Algebra Basics ( Unit 1) 8.1a - Order of Operations 8.1b - Compare and order decimals, fractions, percentages, and numbers written in scientific notation Converting Fractions, Decimals, & Percentages Scientific Notation 8.2 - Real Number System 8.4 - Apply order of operations to evaluate algebraic expressions for given replacement values of the variables 8.15a - Solve multistep linear equations in one variable with the variable on one and two sides of the equation 8.15b - Solve two-step linear inequalities and graph the results on a number line 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 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 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 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 A.7b - Domain and range 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 A.7f - Making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic 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 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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