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Study Guide: A List of 600+ Khan Academy Basic Math Video Tutorials on Youtube
Source: https://www.fatskills.com/free-study-resources/chapter/a-list-of-600-khan-academy-basic-math-video-tutorials-on-youtube

A List of 600+ Khan Academy Basic Math Video Tutorials on Youtube

By Fatskills Exam Guides Team — the exam nerds behind 28,500+ quizzes and 2.1M practice questions across 500+ global exams.

⏱️ ~13 min read

Note: This is a repost from a guide published before on Fatskills - https://www.fatskills.com/answers/onlineeducation/list-of-600-khan-academy-basic-math-video-tutorials-on-youtube

 

 

 

Arithmetic
Basic addition
Addition 2
Level 2 Addition
Addition 3
Addition 4
Basic subtraction
Subtraction 2
Subtraction 3: Introduction to Borrowing or Regrouping
Alternate mental subtraction method
Why borrowing works
Level 4 Subtraction
Why borrowing works
Adding Decimals (Old)
Subtracting decimals (old)
Basic multiplication
Multiplication 2: The multiplication tables
Multiplication 3: 10,11,12 times tables
Private video
2-digit times a 2-digit number
Multiplying multiple digit numbers
Multiplication 7: Old video giving more examples
Mulitplication 8: Multiplying decimals (Old video)
Lattice multiplication
Why lattice multiplication works
Division 1
Introduction to long division
Dividing numbers: long division with remainders
Level 4 division
Converting fractions to decimals
Percent and decimals
Dividing decimals with hundredths example 3
Ordering Numeric Expressions
Greatest common factor explained
Private video
Equivalent fractions
Mixed numbers and improper fractions
Time Differences 1
Time Differences in Different Time Zones
Prime numbers
Partial quotient method of division
Partial quotient method of division 2

Developmental Math
Finding a number's place value
Writing a number in standard form
Writing a number in expanded form
Rounding whole numbers example 1
Rounding whole numbers example 2
Rounding whole numbers 3
Comparing whole numbers
Comparing Whole Numbers 2
Comparing Whole Numbers 3
Example: Adding two digit numbers (no carrying)
Adding Whole Numbers and Applications 2
Adding Whole Numbers and Applications 3
Adding Whole Numbers and Applications 4
Subtracting Whole Numbers
Subtraction with Borrowing or Regrouping
Subtraction Word Problem
Rounding to Estimate Differences
Rounding to Estimate Sums
Rounding to Estimate Sums 2
Example: Ways to represent multiplication
Example: 2-digit times 2-digit
Multiplying Whole Numbers and Applications 3
Multiplication estimation example
Multiplying Whole Numbers and Applications 5
Comparing with multiplication: age
Example: Expressing division in multiple ways
Dividing Whole Numbers and Applications 2
Dividing Whole Numbers and Applications 3
Dividing Whole Numbers and Applications 4
Dividing Whole Numbers and Applications 5
Dividing Whole Numbers and Applications 6
Properties of Whole Numbers
Identity property of 1
Commutative law of addition
Commutative law of multiplication
Associative law of addition
Associative Law of Multiplication
The distributive law of multiplication over addition
The distributive law of multiplication over subtraction
Exponent example 2
Exponent example 1
Understanding square roots
Order of operations example
Order of Operations 2
Numerator and denominator of a fraction
Identifying fraction parts
Proper and improper fractions
Converting mixed numbers to improper fractions
Mixed numbers: changing from an improper fraction
Recognizing divisibility
Finding factors of a number
Prime factorization
Recognizing prime and composite numbers
Equivalent fraction word problem example 4
Fractions in lowest terms
Comparing fractions
Comparing fractions with different denominators
Multiplying two fractions: example
How to multiply mixed numbers
Multiplying fractions and whole numbers: mixed number answer
Multiplying fractions word problem: banana oat muffin recipe
Reciprocal of a mixed number
Dividing fractions example 2
Dividing mixed numbers
Dividing mixed numbers and fractions
Dividing whole numbers and fractions: t-shirts
Adding fractions with like denominators
Least common multiple exercise: 3 numbers
Finding common denominators
How to add fractions that have different denominators
Adding mixed numbers
Adding mixed numbers with unlike denominators
Adding mixed numbers word problem
Subtracting fractions with like denominators
Subtracting mixed numbers
Subtracting mixed numbers 2
Subtracting mixed numbers word problem
Decimal place value
Decimals: writing it out in words
Decimal to simplified fraction
Fraction to decimal
Comparing decimals example 3
Rounding decimals: to the nearest tenth
Comparing two decimal numbers using a number line (example)
Comparing decimals: place value difference
Adding decimals: example 3
Subtracting decimals example 1
Adding and subtracting decimals word problem
Multiplying decimals example
Multiplying a decimal by a power of 10
Dividing by a multi-digit decimal
Dividing a decimal by a power of 10
Dividing a decimal by a power of 10: shortcut
Multiplying decimals word problem
Estimation with Decimals
Ratios as fractions in simplest form
Simplifying rates and ratios
Solving unit rates problem
Solving unit price problem
Proportion validity example
Solving a proportion with an unknown variable (example)
Proportion word problem (example 1)
The meaning of percent
The meaning of percent over 100
Converting percent to decimal and fraction
Representing a number as a decimal, percent, and fraction 2
Identifying percent amount and base
Percent word problem example 4
Percent word problem example 5
Unit conversion word problem: yards to inches
Adding different units of length
Unit measurement word problem: running laps (US customary)
Converting pounds to ounces
Adding different units for weight
Unit measurement word problem: weight (US customary)
Unit conversion: gallons to quarts, pints, and cups
Unit conversion: arithmetic calculations on units of volume
Unit measurement word problem: volume (US customary)
U.S. customary and metric units
Conversion between metric units
Converting within the metric system
Perimeter and unit conversion
Comparing Celsius and Fahrenheit temperature scales
Converting Fahrenheit to Celsius
Congruent and Similar Triangles
Similar Triangles Corresponding Sides and Angles
Missing Measurements for Similar Triangles
Application of Similar Triangles
Using the Pythagorean Theorem
Pythagorean Theorem Application
Quadrilateral properties
Labeling parts of a circle
Circumference of a Circle
Area of a Circle
Area and Perimeter of Composite Figures
Identifying Geometric Solids
Volume of a Composite Shape
Identifying rays
Acute Obtuse and Right Angles
Identifying parallel and perpendicular lines
Identifying Complementary and Supplementary Angles
Finding Missing Angles
Perimeter of a parallelogram
Area of a Trapezoid
Perimeter and area of a non-standard polygon
Volume of a sphere

Developmental Math 2
Reading pictographs
Reading bar graphs
Reading pie graphs (circle graphs)
Reading line graphs
Stem-and-leaf plots
Finding mean, median, and mode
Finding the range and mid-range
Measures of Center
Box and whisker plot
Box-and-Whisker Plots
Misleading line graphs
Finding probability example
Probability of More Complex Outcome
Example: All the ways you can flip a coin
How to evaluate an expression with variables
Example: Evaluating expressions with 2 variables
Locate integers on a number line
Absolute value of integers
Opposite of a given number
Rational number word problem with decimals
Decimals and fractions on a number line
Number sets
Comparing Rational Numbers
Identifying Rational Numbers
Adding negative numbers (example)
Adding numbers with different signs (example)
Adding real numbers with different signs
Adding fractions with different signs
Identity property of 0
Application of addition of real numbers
Subtracting Real Numbers
Adding and subtracting real numbers
Adding and subtracting real numbers application
Multiplying numbers with different signs
Dividing real numbers with different signs
Identity property of 1 (second example)
Multiplying real number application
Commutative property for addition
Associative property for multiplication
Distributive property 3
Order of operations example: putting it all together
Order of Operations 2 (old)
Example of solving a one-step equation
How to solve equations of the form x/a = b
Example 1: Variables on both sides
One-Step Equation Involving Fractions
Ex 2: Distributive property to simplify
More Involved Multi-Step Equation
Equation special cases
Word problem: solving equations
How to evaluate an expression using substitution
Rearrange formulas to isolate specific variables
Example of plotting a simple inequality on a number line
One-step inequality involving addition
Multiplying and dividing with inequalities example
Multi-step inequalities 3
Multi-step inequalities 2
Compound inequalities
Compound inequalities 2
Compound inequalities 3
Compound inequalities 4
Absolute value equations example 1
Absolute value inequalities example 2
Absolute Value Equations 2
Evaluating an algebraic expression with exponents
Evaluating exponential expressions 2
Negative and positive exponents
Exponent properties 1
Exponent properties 2
Exponent properties 3
Exponent properties 4
Exponent properties 5
Exponent properties 6
Exponent properties 7
Express a small number in scientific notation (example)
Multiplying in scientific notation (example)
Speed of light and distance from sun (scientific notation word problem)
Multiplying three numbers in scientific notation (example)
The parts of polynomial expressions
Evaluating a polynomial at a given value
Example 1: Simplifying polynomials
Example 4: Adding and subtracting polynomials
Opposite of a Polynomial
Example 3: Subtracting polynomials
Example 1: Multiplying two monomials with a single variable
Example 3: Multiplying a monomial by a polynomial
Example 1: Multiplying a binomial by a binomial
Multiplying polynomials example
Example 1: Multiplying binomials to get a difference of squares
Example 2: Finding the square of a binomial with one variable
Polynomial divided by monomial
Simplifying rational expressions (old video)
Dividing polynomials 1
Dividing polynomials with remainders
Evaluating an expression with multiple variables
Simplifying an expression with multiple variables
Simplifying Multivariable Polynomial
Example 6: Subtracting polynomials with two variables
Example 2: Multiplying a binomial by a polynomial
Dividing multivariable polynomial with monomial
Finding the greatest common factor of two monomials
GCF to Factor a Polynomial
Factor expressions by grouping
Introduction to grouping
Example 1: Factoring trinomials with a common factor
Factoring trinomials with a non-1 leading coefficient by grouping
Example 4: Factoring quadratics as a perfect square of a difference: (a-b)^2
Example 1: Factoring a difference of squares with two variables
Factoring sum of cubes
Difference of cubes factoring
Solving factored equations
Solving quadratics by factoring
Finding dimensions of triangle from area
Graphing solutions to two-variable linear equations example 1
Coordinate plane: quadrants
Graphing using x- and y-intercepts
Ordered pair solutions to equations
Linear function example: spending money
Slope of a line: negative slope
Slope from two ordered pairs example 1
Slope from two ordered pairs example 2
Hairier Slope of Line
Slope-intercept equation from slope and point
Finding a linear equation given a point and slope
Slope-intercept equation from two solutions example
Perpendicular Line Slope
Equation of a line from fractional slope and point
Parallel Line Equation
Checking solutions of two-variable linear inequalities example
Graphing inequalities 2
Coordinate plane: plot ordered pairs

Developmental Math 3
Graphing systems of equations
Checking solutions to systems of equations example
Consistent and inconsistent systems
Independent and Dependent Systems
Graphical systems application problem
u14 l1 t1 we INT Consistent System of Independent Equations t2
Introduction to graphing systems of linear inequalities
Checking solutions of systems of inequalities example
System of Inequalities Application
Substitution Method
Substitution method 2
Systems of equations word problems example 3
Addition elimination method 1
Addition elimination method 2
Addition elimination method 3
Addition elimination method 4
Systems of three variables
Systems of three variables 2
Three equation application problem
Solutions to three variable system 2
Domain of a Rational Expression 1
Simplifying rational expressions example 2
Multiplying and simplifying rational expressions
Dividing and Simplifying Rational Expressions
Algebraic Expression Least Common Multiple
Adding Rational Expressions
Subtracting rational expressions
Simplifying first for subtracting rational expressions
Adding and subtracting rational expressions
Complicated Rational Expressions
Rational equations
Extraneous solutions to rational equations
Rate Problem Involving Rational Equations
Another Take on the Rate Problem
Solving for a variable
Direct inverse and joint variation
Proportionality constant for direct variation
Direct variation application
Inverse variation application
Joint Variation Application
Approximating square roots to hundredths
Simplifying square roots
Simplifying square roots comment response
Cube root of a negative number (example)
Simplifying cube roots
Radical equivalent to rational exponents
Radical equivalent to rational exponents 2
Rational exponents and exponent laws
More rational exponents and exponent laws
Multiply and simplify a radical expression 1
Multiply and simplify a radical expression 2
Adding and simplifying radicals
Subtracting and simplifying radicals
Multiplying binomials with radicals
Rationalizing denominators of expressions
Rationalizing Denominators with Conjugates
Solving radical equations
Extraneous Solutions for Radical Equations
Radical Equation Application Problem
Complex Numbers
Imaginary roots of negative numbers
Adding complex numbers
Subtracting complex numbers
Multiplying complex numbers
Complex conjugates example
Dividing complex numbers
Example: Solving simple quadratic
Completing Perfect Square Trinomials
Example 3: Completing the square
Example: Quadratics in standard form
Example 5: Using the quadratic formula
Example: Complex roots for a quadratic
Discriminant for types of solutions for a quadratic
Example 4: Applying the quadratic formula
Domain and range of a relation
Relations and functions
Graphical relations and functions
Evaluating Functions
Graphing a Basic Function
Graphing a Quadratic Function
Graphing Radical Functions
Domain and range of a function given a formula
Domain of a radical function
Sum of functions
Difference of functions
Product of functions
Quotient of functions
Graphing exponential functions
Exponential Application
Logarithmic equations
Logarithmic Equations 2
Graphing logarithmic functions
Solving logarithmic equations
Sum of logarithms with same base
Difference of Logarithms with Same Base
Logarithm of a power
Using multiple logarithm properties to simplify
Natural logarithm with a calculator
Graphing natural logarithm function
u18_l3_t1_we4 Calculator for Powers of e
Calculator for Powers of 10
Calculator for natural logarithms
Calculator for Logarithms
Solving Exponential Equations
Solving logarithmic equations
Applying Logarithms
Applying Logarithms 2

Pre-algebra
Negative numbers introduction
Adding/subtracting negative numbers
Multiplying and dividing negative numbers
Adding and subtracting fractions
Multiplying fractions (old)
Dividing fractions
Introduction to order of operations
Order of operations: PEMDAS
Level 1 Exponents
Level 2 Exponents
Level 3 exponents
Negative exponent intuition
Exponent rules part 1
Exponent rules part 2
Simplifying radicals
Introduction to Logarithms
Unit conversion within the metric system
Speed translation
Introduction to logarithm properties
Introduction to logarithm properties (part 2)
Introduction to scientific notation
Scientific notation examples
Introduction to ratios
Unit conversion word problem: drug dosage
Common divisibility examples
Binary Numbers
Binary, Decimal and Hexadecimal Number Systems
Number Base Conversion Practice
Significant figures
More on significant figures
Multiplying and dividing with significant figures
Addition and subtraction with significant figures
Pure Numbers and Significant Digits
Ordering negative numbers
Comparing absolute values
Comparing and ordering fractions
Inverse property of multiplication
Inverse property of addition
Interpreting linear graphs word problems example 1

Algebra
The beauty of algebra
Origins of algebra
Abstract-ness
Introduction to the coordinate plane
What are variables, expressions, and equations?
How to solve equations of the form ax = b
Solving a more complicated equation
Introduction to solving an equation with variables on both sides
Algebra: Linear equations 4
Algebra: Solving Inequalities
Algebra: graphing lines 1
Algebra: Slope and Y-intercept intuition
Algebra: Slope
Algebra: Slope 2
Algebra: Slope 3
Algebra: Equation of a line
Slope and Y-intercept Intuition
Averages
Integer sums
Taking percentages
Growing by a percentage
Percent word problem example 1
More percent problems
systems of equations
Introduction to ratios
Ratio problem with basic algebra
More advanced ratio problem--with Algebra (HD version)
Alternate Solution to Ratio Problem (HD Version)
Introduction to Ratios
Advanced ratio problems
Age word problems 1
Age word problems 2
Age word problems 3
Level 1 multiplying expressions
Solving a quadratic by factoring
Introduction to i and imaginary numbers
Calculating i raised to arbitrary exponents
i as the principal root of -1 (a little technical)
Complex Numbers (part 1)
Complex Numbers (part 2)
Introduction to the quadratic equation
Quadratic equation part 2
Completing the square
Quadratic formula (proof)
Quadratic inequalities
Quadratic inequalities (visual explanation)
Introduction to functions
Functions Part 2
Functions (Part III)
Functions (part 4)
Domain of a function
Proof: log a + log b = log ab
Proof: a log b = log(b^a), log a - log b = log(a/b)
Proof: log_a (B) = (log_x (B))/(log_x (A))
Algebraic Long Division
Introduction to conic sections
Conic Sections: Intro to Circles
Conic sections: Intro to ellipse
Conic sections: Intro to hyperbolas
Conic sections: Hyperbolas 2
Conic sections: Hyperbolas 3
Identifying an ellipse from equation
Identifying a hyperbola from an equation
Identifying circles and parabolas from equations
Foci of an ellipse
Foci of a hyperbola
Proof: Hyperbola foci
Partial fraction expansion 1
Partial fraction expansion 2
Partial fraction expansion 3
Parabola Focus and Directrix 1
Focus and Directrix of a Parabola 2
Two Passing Bicycles Word Problem
Passed Bike Word Problem
Passing Trains
Overtaking Word Problem
Early train word problem
Officer on Horseback
Rational inequalities
Rational inequalities 2
Interesting Polynomial Coefficient Problem
Finite geometric series word problem: mortgage
Introduction to function inverses
Function inverse example 1
Function inverses example 2
Function inverses example 3
Direct and inverse variation
Recognizing direct and inverse variation
Recognizing odd and even functions
Connection between even and odd numbers and functions
New operator definitions
Proof by induction
Alternate proof to induction for integer sum
Setting up proportions to solve word problems
Converting repeating decimals to fractions 1
Converting repeating decimals to fractions 2

Geometry
Euclid as the father of geometry
Basic geometry: language and labels
Intro to lines, line segments, and rays
Language and notation of the circle
Angle basics
Measuring angles in degrees
Measuring angles using a protractor
More angle measurements using a protractor
Complementary and supplementary angles
Introduction to vertical angles
Proof: Vertical angles are equal
Angles formed by parallel lines and transversals
Proof - Sum of Measures of Angles in a Triangle are 180
Triangle angle example 1
Triangle angle example 2
Triangle angle example 3
Challenging triangle angle problem
Proof: Corresponding angle equivalence implies parallel lines
Finding more angles
Sum of interior angles of a polygon
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
Sum of the exterior angles of convex polygon
Finding congruent triangles
More on why SSA is not a postulate
Congruent triangle proof example
Congruent triangle example 2
Congruent legs and base angles of isosceles triangles
Equilateral triangle sides and angles congruent
Equilateral and isosceles example problems
Another isosceles example problem
Example involving an isosceles triangle and parallel lines
Figuring out all the angles for congruent triangles example
Perimeter and area: the basics
Triangle area proofs
Interesting perimeter and area problems
Koch snowflake fractal
Area of an equilateral triangle
Area of Koch snowflake (part 1) - advanced
Area of Koch snowflake (part 2) - advanced
Challenging perimeter problem
Similar triangle basics
Similarity postulates
Similar triangle example problems
Similarity example problems
Challenging similarity problem
Similarity example where same side plays different roles
Finding area using similarity and congruence
Pythagorean theorem proof using similarity
30-60-90 triangle side ratios proof
45-45-90 triangle side ratios
30-60-90 triangle example problem
The golden ratio
Introduction to angles (old)
Angles (part 2)
Angles (part 3)
Angles formed between transversals and parallel lines
Angles of parallel lines 2
The angle game
Similar triangles
Similar triangles (part 2)
Angle game (part 2)
Acute right and obtuse angles
Area and Perimeter
Circles: radius, diameter, circumference and Pi
Area of a circle
The Pythagorean theorem intro
Pythagorean theorem II
45-45-90 triangles
Intro to 30-60-90 triangles
30-60-90 Triangles II
Find the volume of a triangular prism and cube
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