Study Math For Free on Khan Academy - CBSE

Listed below are 3000+ free Khan Academy Math videos as per the CBSE curriculum (India).

Class 1 Videos

Title Link to Khan Acdemy videos

(English)

Numbers from 1 to 9
Counting with small numbers
Counting in order
Comparing numbers of objects
Counting by category
Intro to addition
Making 5
Getting to 10 by filling boxes
Adding to 10
Intro to subtraction
Add and subtract: pieces of fruit
Addition and subtraction within 10
Relating addition and subtraction
Addition word problems within 10
Subtraction word problems within 10
Numbers from 10 to 20
Teens as sums with 10
Teen numbers: monkeys
Intro to place value
Counting in pictures
Counting objects 1
Counting objects 2
Adding 7 + 6
Adding 8 + 7
Adding 5 + 3 + 6
Subtracting 14 - 6
Equal sign
Repeated addition: haircuts
Addition and subtraction word problems: superheroes
https://www.khanacademy.org/math/in-in-class-1st-math-cbse/xdedfdde82b722757:numbers-from-10-to-20/xdedfdde82b722757:word-problems-within-20/v/sea-monsters-and-superheroes
Addition and subtraction word problems: gorillas
https://www.khanacademy.org/math/in-in-class-1st-math-cbse/xdedfdde82b722757:numbers-from-10-to-20/xdedfdde82b722757:word-problems-within-20/v/exercising-gorillas
Comparison word problems: marbles
Comparison word problems: roly-polies
Numbers from 1 to 100
Number grid
Counting by tens
Intro to place value
Place value example: 25
Place value example: 42
Greater than and less than symbols
Geometry and measurement
Relative position
Ordering by length

Class 2

Title Link to Khan Academy videos
(English)
Numbers from 1 to 100
Number grid
Intro to place value
Place value example: 25
Place value example: 42
Greater than and less than symbols
Addition and subtraction without regrouping
https://www.khanacademy.org/math/in-in-class-2nd-math-cbse/x41ed04e12bec59cd:addition-and-subtraction-without-regrouping
Adding 1 vs. adding 10
Understanding place value when adding ones
Understanding place value when adding tens
Subtracting 1 vs. subtracting 10
Subtracting 1s using place value
Subtracting 10s using place value
Adding 2-digit numbers without regrouping 1
Breaking apart 2-digit addition problems
Subtracting two-digit numbers without regrouping
https://www.khanacademy.org/math/in-in-class-2nd-math-cbse/x41ed04e12bec59cd:addition-and-subtraction-without-regrouping/x41ed04e12bec59cd:subtraction-without-regrouping/v/subtracting-two-digit-numbers-without-regrouping
Addition and subtraction with number lines
Adding and subtracting on number line word problems
https://www.khanacademy.org/math/in-in-class-2nd-math-cbse/x41ed04e12bec59cd:addition-and-subtraction-without-regrouping/x41ed04e12bec59cd:addition-and-subtraction-using-number-line/v/adding-and-subtracting-on-number-line-word-problems
Addition and subtraction with regrouping
Regrouping to add 1-digit number
Adding by making a group of 10
Adding 53+17 by making a group of 10
Subtracting with regrouping (borrowing)
Missing numbers in addition and subtraction
Addition word problem: horses
Subtraction word problem: tennis balls
Subtraction word problem: snow
Subtraction word problem: crayons
Addition word problem: starfish
Subtraction word problem: basketball
Geometry and measurement
Comparing lengths
Estimating lengths
Understanding mass (grams and kilograms)
Understanding volume (liters)

Class 3

Title Link to Khan Academy videos
(English)
Numbers from 1 to 1000
Comparing whole numbers
Skip-counting by 5s
Counting by 10s
Skip-counting by 100s
Addition and subtraction without regrouping
Adding 1s, 10s, and 100s
Adding 3-digit numbers (no regrouping)
Subtracting 1s, 10s, and 100s
Subtracting 3-digit numbers (no regrouping)
Breaking apart 3-digit addition problems
Subtraction by breaking apart
Adding and subtracting on number line
Addition and subtraction with regrouping
Addition using groups of 10 and 100
Adding 3-digit numbers
Solving 3-digit addition in your head
Worked example: Subtracting 3-digit numbers (regrouping)
https://www.khanacademy.org/math/in-in-class-3rd-math-cbse/x80b2f4aa70819288:addition-and-subtraction-with-regrouping/x80b2f4aa70819288:subtracting-by-regrouping/v/basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers
Subtracting 3-digit numbers (regrouping)
Worked example: Subtracting 3-digit numbers (regrouping twice)
https://www.khanacademy.org/math/in-in-class-3rd-math-cbse/x80b2f4aa70819288:addition-and-subtraction-with-regrouping/x80b2f4aa70819288:subtracting-by-regrouping/v/regrouping-twice-when-subtracting-three-digit-numbers
Worked example: Subtracting 3-digit numbers (regrouping from 0)
https://www.khanacademy.org/math/in-in-class-3rd-math-cbse/x80b2f4aa70819288:addition-and-subtraction-with-regrouping/x80b2f4aa70819288:subtracting-by-regrouping/v/regrouping-from-0-when-subtracting-three-digit-numbers
Missing number for 3-digit addition within 1000
Missing number for 3-digit subtraction within 1000
Three digit addition word problems
Three digit subtraction word problems
Multiplication
Equal groups
Introduction to multiplication
Multiplication as repeated addition
Multiplication on the number line
Multiplication in real world contexts
Multiplication word problem: soda party
Multiplying 10s
Multiplying with area model: 16 x 27
Multiplying with area model: 78 x 65
Division
The idea of division
Division as equal groups
Visualizing division with arrays
Division in context
Division word problem: blueberries
Smart charts
Picture graphs
Making picture graphs and line plots
Geometry and measurement
Comparing lengths
Estimating lengths
Understanding volume (liters)
Understanding mass (grams and kilograms)

Class 4

Title Link to Khan Academy videos
(English)
Addition and subtraction
Using place value to add 3-digit numbers: part 1
https://www.khanacademy.org/math/in-in-class-4th-math-cbse/x37a2a840963ae149:addition-and-subtraction/x37a2a840963ae149:3-digit-addition/v/carrying-when-adding-three-digit-numbers
Using place value to add 3-digit numbers: part 2
https://www.khanacademy.org/math/in-in-class-4th-math-cbse/x37a2a840963ae149:addition-and-subtraction/x37a2a840963ae149:3-digit-addition/v/why-carrying-works
Adding 3-digit numbers
Methods for subtracting 3-digit numbers
Worked example: Subtracting 3-digit numbers
Multiplication
Using area model and properties to multiply
Multiplying with area model: 78 x 65
Multiplying with distributive property
Multiplying 2-digit by 1-digit
Multiplying 3-digit by 1-digit
Multiplying 3-digit by 1-digit (regrouping)
Multiplying 4-digit by 1-digit (regrouping)
Multiplying 2-digit numbers
Multiplying multi-digit numbers
Division
Relating division to multiplication
Division using place value
Division with area models
Quotients that are multiples of 10
Intro to long division (no remainders)
Long division: 280÷5
Introduction to dividing by 2-digits
Smart charts
Picture graphs
Making picture graphs and line plots
Reading bar graphs: dog bones
Creating a bar graph
Halves and quarters
Halves and fourths
Equal parts of circles and rectangles
Geometry and measurement
Metric system: units of distance
Understanding volume (liters)
Word problems with volume
Understanding mass (grams and kilograms)
Word problems with mass
Telling time (labeled clock)
Telling time (unlabeled clock)
Perimeter: introduction
Finding perimeter when a side length is missing
Transitioning from unit squares to area formula

Class 5

Title Link to Khan Academy videos
(English)
Addition and subtraction
Adding 3-digit numbers
Relate place value to standard algorithm for multi-digit addition
https://www.khanacademy.org/math/in-in-class-5th-math-cbse/x91a8f6d2871c8046:addition-and-subtraction/x91a8f6d2871c8046:multi-digit-addition/v/adding-multi-digit-numbers-with-place-value
Adding multi-digit numbers: 48,029+233,930
Worked example: Subtracting 3-digit numbers (regrouping twice)
https://www.khanacademy.org/math/in-in-class-5th-math-cbse/x91a8f6d2871c8046:addition-and-subtraction/x91a8f6d2871c8046:multi-digit-subtraction/v/regrouping-twice-when-subtracting-three-digit-numbers
Multi-digit subtraction: 389,002-76,151
Multiplication
Relate multiplication with area models to the standard algorithm
https://www.khanacademy.org/math/in-in-class-5th-math-cbse/x91a8f6d2871c8046:multiplication/x91a8f6d2871c8046:multiply-by-using-standard-algorithm/v/multiplying-using-area-models-and-the-standard-algorithm
Multiplying 2-digit by 1-digit
Multiplying 3-digit by 1-digit
Multiplying 3-digit by 1-digit (regrouping)
Multiplying 4-digit by 1-digit (regrouping)
Multiplying 2-digit numbers
Multiplying multi-digit numbers
Division
Intro to long division (no remainders)
Long division: 280÷5
Introduction to dividing by 2-digits
Intro to remainders
Long division with remainders: 3771÷8
Long division with remainders: 2292÷4
Dividing by 2-digits: 9815÷65
Dividing by 2-digits: 7182÷42
Parts and wholes
Intro to fractions
Cutting shapes into equal parts
Recognize fractions
Recognizing fractions greater than 1
Identifying numerators and denominators
Identifying unit fractions word problem
Equivalent fractions
Visualizing equivalent fractions
Tenths and Hundredths
Decimal place value
Relating decimals and fractions in words
Write decimal in expanded form
Decimals as words
Identifying tenths on a number line
Identifying hundredths on a number line
Rewriting decimals as fractions: 0.36
Fraction to decimal: 11/25
Ordering decimals 1
Ordering decimals 2
Factors and multiples
Finding factors of a number
Finding factors and multiples
Smart charts
Interpreting picture graphs: notebook
Creating picture and bar graphs
Reading bar graphs: dog bones
Reading bar graphs: bikes
Creating picture and bar graphs
How big? How heavy?
Metric system: units of distance
Understanding volume (liters)
Word problems with volume
Understanding mass (grams and kilograms)
Word problems with mass
Converting units: metric distance
Converting units: centimeters to meters
Shapes and angles
Angles: introduction
Naming angles
Measuring angles using a protractor
Measuring angles using a protractor 2
Acute, right, & obtuse angles
Recognizing angles
Area and its boundary
Intro to area and unit squares
Measuring rectangles with different unit squares
Creating rectangles with a given area 1
Creating rectangles with a given area 2
Transitioning from unit squares to area formula
Finding missing side when given area
Counting unit squares to find area formula
Perimeter: introduction
Identify patterns
Factors and multiples: days of the week
Math patterns: toothpicks
Patterns in hundreds chart
Patterns in multiplication tables

Class 6

Title Link to Khan Academy videos
(English) Link to Khan Academy videos
(Hinglish)
Knowing our numbers
Comparing multi-digit numbers
Comparing multi-digit whole numbers word problems
Intro to lakhs and crores
Reading and writing large numbers
Intro to millions and billions
Metric system: units of distance
Metric system: units of volume
Metric system: units of weight
Multi-step unit conversion examples (metric)
Rounding to nearest 10 and 100
Rounding whole numbers to nearest thousand
Multiplication estimation example
Evaluating expressions with & without parentheses
https://www.khanacademy.org/math/in-in-class-6th-math-cbse/x06b5af6950647cd2:knowing-our-numbers/x06b5af6950647cd2:using-brackets/v/evaluating-an-expression-with-and-without-parentheses
Constructing numerical expressions
Intro to Roman numerals
Reading and writing Roman numerals
Roman numerals worked example
Whole numbers
Intro to whole numbers
Intro to the number line
Adding and subtracting on number line
Commutative law of addition
Commutative law of multiplication
Properties of multiplication
Associative law of addition
Associative law of multiplication
Properties and patterns for multiplication
Identity property of 0
Identity property of 1
Playing with numbers
Finding factors of a number
Finding factors and multiples
Prime numbers
Recognizing prime and composite numbers
Divisibility tests for 2, 3, 4, 5, 6, 9, 10
Recognizing divisibility
The why of the 3 divisibility rule
The why of the 9 divisibility rule
Common divisibility examples
Prime factorization
Prime factorization exercise
Greatest common factor examples
Greatest common factor explained
HCF visualized
Least common multiple
LCM visualized
Least common multiple: repeating factors
Least common multiple of three numbers
GCF & LCM word problems
Basic geometrical ideas
Terms & labels in geometry
Lines, line segments, & rays
Intro to curves
Polygons as special curves
Angles: introduction
Naming angles
Circles glossary
Understanding elementary shapes
Measuring Line Segments
Measuring angles in degrees
Drawing acute, right and obtuse angles
Parallel & perpendicular lines intro
Parallel & perpendicular lines
Classifying triangles
Intro to quadrilaterals
Quadrilateral types
Counting faces and edges of 3D shapes
Recognizing common 3D shapes
Integers
Intro to negative numbers
Number opposites
Negative symbol as opposite
Ordering negative numbers
Negative numbers, variables, number line
Adding & subtracting negative numbers
Subtracting a negative = adding a positive
Adding numbers with different signs
Fractions
Fractions on a number line
Fractions greater than 1 on the number line
Writing mixed numbers as improper fractions
Writing improper fractions as mixed numbers
Equivalent fractions
Equivalent fractions and different wholes
Comparing fractions with like numerators and denominators
Comparing fractions 2 (unlike denominators)
Adding fractions with like denominators
Subtracting fractions with like denominators
Adding fractions with unlike denominators
Subtracting fractions with unlike denominators
Adding fractions word problem: paint
Subtracting fractions word problem: tomatoes
Visualizing equivalent fractions
Decomposing a fraction visually
Visually adding fractions: 5/6+1/4
Decimals
Decimals as words
Identifying tenths on a number line
Identifying hundredths on a number line
Rewriting decimals as fractions: 0.36
Fraction to decimal: 11/25
Ordering decimals 1
Ordering decimals 2
Introduction to adding decimals: tenths
Adding decimals with ones, tenths and hundredths
Subtracting decimals: 9.005 - 3.6
Subtracting decimals: 39.1 - 0.794
Adding decimals word problem
Adding & subtracting decimals word problem
Data handling
Intro to data handling
Solving problems with picture graphs
Creating picture and bar graphs
Reading bar graphs: bikes
Reading bar graphs: dog bones
Creating picture and bar graphs
Mensuration
Perimeter: introduction
Finding missing side length when given perimeter
Counting unit squares to find area formula
Finding missing side when given area
Decomposing shapes to find area: grids
Decomposing shapes to find area: add
Decomposing shapes to find area: subtract
Perimeter word problem: tables
Perimeter word problem: skating rink
Area word problem: house size
Algebra
What is a variable?
Why aren't we using the multiplication sign?
Perimeter of a square using variables
Perimeter of a rectangle using variables
Writing basic expressions with variables
Writing expressions with variables
Evaluating expressions with two variables
Writing basic expressions word problems
Writing expressions word problems
Variables, expressions, & equations
Testing solutions to equations
Ratio and proportion
Intro to ratios
Part:whole ratios
Solving ratio problems with tables
Worked example: Solving proportions
Writing proportions example
Part:whole ratio word problem
Intro to rates
Solving unit rate problem
Solving unit price problem
Comparing rates example

Class 7

Title Link to Khan Academy videos
(English) Link to Khan Academy videos
(Hinglish)
Integers
Adding numbers with different signs
Multiplying positive & negative numbers
Why a negative times a negative makes sense
Why a negative times a negative is a positive
Dividing positive and negative numbers
Interpreting multiplication & division of negative numbers
https://www.khanacademy.org/math/in-in-class-7th-math-cbse/x939d838e80cf9307:integers/x939d838e80cf9307:integers-word-problems/v/interpreting-multiplicationa-and-division-of-negative-numbers
Fractions and decimals
Adding fractions with like denominators
Subtracting fractions with like denominators
Intro to multiplying 2 fractions
Multiplying 2 fractions: number line
Understanding division of fractions
Multiplying fractions word problem: laundry
Dividing fractions by whole numbers: studying
Visual understanding of regrouping decimals
Adding & subtracting decimals word problem
Intro to multiplying decimals
Multiplying challenging decimals
Dividing decimals with hundredths
Dividing by a multi-digit decimal
Data handling
Statistics intro: Mean, median, & mode
Mean, median, & mode example
Reading bar charts: comparing two sets of data
Reading bar charts: putting it together with central tendency
Simple probability: yellow marble
Simple probability: non-blue marble
Simple equations
Writing expressions with variables
Testing solutions to equations
One-step subtraction equations
One-step addition & subtraction equations: fractions & decimals
https://www.khanacademy.org/math/in-in-class-7th-math-cbse/x939d838e80cf9307:simple-equations/x939d838e80cf9307:solving-an-equation/v/one-step-multiplication-and-division-equations-with-fractions
Worked example: two-step equations
Two-step equations with decimals and fractions
Two-step equation word problem: computers
Two-step equation word problem: garden
Lines and angles
Complementary & supplementary angles
Vertical angles
Angles, parallel lines, & transversals
Missing angles with a transversal
The triangle and its properties
Intro to medians of a triangle
Triangle exterior angle example
Angles in a triangle sum to 180° proof
Worked example: Triangle angles (intersecting lines)
Finding angles in isosceles triangles (example 2)
Triangle inequality theorem
Intro to the Pythagorean theorem
Pythagorean theorem example
Congruence of triangles
Congruent triangles & the SSS postulate/criterion
Triangle congruence postulates/criteria
Why SSA isn't a congruence postulate/criterion
Comparing quantities
Equivalent ratio word problems
The meaning of percent
Finding a percent
Percent word problem: 78 is 15% of what number?
Fraction, decimal, and percent from visual model
Converting decimals to percents: 0.601
Converting percents to decimals & fractions example
https://www.khanacademy.org/math/in-in-class-7th-math-cbse/x939d838e80cf9307:comparing-quantities/x939d838e80cf9307:percentage-conversions/v/representing-a-number-as-a-decimal-percent-and-fraction
Percent word problem: penguins
Percent word problem: magic club
Intro to profit and loss
Finding profit percent
Intro to simple interest
Finding simple interest for one year
Finding simple interest for many years
Rational numbers
Intro to rational & irrational numbers
Ordering rational numbers
Perimeter and area
Area & perimeter word problem: dog pen
Comparing areas word problem
Area of a parallelogram
Finding height of a parallelogram
Area of a triangle
Radius & diameter from circumference
Area of a circle
Converting area units
Hectares as a unit of area
Area of composite shapes
Challenge problems: perimeter & area
Exponents and powers
Exponentiation warmup
Intro to exponents
1 and -1 to different powers
Exponent properties with products
Exponent properties with parentheses
Exponent properties with quotients
Worked example: Exponent properties
Introduction to scientific notation
Scientific notation examples
Orders of magnitude exercise example 2
Orders of magnitude exercise example 1
Algebraic expressions
Terms, factors, & coefficients
Intro to combining like terms
Combining like terms example
Combining like terms with negative coefficients
Adding polynomials
Subtracting polynomials
Evaluating expressions with two variables

Class 8

Title Link to Khan Academy videos
(English) Link to Khan Academy videos
(Hinglish)
Rational numbers
Inverse property of addition
Inverse property of multiplication
Distributive property when multiplying
Ordering rational numbers
Linear equations in one variable
Worked example: two-step equations
Equation with variables on both sides: fractions
https://www.khanacademy.org/math/in-in-class-8th-math-cbse/xa9e4cdc50bd97244:linear-equations-in-one-variable/xa9e4cdc50bd97244:solving-equations-with-variables-on-both-sides/v/solving-equations-with-the-distributive-property-2
Equations with parentheses
Two-step equation word problem: garden
Sums of consecutive integers
Two-step equation word problem: oranges
Understanding quadrilaterals
Polygons as special curves
Sum of interior angles of a polygon
Sum of the exterior angles of a polygon
Intro to quadrilateral
Quadrilateral types
Kites as a geometric shape
Proof: Opposite sides of a parallelogram
Proof: Opposite angles of a parallelogram
Proof: Diagonals of a parallelogram
Proof: Rhombus diagonals are perpendicular bisectors
Rhombus diagonals
Data handling
Reading pictographs
Reading bar charts: comparing two sets of data
Interpreting a histogram
Creating a histogram
Reading pie graphs (circle graphs)
Squares and square roots
Intro to square roots
Understanding square roots
Simplifying square roots
Square roots by division method visualised
Square root of decimal
Approximating square roots to hundredths
Cubes and cube roots
Intro to cube roots
Simplifying a cube root
Cube root of a non-perfect cube
Comparing quantities
Percent word problem: penguins
Percent word problem: magic club
Intro to profit and loss
Finding profit percent
Percent word problems: tax and discount
Intro to compound interest
Solved example: compound interest
Algebraic expressions and identities
Adding polynomials
Subtracting polynomials
Multiplying monomials
Multiplying monomials challenge
Multiplying monomials by polynomials
Multiplying monomials by polynomials challenge
Multiplying binomials intro
Multiplying binomials by polynomials
Special products of the form (x+a)(x-a)
Squaring binomials of the form (x+a)²
Squaring binomials of the form (ax+b)²
Polynomial word problem: total value of bills
Polynomial word problem: area of a window
Polynomial word problem: rectangle and circle area
Visualising solid shapes
Recognizing common 3D shapes
Counting faces and edges of 3D shapes
Mensuration
Area of trapezoids
Area of composite shapes
Surface area of a box (cuboid)
Volume of a rectangular prism
Cylinder volume & surface area
https://www.khanacademy.org/math/in-in-class-8-math-india-hindi/x1091119cf1369fcf:mensuration/x1091119cf1369fcf:cylinder/v/cylinder-surface-area-hindi
Exponents and powers
Worked example: Exponent properties
Negative exponents
Negative exponent intuition
Multiplying & dividing powers (integer exponents)
https://www.khanacademy.org/math/in-in-class-8th-math-cbse/xa9e4cdc50bd97244:exponents-and-powers/xa9e4cdc50bd97244:laws-of-exponents-more-practice/v/powers-of-products-and-quotients-integer-exponents
Introduction to scientific notation
Scientific notation examples
Orders of magnitude exercise example 2
Orders of magnitude exercise example 1
Factorisation
Worked example: finding the missing monomial factor
Greatest common factor of monomials
Taking common factor from binomial
Difference of squares intro
Perfect square factorization intro
Factoring quadratics as (x+a)(x+b)
More examples of factoring quadratics as (x+a)(x+b)
Divide polynomials by x (with remainders)
Divide polynomials by monomials (with remainders)
Dividing polynomials with remainders
Introduction to graphs
Introduction to the coordinate plane
Interpreting plotted points
Playing with numbers
Divisibility tests for 2, 3, 4, 5, 6, 9, 10
The why of the 3 divisibility rule
The why of the 9 divisibility rule
Common divisibility examples

Class 9

Title Link to Khan Academy videos
(English) Link to Khan Academy videos
(Hinglish)
Number systems
Intro to rational & irrational numbers
Classifying numbers
Converting a fraction to a repeating decimal
Converting repeating decimals to fractions (part 1 of 2)
Converting repeating decimals to fractions (part 2 of 2)
Sums and products of irrational numbers
Worked example: rational vs. irrational expressions
Intro to rational exponents
Rewriting roots as rational exponents
Evaluating fractional exponents
Polynomials
Polynomials intro
Evaluating polynomials
Polynomial factors and graphs — Basic example
Intro to the Polynomial Remainder Theorem
Remainder theorem: checking factors
Which monomial factorization is correct?
Perfect square factorization intro
Multiplying monomials by polynomials
Multiplying binomials by polynomials
Special products of the form (ax+b)(ax-b)
Squaring binomials of the form (ax+b)²
Special products of binomials: two variables
Coordinate geometry
Introduction to the coordinate plane
Points and quadrants example
Finding the point not graphed
Linear equations in two variables
Worked example: solutions to 2-variable equations
Completing solutions to 2-variable equations
Graphing a linear equation: 5x+2y=20
Graphing a linear equation: y=2x+7
Lines and angles
Complementary & supplementary angles
Vertical angles
Angles, parallel lines, & transversals
Missing angles with a transversal
Triangle exterior angle example
Vertical angles are congruent proof
Parallel lines & corresponding angles proof
Proving angles are congruent
Angles in a triangle sum to 180° proof
Triangles
Intro to medians of a triangle
Angles in a triangle sum to 180° proof
Triangle angle challenge problem 2
Intro to the Pythagorean theorem
Pythagorean theorem example
Triangle congruence postulates/criteria
Why SSA isn't a congruence postulate/criterion
Proofs concerning isosceles triangles
Proofs concerning equilateral triangles
Geometry proof problem: midpoint
Geometry proof problem: congruent segments
Geometry proof problem: squared circle
Triangle inequality theorem
Ordering triangle sides and angles example
Quadrilaterals
Intro to quadrilateral
Quadrilateral types
Proof: Opposite sides of a parallelogram
Proof: Opposite angles of a parallelogram
Proof: Diagonals of a parallelogram
Proof: Rhombus diagonals are perpendicular bisectors
Rhombus diagonals
Proof: Rhombus area
Kites as a geometric shape
Proof: The diagonals of a kite are perpendicular
Areas of parallelograms and triangles (reduced)
Area of a parallelogram
Area of parallelogram proof
Area of a triangle
Area of triangle proof
Circles
Circles glossary
Radius, diameter, circumference & π
Proof: all circles are similar
Inscribed angles
Inscribed angle theorem proof
Proof: radius is perpendicular to a chord it bisects
Proof: perpendicular radius bisects chord
Inscribed quadrilaterals proof
Solving inscribed quadrilaterals
Proof: Right triangles inscribed in circles
Inscribed shapes: find diameter
Inscribed shapes: angle subtended by diameter
Inscribed shapes: find inscribed angle
Surface areas and volumes
Heron's formula
Surface area of a box (cuboid)
Volume of a rectangular prism
Cylinder volume & surface area
https://www.khanacademy.org/math/in-in-class-9-math-india-hindi/x88ae7e372100d2cd:surface-areas-and-volumes/x88ae7e372100d2cd:cube-cuboid-and-cylinder/v/cylinder-volume-hindi
Volume of a cone
Volume of a sphere
Statistics
Reading bar charts: comparing two sets of data
Creating a bar graph
Interpreting a histogram
Creating a histogram
Statistics intro: Mean, median, & mode
Mean, median, & mode example
Reading bar charts: putting it together with central tendency
Probability
Experimental probability
Making predictions with probability

Class 10

Title Link to Khan Academy videos
(English) Link to Khan Academy videos
(Hinglish)
Real numbers
Intro to Euclid's division algorithm
Euclid's division algorithm visualised
Example: Euclid's division algorithm
The fundamental theorem of arithmetic
Prime factorization exercise
HCF visualized
LCM visualized
HCF and LCM product
Least common multiple of three numbers
Proof: √2 is irrational
Proof: square roots of prime numbers are irrational
Polynomials
Zeros of polynomials introduction
Zeros of polynomials: matching equation to graph
Polynomial factors and graphs — Harder example
Intro to long division of polynomials
Dividing polynomials with remainders
Zeros of polynomials (with factoring): grouping
Pair of linear equations in two variables
Linear functions word problem: pool
Number of solutions to a system of equations
Systems of equations with substitution
Systems of equations with elimination (and manipulation)
https://www.khanacademy.org/math/in-in-grade-10-ncert/x573d8ce20721c073:pair-of-linear-equations-in-two-variables/x573d8ce20721c073:number-of-solutions-algebraically/v/examples-algebraically-analyzing-solutions-to-systems
Forming systems of eqn. with different no. of solns.
Age word problem: Ben & William
System of equations word problem: walk & ride
Systems of equations with elimination: TV & DVD
Quadratic equations
Solving quadratics by factoring: leading coefficient ≠ 1
Solving quadratics using structure
Worked example: Solving equations by completing the square
https://www.khanacademy.org/math/in-in-grade-10-ncert/x573d8ce20721c073:quadratic-equations/x573d8ce20721c073:solving-equations-by-completing-the-square/v/completing-the-square-to-solve-quadratic-equations
The quadratic formula
Worked example: quadratic formula (negative coefficients)
Proof of the quadratic formula
Using the quadratic formula: number of solutions
Discriminant for types of solutions for a quadratic
Quadratic equations word problem: triangle dimensions
https://www.khanacademy.org/math/in-in-grade-10-ncert/x573d8ce20721c073:quadratic-equations/x573d8ce20721c073:quadratic-equations-word-problems/v/example-3-solving-a-quadratic-equation-by-factoring
Quadratic word problem: ball
Arithmetic progressions
Intro to arithmetic progressions
Extending arithmetic sequences
Using arithmetic sequences formulas
Explicit formulas for arithmetic sequences
Nth term of an arithmetic progression
Arithmetic sequence problem
Arithmetic series intro
Arithmetic series formula
Worked example: arithmetic series (sum expression)
Arithmetic progression applied to divisibility
Sequences word problem: growth pattern
Triangles
Intro to triangle similarity
Triangle similarity postulates/criteria
Determining similar triangles
Solving similar triangles
Solving similar triangles: same side plays different roles
Using similar & congruent triangles
Challenging similarity problem
Pythagorean theorem proof using similarity
Pythagorean theorem word problem: fishing boat
Coordinate geometry
Finding distance with Pythagorean theorem
Distance formula
Ratio in which a point divides a line segment
Ratio in which a line divides a line segment
Midpoint formula
Area of triangle from coordinates example
Area of triangle formula derivation
Introduction to trigonometry
Intro to the trigonometric ratios
Trigonometric ratios in right triangles
Solving for a side in right triangles with trigonometry
Finding reciprocal trig ratios
Using reciprocal trig ratios
Special right triangles intro (part 1)
Special right triangles intro (part 2)
30-60-90 triangle example problem
Special right triangles proof (part 1)
Special right triangles proof (part 2)
Sine & cosine of complementary angles
Finding trig. ratios of complementary angles (worked examples)
Intro to Pythagorean trig identities
Convert between trig ratios eg.: write all ratios in terms of sin
Some applications of trigonometry
Intro to heights and distances
Heights and distances word problem: distance between two buildings
https://www.khanacademy.org/math/in-in-grade-10-ncert/x573d8ce20721c073:some-applications-of-trigonometry/x573d8ce20721c073:two-triangles-problems/v/example-2-heights-and-distances
Circles
Proof: Radius is perpendicular to tangent line
Tangents of circles problem (example 3)
Proof: Segments tangent to circle from outside point are congruent
Tangents of circles problem (example 1)
Tangents of circles problem (example 2)
Areas related to circles
Angles, arc lengths, and trig functions
Finding circumference of a circle when given the area
Partial circle area and arc length
Area of a sector
Area of a shaded region
Surface areas and volumes
Area of combination of solids
Problem types: surface area of combination of solids
https://www.khanacademy.org/math/in-in-grade-10-ncert/x573d8ce20721c073:surface-areas-and-volumes/x573d8ce20721c073:combination-of-solids/v/surface-area-of-combination-of-solids-problem-types
Volume of combination of solids
Problem types: volume of combination of solids
Volume word problem: gold ring
Volume of rectangles inside rectangles
Curved surface area of a frustum
Volume of a frustum
Statistics
Probability
Intro to theoretical probability
Theoretical and experimental probabilities
Simple probability: non-blue marble
Compound probability of independent events
Independent events example: test taking
Dependent probability introduction
Independent & dependent probability
Dependent probability: coins
Probability with Venn diagrams
Addition rule for probability

Class 11

Title Link to Khan Academy videos
(English)
Sets
Intersection and union of sets
Subset, strict subset, and superset
Relative complement or difference between sets
Universal set and absolute complement
Bringing the set operations together
Relations and functions
What is a function?
Recognizing functions from graph
Equations vs. functions
Worked example: matching an input to a function's output (graph)
Worked example: two inputs with the same output (graph)
Worked example: matching an input to a function's output (equation)
Intervals and interval notation
What is the domain of a function?
What is the range of a function?
Worked example: domain and range from graph
Determining whether values are in domain of function
Examples finding the domain of functions
Domain and range of quadratic functions
Introduction to piecewise functions
Worked example: evaluating piecewise functions
Worked example: domain & range of step function
Adding functions
Subtracting functions
Multiplying functions
Dividing functions
Trigonometric functions
Intro to radians
Radians & degrees
Degrees to radians
Radians to degrees
Radian angles & quadrants
Unit circle
The trig functions & right triangle trig ratios
Trig values of π/4
Graph of y=sin(x)
Graph of y=tan(x)
Intersection points of y=sin(x) and y=cos(x)
Sine & cosine identities: symmetry
Tangent identities: symmetry
Sine & cosine identities: periodicity
Tangent identities: periodicity
Review of trig angle addition identities
Using the cosine angle addition identity
Using the cosine double-angle identity
Proof of the sine angle addition identity
Proof of the cosine angle addition identity
Trig challenge problem: cosine of angle-sum
Proof of the Pythagorean trig identity
Using the Pythagorean trig identity
Solving sinusoidal equations of the form sin(x)=d
Solving cos(θ)=1 and cos(θ)=-1
Complex numbers
Intro to the imaginary numbers
Powers of the imaginary unit
Simplifying roots of negative numbers
i as the principal root of -1
Intro to complex numbers
Classifying complex numbers
Plotting numbers on the complex plane
Adding complex numbers
Subtracting complex numbers
Multiplying complex numbers
Intro to complex number conjugates
Complex number conjugates
Dividing complex numbers
Absolute value of complex numbers
Absolute value & angle of complex numbers
Polar & rectangular forms of complex numbers
Linear inequalities
Testing solutions to inequalities
Plotting inequalities
Plotting an inequality example
Two-step inequalities
Multi-step inequalities
Inequalities word problems
Two-step inequality word problem: R&B
Intro to graphing two-variable inequalities
Two-variable inequalities from their graphs
Intro to graphing systems of inequalities
Graphing systems of inequalities
Compound inequalities: OR
Compound inequalities: AND
Compound inequalities examples
Permutations and combinations
Count outcomes using tree diagram
Counting outcomes: flower pots
Factorial and counting seat arrangements
Permutation formula
Possible three letter words
Zero factorial or 0!
Ways to arrange colors
Ways to pick officers
Intro to combinations
Combination formula
Handshaking combinations
Combination example: 9 card hands
Binomial theorem
Intro to the Binomial Theorem
Pascal's triangle and binomial expansion
Expanding binomials
Expanding binomials w/o Pascal's triangle
Sequence and series
Sequences intro
Summation notation
Intro to arithmetic sequences
Explicit formulas for arithmetic sequences
Arithmetic series intro
Arithmetic series formula
Worked example: arithmetic series (sigma notation)
Worked example: arithmetic series (sum expression)
Worked example: arithmetic series (recursive formula)
Proof of finite arithmetic series formula
Intro to geometric sequences
Intro to geometric sequences (advanced)
Explicit & recursive formulas for geometric sequences
Converting recursive & explicit forms of geometric sequences
Geometric series introduction
Geometric series intro
Finite geometric series formula
Worked examples: finite geometric series
Geometric series with sigma notation
Worked example: finite geometric series (sigma notation)
Sequences word problem: growth pattern
Geometric series word problems: swing
Geometric series word problems: hike
Finite geometric series word problem: social media
Finite geometric series word problem: mortgage
Sum of n squares (part 1)
Sum of n squares (part 2)
Sum of n squares (part 3)
Straight lines
Two-variable linear equations intro
Solutions to 2-variable equations
Worked example: solutions to 2-variable equations
Completing solutions to 2-variable equations
Intro to slope
Positive & negative slope
Worked example: slope from graph
Graphing a line given point and slope
Calculating slope from tables
Worked example: slope from two points
Slope of a horizontal line
Horizontal & vertical lines
Intro to intercepts
x-intercept of a line
Intercepts from an equation
Intercepts from a table
Slope, x-intercept, y-intercept meaning in context
Slope and intercept meaning in context
Slope and intercept meaning from a table
Finding slope and intercepts from tables
Linear functions word problem: fuel
Intro to slope-intercept form
Slope and y-intercept from equation
Worked examples: slope-intercept intro
Linear equation word problems
Graph from slope-intercept equation
Slope-intercept equation from graph
Slope-intercept equation from slope & point
Slope-intercept equation from two points
Constructing linear equations from context
Intro to point-slope form
Point-slope & slope-intercept equations
Intro to linear equation standard form
Graphing a linear equation: 5x+2y=20
Clarifying standard form rules
Converting from slope-intercept to standard form
Slope from equation
Writing linear equations in all forms
Conic sections
Intro to conic sections
Graphing circles from features
Features of a circle from its graph
Features of a circle from its standard equation
Graphing a circle from its standard equation
Writing standard equation of a circle
Features of a circle from its expanded equation
Intro to ellipses
Ellipse standard equation from graph
Ellipse graph from standard equation
Foci of an ellipse from equation
Intro to focus & directrix
Equation of a parabola from focus & directrix
Focus & directrix of a parabola from equation
Intro to hyperbolas
Vertices & direction of a hyperbola
Vertices & direction of a hyperbola (example 2)
Graphing hyperbolas (old example)
Equation of a hyperbola not centered at the origin
Conic section from expanded equation: circle & parabola
Conic section from expanded equation: ellipse
Conic section from expanded equation: hyperbola
Introduction to three dimensional geometry
Limits
Limits intro
Estimating limit values from graphs
Unbounded limits
One-sided limits from graphs
One-sided limits from graphs: asymptote
Connecting limits and graphical behavior
Connecting limits and graphical behavior (more examples)
Approximating limits using tables
Estimating limits from tables
One-sided limits from tables
Formal definition of limits Part 1: intuition review
Formal definition of limits Part 2: building the idea
Formal definition of limits Part 3: the definition
Formal definition of limits Part 4: using the definition
Limit properties
Limits of combined functions
Limits of combined functions: piecewise functions
Theorem for limits of composite functions
Limits by direct substitution
Undefined limits by direct substitution
Limits of trigonometric functions
Limits of piecewise functions
Limits of piecewise functions: absolute value
Limits by factoring
Limits by rationalizing
Trig limit using Pythagorean identity
Trig limit using double angle identity
Strategy in finding limits
Squeeze theorem intro
Limit of sin(x)/x as x approaches 0
Limit of (1-cos(x))/x as x approaches 0
Derivatives
Newton, Leibniz, and Usain Bolt
Derivative as a concept
Secant lines & average rate of change
Derivative as slope of curve
The derivative & tangent line equations
Formal definition of the derivative as a limit
Formal and alternate form of the derivative
Worked example: Derivative as a limit
Worked example: Derivative from limit expression
The derivative of x² at x=3 using the formal definition
The derivative of x² at any point using the formal definition
Limit expression for the derivative of function (graphical)
Power rule
Power rule (with rewriting the expression)
Basic derivative rules
Basic derivative rules: find the error
Basic derivative rules: table
Differentiating polynomials
Differentiating integer powers (mixed positive and negative)
Product rule
Differentiating products
Worked example: Product rule with table
Worked example: Product rule with mixed implicit & explicit
Quotient rule
Worked example: Quotient rule with table
Differentiating rational functions
Derivatives of sin(x) and cos(x)
Worked example: Derivatives of sin(x) and cos(x)
Derivatives of tan(x) and cot(x)
Derivatives of sec(x) and csc(x)
Justifying the power rule
Proof of power rule for positive integer powers
Proof of power rule for square root function
Limit of sin(x)/x as x approaches 0
Limit of (1-cos(x))/x as x approaches 0
Proof of the derivative of sin(x)
Proof of the derivative of cos(x)
Product rule proof
Statistics
Statistics intro: Mean, median, & mode
Comparing means of distributions
Measures of spread: range, variance & standard deviation
Variance of a population
Population standard deviation
Mean and standard deviation versus median and IQR
Range and mid-range
Mean absolute deviation (MAD)
Mean absolute deviation example

Class 12

Title Link to Khan Academy videos
(English)
Relations and functions
Intro to composing functions
Evaluating composite functions
Evaluating composite functions: using tables
Evaluating composite functions: using graphs
Finding composite functions
Evaluating composite functions (advanced)
Intro to inverse functions
Inputs & outputs of inverse functions
Graphing the inverse of a linear function
Finding inverse functions: linear
Verifying inverse functions by composition
Verifying inverse functions by composition: not inverse
Determining if a function is invertible
Restricting domains of functions to make them invertible
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:relations-and-functions/xd340c21e718214c5:invertible-functions/v/restricting-trig-function-domain
Inverse trigonometric functions
Intro to arcsine
Intro to arctangent
Intro to arccosine
Restricting domains of functions to make them invertible
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:inverse-trigonometric-functions/xd340c21e718214c5:intro-to-inverse-trigonometric-functions/v/restricting-trig-function-domain
Domain & range of inverse tangent function
Using inverse trig functions with a calculator
Matrices
Intro to matrices
Adding & subtracting matrices
Multiplying matrices by scalars
Intro to matrix multiplication
Multiplying matrices
Defined matrix operations
Intro to identity matrix
Dimensions of identity matrix
Is matrix multiplication commutative?
Associative property of matrix multiplication
Zero matrix & matrix multiplication
Using properties of matrix operations
Using identity & zero matrices
Transpose of a matrix
Transpose of a matrix product
Transposes of sums and inverses
Intro to matrix inverses
Determining invertible matrices
Inverting a 3x3 matrix using Gaussian elimination
Determinants
Determinant of a 2x2 matrix
Determinant of a 3x3 matrix: standard method (1 of 2)
Determinant of a 3x3 matrix: shortcut method (2 of 2)
Determinant when row multiplied by scalar
(correction) scalar multiplication of row
Determinant when row is added
Duplicate row determinant
Determinant after row operations
Upper triangular determinant
Inverting a 3x3 matrix using determinants Part 1: Matrix of minors and cofactor matrix
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:determinants/xd340c21e718214c5:adjoint-and-inverse-of-a-matrix-using-minors-and-cofactors/v/inverting-3x3-part-1-calculating-matrix-of-minors-and-cofactor-matrix
Inverting a 3x3 matrix using determinants Part 2: Adjugate matrix
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:determinants/xd340c21e718214c5:adjoint-and-inverse-of-a-matrix-using-minors-and-cofactors/v/inverting-3x3-part-2-determinant-and-adjugate-of-a-matrix
Representing linear systems with matrix equations
Solving linear systems with matrices
Matrix word problem: vector combination
Continuity & differentiability
Continuity introduction
Worked example: Continuity at a point (graphical)
Limit properties
Limits of combined functions
Theorem for limits of composite functions
Functions continuous on all real numbers
Functions continuous at specific x-values
Intermediate value theorem
Worked example: using the intermediate value theorem
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:intermediate-value-theorem/v/intermediate-value-theorem-example
Differentiability at a point: graphical
Differentiability at a point: algebraic (function is differentiable)
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:differentiability/v/differentiability-at-a-point-algebraic-is-differentiable
Differentiability at a point: algebraic (function isn't differentiable)
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:differentiability/v/differentiability-at-a-point-algebraic-not-differentiable
Product rule
Differentiating products
Worked example: Product rule with table
Worked example: Product rule with mixed implicit & explicit
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:product-rule/v/product-rule-example-mixed-implicit-explicit
Product rule to find derivative of product of three functions
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:product-rule/v/product-rule-for-more-than-two-functions
Product rule proof
Quotient rule from product & chain rules
Worked example: Quotient rule with table
Tangent to y=𝑒ˣ/(2+x³)
Normal to y=𝑒ˣ/x²
Chain rule
Worked example: Derivative of cos³(x) using the chain rule
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:chain-rule/v/differentiating-composite-functions-1
Worked example: Derivative of ln(√x) using the chain rule
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:chain-rule/v/differentiating-composite-functions-2
Worked example: Derivative of √(3x²-x) using the chain rule
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:chain-rule/v/chain-rule-definition-and-example
Worked example: Chain rule with table
Differentiating rational functions
Worked example: Derivative of ∜(x³+4x²+7) using the chain rule
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:radical-functions-differentiation/v/radical-functions-differentiation
Derivatives of tan(x) and cot(x)
Derivatives of sec(x) and csc(x)
Worked example: Derivative of sec(3Ï€/2-x) using the chain rule
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:trigonometric-functions-differentiation/v/trig-functions-differentiation-sec
Derivatives of sin(x), cos(x), tan(x), eˣ & ln(x)
Derivative of aˣ (for any positive base a)
Worked example: Derivative of 7^(x²-x) using the chain rule
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:exponential-functions-differentiation/v/exponential-functions-differentiation
Derivative of logₐx (for any positive base a≠1)
Worked example: Derivative of log₄(x²+x) using the chain rule
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:logarithmic-functions-differentiation/v/log-functions-differentiation
Differentiating logarithmic functions using log properties
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:continuity-differentiability/xd340c21e718214c5:logarithmic-functions-differentiation/v/derivative-log-properties
Derivative of eᶜᵒˢˣ⋅cos(eˣ)
Derivative of sin(ln(x²))
Advanced differentiation
Implicit differentiation
Worked example: Implicit differentiation
Worked example: Evaluating derivative with implicit differentiation
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:advanced-differentiation/xd340c21e718214c5:implicit-differentiation-introduction/v/finding-slope-of-tangent-line-with-implicit-differentiation
Showing explicit and implicit differentiation give same result
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:advanced-differentiation/xd340c21e718214c5:implicit-differentiation-introduction/v/showing-explicit-and-implicit-differentiation-give-same-result
Implicit differentiation (advanced example)
Implicit differentiation (advanced example)
Implicit differentiation (advanced example)
Derivative of ln(x) from derivative of 𝑒ˣ and implicit differentiation
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:advanced-differentiation/xd340c21e718214c5:implicit-differentiation-advanced/v/derivative-natural-logarithm
Derivative of inverse sine
Derivative of inverse cosine
Derivative of inverse tangent
Derivatives of inverse functions: from equation
Derivatives of inverse functions: from table
Disguised derivatives
Proof: d/dx(ln x) = 1/x
Proof: d/dx(eˣ) = eˣ
Proofs of derivatives of ln(x) and eˣ
Composite exponential function differentiation
Worked example: Composite exponential function differentiation
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:advanced-differentiation/xd340c21e718214c5:logarithmic-differentiation/v/composite-exponential-function-differentiation
Second derivatives
Mean value theorem
Mean value theorem example: polynomial
Mean value theorem example: square root function
Mean value theorem application
Playing with graphs (using differentiation)
Introduction to minimum and maximum points
Identifying relative minimum and maximum values
Critical points introduction
Finding critical points
Finding decreasing interval given the function
Finding increasing interval given the derivative
Finding relative extrema (first derivative test)
Analyzing a function with its derivative
Worked example: finding relative extrema
Extreme value theorem
Finding absolute extrema on a closed interval
Absolute minima & maxima (entire domain)
Concavity introduction
Analyzing concavity (graphical)
Analyzing concavity (algebraic)
Second derivative test
Inflection points introduction
Inflection points (graphical)
Worked example: Inflection points from first derivative
Inflection points (algebraic)
Curve sketching with calculus: polynomial
Curve sketching with calculus: logarithm
Applications of derivatives
Local linearity
Linear approximation example (old)
Related rates intro
Related rates: Approaching cars
Related rates: Falling ladder
Related rates: water pouring into a cone
Related rates: shadow
Related rates: balloon
Tangent to y=𝑒ˣ/(2+x³)
Worked example: Tangent to the graph of 1/x
Normal to y=𝑒ˣ/x²
Optimization: sum of squares
Optimization: box volume (Part 1)
Optimization: box volume (Part 2)
Optimization: profit
Optimization: cost of materials
Optimization: area of triangle & square (Part 1)
Optimization: area of triangle & square (Part 2)
Optimization problem: extreme normaline to y=x²
Applied rate of change: forgetfulness
Applied rates of change: marginal costs
Marginal cost & differential calculus
L'Hôpital's rule introduction
L'Hôpital's rule: limit at 0 example
L'Hôpital's rule: challenging problem
L'Hôpital's rule: limit at infinity example
L'Hôpital's rule: solve for a variable
L’Hôpital’s rule (composite exponential functions)
Proof of special case of l'Hôpital's rule
Indefinite Integrals
Antiderivatives and indefinite integrals
Reverse power rule
Rewriting before integrating: challenge problem
Visually determining antiderivative
Graphs of indefinite integrals
Indefinite integrals of sin(x), cos(x), and eˣ
Indefinite integral of 1/x
Particular solutions to differential equations: rational function
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:indefinite-integrals/xd340c21e718214c5:indefinite-integrals-of-common-functions/v/finding-constant-of-integration-rational
Particular solutions to differential equations: exponential function
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:indefinite-integrals/xd340c21e718214c5:indefinite-integrals-of-common-functions/v/finding-constant-of-integration-exponential
Integration by parts intro
Integration by parts: ∫x⋅cos(x)dx
Integration by parts: ∫ln(x)dx
Integration by parts: ∫x²⋅𝑒ˣdx
Integration by parts: ∫𝑒ˣ⋅cos(x)dx
𝘶-substitution intro
𝘶-substitution: rational function
𝘶-substitution: multiplying by a constant
𝘶-substitution: logarithmic function
𝘶-substitution: challenging application
𝘶-substitution: special application
𝘶-substitution: definite integral of exponential function
𝘶-substitution: double substitution
Reverse chain rule introduction
Reverse chain rule example
Integral of tan x
Partial fraction decomposition to evaluate integral
Integration using long division
Integral of cos^3(x)
Integral of sin^2(x) cos^3(x)
Integral of sin^4(x)
Introduction to trigonometric substitution
Substitution with x=sin(theta)
More trig sub practice
Trig and u substitution together (part 1)
Trig and u substitution together (part 2)
Trig substitution with tangent
More trig substitution with tangent
Long trig sub problem
Definite Integrals
Worked example: Breaking up the integral's interval
Functions defined by integrals: switched interval
Functions defined by integrals: challenge problem
The fundamental theorem of calculus and accumulation functions
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:fundamental-theorem-of-calculus/v/fundamental-theorem-of-calculus
Finding derivative with fundamental theorem of calculus
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:fundamental-theorem-of-calculus/v/applying-the-fundamental-theorem-of-calculus
Finding derivative with fundamental theorem of calculus: x is on both bounds
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:fundamental-theorem-of-calculus/v/both-bounds-being-a-function-of-x
Proof of fundamental theorem of calculus
Finding derivative with fundamental theorem of calculus
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:fundamental-theorem-of-calculus-chain-rule/v/applying-the-fundamental-theorem-of-calculus
Finding derivative with fundamental theorem of calculus: x is on lower bound
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:fundamental-theorem-of-calculus-chain-rule/v/swapping-the-bounds-for-definite-integral
Worked example: Definite integral by thinking about the function's graph
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:definite-integral-as-area/v/evaluating-definite-integral-from-graph
Integrating scaled version of function
Integrating sums of functions
Definite integral over a single point
Definite integrals on adjacent intervals
Definite integral of shifted function
Switching bounds of definite integral
Worked examples: Finding definite integrals using algebraic properties
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:definite-integral-properties/v/properties-of-definite-integrals-2
Definite integral properties (no graph): function combination
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:definite-integral-properties/v/definite-integral-using-integration-properties
Worked examples: Definite integral properties 2
Definite integral properties (no graph): breaking interval
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:definite-integral-properties/v/definite-integral-properties-example
Examples leveraging integration properties
The fundamental theorem of calculus and definite integrals
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:definite-integral-evaluation/v/connecting-the-first-and-second-fundamental-theorems-of-calculus
Intuition for second part of fundamental theorem of calculus
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:definite-integral-evaluation/v/intuition-for-second-fundamental-theorem-of-calculus
Area between a curve and the x-axis
Area between a curve and the x-axis: negative area
Definite integral of rational function
Definite integral of radical function
Definite integral of trig function
Definite integral involving natural log
Definite integral of piecewise function
Definite integral of absolute value function
Challenging definite integration
Introduction to improper integrals
Improper integral with two infinite bounds
Divergent improper integral
Riemann approximation introduction
Riemann sums in summation notation
Motion problem with Riemann sum approximation
Worked example: Riemann sums in summation notation
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:riemann-sums-with-sigma-notation/v/practice-approximating-area-under-curve
Riemann sums in summation notation: challenge problem
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:definite-integrals/xd340c21e718214c5:riemann-sums-with-sigma-notation/v/riemann-sum-negative-function
Midpoint and trapezoidal sums in summation notation
Trapezoidal sums
Definite integral as the limit of a Riemann sum
Ranking area estimates
Application of integrals
Area between a curve and the x-axis
Area between curves
Composite area between curves
Area bounded by polar curves
Worked example: Area enclosed by cardioid
Worked example: Area between two polar graphs
Evaluating definite integral with calculator
Differential equations
Differential equations introduction
Worked example: linear solution to differential equation
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:differential-equations/xd340c21e718214c5:differential-equations-intro/v/finding-particular-linear-solution-to-differential-equation
Writing a differential equation
Separable equations introduction
Addressing treating differentials algebraically
Worked example: identifying separable equations
Worked example: finding a specific solution to a separable equation
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:differential-equations/xd340c21e718214c5:separable-equations/v/particular-solution-to-differential-equation-example
Worked example: separable equation with an implicit solution
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:differential-equations/xd340c21e718214c5:separable-equations/v/using-particular-solution-to-separable-differential-equation
Separable equations (old)
Separable equations example (old)
First order homogenous equations
First order homogeneous equations 2
Exact equations intuition 1 (proofy)
Exact equations intuition 2 (proofy)
Exact equations example 1
Exact equations example 2
Exact equations example 3
Integrating factors 1
Integrating factors 2
Vector algebra
Three dimensional geometry
Probability
Calculating conditional probability
Conditional probability explained visually
Conditional probability tree diagram example
Conditional probability and independence
Analyzing event probability for independence
Discrete and continuous random variables
Constructing a probability distribution for random variable
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:probability/xd340c21e718214c5:discrete-random-variables/v/discrete-probability-distribution
Probability models example: frozen yogurt
Valid discrete probability distribution examples
Probability with discrete random variable example
Mean (expected value) of a discrete random variable
Variance and standard deviation of a discrete random variable
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:probability/xd340c21e718214c5:discrete-random-variables/v/variance-and-standard-deviation-of-a-discrete-random-variable
Binomial variables
Recognizing binomial variables
10% Rule of assuming "independence" between trials
Binomial distribution
Visualizing a binomial distribution
Binomial probability example
Generalizing k scores in n attempts
Free throw binomial probability distribution
Graphing basketball binomial distribution
Binompdf and binomcdf functions
Mean and variance of Bernoulli distribution example
Bernoulli distribution mean and variance formulas
Expected value of a binomial variable
Variance of a binomial variable
Finding the mean and standard deviation of a binomial random variable
https://www.khanacademy.org/math/in-in-grade-12-ncert/xd340c21e718214c5:probability/xd340c21e718214c5:binomial-mean-and-standard-deviation-formulas/v/finding-the-mean-and-standard-deviation-of-a-binomial-random-variable
Term life insurance and death probability
Getting data from expected value
Expected profit from lottery ticket
Expected value while fishing
Comparing insurance with expected value

---

Ready-to-use Math content plan: Class 1
Exercise Name Khan Academy link
Numbers from 1 to 9
Count with small numbers
Count in order
Compare numbers of objects 1
Comparing numbers to 10
Compare numbers of objects 2
Add within 5
Making 5
Making small numbers in different ways
Make 10 (grids and number bonds)
Make 10
Subtract within 5
Add within 10
Subtract within 10
Relate addition and subtraction
Addition word problems within 10
Subtraction word problems within 10
Unit test on Numbers from 1 to 9
Numbers from 10 to 20
Teen numbers
Find 1 more or 1 less than a number
Count in pictures
Count objects 1
Count objects 2
Add within 20
Add 3 numbers
Subtract within 20
Equal sign
Find missing number (add and subtract within 20)
Adding with arrays
Addition and subtraction word problems 1
Addition and subtraction word problems 2
Add and subtract within 20 word problems
Word problems with "more" and "fewer" 2
Unit test on Numbers from 10 to 20
Numbers from 1 to 100
Missing numbers
Numbers to 100
Count tens
Groups of ten objects
Tens and ones
2-digit place value challenge
Compare 2-digit numbers
Compare 2-digit numbers 2
Unit test on Numbers from 1 to 100
Geometry and measurement
Relative position
Compare size
Order by length
Indirect measurement
Unit test on Geometry and measurement

Class 2

Exercise Name Khan Academy link
Numbers from 1 to 100
Missing numbers
Numbers to 100
Groups of ten objects
Tens and ones
2-digit place value challenge
Compare 2-digit numbers
Compare 2-digit numbers 2
Unit test on Numbers from 1 to 100
Addition and subtraction without regrouping
Add 1 or 10
Add 1s or 10s (no regrouping)
Subtract 1 or 10
Subtracting 1s or 10s (no regrouping)
Adding up to four 2-digit numbers
Break apart 2-digit addition problems
Add within 100 using a number line
Subtract within 100 using a number line
Add and subtract on the number line word problems
Unit test on Addition and subtraction without regrouping
Addition and subtraction with regrouping
Regroup when adding 1-digit numbers
Add 2-digit numbers by making tens
Add within 100 using place value blocks
Subtract within 100 using place value blocks
Find the missing number (add and subtract within 100)
Addition word problems within 100
Subtraction word problems within 100
2-step addition word problems within 100
2-step subtraction word problems within 100
Unit test on Addition and subtraction with regrouping
Geometry and measurement
Estimate lengths
Estimate mass (grams and kilograms)
Estimate volume (milliliters and liters)
Unit test on Geometry and measurement

Class 3

Exercise Name Khan Academy link
Numbers from 1 to 1000
Hundreds, tens, and ones
Write numbers in different forms
Compare 3-digit numbers
Skip-count by 5s
Skip-count by 10s
Skip-counting by 100s
Unit test on Numbers from 1 to 1000
Addition and subtraction without regrouping
Add 10s and 100s (no regrouping)
Add within 1,000 using place value blocks
Subtract 10s and 100s (no regrouping)
Subtract within 1,000 using place value blocks
Break apart 3-digit addition problems
Break apart 3-digit subtraction problems
Add on a number line
Subtract on a number line
Unit test on Addition and subtraction without regrouping
Addition and subtraction with regrouping
Add using groups of 10 and 100
Add within 1000
Subtract within 1000
Find the missing number (add and subtract within 1000)
Add and subtract within 1000 word problems
Unit test on Addition and subtraction with regrouping
Multiplication
Equal groups
Understand equal groups as multiplication
Relate repeated addition to multiplication
Represent multiplication on the number line
Multiply by 0 or 1
Multiply by 2
Multiply by 4
Multiply by 2 and 4
Multiply by 3
Multiply by 6
Multiply by 3 and 6
Multiply by 7
Multiply by 8
Multiply by 9
Multiplication in contexts
Multiply by 5
Multiply by 10
Multiply by 5 and 10
Multiplying 10s
Multiply 2-digit numbers with area models
Unit test on Multiplication
Division
Division with groups of objects
Division with arrays
Divide with visuals
Divide by 1
Divide by 2
Divide by 4
Divide by 5
Divide by 10
Divide by 3
Divide by 6
Divide by 7
Divide by 8
Divide by 9
Division in contexts
Multiplication and division word problems (within 100)
Unit test on Division
Smart charts
Solve problems with picture graphs
Make picture graphs
Geometry and measurement
Estimate lengths
Estimate volume (milliliters and liters)
Estimate mass (grams and kilograms)
Unit test on Geometry and measurement

Class 4

Exercise Name Khan Academy link
Addition and subtraction
Select strategies for adding within 1000
Add within 1000
Subtract on a number line
Subtract within 1000
Unit test on Addition and subtraction
Multiplication
Multiply 2-digits by 1-digit with area models
Multiply 2-digit numbers with area models
Multiply 2-digits by 1-digit with distributive property
Multiply 3- and 4-digits by 1-digit with distributive property
Multiply without regrouping
Multiply with regrouping
Multiply 2-digit numbers
Multi-digit multiplication
Unit test on Multiplication
Division
Relate division to multiplication
Relate multiplication and division equations
Fact families
Divide using place value
Divide by 1-digit numbers with area models
Divide multiples of 10, 100, and 1,000 by 1-digit numbers
Create division equations with area models
Unit test on Division
Smart charts
Solve problems with picture graphs
Make picture graphs
Solve problems with bar graphs 1
Make bar graphs
Unit test on Smart charts
Halves and quarters
Halves
Equal parts of rectangles
Geometry and measurement
Estimating length (mm, cm, m, km)
Estimate volume (milliliters and liters)
Word problems with volume
Estimate mass (grams and kilograms)
Word problems with mass
Tell time to hour or half hour
Telling time on a clock
Telling time on a number line
Find perimeter by counting units
Find perimeter when given side lengths
Area of rectangles with partial arrays
Unit test on Geometry and measurement

Class 5

Exercise Name Khan Academy link
Addition and subtraction
Add within 1000
Multi-digit addition
Subtract within 1000
Multi-digit subtraction
Unit test on Addition and Subtraction
Multiplication
Multiply using partial products
Multiply with partial products (2-digit numbers)
Multiply without regrouping
Multiply with regrouping
Multiply 2-digit numbers
Multi-digit multiplication
Unit test on Multiplication
Division
Create division equations with area models
Divide with remainders (2-digit by 1-digit)
Divide multi-digit numbers by 6, 7, 8, and 9 (remainders)
Multi-digit division
Basic multi-digit division
Division by 2-digits
Divide multi-digit numbers by 2, 3, 4, and 5 (remainders)
Unit test on Division
Parts and wholes
Cut shapes into equal parts
Recognize fractions
Understand numerators and denominators
Fractions in contexts
Equivalent fractions
Simplify fractions
Unit test on Parts and Wholes
Tenths and Hundredths
Decimals in expanded form
Decimals in words
Decimals on the number line: tenths
Decimals on the number line: hundredths
Write decimals as fractions
Converting fractions to decimals
Rewriting decimals as fractions challenge
Order decimals
Order decimals and fractions in different forms
Unit test on Tenths and Hundredths
Factors and multiples
Factor pairs
Identify factors
Relate factors and multiples
Identify multiples
Unit test on Factors and Multiples
Smart charts
Read picture graphs (multi-step problems)
Create picture graphs (picture more than 1)
Solve problems with bar graphs 1
Solve problems with bar graphs
Make bar graphs
Unit test on Smart Charts
How big? How heavy?
Estimating length (mm, cm, m, km)
Estimate volume (milliliters and liters)
Word problems with volume
Estimate mass (grams and kilograms)
Word problems with mass
Convert units (metrics)
Unit test on How big? How heavy?
Shapes and angles
Angle basics
Name angles
Measure angles
Angle types
Recognize angles in figures
Unit test on Shapes and Angles
Area and its boundary
Understand area
Find area by counting unit squares
Create rectangles with a given area
Area of rectangles with partial arrays
Transition from unit squares to area formula
Area of rectangles
Find a missing side length when given area
Find perimeter by counting units
Find perimeter when given side lengths
Unit test on Area and its boundary
Identify patterns
Math patterns
Patterns with shapes
Patterns with numbers
Patterns in hundreds chart
Patterns in multiplication tables
Unit test on Identify patterns

Class 6

Exercise Name Khan Academy link NCERT mapping
Knowing our numbers
Compare multi-digit numbers
Compare multi-digit numbers word problems
Convert between lakhs, crores, millions, and billions
Word problems involving lakhs and crores
Convert to smaller units (mm, cm, m, & km)
Convert to smaller units (mL and L)
Convert to smaller units (g and kg)
Metric conversions word problems
Round to nearest 10 or 100 on the number line
Round whole numbers
Estimate to add multi-digit whole numbers
Estimate multi-digit multiplication problems
Practice using brackets-1
Practice using brackets-2
Practice how to read Roman numerals
Practice how to convert numbers into Romam numerals
Unit test on Knowing our numbers
Whole numbers
Successor and predecessor on the number line
Add on a number line
Represent multiplication on the number line
Commutative property of multiplication
Associative property of multiplication
Visualize distributive property
Distributive property
Unit test on Whole numbers
Playing with numbers
Relate factors and multiples
Intro to factors and multiples
Identify prime numbers
Identify composite numbers
Conceptual ques. on odd, even, prime, composite nos.
Divisibility tests
Identify common factors
Identify co-prime numbers
Divisibility tests for 8 and 11
Divisibility
Divisibility by 6, 12, 18 and 20
Prime factorization
Prime factorization of larger numbers
Greatest common factor
Least common multiple
GCF & LCM word problems
Unit test on Playing with numbers
Basic geometrical ideas
Identify points, lines, line segments, rays, and angles
Rays, lines and line segments (challenge problems)
Open and closed curves
Position of a point in curves and polygons
Name angles
Identify parts of an angle
Circle vocabulary
Unit test on Basic geometrical ideas
Understanding elementary shapes
Measuring segments
Measure angles
Types of angles
Recognize angles in figures
Angles in circles
Identify parallel and perpendicular lines
Classify triangles by angles
Classify triangles by side lengths
Classify triangles by both sides and angles
Identify quadrilaterals
Analyze quadrilaterals
Quadrilateral types
Classify shapes by line and angle types
Identify parts of 3D shapes
Identify geometric solids (3D shapes)
Unit test on Understanding elementary shapes
Integers
Number opposites
Negative numbers on the number line
Ordering small negative numbers
Ordering negative numbers
Negative numbers, variables, number line
Adding negative numbers
Subtracting negative numbers
Adding & subtracting negative numbers
Unit test on Integers
Fractions
Fractions on the number line
Fractions greater than 1 on the number line
Write mixed numbers and improper fractions
Equivalent fractions
Equivalent fractions and different wholes
Simplify fractions
Compare fractions with the same N or D
Compare fractions with different N and D
Add fractions with common denominators
Subtract fractions with common denominators
Add fractions with unlike denominators
Subtracting fractions with unlike denominators
Word problems: addition and subtraction of fractions
Visualise fractions-1
Visualise fractions-2
Visualise operations on fractions
Unit test on Fractions
Decimals
Decimals in words
Decimals on the number line: tenths
Decimals on the number line: hundredths
Write decimals as fractions
Converting fractions to decimals
Rewriting decimals as fractions challenge
Order decimals
Order decimals and fractions in different forms
Adding decimals: hundredths
Adding decimals: thousandths
Subtracting decimals: hundredths
Subtracting decimals: thousandths
Adding & subtracting decimals word problems
Unit test on Decimals
Data handling
Read picture graphs
Read picture graphs (multi-step problems)
Create picture graphs (picture more than 1)
Solve problems with bar graphs 1
Solve problems with bar graphs
Make bar graphs
Unit test on Data handling
Mensuration
Find perimeter when given side lengths
Find a missing side length when given perimeter
Area of rectangles
Find a missing side length when given area
Understand decomposing figures to find area
Decompose figures to find area
Perimeter word problems
Area word problems
Unit test on Mensuration
Algebra
Writing basic expressions with variables
Writing expressions with variables
Evaluating expressions with multiple variables
Writing basic expressions word problems
Writing expressions word problems
Testing solutions to equations
Unit test on Algebra
Ratio and proportion
Basic ratios
Ratio tables
Solving proportions
Writing proportions
Equivalent ratio word problems
Unit rates
Rate problems
Comparing rates
Unit test on Ratio and proportion

Class 7

Exercise Name Khan Academy link NCERT mapping
Integers
Adding negative numbers on the number line
Adding & subtracting negative numbers
Multiplying negative numbers
Dividing negative numbers
Word problems involving negative numbers
Word problems on multiplying & dividing negative nos.
Unit test on Integers
Fractions and decimals
Add fractions with common denominators
Subtract fractions with common denominators
Multiply fractions and whole numbers
Multiplying fractions
Dividing unit fractions by whole numbers
Dividing whole numbers by unit fractions
Dividing fractions
Word problems: Multiplication and Division of Fractions
Word problems: Multiplication and Division of Fractions
Write decimals and fractions shown on number lines
Adding & subtracting decimals word problems
Multiplying decimals-I
Multiplying decimals-II
Dividing decimals: hundredths
Dividing decimals: thousandths
Word problems: Multiplication and Division of Decimals
Word problems on multiplication and division of decimals
Unit test on Fractions and decimals
Data handling
Mean, median, and mode
Range of ungrouped data
Outcomes of an event (basic)
Simple probability
Unit test on Data handling
Simple equations
Writing expressions with variables
Testing solutions to equations
One-step addition & subtraction equations
One-step add. & sub. equations: fractions & decimals
One-step mult. & div. equations: fractions & decimals
Two-step equations
Two-step equations with decimals and fractions
Linear equations word problems (basic)
Unit test on Simple equations
Lines and angles
Complementary and supplementary angles (visual)
Vertical angles
Finding angle measures between intersecting lines
Angle relationships with parallel lines
Equation practice with angles
Unit test on Lines and angles
The triangle and its properties
Identify medians and altitudes
Understand triangle exterior angle property
Triangle exterior angle property problems
Find angles in triangles
Finding angle measures using triangles
Find angles in isosceles triangles
Triangle side length rules
Use Pythagoras theorem to find right triangle side lengths
Right triangle side lengths
Use area of squares to visualize Pythagoras theorem
Unit test on The triangle and its properties
Congruence of triangles
Corresponding parts of congruent triangles
Determine congruent triangles
Find angles in congruent triangles
Unit test on Congruence of triangles
Comparing quantities
Equivalent ratio word problems (basic)
Intro to percents
Finding percents
Relate fractions, decimals, and percents
Convert decimals to percents
Convert percents to fractions
Percent word problems
Percentage change word problems
Profit and loss percent problems
Profit and loss word problems
Principal, rate of simple interest, and amount problems
Simple interest word problems
Unit test on Comparing quantities
Rational numbers
Order rational numbers
Rational numbers between two rational numbers
Adding & subtracting negative fractions
Multiplying positive and negative fractions
Dividing positive and negative fractions
Unit test on Rational numbers
Perimeter and area
Area & perimeter of rectangles word problems
Area of parallelograms
Find missing length when given area of a parallelogram
Area of triangles
Find missing length when given area of a triangle
Circumference of a circle
Area of a circle
Shaded areas
Area unit conversions
Area of composite shapes
Area challenge
Unit test on Perimeter and area
Exponents and powers
Exponents (basic)
Exponents
Multiply powers
Powers of powers
Divide powers
Powers of products & quotients (structured practice)
Powers of products & quotients
Scientific notation
Unit test on Exponents and powers
Algebraic expressions
Parts of algebraic expressions
Combining like terms with distribution
Combining like terms with negative coeff. & distribution
Add polynomials (intro)
Subtract polynomials (intro)
Evaluating expressions with one variable
Evaluating expressions with multiple variables
Unit test on Algebraic expressions

Class 8

Exercise Name Khan Academy link NCERT mapping
Rational numbers
Finding reciprocal of a fraction
Additive and multiplicative inverse of a rational no.
Visualize distributive property
Distributive property
Order rational numbers
Rational numbers on the number line
Rational numbers between two rational nos.
Finding real numbers between two rational nos.
Unit test on Rational numbers
Linear equations in one variable
Two-step equations
Equations with var. on both sides: decimals & frac.
Equations with variables on both sides
Equations with parentheses: decimals & fractions
Solving equations reducible to linear from
Exercise 2.6

Word problems linear equations (basic)
Sums of consecutive integers
Linear equations word problems (advanced)
Unit test on Linear equations in one variable
Understanding quadrilaterals
Open and closed curves
Polygon types
Angles of a polygon
Interior and exterior angles of a polygon
Analyze quadrilaterals
Quadrilateral types
Side and angle properties of a parallelogram (level 1)
Side and angle properties of a parallelogram (level 2)
Diagonal properties of parallelogram
Unit test on Understanding quadrilaterals
Data handling
Read picture graphs (multi-step problems)
Read bar graphs (2-step problems)
Knowing frequency distribution table better
Constructing frequency table
Read histograms
Create histograms
Plotting pie charts
Unit test on Data handling
Squares and square roots
Square roots
Square roots using prime factorisation (advanced)
Simplify square roots
Multiply or divide to make a perfect square
Number of digits in a square root of a number
Finding square roots using division method
Roots of decimals & fractions
Approximating square roots
Unit test on Squares and square roots
Cubes and cube roots
Cube roots
Multiply divide to make it a perfect cube
Units digit of a cube root
Cube root of a cube no.
Unit test on Cubes and cube roots
Comparing quantities
Percent word problems
Percentage change word problems
Profit and loss percent problems
Profit and loss word problems
Tax and tip word problems
Discount, markup, and commission word problems
Find compound interest
Word problems on compound interest
Unit test on Comparing quantities
Algebraic expressions and identities
Add polynomials (intro)
Subtract polynomials (intro)
Multiply monomials
Multiply monomials
Multiply monomials by polynomials
Multiply monomials by polynomials challenge
Multiply binomials intro
Multiply binomials
Multiply binomials by polynomials
Multiply difference of squares
Polynomial special products: perfect square
Unit test on Algebraic expressions and identities
Visualising solid shapes
Identify geometric solids (3D shapes)
Identify parts of 3D shapes
Mensuration
Area of trapezoids
Area of composite shapes
Volume of rectangular prisms
Volume of cylinders
Unit test on Mensuration
Exponents and powers
Multiply powers
Powers of powers
Divide powers
Powers of products & quotients
Negative exponents
Multiply & divide powers (integer exponents)
Powers of products & quotients (integer exponents)
Properties of exponents challenge (integer exponents)
Scientific notation
Unit test on Exponents and powers
Factorisation
Factor monomials
Greatest common factor of monomials
Factor polynomials: common factor
Difference of squares
Perfect squares
Factor polynomials using structure
Factoring quadratics intro
Factor quadratics by grouping
Divide polynomials by monomials (with remainders)
Divide polynomials by linear expressions
Divide polynomials with remainders
Unit test on Factorisation
Introduction to graphs
Identify coordinates
Identify points
Distance between points in first quadrant
Coordinate plane word problems (quadrant 1)
Unit test on Introduction to graphs
Playing with numbers
Divisibility tests
Divisibility tests for 8 and 11
Divisibility
Divisibility by 6, 12, 18 and 20
Unit test on Playing with numbers

Class 9

Exercise Name Khan Academy link NCERT mapping
Number systems
Classify numbers: rational & irrational
Classify numbers
Identifying decimal expansion of rational and irrational numbers
Writing fractions as repeating decimals
Converting repeating decimals to fractions
Converting multi-digit repeating decimals to fractions
Rational vs. irrational expressions
Adding and subtracting irrational numbers
Multiplying and dividing irrational numbers
Multiplying irrational expressions
Rationalising the denominator (basic)
Rationalising the denominator (advanced)
Unit-fraction exponents
Fractional exponents
Evaluate radical expressions challenge
Unit test on Number systems
Polynomials
Polynomials intro
Finding terms and coefficients of a polynomial
Classify polynomials based on degree
Classify polynomials based on terms
Finding value of a polynomial
Zeros of polynomial (intermediate)
Remainder theorem
Factors of a polynomial (basic)
Factors of a polynomial (advanced)
Multiply binomials
Multiply binomials by polynomials
Polynomial special products: perfect square
Identities (basic)
Factorising using identities
Multiplying numbers using identities
Unit test on Polynomials
Coordinate geometry
Cartesian plane nomenclature
Quadrants on the coordinate plane
Points on the coordinate plane
Unit test on Coordinate geometry
Linear equations in two variables
Solutions to 2-variable equations
Complete solutions to 2-variable equations
Graph from linear standard form
Plotting horizontal and vertical lines
Unit test on Linear equations in two variables
Lines and angles
Identifying supplementary, complementary, and vertical angles
Complementary and supplementary angles (visual)
Linear pair and vertically opposite angles
Angle relationships with parallel lines
Equation practice with angles
Solving angles formed by parallel lines and transversal
Finding angle measures using triangles
Find angles in triangles
Triangle exterior angle property problems
Unit test on Lines and angles
Triangles
Identify medians and altitudes
Triangle exterior angle property problems
Finding angle measures using triangles
Use Pythagoras theorem to find side lengths of right triangle
Right triangle side lengths
Use area of squares to visualize Pythagoras theorem
Determine congruent triangles
Find angles in congruent triangles
Triangle side length rules
Ordering triangle sides and angles
Unit test on Triangles
Quadrilaterals
Analyze quadrilaterals
Quadrilateral types
Side and angle properties of a parallelogram (level 1)
Side and angle properties of a parallelogram (level 2)
Diagonal properties of parallelogram
Unit test on Quadrilaterals
Areas of parallelograms and triangles (reduced)
Area of parallelograms
Find missing length when given area of a parallelogram
Find base and height on a triangle
Area of triangles
Find missing length when given area of a triangle
Unit test on Areas of parallelograms and triangles (reduced)
Circles
Circle vocabulary
Inscribed angles
Inscribed shapes
Unit test on Circles
Surface areas and volumes
Finding area of triangle using Heron's formula
Volume of rectangular prisms
Volume of cylinders
Volume of cones
Volume of spheres
Volume of cylinders, spheres, and cones word problems
Unit test on Surface areas and volumes
Statistics
Read bar graphs (2-step problems)
Create bar graphs
Read histograms
Create histograms
Mean, median, and mode
Range of ungrouped data
Unit test on Statistics
Probability
Simple probability
Experimental probability
Making predictions with probability
Comparing probabilities
Unit test on Probability

Class 10

Exercise Name Khan Academy link NCERT mapping
Real Numbers
HCF through Euclid's division algorithm
Prime factorization of larger nos.
Finding HCF & LCM of large nos.
HCF & LCM = product of nos.
HCF & LCM of three nos.
Identifying terminating decimals
Unit test on Real Numbers
Polynomials
Zeros of polynomial
Finding No. of roots using graph
Finding the polynomial with sum and product of roots given
Relation between coefficients and roots of a quadratic
Finding the unknown through sum and product of roots
Relation between coefficients and roots of a cubic
Divide polynomials by linear expressions
Divide polynomials with remainders
Zeros of polynomials (with factoring)
Unit test on Polynomials
Pair of linear equations in two variables
Graphing linear relationships word problems
No. of solutions to a system of equations graphically
Systems of equations with substitution
Systems of equations with elimination
Systems of equations with elimination challenge
Solving system of equations through cross multiplication
No. of solutions of system of equations
No. of solutions to systems of equations (intermediate)
Solving equations reducible to linear form
Word problems: Writing equations reducible to linear form
Identifying substitutions: Equations reducible to linear form
Age word problems
Systems of equations word problems
Forming equations with two variables
Word problems involving pair of linear equations
Unit test on Pair of linear equations in two variables
Quadratic equations
Quadratics by factoring
Quadratic equations with irrational and variable coeff.
Solve equations using structure
Completing the square (intermediate)
Completing the square
Quadratic formula
Equations reducible to quadratic equations
Equations reducible to quadratic equations (advanced)
No. of solutions of quadratic equations
Equations with equal roots (intermediate)
Equations with equal roots (advanced)
Finding nature of roots
Word problems: Writing quadratic equations
Word problems: Solving quadratic equations
Quadratic equations word problems (basic)
Quadratic equations word problems (intermediate)
Quadratic equations word problems (advanced)
Unit test on Quadratic equations
Arithmetic progressions
Extend arithmetic sequences
Explicit formulas for arithmetic sequences
Common difference (intermediate)
Middle term of an arithmetic progression
Common difference (advanced)
nth term of an arithmetic progression (basic)
nth term of an arithmetic progression (intermediate)
nth term of an arithmetic progression (advanced)
nth term challenge problems
Finding 'a' and 'd' when sum is given
Finding No. of terms when sum of the AP is given
Sum of n terms (intermediate)
Sum of n terms (advanced)
Comparing arithmetic progressions
Arithmetic progression applied to divisibility
nth term word problems
Word problems: Sum to n terms of an AP
Unit test on Arithmetic progressions
Triangles
Determine similar triangles: Angles
Determine similar triangles: SSS
Solve similar triangles (basic)
Solve similar triangles (advanced)
Use similar triangles
Use Pythagoras theorem to find right triangle side lengths
Use Pythagoras theorem to find isosceles triangle side lengths
Right triangle side lengths
Unit test on Triangles
Coordinate geometry
Distance between two points
Distance formula (advanced)
Distance formula (geometry applications)
Section formula (basic)
Section formula (intermediate)
Section formula (advanced)
Midpoint formula
Midpoint formula (geometry applications)
Midpoint formula (advanced)
Finding area of a triangle from coordinates
Finding area of quadrilateral from coordinates
Collinearity of three points
Unit test on Coordinate geometry
Introduction to trigonometry
Trig. ratios in right triangles
Solve for a side in right triangles
Find trig. ratios using the Pythagorean theorem
Reciprocal trig ratios
Evaluating expressions involving trig. ratios
Trigonometric ratios of special angles
Special right triangles
Evaluating trig. ratios for some special angles
Evaluating trig. ratios of complementary angles
Solving trig. eqn. having complementary angles
Evaluating expressions using basic trig. identities
Trig. identities challenge problems
Unit test on Introduction to trigonometry
Some applications of trigonometry
Word problems: one triangle involved
Word problems: two triangles involved
Circles
Tangents of circles problems
Areas related to circles
Arc length
Perimeter of shapes with arcs
Area of parts of circles
Word problems: Area of a sector
Area of a segment of a circle
Shaded areas
Area of combination of figures
Areas related to circles (basic)
Areas related to circles (intermediate)
Areas related to circles (advanced)
Unit test on Areas related to circles
Surface areas and volumes
Combination of solids (basic)
Area of combination of solids (intermediate)
Area of combination of solids (advanced)
Conversion of solids
Conversion of solids (advanced)
Finding dimensions of a frustum
Finding dimensions of a frustum using similar triangles
Area of frustum
Volume of frustum
Frustum (advanced)
Unit test on Surface areas and volumes
Statistics
Mean of grouped data
Mode of grouped data
Median of grouped data
Plotting ogives
Unit test on Statistics
Probability
Simple probability
Probabilities of compound events
Independent probability
Dependent probability
Adding probabilities
Unit test on Probability

Class 11

Exercise Name Khan Academy link
Sets
Basic set notation
Relations and functions
Cartesian product of sets
Identify sets from cartesian product
Relations
Domain of relations
Codomain and range of relations
Domain and range of relations (infinite sets)
Check whether the relation is a function
Recognize functions from graphs
Evaluate functions from their graph
Evaluate functions
Function inputs & outputs: graph
Function inputs & outputs: equation
Domain and range from graph
Identifying values in the domain
Determine the domain of functions
Range of functions
Range of quadratic functions
Evaluate step functions
Evaluate piecewise functions
Identify graphs of functions
Relations and functions: Unit test
Trigonometric functions
Radians & degrees
Trig values of special angles
Using the trig angle addition identities
Use the Pythagorean identity
Solve sinusoidal equations (basic)
Trigonometric functions: Unit test
Complex numbers
Powers of the imaginary unit
Simplify roots of negative numbers
Parts of complex numbers
Classify complex numbers
Plot numbers on the complex plane
Add & subtract complex numbers
Graphically add & subtract complex numbers
Multiply complex numbers (basic)
Multiply complex numbers
Complex number conjugates
Divide complex numbers
Absolute value of complex numbers
Angle of complex numbers
Complex numbers from absolute value & angle
Polar & rectangular forms of complex numbers
Complex numbers: Unit test
Linear inequalities
Testing solutions to inequalities
Plotting inequalities
Two-step inequalities
Multi-step linear inequalities
Inequalities word problems
Two-step inequality word problems
Graphs of inequalities
Two-variable inequalities from their graphs
Systems of inequalities graphs
Compound inequalities
Linear inequalities: Unit test
Permutations and combinations
The counting principle
Permutations
Combinations
Permutations & combinations
Permutations and combinations: Unit test
Binomial theorem
Expand binomials
Sequence and series
Summation notation intro
Recursive formulas for arithmetic sequences
Use arithmetic sequence formulas
Extend arithmetic sequences
Explicit formulas for arithmetic sequences
Arithmetic series
Extend geometric sequences
Extend geometric sequences: negatives & fractions
Use geometric sequence formulas
Explicit formulas for geometric sequences
Recursive formulas for geometric sequences
Geometric series formula
Finite geometric series
Sequences word problems
Finite geometric series word problems
Sequence and series: Unit test
Straight lines
Solutions to 2-variable equations
Complete solutions to 2-variable equations
Slope from graph
Graphing from slope
Slope in a table
Slope from two points
Horizontal & vertical lines
Intercepts from a graph
Intercepts from an equation
Intercepts from a table
Using slope and intercepts in context
Linear equations word problems: tables
Linear equations word problems: graphs
Graphing linear relationships word problems
Slope-intercept intro
Linear equations word problems
Graph from slope-intercept form
Slope-intercept equation from graph
Slope-intercept from two points
Relating linear contexts to graph features
Writing linear equations word problems
Point-slope form
Graph from linear standard form
Convert linear equations to standard form
Slope from equation
Linear equations in any form
Straight lines: Unit test
Conic sections
Graph a circle from its features
Features of a circle from its graph
Features of a circle from its standard equation
Graph a circle from its standard equation
Write standard equation of a circle
Features of a circle from its expanded equation
Graph a circle from its expanded equation
Graph & features of ellipses
Center & radii of ellipses from equation
Ellipse standard equation & graph
Foci of an ellipse from radii
Foci of an ellipse from equation
Equation of an ellipse from features
Equation of a parabola from focus & directrix
Vertices & direction of a hyperbola
Conic sections: Unit test
Introduction to three dimensional geometry
Coordinates of a point in space
Distance between two points
Distance between points: applications
Section formula
Section formula: applications
Introduction to three dimensional geometry: Unit test
Limits
Limits intro
Estimating limit values from graphs
One-sided limits from graphs
Connecting limits and graphical behavior
Creating tables for approximating limits
Estimating limits from tables
One-sided limits from tables
Limits of combined functions: sums and differences
Limits of combined functions: products and quotients
Limits of composite functions
Limits by direct substitution
Direct substitution with limits that don't exist
Limits of trigonometric functions
Limits of piecewise functions
Limits by factoring
Limits using conjugates
Limits using trig identities
Conclusions from direct substitution (finding limits)
Next steps after indeterminate form (finding limits)
Strategy in finding limits
Squeeze theorem
Limits: Unit test
Derivatives
Secant lines & average rate of change
Derivative as slope of curve
The derivative & tangent line equations
Derivative as a limit
Power rule (positive integer powers)
Power rule (negative & fractional powers)
Power rule (with rewriting the expression)
Basic derivative rules: find the error
Basic derivative rules: table
Differentiate polynomials
Differentiate integer powers (mixed positive and negative)
Differentiate products
Product rule with tables
Differentiate quotients
Quotient rule with tables
Differentiate rational functions
Derivatives of sin(x) and cos(x)
Derivatives of tan(x), cot(x), sec(x), and csc(x)
Derivatives: Unit test
Statistics
Mean, median, and mode
Standard deviation of a population
Mean absolute deviation (MAD)
Statistics: Unit test

Class 12

Exercise Name Khan Academy link
Relations and functions
Reflexive, symmetric and transitive relations (basic)
One-one and onto functions (visual)
Evaluate composite functions
Evaluate composite functions: graphs & tables
Find composite functions
Evaluate inverse functions
Finding inverses of linear functions
Verify inverse functions
Determine if a function is invertible
Restrict domains of functions to make them invertible
Unit test on Relations and functions
Inverse trigonometric functions
Evaluate inverse trig functions
Matrices
Matrix dimensions
Matrix elements
Add & subtract matrices
Matrix equations: addition & subtraction
Multiply matrices by scalars
Matrix equations: scalar multiplication
Multiply matrices
Matrix row operations
Determine inverse matrices
Determine invertible matrices
Unit test on Matrices
Determinants
Determinant of a 2x2 matrix
Determinant of a 3x3 matrix
Find the inverse of a 2x2 matrix
Inverse of a 3x3 matrix
Use matrices to represent systems of equations
Unit test on Determinants
Continuity & differentiability
Continuity at a point (graphical)
Limits of combined functions: products and quotients
Limits of composite functions
Continuity and common functions
Continuity challenge
Using the intermediate value theorem
Differentiability at a point: graphical
Differentiability at a point: algebraic
Derivatives basics challenge
Basic differentiation challenge
Power rule challenge
Common derivatives challenge
Differentiate products
Product rule with tables
Differentiate quotients
Quotient rule with tables
Differentiate composite functions (all function types)
Chain rule with tables
Product, quotient, & chain rules challenge
Differentiate rational functions
Differentiate radical functions
Derivatives of tan(x), cot(x), sec(x), and csc(x)
Differentiate trigonometric functions
Derivatives of aˣ and logₐx
Differentiate exponential functions
Logarithmic functions differentiation intro
Differentiate logarithmic functions
Differentiating using multiple rules
Tangents & normal lines challenge
Unit test on Continuity & differentiability
Advanced differentiation
Implicit differentiation
Derivatives of inverse functions
Disguised derivatives
Composite exponential function differentiation
Advanced differentiation challenge
Second derivatives
Using the mean value theorem
Unit test on Advanced differentiation
Playing with graphs (using differentiation)
Increasing & decreasing intervals
Relative minima & maxima
Absolute minima & maxima (closed intervals)
Absolute minima & maxima (entire domain)
Increasing/decreasing intervals & extremum points challenge
Concavity intro
Analyze concavity
Second derivative test
Inflection points intro
Find inflection points
Concavity & inflection points challenge
Unit test on Playing with graphs (using differentiation)
Applications of derivatives
Approximation with local linearity
Related rates intro
Related rates (multiple rates)
Related rates (Pythagorean theorem)
Related rates (advanced)
Tangents & normal lines challenge
Rates of change in other applied contexts (non-motion problems)
L'Hôpital's rule: 0/0
L'Hôpital's rule rule (composite exponential functions)
Derivative applications challenge
Unit test on Applications of derivatives
Indefinite Integrals
Antiderivatives and indefinite integrals
Reverse power rule
Reverse power rule: negative and fractional powers
Reverse power rule: sums & multiples
Indefinite integrals: eˣ & 1/x
Particular solutions to differential equations
Indefinite integrals: sin & cos
Integrating trig functions
Indefinite integrals & antiderivatives challenge
Integration by parts
𝘶-substitution: indefinite integrals
u-substitution challenge
Reverse chain rule
Integration with partial fractions
Integration using trigonometric identities
Trigonometric substitution
Unit test on Indefinite Integrals
Definite Integrals
Functions defined by definite integrals (accumulation functions)
Functions defined by integrals challenge
Finding derivative with fundamental theorem of calculus
Finding derivative with fundamental theorem of calculus: chain rule
Finding definite integrals using area formulas
Definite integral by thinking about the function's graph
Using multiple properties of definite integrals
Finding definite integrals using algebraic properties
Definite integral basics challenge
Definite integrals: reverse power rule
Definite integrals: common functions
Area using definite integrals
Definite integrals of piecewise functions
Integration by parts: definite integrals
𝘶-substitution: definite integrals
Improper integrals
Improper integrals challenge
Left & right Riemann sums
Riemann sums in summation notation
Midpoint & trapezoidal sums
Definite integral as the limit of a Riemann sum
Riemann sums challenge
Unit test on Definite Integrals
Application of integrals
Area between a curve and the x-axis
Area between two curves challenge
Area bounded by polar curves
Unit test on Application of integrals
Differential equations
Verify solutions to differential equations
Write differential equations
Particular solutions to separable differential equations
Unit test on Differential equations
Vector algebra
Vector addition: graphical
Vectors in component form: basics
Magnitude and direction of vectors (basic)
Magnitude and direction of vectors (advanced)
Dot product of two vectors
Projection of a vector on a line
Dot product of two vectors (advanced)
Cross product of two vectors
Cross product of two vectors (advanced)
Unit test on Vector algebra
Three dimensional geometry
Direction cosines and direction ratios of a line
Basics of equation of a line in space
Equation of a line: vector form
Equation of a line: cartesian form
Converting vector form into cartesian form and vice versa
Angle between two lines
Shortest distance between two lines
Basics of equation of a plane
Equation of a plane in normal form
Equation of a plane perpendicular to a given vector and passing through a given point
Equation of a plane passing through three non collinear points
Intercept form of the equation of a plane
Plane passing through the intersection of two given planes
Coplanarity of two lines
Angle between two planes
Distance of a point from a plane
Angle between a line and a plane
Intersection of line and plane
Planes (advanced)
Unit test on Three dimensional geometry
Probability
Calculating conditional probability
Dependent and independent events
Constructing probability distributions
Probability models
Probability with discrete random variables
Expected value
Mean (expected value) of a discrete random variable
Standard deviation of a discrete random variable
Identifying binomial variables
Binomial probability formula
Calculating binomial probability
Mean and standard deviation of a binomial random variable
Expected value
Expected value with empirical probabilities
Expected value with calculated probabilities
Making decisions with expected values
Unit test on Probability

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Kham Academy also has K12 Math videos for hindi-medium students
https://www.khanacademy.org/math/math-hindi