Algebra 2 Math Toolbox
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Some skills were taught in previous math classes that are necessary to succeed in this math class.
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Addition without a calculator
 Adding 2 digit numbers: https://www.khanacademy.org/math/arithmetic/additionsubtraction/two_dig_add_sub/v/addingwholenumbersandapplications1
 Adding 3 Digit: https://www.khanacademy.org/math/arithmetic/additionsubtraction/addition_carrying/v/carryingwhenaddingthreedigitnumbers
 Adding decimal numbers: https://www.khanacademy.org/math/prealgebra/decimalsprealg/addingdecimalsprealg/v/addingdecimals
 Adding numbers with different signs: https://www.khanacademy.org/math/prealgebra/negativesabsolutevalueprealg/addsubtractnegativesprealg/v/addingintegerswithdifferentsigns
Subtraction without a calculator
 How to subtract (basic): https://www.khanacademy.org/math/arithmetic/additionsubtraction/basic_addition/v/basicsubtraction
 Subtracting 3 digit numbers: https://www.khanacademy.org/math/arithmetic/additionsubtraction/subborrowing/v/regroupingwhensubtractingthreedigitnumbers
 Subtracting decimal numbers: https://www.khanacademy.org/math/prealgebra/decimalsprealg/addingdecimalsprealg/v/subtractingdecimalsuptohundredths
 Subtracting integers: https://www.khanacademy.org/math/algebrabasics/corealgebrafoundations/corealgebrafoundationsnegativenumbers/v/addingandsubtractingnegativenumberexamples
Multiplying without a calculator
 Multiplication basic: https://www.khanacademy.org/math/arithmetic/multiplicationdivision/multiplication_fun/v/basicmultiplication
 Multiplication table up to 9: https://www.khanacademy.org/math/arithmetic/multiplicationdivision/multiplication_fun/v/multiplication2themultiplicationtables
 Multiplying with decimals: https://www.khanacademy.org/math/prealgebra/decimalsprealg/multiplyingdecimalsprealg/v/multiplyingdecimals
 Multiplying integers: https://www.khanacademy.org/math/algebrabasics/corealgebrafoundations/corealgebrafoundationsnegativenumbers/v/multiplyingpositiveandnegativenumbers
 unusual multiplication method. So cool!: https://www.youtube.com/watch?v=0SZw8jpfAk0 ; https://www.youtube.com/watch?v=JTKxvVLWJDQ&feature=iv&src_vid=uXLDVx_rO_s&annotation_id=annotation_484269
Adding and subtracting fractions Adding fraction is easy when they have the same denominator......when they have different denominators? Not so much :) Here is a link to several videos to help you refresh your memory about fractions.  Multiplying fractions There is a difference between multiplying fractions by whole numbers and multiplying 2 fractions. See the video linked below for examples of each.  Dividing by fractions When dividing by a fraction, be careful. If you forget to "flip then multiply" then you did it wrong. See the link below for video examples and practice problems. 
Adding and subtracting fractions
Multiplying fractions
Dividing by fractions
Combining Like terms  Solving one step equations  Learn about solving equations This link has several video with practice problems. There are videos starting with easy level and increasing to multistep level.https://www.khanacademy.org/math/algebrabasics/corealgebralinearequationsinequalities/corealgebrasolvingbasicequations/v/onestepequations 
Learn about solving equations
Solving 1 step equations with fractions Here are links for examples worked involving fractions and simple equations. The first link is for equation solved using addition and subtraction while the second & third are for examples solved using multiplication or division.
 Percent word problems Here are examples for linear % problems. Do not get them confused with our exponential % problems. 2. Medium level: https://www.khanacademy.org/math/prealgebra/decimalsprealg/percentwordprobsprealg/v/solvingpercentproblems3  Finding the equation of a line given 2 points 
Solving 1 step equations with fractions
 https://www.khanacademy.org/math/algebra/onevariablelinearequations/alg1onestepaddsubequations/v/examplesofonestepequationswithfractionsanddecimals
 http://www.virtualnerd.com/middlemath/multiplyingdividingfractions/solveequations/fractionmultiplicationexample
 https://www.youtube.com/watch?v=Ow2kGG53TyM
Percent word problems
2. Medium level: https://www.khanacademy.org/math/prealgebra/decimalsprealg/percentwordprobsprealg/v/solvingpercentproblems3
Direct Variation Forgot what direct variation is? Start with the Introduction to Direct Variation video through this link. Then progress to the other videos in the list.  Converting to y=mx+b Converting from one form of a linear equation to slope intercept form.  Converting to standard form Standard form has very specific characteristic:

Direct Variation
Converting to y=mx+b
Converting to standard form
 All whole numbers
 x & y on 1 side and constant (plain number) on the other
 x is positive
Writing linear equations Still confused about writing equations of lines? Not sure how to convert from one form to the other? Here are some videos for you!https://www.khanacademy.org/math/cceighthgrademath/cc8thlinearequationsfunctions/8thslopeinterceptform/v/equationofaline1  Graphing Still struggling with graphing? Here is a link to several videos starting with easy and progressing to graphing linear equations.
 Absolute Value 
Writing linear equations
Graphing
 Graphing Points: https://www.khanacademy.org/math/algebrabasics/corealgebragraphinglinesslope/corealgebragraphingcoordinateplan/v/descartesandcartesiancoordinates
 Graphing from slope intercept form (y=mx+b): https://www.khanacademy.org/math/algebra/twovarlinearequations/graphingslopeinterceptequations/v/graphingalineinslopeinterceptform
Domain Here are a few links about domain of equations. One has detailed note explanation the other has videos and practice problems. Remember domain are the x values.  Range Range has a few definitions but for our purposes it is the y values of an equation. https://www.khanacademy.org/math/algebra/algebrafunctions/domainandrange/v/rangeofafunction 
Domain
Range
https://www.khanacademy.org/math/algebra/algebrafunctions/domainandrange/v/rangeofafunction
FOIL Method Don't remember how to multiply binomials? Don't know what I mean in class by FOIL it out? Here is a link with videos for you.  Exponent Laws When multiplying or dividing variables with exponents there are very specific rules that you must follow. Here is a link explaining.  Converting Percent to Decimal When using percents in equations we must convert to decimals first. Here is a video about that. 
FOIL Method
Exponent Laws
Converting Percent to Decimal
Solving systems of linear equations with substitution A series of videos about solving systems of equations using substitution method.  Solving Systems of Linear Equations using Elimination Solving linear systems using the elimination method starting with easy video/explanation and progressing to problems similar to quiz questions.  Solving Systems with 3 equations/variables This link is for 4 videos on examples of solving systems of 3 equations with 3 variables using elimination/substitution. I recommend watching them all, in order. 
Solving systems of linear equations with substitution
Solving Systems of Linear Equations using Elimination
Solving Systems with 3 equations/variables
I recommend watching them all, in order.
Long Division (constants only) This is the long division method everyone learned before calculators were shoved into your hands! Videos begin with basic examples and then progress to higher level. Reviewing this method will help you learn polynomial long division. https://www.khanacademy.org/math/arithmetic/multiplicationdivision/long_division/v/division2  Long Division of Polynomials (what we learned in this class) We learned to divide one expression by another using long division. Here are a couple videos to help you if you are still struggling. Practice problems are also available through this link. :)  Basic Word Problems Have trouble with linear word problems? Here are some example videos that may help you. Remember that it is important to identify the number of unknown values/variables. That will help you to decide how to set up the equation. 
Long Division (constants only)
https://www.khanacademy.org/math/arithmetic/multiplicationdivision/long_division/v/division2
Long Division of Polynomials (what we learned in this class)
Basic Word Problems
Factoring Constants Before you can factor polynomials, you need to be able to factor constants. Constants are plain numbers, no variables.  Factoring Quadratics There are multiple ways to factor quadratics. Here are a few videos that use different methods.
 Factoring Polynomials by Grouping Sometimes we cannot use the MAMA table to factor. In cases like that, we should try pairing up terms and factoring out a GCF (Greatest Common Factor). 
Factoring Constants
Factoring Quadratics
 https://www.khanacademy.org/math/prealgebra/factorsmultiples/divisibility_and_factors/v/findingfactorsofanumber
 https://www.youtube.com/watch?v=aZd_FdAhzDE
 Factoring a quadratic using the AC method, also known as the MAMA table method: https://www.youtube.com/watch?v=aZd_FdAhzDE
Factoring Polynomials by Grouping
Factoring polynomials special casesRemember that finding the factors and finding the "zeroes" of a function are related. 1. Difference of cubes: https://www.khanacademy.org/math/algebra2/polynomialfunctions/advancedpolynomialfactorizationmethods/v/differenceofcubesfactoring 2. Sum of cubes: https://www.khanacademy.org/math/algebra2/polynomialfunctions/advancedpolynomialfactorizationmethods/v/factoringsumofcubes 3.  Factoring polynomials generalRemember that finding the factors and finding the "zeroes" of a function are related. See the steps below for finding all the roots/zeroes of a polynomial when you cannot use quadratic formula or grouping: 2. Step 2 is to use Synthetic Division to test each possible rational root. If you get a remainder of zero, it works and is a root/zero/factor. See synthetic division for video. 3. After finding all the rational roots, you may be left with a quadratic. Use the quadratic formula to find the remaining roots/zero/factors. Various examples:
 End behavior and multiplicity

Factoring polynomials special cases
Remember that finding the factors and finding the "zeroes" of a function are related.
1. Difference of cubes: https://www.khanacademy.org/math/algebra2/polynomialfunctions/advancedpolynomialfactorizationmethods/v/differenceofcubesfactoring
2. Sum of cubes: https://www.khanacademy.org/math/algebra2/polynomialfunctions/advancedpolynomialfactorizationmethods/v/factoringsumofcubes
3.
Factoring polynomials general
Remember that finding the factors and finding the "zeroes" of a function are related. See the steps below for finding all the roots/zeroes of a polynomial when you cannot use quadratic formula or grouping:
2. Step 2 is to use Synthetic Division to test each possible rational root. If you get a remainder of zero, it works and is a root/zero/factor. See synthetic division for video.
3. After finding all the rational roots, you may be left with a quadratic. Use the quadratic formula to find the remaining roots/zero/factors.
Various examples:
 Finding the real roots/solutions using factoring by grouping: https://www.khanacademy.org/math/algebra2/polynomialfunctions/findingzerosofpolynomials/v/findingrootsorzerosofpolynomial1
 Using zeroes/roots of a graph to match it with an equation: https://www.khanacademy.org/math/algebra2/polynomialfunctions/findingzerosofpolynomials/v/findingrootsorzerosofpolynomial1
 Using rational root theorem and synthetic division to find factors: https://www.youtube.com/watch?v=YMyv99VXw4
End behavior and multiplicity
 End behavior: Basically says what f(x) is doing as x approaches infinity and what f(x) is doing as x approaches negative infinity. Keep in mind, x approaches negative infinity on the left side and approaches positive infinity on the right side of the graph. To see what f(x) is doing on each side just look at the arrows od your graph on each side. If it is pointing up, f(x) approaches infinity, if it points down f(x) approaches negative infinity. https://www.khanacademy.org/math/algebra2/polynomialfunctions/polynomialendbehavior/e/determinetheendbehaviorofpolynomials
 Multiplicity: Multiplicity basically just tells us how many times a factor is used when we factor a polynomial out. For example multiplicity of 1 means we use it once, multiplicity of 2 we use it twice, etc. If we are looking at a graph a odd multiplicity means the graph passes through the point, but an even multiplicity means we touch the point and go back up or down (depending on the direction the graph). https://www.khanacademy.org/math/algebra2/polynomialfunctions/zerosofpolynomialsandtheirgraphs/a/zerosofpolynomialsandtheirgraphs
How do you calculate your grade percentage?
Quadratic Formula We can use the quadratic formula to solve for solutions of quadratics (also called roots, zeroes, factors, x intercepts).  Introduction to Imaginary Numbers Imaginary numbers are a way to solve problems that have no "real" solution because they break our math laws/rules.  Imaginary numbers and conjugates Conjugates allow use to simplify fractions with imaginary numbers in the denominator. Remember we cannot leave radicals or imaginary numbers in the denominator. First a video about finding and multiplying by the conjugate: https://www.khanacademy.org/math/precalculus/imaginaryandcomplexnumbers/complexconjugatesanddividingcomplexnumbers/v/complexconjugatesexample Using the conjugate of a denominator: https://www.khanacademy.org/math/precalculus/imaginaryandcomplexnumbers/complexconjugatesanddividingcomplexnumbers/v/dividingcomplexnumbers 
Quadratic Formula
Introduction to Imaginary Numbers
Imaginary numbers and conjugates
First a video about finding and multiplying by the conjugate: https://www.khanacademy.org/math/precalculus/imaginaryandcomplexnumbers/complexconjugatesanddividingcomplexnumbers/v/complexconjugatesexample
Using the conjugate of a denominator: https://www.khanacademy.org/math/precalculus/imaginaryandcomplexnumbers/complexconjugatesanddividingcomplexnumbers/v/dividingcomplexnumbers
Exponential Growth & Decay In case you still have questions about our lessons on exponential growth and decay, here are a few extra examples.  Compound Interest Compound interest: https://www.khanacademy.org/economicsfinancedomain/corefinance/interesttutorial/interestbasicstutorial/v/introductiontointerest ; https://www.khanacademy.org/economicsfinancedomain/corefinance/interesttutorial/compoundinteresttutorial/v/introductiontocompoundinterest?v=Rm6UdfRs3gw  Graphing exponetial functions: Asymptotes, domain, and range Here are some videos that talk about asymptotes, domain, and range for our exponential functions: 
Exponential Growth & Decay
Compound Interest
https://www.khanacademy.org/economicsfinancedomain/corefinance/interesttutorial/interestbasicstutorial/v/introductiontointerest ; https://www.khanacademy.org/economicsfinancedomain/corefinance/interesttutorial/compoundinteresttutorial/v/introductiontocompoundinterest?v=Rm6UdfRs3gw
Graphing exponetial functions: Asymptotes, domain, and range
Matrices: Add & Subtract Here is another example of how to add and subtract matrices.  Transformations 1. Linear: 2. Quadratics: Introduction:https://www.khanacademy.org/math/algebra/quadratics/transformingquadraticfunctions/v/shiftingandscalingparabolas ; shifting: https://www.khanacademy.org/math/algebra/quadratics/transformingquadraticfunctions/v/exampletranslatingparabola ; scaling & reflecting: https://www.khanacademy.org/math/algebra/quadratics/transformingquadraticfunctions/v/scalingandreflectingparabolas 3. Functions: Shifting: https://www.khanacademy.org/math/algebra2/manipulatingfunctions/stretchingfunctions/v/shiftingandreflectingfunctions ; compressing: https://www.khanacademy.org/math/algebra2/manipulatingfunctions/stretchingfunctions/v/compressingfunctionsexample ; reflecting & compressing: https://www.khanacademy.org/math/algebra2/manipulatingfunctions/stretchingfunctions/v/reflectingandcompressingfunctions 
Matrices: Add & Subtract
Transformations
2. Quadratics: Introduction:https://www.khanacademy.org/math/algebra/quadratics/transformingquadraticfunctions/v/shiftingandscalingparabolas ; shifting: https://www.khanacademy.org/math/algebra/quadratics/transformingquadraticfunctions/v/exampletranslatingparabola ; scaling & reflecting: https://www.khanacademy.org/math/algebra/quadratics/transformingquadraticfunctions/v/scalingandreflectingparabolas
3. Functions: Shifting: https://www.khanacademy.org/math/algebra2/manipulatingfunctions/stretchingfunctions/v/shiftingandreflectingfunctions ; compressing: https://www.khanacademy.org/math/algebra2/manipulatingfunctions/stretchingfunctions/v/compressingfunctionsexample ; reflecting & compressing: https://www.khanacademy.org/math/algebra2/manipulatingfunctions/stretchingfunctions/v/reflectingandcompressingfunctions