallel Lines and Transversals Angles at the intersection of two lines Angle Bisector Theorem Examples Angle Basics Acute Right and Obtuse Angles Angles (part 2)
• ## Geometry: Triangles

•  Similar triangles Exploring Medial Triangles Challenging Similarity Problem The Pythagorean Theorem Incenter and incircles of a triangle Challenging Triangle Angle Problem Similar triangles (part 2) Finding Congruent Triangles 30-60-90 Triangle Side Ratios Proof Right Triangles Inscribed in Circles (Proof) Figuring out all the angles for congruent triangles example 45-45-90 Triangle Side Ratios Pythagorean Theorem II Euler Line 30-60-90 Triangle Example Problem Heron's Formula Equilateral Triangle Sides and Angles Congruent Another Isosceles Example Problem Area of Diagonal Generated Triangles of Rectangle are Equal Triangle Area Proofs Area of Koch Snowflake (part 2) - Advanced 45-45-90 Triangles Similar Triangle Example Problems Area of Koch Snowflake (part 1) - Advanced 30-60-90 Triangles II Example involving an isosceles triangle and parallel lines Area of an Equilateral Triangle Other Triangle Congruence Postulates Equilateral and Isosceles Example Problems Congruent Triangle Proof Example Congruent Triangle Example 2 Congruent Triangles and SSS Circumcenter of a Right Triangle Median Centroid Right Triangle Example SSS to Show a Radius is Perpendicular to a Chord that it Bisects Proof - Triangle Altitudes are Concurrent (Orthocenter) Triangle Medians and Centroids (2D Proof) Similarity Postulates Proving that the Centroid is 2-3rds along the Median Circumcenter of a Triangle Similar Triangle Basics Part 2 of the Proof of Heron's Formula Congruent legs and base angles of Isosceles Triangles Similarity example where same side plays different roles Area of Inscribed Equilateral Triangle (some basic trig used) Finding Area Using Similarity and Congruence Review of Triangle Properties Part 1 of Proof of Heron's Formula Triangle Medians and Centroids Pythagorean Theorem Proof Using Similarity Medians divide into smaller triangles of equal area Koch Snowflake Fractal Similarity Example Problems Intro to 30-60-90 Triangles Euler's Line Proof Common Orthocenter and Centroid
•  Similar triangles The Pythagorean Theorem Similar triangles (part 2) Right Triangles Inscribed in Circles (Proof) Pythagorean Theorem II Heron's Formula Area of Diagonal Generated Triangles of Rectangle are Equal 45-45-90 Triangles 30-60-90 Triangles II Other Triangle Congruence Postulates Congruent Triangle Example 2 Median Centroid Right Triangle Example Triangle Medians and Centroids (2D Proof) Circumcenter of a Triangle Congruent legs and base angles of Isosceles Triangles Finding Area Using Similarity and Congruence Triangle Medians and Centroids Koch Snowflake Fractal Euler's Line Proof Exploring Medial Triangles Incenter and incircles of a triangle Finding Congruent Triangles Figuring out all the angles for congruent triangles example Euler Line Equilateral Triangle Sides and Angles Congruent Triangle Area Proofs Similar Triangle Example Problems Example involving an isosceles triangle and parallel lines Equilateral and Isosceles Example Problems Congruent Triangles and SSS SSS to Show a Radius is Perpendicular to a Chord that it Bisects Similarity Postulates Similar Triangle Basics Similarity example where same side plays different roles Review of Triangle Properties Pythagorean Theorem Proof Using Similarity Similarity Example Problems Common Orthocenter and Centroid Challenging Similarity Problem Challenging Triangle Angle Problem 30-60-90 Triangle Side Ratios Proof 45-45-90 Triangle Side Ratios 30-60-90 Triangle Example Problem Another Isosceles Example Problem Area of Koch Snowflake (part 2) - Advanced Area of Koch Snowflake (part 1) - Advanced Area of an Equilateral Triangle Congruent Triangle Proof Example Circumcenter of a Right Triangle Proof - Triangle Altitudes are Concurrent (Orthocenter) Proving that the Centroid is 2-3rds along the Median Part 2 of the Proof of Heron's Formula Area of Inscribed Equilateral Triangle (some basic trig used) Part 1 of Proof of Heron's Formula Medians divide into smaller triangles of equal area Intro to 30-60-90 Triangles
• ## Statistics

•  Comparing Population Proportions 1 Clarification of Confidence Interval of Difference of Means Type 1 Errors Large Sample Proportion Hypothesis Testing One-Tailed and Two-Tailed Tests Margin of Error 1 Sampling Distribution Example Problem Proof (Part 3) Minimizing Squared Error to Regression Line Hypothesis Testing and P-values Squared Error of Regression Line Comparing Population Proportions 2 Regression Line Example Z-statistics vs. T-statistics Margin of Error 2 Second Regression Example Calculating R-Squared Proof (Part 1) Minimizing Squared Error to Regression Line Reading Pictographs Confidence Interval 1 Mean and Variance of Bernoulli Distribution Example Reading Bar Graphs Proof Part 2 Minimizing Squared Error to Line R-Squared or Coefficient of Determination Mean Median and Mode Small Sample Hypothesis Test Small Sample Size Confidence Intervals Range and Mid-range T-Statistic Confidence Interval Confidence Interval of Difference of Means Bernoulli Distribution Mean and Variance Formulas u08_l1_t2_we3 Stem-and-leaf Plots
•  Comparing Population Proportions 1 Large Sample Proportion Hypothesis Testing Sampling Distribution Example Problem Squared Error of Regression Line Z-statistics vs. T-statistics Calculating R-Squared Confidence Interval 1 Proof Part 2 Minimizing Squared Error to Line Small Sample Hypothesis Test T-Statistic Confidence Interval Bernoulli Distribution Mean and Variance Formulas Clarification of Confidence Interval of Difference of Means One-Tailed and Two-Tailed Tests Proof (Part 3) Minimizing Squared Error to Regression Line Comparing Population Proportions 2 Margin of Error 2 Proof (Part 1) Minimizing Squared Error to Regression Line Mean and Variance of Bernoulli Distribution Example R-Squared or Coefficient of Determination Small Sample Size Confidence Intervals Confidence Interval of Difference of Means u08_l1_t2_we3 Stem-and-leaf Plots Type 1 Errors Margin of Error 1 Hypothesis Testing and P-values Regression Line Example Second Regression Example Reading Pictographs Reading Bar Graphs Mean Median and Mode Range and Mid-range
• ## Probability

•  Binomial Distribution 2 Law of Large Numbers Permutations and Combinations 2 Birthday Probability Problem Probability and Combinations (part 2) Independent Events 3 Binomial Distribution 1 Introduction to Random Variables Permutations and Combinations 4 Binomial Distribution 3 Poisson Process 1 Permutations and Combinations 1 Binomial Distribution 4 Poisson Process 2 Probability of Dependent Events 2 Conditional Probability and Combinations Probability Density Functions Dependent Probability Example 2 Probability (part 2) Simple Probability Probability 1 Module Examples Probability (part 3) Basic Probability Permutations and Combinations 3 Probability (part 4) Probability of Dependent Events Getting Exactly Two Heads (Combinatorics) Probability (part 5) Events and Outcomes 3 Addition Rule for Probability Probability (part 6) Events and Outcomes 1 Compound Probability of Independent Events Probability (part 7) Coin Flipping Example Expected Value: E(X) Probability (part 8) Dependent Probability Example 1 U12_L2_T2_we1 Independent Events 1 Probability using Combinations Independent Events 2
•  Binomial Distribution 2 Birthday Probability Problem Binomial Distribution 1 Binomial Distribution 3 Binomial Distribution 4 Conditional Probability and Combinations Probability (part 2) Probability (part 3) Probability (part 4) Probability (part 5) Probability (part 6) Probability (part 7) Probability (part 8) Probability using Combinations Law of Large Numbers Probability and Combinations (part 2) Introduction to Random Variables Poisson Process 1 Poisson Process 2 Probability Density Functions Simple Probability Basic Probability Probability of Dependent Events Events and Outcomes 3 Events and Outcomes 1 Coin Flipping Example Dependent Probability Example 1 Independent Events 2 Permutations and Combinations 2 Independent Events 3 Permutations and Combinations 4 Permutations and Combinations 1 Probability of Dependent Events 2 Dependent Probability Example 2 Probability 1 Module Examples Permutations and Combinations 3 Getting Exactly Two Heads (Combinatorics) Addition Rule for Probability Compound Probability of Independent Events Expected Value: E(X) U12_L2_T2_we1 Independent Events 1
• ## Trigonometry

•  Ferris Wheel Trig Problem (part 2) Tau versus Pi Trigonometry Identity Review/Fun Trigonometry word problems (part 1) Basic Trigonometry II Inverse Trig Functions: Arccos Trigonometry word problems (part 2) Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b) Trig identies part 3 (part 5 if you watch the proofs) Fun Trig Problem Proof: Law of Sines Radians and degrees Graph of the sine function Navigation Word Problem Trig identities part 2 (parr 4 if you watch the proofs) Graphs of trig functions Inverse Trig Functions: Arcsin 2003 AIME II Problem 11 Determining the equation of a trigonometric function Ferris Wheel Trig Problem Inverse Trig Functions: Arctan Law of cosines Unit Circle Definition of Trig Functions The unit circle definition of trigonometric function Trigonometric Identities Using Trig Functions Part II Using Trig Functions Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b) More trig graphs Graphing trig functions
•  Ferris Wheel Trig Problem (part 2) Trigonometry word problems (part 1) Trigonometry word problems (part 2) Fun Trig Problem Graph of the sine function Graphs of trig functions Determining the equation of a trigonometric function Law of cosines Trigonometric Identities Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b) Tau versus Pi Basic Trigonometry II Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b) Proof: Law of Sines Navigation Word Problem Inverse Trig Functions: Arcsin Ferris Wheel Trig Problem Unit Circle Definition of Trig Functions Using Trig Functions Part II More trig graphs Trigonometry Identity Review/Fun Inverse Trig Functions: Arccos Trig identies part 3 (part 5 if you watch the proofs) Radians and degrees Trig identities part 2 (parr 4 if you watch the proofs) 2003 AIME II Problem 11 Inverse Trig Functions: Arctan The unit circle definition of trigonometric function Using Trig Functions Graphing trig functions
• ## Precalculus

•  Polar Coordinates 1 Parametric Equations 2 Parametric Equations 4 Polar Coordinates 2 Binomial Theorem (part 1) Permutations Polar coordinates 3 Binomial Theorem (part 2) Basic Complex Analysis Combinations Binomial Theorem (part 3) Exponential form to find complex roots Parametric Equations 1 Parametric Equations 3
•  Polar Coordinates 1 Polar Coordinates 2 Polar coordinates 3 Combinations Parametric Equations 1 Parametric Equations 2 Binomial Theorem (part 1) Binomial Theorem (part 2) Binomial Theorem (part 3) Parametric Equations 3 Parametric Equations 4 Permutations Basic Complex Analysis Exponential form to find complex roots
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