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Algebra Basics ( Unit 1)

8.1a - Order of Operations

https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/introduction-to-order-of-operations

https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/order-of-operations

https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/order-of-operations-1

https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/more-complicated-order-of-operations-example

8.1b - Compare and order decimals, fractions, percentages, and numbers written in scientific notation

Converting Fractions, Decimals, & Percentages

https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/representing-a-number-as-a-decimal-percent-and-fraction-2

Scientific Notation

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation/v/scientific-notation

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation/v/scientific-notation-i

8.2 - Real Number System

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers/v/introduction-to-rational-and-irrational-numbers

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers/v/recognizing-irrational-numbers

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers/v/categorizing-numbers

8.4 - Apply order of operations to evaluate algebraic expressions for given replacement values of the variables

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expre/v/evaluating-expressions-in-two-variables

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expre/v/evaluate-a-formula-using-substitution

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expre/v/evaluating-exponential-expressions

8.15a - Solve multistep linear equations in one variable with the variable on one and two sides of the equation

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations/v/equations-3

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations/v/multi-step-equations-1

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-linear-equations/v/solving-equations-2

8.15b - Solve two-step linear inequalities and graph the results on a number line

https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/multi-step-inequalities-3

Algebra 1

A.1 - Represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables.

A.2 - Perform operations on polynomials, including...

A.2a - Applying the laws of exponents to perform operations on expressions

http://www.virtualnerd.com/algebra-1/exponents-exponential-functions/product-powers-variables-example.php

https://www.youtube.com/watch?v=m-wZxnOW7Cc

https://www.youtube.com/watch?v=7pY8Mroelbg

https://www.youtube.com/watch?v=YWyhQnB6ljU&feature=iv&src_vid=Mm4y_I8-hoU&annotation_id=annotation_634812607

https://www.youtube.com/watch?v=7MZsfSqkV44

A.2b - Adding, subtracting, multiplying, and dividing polynomials

http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/addition-example.php

http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/subtraction-example.php

http://www.virtualnerd.com/algebra-2/polynomials/binomial-multiplication-distributive-property.php

http://www.virtualnerd.com/algebra-2/polynomials/trinomial-multiplication.php

https://www.youtube.com/watch?v=xNQ0BFD40lY

https://www.youtube.com/watch?v=qnMEcCOYcpo

https://www.youtube.com/watch?v=uERRlY-WmmU

https://www.youtube.com/watch?v=5qOseWC4yc8

A.2c - Factoring completely first- and second-degree binomials and trinomials in one or two variables.

http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/trinomial-factorization-example.php

http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/trinomial-factorization/leading-coefficient-1/trinomial-template

http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/trinomial-factorization/leading-coefficient-not-1/factor-by-guess-and-check

http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/trinomial-factorization/leading-coefficient-not-1/factor-by-a-c-method

http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/difference-of-square-common-factor-example.php

http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/factoring-strategy-solving-equations/choosing-strategy-grouping/determine-strategy

http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/difference-of-squares-identification.php

http://www.virtualnerd.com/algebra-1/polynomials-and-factoring/factoring-special-products/difference-square-or-cubes/difference-of-squares-example

A.3 - Express the square roots and cube roots of whole numbers and the square root of a monomials algebraic expression in simplest radical form

http://www.virtualnerd.com/pre-algebra/real-numbers-right-triangles/square-root-non-perfect-square-simplification.php

http://www.virtualnerd.com/pre-algebra/factors-fractions-exponents/prime-factorization-greatest-common-factor/prime-factorization/prime-factorization-by-tree

A.4 - Solve multistep linear and quadratic equations in two variables, including...

A.4a - Solving literal equations (formulas) for a given variable

http://www.virtualnerd.com/pre-algebra/inequalities-multi-step-equations/literal-equation-definition.php

A.4b - Justifying steps used in simplifying expressions and solving equations, using field properties and axioms of equality that are valid for the set of real numbers and its subsets

A.4c - Solving quadratic equations algebraically and graphically

A.4d - Solving multistep linear equations algebraically and graphically

Finding the Slope of a Line

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/converting-to-slope-intercept-form

Graphing Linear Equations (By Slope-Intercept)

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/graphing-a-line-in-slope-intercept-form

Graphing Linear Equations (By Intercepts)

https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-intercepts/v/graphing-using-x-and-y-intercepts

https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-intercepts/v/x-and-y-intercepts

Convert from Standard to Slope-Intercept Form

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/converting-to-slope-intercept-form

Multi-Step Equations, Variables on Both Sides,

https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/multi-step-equations

https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/multi-step-equations-2

https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/equations-with-variables-on-both-sides

Infinite and No Solutions

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions/v/number-of-solutions-to-linear-equations

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions/v/equation-special-cases

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions/v/number-of-solutions-to-linear-equations-ex-2

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-equation-solutions/v/number-of-solutions-to-linear-equations-ex-3

Absolute Value Equations

https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations

https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations-example-1

https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equation-example-2

https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/u02-l2-t2-we1-absolute-value-equations-avi

https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations-1

https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equation-example

A.4e - Solving systems of two linear equations in two variables algebraically and graphically

Graphing

http://www.virtualnerd.com/algebra-2/linear-systems/equations-solution-by-graphing.php

http://www.virtualnerd.com/algebra-2/linear-systems/equations-no-solution.php

Substitution

http://www.virtualnerd.com/pre-algebra/linear-functions-graphing/equations-solution-by-substitution.php

http://www.virtualnerd.com/pre-algebra/inequalities-multi-step-equations/no-solution-definition.php

http://www.virtualnerd.com/pre-algebra/inequalities-multi-step-equations/no-solution-equation-example.php

Elimination

http://www.virtualnerd.com/algebra-2/linear-systems/equations-solution-by-elimination-addition.php

http://www.virtualnerd.com/algebra-2/linear-systems/equation-solution-by-elimination-subtraction.php

http://www.virtualnerd.com/algebra-2/linear-systems/equations-solution-by-elimination-multiplication.php

http://www.virtualnerd.com/algebra-2/linear-systems/equations-solution-by-elimination-multiplication-alternative.php

A.4f - Solving real-world problems involving equations and systems of equations

http://www.virtualnerd.com/algebra-2/linear-systems/equations-word-problem-solution-example.php

http://www.virtualnerd.com/algebra-2/linear-systems/two-simultaneous-equations-word-problem.php

A.5 - Solve multistep linear inequalities in two variables, including...

A.5a - Solving multistep linear inequalities algebraically and graphically

A.5b - Justifying steps used in solving inequalities, using axioms of inequality and properties of order that are valid for the set of real numbers and its subsets

A.5c - Solving real-world problems involving inequalities

A.5d - Solving systems of inequalities

A.6 - Graph linear equations and linear inequalities in tow variables, including...

A.6a - Determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line.

A.6b - Writing the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line

A.7 - Investigate and analyze function (linear and quadratic) families and their characteristics both algebraically and graphically, including...

A.7a - Determining whether a relation is a function

http://www.virtualnerd.com/algebra-1/relations-functions/functions/function-notation/How-Can-You-Tell-if-a-Relation-is-Not-a-Function

http://www.virtualnerd.com/algebra-1/relations-functions/functions/function-notation/identify-difference

http://www.virtualnerd.com/algebra-1/relations-functions/functions/function-notation/continuous-definition

A.7b - Domain and range

http://www.virtualnerd.com/algebra-1/relations-functions/relations/relations-examples/find-domain-range-example

http://www.virtualnerd.com/algebra-1/relations-functions/relations/relations-examples/relation-from-word-problem-example

https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/domain-and-range-from-graphs

A.7c - Zeroes of a function

A.7d - x- and y-intercepts

A.7e - Finding the values of a function for elements in its domain

http://www.virtualnerd.com/algebra-1/relations-functions/functions/function-notation/f-of-x-definition

http://www.virtualnerd.com/algebra-1/relations-functions/functions/function-notation/f-of-x-evaluation

A.7f - Making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic

http://www.virtualnerd.com/algebra-1/relations-functions/arithmetic-sequences/arithmetic-sequence-terms/sequence-nth-term-example

A.8 - Given a situation in a real-world context, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation graphically

http://www.virtualnerd.com/tutorials/?id=Alg1_10_2_22

http://www.virtualnerd.com/pre-algebra/linear-functions-graphing/direct-variation/define-direct-variation/direct-variation-proportionality-formula

http://www.virtualnerd.com/pre-algebra/polynomials-nonlinear-functions/inverse-variation/inverse-variation-examples/inverse-variation-indirect-proportionality-formula

A.9 - Given a set of data, will interpret variation in real-world contexts and calculate and interpret mean absolute deviation, standard deviation, and z-scores

A.10 - Compare and contrast multiple univariate data sets, using box-and-whicker plots

A.11 - Collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using mathematical models including linear and quadratic functions

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