Mathematics
MTH3861 ccs
8th Grade Math (Khan Academy)

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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Approximating square roots to hundredths

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Powers of zero

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Intro to rational & irrational numbers

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Converting a fraction to a repeating decimal

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Assessment: Writing fractions as repeating decimal...

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Converting repeating decimals to fractions (part 1...

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Converting repeating decimals to fractions -Practi...

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Converting repeating decimals to fractions (part 2...

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Converting multi-digit repeating decimals to fract...

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Classifying numbers: rational & irrational

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Assessment: Classify numbers: rational & irrationa...

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Negative exponents

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Negative Exponent Intuition

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Exponent properties with products

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Exponent properties with quotients

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Multiply & divide powers (integer exponents) - Pra...

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Square roots - Practice

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Worked example: Cube root of a negative number

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Cube roots - Interactive Practice

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Scientific notation examples - 1

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Scientific notation example: 0.0000000003457

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Multiplying in scientific notation example

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Assessment: Scientific notation

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Multiplying three numbers in scientific notation (...

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Scientific notation word problem: speed of light

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

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Multiplying and dividing in scientific notation

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Assessment: Multiplying & dividing in scientific n...

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Simplifying in scientific notation challenge

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Scientific notation word problem: red blood cells

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Assessment: Scientific notation word problems

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Intro to square roots

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Intro to cube roots

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Equations with square roots and cube roots - inter...

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Square root of decimal

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Roots of decimals and fractions - interactive prac...

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Dimensions of a cube from its volume

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Square and cube challenge - interactive practice

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Classifying numbers

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Classify numbers - interactive practice

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Approximating square roots

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Approximating square roots - interactive practice

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Comparing irrational numbers with radicals

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Comparing irrational numbers - interactive practic...

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Comparing values with calculator (decimals and squ...

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Comparing irrational numbers with a calculator - i...

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Negative exponents - interactive practice

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Properties of exponents challenge (integer exponen...

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Exponent properties with parentheses

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Multiplying multiples of powers of 10

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Multiplication and division with powers of ten - i...

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Approximating with powers of 10

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Approximating with powers of 10 - interactive prac...

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Subtracting in scientific notation

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Adding and subtracting in scientific notation - in...

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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Ex 2: Distributive property to simplify

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Ex 3: Distributive property to simplify

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Equation practice with complementary angles

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Find Measure of Vertical Angles

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Intro to equations with variables on both sides

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

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

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Equations with variables on both sides - Interacti...

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Worked example: number of solutions to equations

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Equation with the variable in the denominator

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

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A clever application of the distributive property ...

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Ex 1: Distributive property to simplify

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Equations with parentheses - Practice

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Number of solutions to equations

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Creating an equation with no solutions

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Creating an equation with infinitely many solution...

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Number of solutions to equations - Practice

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Sums of consecutive integers

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Sums of Consecutive Integers

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Age Word Problem: Arman & Diya

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Age word problem: Imran

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Age word problem: Ben & William

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Age word problems

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Linear equation using segment

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Assessment: Equation practice with segment additio...

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Equation practice with midpoints

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Assessment: Equation practice with midpoints

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Equation practice with vertical angles - interacti...

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Find measure of supplementary angles

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Equation practice with angle addition - Interactiv...

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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Graphing a linear equation: y=2x+7

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Slope-intercept form problems

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Converting to Slope-Intercept Form

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Slope-intercept equation from graph

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Graph from slope-intercept equation

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Manipulating formulas: temperature

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Intro to the coordinate plane

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Points on the coordinate plane examples

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Rates & proportional relationships example

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Rates & proportional relationships: gas mileage

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Rates and proportional relationships

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Graphing proportional relationships: unit rate

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Graphing proportional relationships from a table

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Graphing proportional relationships from an equati...

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Graphing proportional relationships

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x-intercept of a line

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Intercepts from a table

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Worked example: slope from graph

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Worked example: slope from two points

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Slope of a line: negative slope

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Slope of a horizontal line

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Linear equations word problems: earnings

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

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What is a function?

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Equations vs. functions

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

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Evaluate Functions - Interactive Practice

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Testing if a relationship is a function

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Relations and functions

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Recognizing functions from graphs

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Recognizing functions from tables

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Recognizing functions from verbal descriptions

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Does a vertical line represent a function?

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Checking if a table represents a function

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Checking if an equation represents a function

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Recognize functions from tables - interactive prac...

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Recognizing functions from verbal description word...

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Functions as graphs

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Comparing linear functions: equation vs. graph

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Assessment: Compare linear functions

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Linear graphs word problem: cats

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Linear equations word problems: volcano

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Assessment: Linear equations word problems

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Comparing linear functions word problem: climb

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Comparing linear functions word problem: walk

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Comparing linear functions word problem: work

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Assessment: Comparing linear functions word proble...

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Recognizing linear functions

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Assessment: Linear and nonlinear functions

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Interpreting a graph example

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Assessment: Interpreting graphs of functions

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Fitting a Line to Data

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Testing solutions to linear equations

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Solutions to 2-variable equations - interactive pr...

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Graphing a linear equation: 5x+2y=20

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Complete solutions to 2-variable equations - inter...

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intercepts from a graph - interactive practice

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Intercepts from an equation: -5x+4y=20

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Worked example: intercepts from an equation

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Intercepts from an equation - interactive practice

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Slope & direction of a line

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Slope from graph - interactive practice

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Slope from two points - interactive practice

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Slope-intercept intro - interactive practice

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Slope from equations - interactive practice

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Graph from slope-intercept form - interactive prac...

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Slope-intercept equation from slope and point

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Slope-intercept equation from two points

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Slope intercept form from table

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Slope-intercept from two points - interactive prac...

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Worked example: evaluating functions from graph

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Function notation in context example

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Function rules from equations - interactive practi...

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Comparing linear functions: table vs. graph (1)

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Comparing linear functions: table vs. graph (2)

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Generating input-output pairs of a function

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Linear graphs word problems

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Modeling with linear equations: snow

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Linear equations word problems: graphs - interacti...

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Linear function example: spending money

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

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Graphing linear functions word problems - interact...

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Writing linear functions word problems - interacti...

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Recognize functions from graphs - interactive prac...

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Linear & nonlinear functions: table

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Linear & nonlinear functions: word problem

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Linear & nonlinear functions: missing value

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Slope-intercept equation from graph - Practice

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

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

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

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

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

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

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Systems of equations with graphing - Practice

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How many bags of potato chips do people eat?

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

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Systems with elimination practice

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Systems of equations with substitution: potato chi...

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

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Solve any system of two linear equations

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Systems of equations with graphing

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Testing a solution to a system of equations

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

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Systems of equations with graphing: chores

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Solve systems of equations graphically

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

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

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

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

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Systems of equations with substitution: coins

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

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Systems of equations word problems example: Weight...

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

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

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

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

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

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

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

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

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

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

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

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

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

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Forming systems of equations with different number...

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Assessment: Number of solutions to a system of equ...

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Systems of equations with elimination: apples and ...

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Linear systems word problem with substitution

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Systems of equations word problems example: Price ...

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

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Assessment: Systems of equations word problems

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Systems of equations with elimination - interactiv...

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Solve systems of linear equations with elimination...

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Solving systems of linear equations with substitut...

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

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Systems of equations with substitution - interacti...

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Solving systems of linear equations with eliminati...

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Systems of equations with elimination challenge

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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Intro to the Pythagorean theorem

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Parallel and Perpendicular Lines

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Angles, parallel lines, & transversals

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Missing angles with a transversal

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Assessment: Angle relationships with parallel line...

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Measures of angles formed by a transversal

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Assessment: Equation practice with angles

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Triangle exterior angle example

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Worked example: Triangle angles (intersecting line...

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Worked example: Triangle angles (diagram)

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Triangle angle challenge problem

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Triangle angle challenge problem 2

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Assessment: Finding angle measures between interse...

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Assessment: Angles 2

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Intro to the Pythagorean theorem 2

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Pythagorean theorem word problem: fishing boat

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Pythagorean theorem example

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Pythagorean theorem word problem: carpet

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Assessment: Use Pythagorean theorem to find right ...

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Distance formula

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Assessment: Distance between two points

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

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Garfield's proof of the Pythagorean theorem

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Bhaskara's proof of the Pythagorean theorem

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Pythagorean theorem proof using similarity

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Another Pythagorean theorem proof

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Cylinder volume & surface area

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Volume of a sphere

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Volume of a cone

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Assessment: Solid geometry word problems

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Dilating shapes: shrinking

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Angles in a triangle sum to 180° proof

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Pythagorean theorem challenge - interactive practi...

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Pythagorean theorem in 3D

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Pythagorean theorem in 3D - interactive practice

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Rigid transformations intro

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Performing translations

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Translate points - interactive practice

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Performing rotations

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Rotate points - interactive practice

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Performing reflections

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Reflect points - interactive practice

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Congruent shapes & transformations

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Congruence & transformations - interactive practic...

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

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Similarity & transformations - interactive practic...

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Side lengths after dilation

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Non-congruent shapes & transformations

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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Estimating the line of best fit exercise

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Assessment: Eyeballing the line of best fit

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Scatter plots: studying, shoe size, and test score...

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Scatter plot: smokers

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Assessment: Describing Trends in Scatter Plots

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Constructing a scatter plot

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Assessment: Constructing scatter plots

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Line of best fit: smoking in 1945

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Interpreting a trend line

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Assessment: Estimating slope of line of best fit

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Categorical data example

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Assessment: Interpreting two-way tables - interact...

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Two-way frequency tables and Venn diagrams

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Two-way frequency tables - interactive practice

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Two-way relative frequency tables

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Two-way relative frequency tables - interactive pr...

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Interpreting two-way tables

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Making Good Scatter Plots - Interactive Practice

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Positive and negative linear correlations from sca...

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Outliers in Scatter Plots - Tutorial

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Clusters in Scatter Plots - Tutorial

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Estimating equations of lines of best fit, and usi...

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Interpreting slope and y-intercept for linear mode...