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VESTAVIA HILLS CITY SCHOOLS CURRICULUM MAP 2008-09 SUBJECT: Algebra I Assessm’t Skills Content Standards August GRADE LEVEL: 8 October November December 1. Simplify numerical expressions using properties of real numbers and order of operations and exponents 7. Solve multi-step equations 7. Solve multi-step equations September 7. Solve multi-step equations or inequalities including linear and absolute value 2. Analyze linear functions from their equations, slopes, and intercepts 8. Solve systems of equations and inequalities in 2 variables Algebraic Expressions Properties Real Number System and Operations Linear Equations in one variable Inequalities Absolute Value Equations 2. Analyze linear functions from their equations, slopes, and intercepts 3. Determine characteristics of a relation 4. Represent graphically common relations Relations and Functions Linear equations in one or two variables 1-1 Write mathematical expressions for verbal expressions and vice versa 1-2 Evaluate numerical or algebraic expressions using the order of operations. 1-3 Solve open sentence equations or inequalities 1-4 - 1-6 Identify and apply the identity, equality, distributive, commutative, and associative properties 1-8 – 1-9 Interpret graphs 2-1 Graph rationals on number line. 2-2 – 2-4 Add, subtract, multiply, and divide integers and rationals 2-5 Analyze data from graphs 2-6 Find square roots and classify and order real numbers 3-1 Write equations given verbal sentence and vice versa 3-2 – 3-5 Solve equations using addition, subtraction, multiplication, division, multi-steps and with variables on both sides 3-6 Write and solve proportions 3-7 Write and solve percent problems 3-8 Solve formula for given variable 3-9 Write and solve weighted average problems 6-1 – 6-3 Solve and graph inequalities using addition, subtraction, multiplication, division, and multi-steps 6-4 Solve and graph compound inequalities on number line 6-5 Solve absolute value equations and inequalities on number line 4-1 Graph on the coordinate plane 4-2 Transform figures 4-3 – 4-4 Identify relations inverses, range and domain 4-5 Identify and graph linear equations 4-6 Identify functions and find function values 4-7 – 4-8 Identify arithmetic sequences or other pattern and extend to writing equation 5-1 Identify slope and apply to solve problems 5-2 Write, graph, and solve problems of direct variation 5-3 – 5-4 Write equation in slope-intercept form given graph; given slope and 1 point; or given 2 points 5-5 Write equation in pointslope or other forms 5-6 Write equation given info about parallel or perpendicular to a given line 5-7 Interpret points on a scatter plot and write equation for line of best fit 6-6 Graph an inequality or absolute value equation of two variables on coordinate plane 7-1 Solve systems of equations by graphing 6-7 and 7-5 Solve system of inequalities by graphing Oral responses Assignments Quizzes and Tests Oral responses Assignments Quizzes and Tests Oral responses Assignments Quizzes and Tests Oral responses Assignments Quizzes and Tests Oral responses Assignments Quizzes and Tests Linear equations and inequalities in one or two variables VESTAVIA HILLS CITY SCHOOLS CURRICULUM MAP 2008-09 SUBJECT: Algebra I Assessm’t Skills Content Standards January 8. Solve systems of equations and inequalities in two variables 1. Simplify numerical expression using properties of real numbers and order of operations Linear equations and inequalities in one or two variables Polynomials Scientific notation 7-2 – 7-4 Solve systems of equations using substitution, elimination with addition, subtraction, or multiplication 8-1 Multiply monomials and simplify expressions 8-2 Simplify expressions involving division or containing negative exponents 8-3 Write in scientific or standard notation and simplify products and quotients using scientific notation Oral responses Assignments Quizzes and Tests GRADE LEVEL: 8 February March April 1. Simplify numerical expression including those involving radical form 7. Solve multi-step equations including radical equations Radical expressions and equations May 1. Simplify numerical expressions 5. Perform operations on polynomial expressions 6. Factor polynomials 9. Solve quadratic equations using the zero product property Polynomials and nonlinear functions Quadratic and exponential functions 8-4 Identify degree of polynomial and write terms in ascending or descending order 8-5 – 8-8 Add, subtract, or multiply or (12-5) divide polynomials 9-1 Find prime factors or GCF of monomials 9-2 – 9-6 Factor assorted polynomials 9-2 – 9-6 Solve quadratic equations by factoring 10-1 Graph quadratic function and find vertex and equation of axis of symmetry 10-2 – 10-4 Solve quadratic equations by graphing , by finding the square root, by completing the square, or by applying the quadratic formula 10-5 – 10-6 Solve exponential problems 10-7 Identify geometric sequences and terms and find geometric means 11-1 Simplify radical expressions 11-2 Operate with radical expressions 11-3Solve radical equations 11-4 Apply the Pythagorean Theorem to solve problems 11-5 Apply the distance formula 11-6 Find unknown measures in similar triangles 12-1 Graph and solve indirect variation problems 12-2 Simplify rational expressions 12-3 – 12-4 Multiply or divide rational expressions 12-6 – 12-8 add, subtract or simplify rational expressions 12—9 Solve rational equations 11-7 Define and apply the trigonometric ratios to solve problems 13-2 Solve problems by using matrices 13-3 – 13-5 Organize and use data in various ways 14-1 Use the Fundamental Counting Principle to solve problems 14-2 Use permutations and combinations to solve problems 14-3 Probability of compound events Oral responses Assignments Quizzes and Tests Oral responses Assignments Quizzes and Tests Oral responses Assignments Quizzes and Tests Oral responses Assignments Quizzes and Tests Trigonometric ratios Statistics Probability