This course covers the fundamentals of 8th Grade math, which includes extending extending our knowledge of exponents to negative exponents and exponent properties and our knowledge of the number system to irrational numbers. We will also tackle the meat of algebra and examine some of the foundational concepts of geometry All lectures, assignments, and videos come from Khan Academy. Content was selected for this grade level based on a typical curriculum in the United States.

### Numbers and Operations (8...

This unit contains information from Khan Academy on Numbers and Operations, including: rational and irrational numbers, positive and negative exponents, exponent properties, square roots and cube roots, orders of magnitude, and scientific notation.

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Converting a fraction to a repeating decimal

# Converting a fraction to a repeating decimal

Converting repeating decimals to fractions (part 1...

# Converting repeating decimals to fractions (part 1 of 2)

Converting repeating decimals to fractions (part 2...

# Converting repeating decimals to fractions (part 2 of 2)

Classifying numbers: rational & irrational

# Classifying numbers: rational & irrational

Worked example: Cube root of a negative number

# Worked example: Cube root of a negative number

Scientific notation example: 0.0000000003457

# Scientific notation example: 0.0000000003457

Multiplying in scientific notation example

# Multiplying in scientific notation example

Multiplying three numbers in scientific notation (...

# Multiplying three numbers in scientific notation (example)

Scientific notation word problem: speed of light

# Scientific notation word problem: speed of light

Scientific notation word problem: U.S. national de...

# Scientific notation word problem: U.S. national debt

Multiplying and dividing in scientific notation

# Multiplying and dividing in scientific notation

Simplifying in scientific notation challenge

# Simplifying in scientific notation challenge

Scientific notation word problem: red blood cells

# Scientific notation word problem: red blood cells

Comparing irrational numbers with radicals

# Comparing irrational numbers with radicals

Comparing values with calculator (decimals and squ...

# Comparing values with calculator (decimals and square roots)

### Solving Equations with On...

This unit includes information on linear equations in one variable, solving equations with distribution, solutions to linear equations, and linear equation word problems. Learn how to solve more complicated, multi-step equations like 4x + 5 = 6x -7.

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Equation practice with complementary angles

# Equation practice with complementary angles

Intro to equations with variables on both sides

# Intro to equations with variables on both sides

How to solve an equation with variables on both si...

# How to solve an equation with variables on both sides (20 - 7y = 6y - 6)

Equations with variables on both sides: 20-7x=6x-6

# Equations with variables on both sides: 20-7x=6x-6

Worked example: number of solutions to equations

# Worked example: number of solutions to equations

Equation with the variable in the denominator

# Equation with the variable in the denominator

How to solve an equation using the distributive pr...

# How to solve an equation using the distributive property

A clever application of the distributive property ...

# A clever application of the distributive property to solve a multi-step equation

Creating an equation with infinitely many solution...

# Creating an equation with infinitely many solutions

### Linear equations and func...

Linear equations like y = 2x + 7 are called "linear" because they make a straight line when we graph them. These tutorials introduce you to linear relationships, their graphs, and functions.

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Rates & proportional relationships example

# Rates & proportional relationships example

Rates & proportional relationships: gas mileage

# Rates & proportional relationships: gas mileage

Graphing proportional relationships: unit rate

# Graphing proportional relationships: unit rate

Graphing proportional relationships from a table

# Graphing proportional relationships from a table

Graphing proportional relationships from an equati...

# Graphing proportional relationships from an equation

Similar triangles to prove that the slope is const...

# Similar triangles to prove that the slope is constant for a line

How to evaluate a function given its formula (exam...

# How to evaluate a function given its formula (example)

Recognizing functions from verbal descriptions

# Recognizing functions from verbal descriptions

Does a vertical line represent a function?

# Does a vertical line represent a function?

Checking if an equation represents a function

# Checking if an equation represents a function

Recognizing functions from verbal description word...

# Recognizing functions from verbal description word problem

Comparing linear functions: equation vs. graph

# Comparing linear functions: equation vs. graph

Comparing linear functions word problem: climb

# Comparing linear functions word problem: climb

Comparing linear functions word problem: walk

# Comparing linear functions word problem: walk

Comparing linear functions word problem: work

# Comparing linear functions word problem: work

Worked example: intercepts from an equation

# Worked example: intercepts from an equation

Slope-intercept equation from slope and point

# Slope-intercept equation from slope and point

Worked example: evaluating functions from graph

# Worked example: evaluating functions from graph

Comparing linear functions: table vs. graph (1)

# Comparing linear functions: table vs. graph (1)

Comparing linear functions: table vs. graph (2)

# Comparing linear functions: table vs. graph (2)

Modeling with linear equations: gym membership & l...

# Modeling with linear equations: gym membership & lemonade

Linear & nonlinear functions: word problem

# Linear & nonlinear functions: word problem

Linear & nonlinear functions: missing value

# Linear & nonlinear functions: missing value

### Systems of Equations (8th...

This unit contains information from Khan Academy on systems of equations, including: solving linear systems graphically, solving systems with substitution, solving systems with elimination, solutions to systems, and systems word problems. A "system of equations" is when we're dealing with more than one equation at the same time. These tutorials show you how to set up and solve systems of equations.

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Number of solutions to a system of equations

# Number of solutions to a system of equations

Systems of equations with substitution: y=-1/4x+10...

# Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120

Systems of equations number of solutions: y=3x+1 &...

# Systems of equations number of solutions: y=3x+1 & 2y+4=6x

Systems of equations with elimination: King's cupc...

# Systems of equations with elimination: King's cupcakes

Systems of equations: trolls, tolls (2 of 2)

# Systems of equations: trolls, tolls (2 of 2)

How to solve a system of linear equations graphica...

# How to solve a system of linear equations graphically (example)

How many bags of potato chips do people eat?

# How many bags of potato chips do people eat?

Systems of equations with elimination: x-4y=-18 & ...

# Systems of equations with elimination: x-4y=-18 & -x+3y=11

Systems of equations with substitution: potato chi...

# Systems of equations with substitution: potato chips

How to solve a system of linear equations with sub...

# How to solve a system of linear equations with substitution (example)

Testing a solution to a system of equations

# Testing a solution to a system of equations

Systems of equations with graphing: 5x+3y=7 & 3x-2...

# Systems of equations with graphing: 5x+3y=7 & 3x-2y=8

Systems of equations with graphing: chores

# Systems of equations with graphing: chores

Systems of equations with substitution: y=4x-17.5 ...

# Systems of equations with substitution: y=4x-17.5 & y+2x=6.5

Systems of equations with substitution: 9x+3y=15 &...

# Systems of equations with substitution: 9x+3y=15 & y-x=5

Systems of equations with substitution: 2y=x+7 & x...

# Systems of equations with substitution: 2y=x+7 & x=y-4

Systems of equations with substitution: y=-5x+8 & ...

# Systems of equations with substitution: y=-5x+8 & 10x+2y=-2

Systems of equations with substitution: coins

# Systems of equations with substitution: coins

How to solve a system of linear equations with sub...

# How to solve a system of linear equations with substitution (example)

Systems of equations word problems example: Weight...

# Systems of equations word problems example: Weight of TV and DVD

Systems of equations with elimination: 3t+4g=6 & -...

# Systems of equations with elimination: 3t+4g=6 & -6t+g=6

Systems of equations with elimination: x+2y=6 & 4x...

# Systems of equations with elimination: x+2y=6 & 4x-2y=14

Systems of equations with elimination: -3y+4x=11 &...

# Systems of equations with elimination: -3y+4x=11 & y+2x=13

Systems of equations with elimination: 2x-y=14 & -...

# Systems of equations with elimination: 2x-y=14 & -6x+3y=-42

Systems of equations with elimination: Sum/differe...

# Systems of equations with elimination: Sum/difference of numbers

Systems of equations with elimination: 4x-2y=5 & 2...

# Systems of equations with elimination: 4x-2y=5 & 2x-y=2.5

Systems of equations with elimination: 6x-6y=-24 &...

# Systems of equations with elimination: 6x-6y=-24 & -5x-5y=-60

Systems of equations number of solutions: fruit pr...

# Systems of equations number of solutions: fruit prices (1 of 2)

Systems of equations number of solutions: fruit pr...

# Systems of equations number of solutions: fruit prices (2 of 2)

Solutions to systems of equations: consistent vs. ...

# Solutions to systems of equations: consistent vs. inconsistent

Solutions to systems of equations: dependent vs. i...

# Solutions to systems of equations: dependent vs. independent

Number of solutions to a system of equations graph...

# Number of solutions to a system of equations graphically

Forming systems of equations with different number...

# Forming systems of equations with different numbers of solutions

Systems of equations with elimination: apples and ...

# Systems of equations with elimination: apples and oranges

Linear systems word problem with substitution

# Linear systems word problem with substitution

Systems of equations word problems example: Price ...

# Systems of equations word problems example: Price of coffee and croissant

How many solutions does a system of linear equatio...

# How many solutions does a system of linear equations have if there are at least two?

How to solve a system of linear equations graphica...

# How to solve a system of linear equations graphically (example)

### Geometry (8th Grade)

This unit examines geometry, with specific attention given to: angles between intersecting lines, triangle angles, the Pythagorean Theorem, Pythagorean theorem proofs, volume, transformations, congruence, and similarity.

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Measures of angles formed by a transversal

# Measures of angles formed by a transversal

Worked example: Triangle angles (intersecting line...

# Worked example: Triangle angles (intersecting lines)

Pythagorean theorem word problem: fishing boat

# Pythagorean theorem word problem: fishing boat

Thiago asks: How much time does a goalkeeper have ...

# Thiago asks: How much time does a goalkeeper have to react to a penalty kick?

Garfield's proof of the Pythagorean theorem

# Garfield's proof of the Pythagorean theorem

Bhaskara's proof of the Pythagorean theorem

# Bhaskara's proof of the Pythagorean theorem

Pythagorean theorem proof using similarity

# Pythagorean theorem proof using similarity

How to determine whether two figures are similar (...

# How to determine whether two figures are similar (example)

### Data and Modeling (8th Gr...

This unit contains information from Khan Academy on Data and Modeling. Areas of focus include: estimating the line of best fit, scatter plots, patterns in data, and two-way tables.

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