8th grade Math | 1 Big School (By Blue Brain)

Course Content

Numbers and operations

Repeating decimals
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)
Square roots & cube roots
Intro to square roots
Intro to cube roots
Worked example: Cube root of a negative number
Square root of decimal
Dimensions of a cube from its volume
Irrational numbers
Intro to rational & irrational numbers
Classifying numbers: rational & irrational
Classifying numbers
Worked example: classifying numbers
Approximating irrational numbers
Approximating square roots
Comparing irrational numbers with radicals
Approximating square roots to hundredths
Comparing values with calculator
Exponents with negative bases
Exponents with negative bases
The 0 & 1st power
Even & odd numbers of negatives
1 and -1 to different powers
Sign of expressions challenge problems
Powers of zero
Exponent properties intro
Exponent properties with products
Exponent properties with parentheses
Exponent properties with quotients
Negative exponents
Negative exponents
Negative exponent intuition
Exponent properties (integer exponents)
Multiplying & dividing powers (integer exponents)
Powers of products & quotients (integer exponents)
Powers of zero
Working with powers of 10
Multiplying multiples of powers of 10
Approximating with powers of 10
Scientific notation intro
Scientific notation example: 0.0000000003457
Scientific notation examples
Arithmetic with numbers in scientific notation
Multiplying & dividing in scientific notation
Multiplying three numbers in scientific notation
Subtracting in scientific notation
Simplifying in scientific notation challenge
Scientific notation word problems
Scientific notation word problem: red blood cells
Scientific notation word problem: U.S. national debt
Scientific notation word problem: speed of light

Solving equations with one unknown

Equations with variables on both sides
Intro to equations with variables on both sides
Equations with variables on both sides: 20-7x=6x-6
Equation with variables on both sides: fractions
Equation with the variable in the denominator
Equations with parentheses
Equations with parentheses
Worked example: number of solutions to equations
Creating an equation with no solutions
Creating an equation with infinitely many solutions
Number of solutions to equations
Number of solutions to equations
Equations word problems
Sums of consecutive integers
Sum of integers challenge
Graphing proportional relationships
Rates & proportional relationships: gas mileage
Graphing proportional relationships: unit rate
Graphing proportional relationships from a table
Graphing proportional relationships from an equation
Rates & proportional relationships example

Linear equations and functions

Solutions to linear equations
Intro to the coordinate plane
Solutions to 2-variable equations
Worked example: solutions to 2-variable equations
Completing solutions to 2-variable equations
Intercepts
Intro to intercepts
x-intercept of a line
Intercepts from an equation
Intercepts from a table
Worked example: intercepts from an equation
Slope
Intro to slope
Slope & direction of a line
Positive & negative slope
Worked example: slope from graph
Slope of a line: negative slope
Worked example: slope from two points
Slope from equation
Converting to slope-intercept form
Slope of a horizontal line
Intro to slope-intercept form
Intro to slope-intercept form
Worked examples: slope-intercept intro
Graphing slope-intercept form
Graph from slope-intercept equation
Writing slope-intercept equations
Slope-intercept equation from graph
Slope-intercept equation from slope & point
Slope-intercept equation from two points
Slope-intercept form problems
Slope-intercept form from a table
Functions
What is a function?
Worked example: Evaluating functions from equation
Function notation example
Worked example: Evaluating functions from graph
Equations vs. functions
Manipulating formulas: temperature
Obtaining a function from an equation
Linear models
Linear graphs word problems
Linear graphs word problem: cats
Linear equations word problems: volcano
Linear equations word problems: earnings
Modeling with linear equations: snow
Linear function example: spending money
Fitting a line to data
Comparing linear functions
Comparing linear functions: equation vs. graph
Comparing linear functions: table vs. graph
Comparing linear functions: table vs. graph
Comparing linear functions word problem: climb
Comparing linear functions word problem: walk
Comparing linear functions word problem: work
Linear functions word problem: fuel
Linear functions word problem: pool
Modeling with linear equations: gym membership & lemonade
Linear functions word problem: iceberg
Linear functions word problem: paint
Constructing linear models for real-world relationships
Recognizing functions
Testing if a relationship is a function
Relations and functions
Recognizing functions from graph
Checking if a table represents a function
Recognizing functions from table
Checking if an equation represents a function
Does a vertical line represent a function?
Recognizing functions from verbal description
Recognizing functions from verbal description word problem
Linear and nonlinear functions
Recognizing linear functions
Linear & nonlinear functions: table
Linear & nonlinear functions: word problem
Linear & nonlinear functions: missing value
Interpreting a graph example
Intro to systems of equations
Systems of equations: trolls, tolls (1 of 2)
Systems of equations: trolls, tolls (2 of 2)
Testing a solution to a system of equations
Systems of equations with graphing
Systems of equations with graphing
Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
Systems of equations with graphing: 5x+3y=7 & 3x-2y=8
Systems of equations with graphing: chores
Systems of equations with graphing: exact & approximate solutions

Systems of equations

Solving systems with substitution
Systems of equations with substitution: 2y=x+7 & x=y-4
Systems of equations with substitution: y=4x-17.5 & y+2x=6.5
Systems of equations with substitution: -3x-4y=-2 & y=2x-5
Systems of equations with substitution: 9x+3y=15 & y-x=5
Systems of equations with substitution: y=-5x+8 & 10x+2y=-2
Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120
Number of solutions to systems of equations
Systems of equations number of solutions: fruit prices (1 of 2)
Systems of equations number of solutions: fruit prices (2 of 2)
Solutions to systems of equations: dependent vs. independent
Number of solutions to a system of equations
Number of solutions to a system of equations graphically
Number of solutions to a system of equations algebraically
How many solutions does a system of linear equations have if there are at least two?
Systems of equations word problems
Age word problem: Imran
Age word problem: Ben & William
Age word problem: Arman & Diya
System of equations word problem: walk & ride
System of equations word problem: no solution
System of equations word problem: infinite solutions
Systems of equations with substitution: coins
Angles between intersecting lines
Angles, parallel lines, & transversals
Parallel & perpendicular lines
Missing angles with a transversal
Measures of angles formed by a transversal
Triangle angles
Angles in a triangle sum to 180° proof
Isosceles & equilateral triangles problems
Triangle exterior angle example
Worked example: Triangle angles (intersecting lines)
Worked example: Triangle angles (diagram)
Triangle angle challenge problem
Triangle angle challenge problem 2
Intro to the Pythagorean theorem
Pythagorean theorem example
Pythagorean theorem with isosceles triangle
Pythagorean theorem

Geometry

Pythagorean theorem application
Use Pythagorean theorem to find area of an isosceles triangle
Pythagorean theorem word problem: carpet
Pythagorean theorem word problem: fishing boat
Pythagorean theorem in 3D
Pythagorean theorem and distance between points
Pythagorean theorem and distance between points
Pythagorean theorem proofs
Garfield’s proof of the Pythagorean theorem
Bhaskara’s proof of the Pythagorean theorem
Pythagorean theorem proof using similarity
Another Pythagorean theorem proof
Volume
Cylinder volume & surface area
Volume of a sphere
Volume of a cone
Transformations intro
Rigid transformations intro
Dilations intro
Identifying transformations
Translations
Translating points
Translating shapes
Determining translations
Rotations
Rotating points
Determining rotations
Reflections
Reflecting points
Reflecting shapes
Determining reflections

Geometric transformations

Properties & definitions of transformations
Finding measures using rigid transformations
Rigid transformations: preserved properties
Mapping shapes
Dilations
Dilating points
Dilations: scale factor
Dilating shapes: expanding
Dilating shapes: shrinking by 1/2
Dilations and properties
Congruence and similarity
Congruent shapes & transformations
Non-congruent shapes & transformations
Similar shapes & transformations
Side lengths after dilation
Introduction to scatter plots
Constructing a scatter plot
Interpreting scatter plots
Example of direction in scatterplots
Scatter plot: smokers
Estimating lines of best fit
Estimating the line of best fit exercise
Line of best fit: smoking in 1945
Estimating with linear regression (linear models)
Interpreting a trend line
Two-way tables
Two-way frequency tables and Venn diagrams
Two-way relative frequency tables
Interpreting two-way tables

Student Ratings & Reviews

No Review Yet

Course Content

Numbers and operations

Repeating decimals

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)

Square roots & cube roots

Intro to square roots

Intro to cube roots

Worked example: Cube root of a negative number

Square root of decimal

Dimensions of a cube from its volume

Irrational numbers

Intro to rational & irrational numbers

Classifying numbers: rational & irrational

Classifying numbers

Worked example: classifying numbers

Approximating irrational numbers

Approximating square roots

Comparing irrational numbers with radicals

Approximating square roots to hundredths

Comparing values with calculator

Exponents with negative bases

Exponents with negative bases

The 0 & 1st power

Even & odd numbers of negatives

1 and -1 to different powers

Sign of expressions challenge problems

Powers of zero

Exponent properties intro

Exponent properties with products

Exponent properties with parentheses

Exponent properties with quotients

Negative exponents

Negative exponents

Negative exponent intuition

Exponent properties (integer exponents)

Multiplying & dividing powers (integer exponents)

Powers of products & quotients (integer exponents)

Powers of zero

Working with powers of 10

Multiplying multiples of powers of 10

Approximating with powers of 10

Scientific notation intro

Scientific notation example: 0.0000000003457

Scientific notation examples

Arithmetic with numbers in scientific notation

Multiplying & dividing in scientific notation

Multiplying three numbers in scientific notation

Subtracting in scientific notation

Simplifying in scientific notation challenge

Scientific notation word problems

Scientific notation word problem: red blood cells

Scientific notation word problem: U.S. national debt

Scientific notation word problem: speed of light

Solving equations with one unknown

Equations with variables on both sides

Intro to equations with variables on both sides

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

Equation with variables on both sides: fractions

Equation with the variable in the denominator

Equations with parentheses

Equations with parentheses

Worked example: number of solutions to equations

Creating an equation with no solutions

Creating an equation with infinitely many solutions

Number of solutions to equations

Number of solutions to equations

Equations word problems

Sums of consecutive integers

Sum of integers challenge

Graphing proportional relationships

Rates & proportional relationships: gas mileage

Graphing proportional relationships: unit rate

Graphing proportional relationships from a table

Graphing proportional relationships from an equation

Rates & proportional relationships example

Linear equations and functions

Solutions to linear equations

Intro to the coordinate plane