Humanities

Art history

1400-1500 Renaissance in Italy and the North

Florence

Math

7th grade (U.S.)

Fractions and decimals

Adding and subtracting fractions

Adding and subtracting rational numbers

Converting fractions to decimals

Multi-step word problems

Multiplying and dividing fractions

Percent word problems

Working with rational numbers

Geometry

Algebraically determining segment length

Angles

Angles and intersecting lines

Angle basics and measurement

Angles between intersecting and parallel lines

Angles with triangles and polygons

Sal's old angle videos

Angles between intersecting lines

Area and circumference of circles

Area, volume, and surface area

Congruent triangles

Congruence and isosceles and equilateral triangles

Congruence postulates

Constructing and slicing geometric shapes

Introduction to Euclidean geometry

Measuring segments

Perimeter, area and volume

Heron's formula

Koch snowflake fractal

Perimeter and area of non-standard shapes

Perimeter and area of triangles

Triangle inequality theorem

Pythagorean theorem proofs

Scale drawings

Special right triangles

The Pythagorean theorem

Triangle angles

Volume

Negative numbers

Absolute value

Adding and subtracting negative numbers

Multiplying and dividing negative numbers

Ratios, proportions and rates

Constructing proportions

Rates

Statistics and probability

Basic probability

Comparing and sampling populations

Compound events

Dependent probability

Estimating probability

Measures of central tendency

8th grade (U.S.)

Data and modeling

Estimating line of best fit

Patterns in data

Scatter plots

Numbers and operations

Computing with scientific notation

Orders of magnitude

Positive and negative exponents

Rational and irrational numbers

Scientific notation

Square roots and cube roots

Relationships and functions

Analyzing linear functions

Function notation

Graphing and analyzing proportional relationships

Intercepts of linear functions

Linear and nonlinear functions

Recognizing functions

Slope of a line

Triangle similarity and slope

Solving equations

Linear equations in one variable

Solutions to linear equations

Solving equations with distribution

Systems of equations

Solving linear systems graphically

Solving systems with elimination

System for solving the King's problems

Systems word problems

Algebra

Exponent expressions and equations

Exponent properties

Graphing and analyzing linear functions

Average rate of change

Constructing equations in slope-intercept form

Coordinate plane

Graphing linear equations in slope-intercept form

Graphing linear inequalities

Graphing solutions to equations

More analytic geometry

Point-slope form and standard form

Proportional relationships

Rates for proportional relationships

Slope

Triangle similarity and constant slope

x-intercepts and y-intercepts of linear functions

Introduction to algebra

Getting a feel for equations and inequalities

Manipulating expressions

Overview and history of algebra

Super Yoga plans

The why of algebra

Variables and expressions

Applying linear equations

Interpreting linear expressions

Order of operations

Two-step equations

Writing and interpreting expressions

Linear equations

Absolute value equations

Age word problems

Converting repeating decimals to fractions

Equations for beginners

Evaluating expressions with unknown variables

Linear equation word problems

More equation practice

More fancy equations for beginners

Old school equations with Sal

Simplifying complicated equations

Solving for a variable

Linear inequalities

Compound and absolute value inequalities

Structure in linear expressions

Thinking algebraically about inequalities

Multiplying and factoring expressions

Dividing polynomials

Factoring by grouping

Factoring quadratic expressions

Factoring quadratics in two variables

Factoring simple expressions

Factoring special products

Multiplying and dividing monomials

Multiplying binomials

Multiplying polynomials

Polynomial basics

Quadratic equations

Completing the square

Graphing quadratics

Quadratic inequalities

Quadratic odds and ends

Solving quadratics by factoring

The quadratic formula (quadratic equation)

Systems of equations and inequalities

A system for solving the King's problems

Non-linear systems of equations

Solving systems graphically

Solving systems with elimination (addition-elimination)

Solving systems with substitution

Super fast systems of equations

Systems of equations word problems

Systems of inequalities

Systems with three variables

Thinking about solutions to systems

Arithmetic and pre-algebra

Addition and subtraction

Addition and subtraction word problems

Addition with carrying

Intro to addition and subtraction

Subtraction with borrowing (regrouping)

Two digit addition and subtraction

Applying mathematical reasoning

Constructing numeric expressions

Inequalties : Greater than and less than basics

Number patterns

Reading and interpreting data

Arithmetic properties

Counting

Place value

Regrouping whole numbers

Rounding whole numbers

The distributive property

Understanding whole number representations

Decimals

Adding and subtracting decimals

Comparing decimals

Conceptualizing decimals and place notation

Converting between fractions and decimals

Decimals on a number line

Dividing decimals

Estimating and rounding with decimals

Intro to percentages

Moving the decimal to multiply and divide by 10

Multiplying decimals

Regrouping decimals

Significant figures

Exponents, radicals, and scientific notation

Negative and fractional exponents

The cube root

The square root

The world of exponents

Factors and multiples

Divisibility and factors

Divisibility tests

Greatest common divisor

Least common multiple

Prime factorization

Prime numbers

Fractions

Adding and subtracting fractions word problems

Comparing fractions

Decimals and fractions

Decomposing fractions

Dividing fractions

Equivalent fractions and simplified form

Mixed number addition and subtraction

Mixed number multiplication and division

Mixed numbers and improper fractions

Multiplying fractions

Multiplying fractions word problems

Number sets

Understanding fractions

Visualizing equivalent fractions

Measurement

Area basics

Perimeter

Rectangle area and perimeter word problems

Volume of a box or rectangular prism

Multiplication and division

Area models and multiplication

Basic multiplication

Concept of multiplication and division

Fancy multiplication and division word problems

Lattice multiplication

Loooong division!

Multi-digit multiplication

One-digit division

Partial quotient division

Starter multiplication and division word problems

Negative numbers and absolute value

Negative number basics

Ratios, proportions, units and rates

Farenheit and Celsius conversion

Metric system unit conversion

Ratios and proportions

Unit conversion

Telling time

New and noteworthy

Science

Chemistry

Chemical reactions (stoichiometry)

Talks and interviews

Khan Academy and beyond

Newest

Intuition why we divide both sides

Conceptual understanding of why one needs to divide both sides of an equation to solve for a variable

Khan Academy
The why of algebra
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