Algebra Basics ( Unit 1)8.1a - Order of Operations8.1b - Compare and order decimals, fractions, percentages, and numbers written in scientific notationConverting Fractions, Decimals, & PercentagesScientific Notation8.2 - Real Number System8.4 - Apply order of operations to evaluate algebraic expressions for given replacement values of the variables8.15a - Solve multistep linear equations in one variable with the variable on one and two sides of the equation8.15b - Solve two-step linear inequalities and graph the results on a number lineAlgebra 1A.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 expressionshttp://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 polynomialshttp://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 formhttp://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 variableA.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 subsetsA.4c - Solving quadratic equations algebraically and graphicallyA.4d - Solving multistep linear equations algebraically and graphicallyFinding the Slope of a Line Graphing Linear Equations (By Slope-Intercept) Graphing Linear Equations (By Intercepts) Convert from Standard to Slope-Intercept Form Multi-Step Equations, Variables on Both Sides, Infinite and No Solutions Absolute Value Equations A.4e - Solving systems of two linear equations in two variables algebraically and graphicallyGraphinghttp://www.virtualnerd.com/algebra-2/linear-systems/equations-solution-by-graphing.php http://www.virtualnerd.com/algebra-2/linear-systems/equations-no-solution.php Substitutionhttp://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 Eliminationhttp://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 equationshttp://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 graphicallyA.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 subsetsA.5c - Solving real-world problems involving inequalitiesA.5d - Solving systems of inequalitiesA.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 lineA.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 functionA.7b - Domain and rangeA.7c - Zeroes of a functionA.7d - x- and y-interceptsA.7e - Finding the values of a function for elements in its domainA.7f - Making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraicA.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 graphicallyA.9 - Given a set of data, will interpret variation in real-world contexts and calculate and interpret mean absolute deviation, standard deviation, and z-scoresA.10 - Compare and contrast multiple univariate data sets, using box-and-whicker plotsA.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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