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COURSE CURRICULUM MAP Algebra 1 B 2012/2013 19-21 Weeks Content Skills 22-24 Weeks Zero and negative exponents Multiplication of powers with the same base Properties of exponents Rational exponents and radicals Exponential functions Exponential growth and decay Geometric sequences Relevant vocabulary Simplify expressions involving zero and negative exponents Multiply powers with the same base Raise a power to a power Raise a product to a power Divide powers with the power base Raise a quotient to a power Rewrite expressions involving radicals and rational exponents Evaluate and graph exponential functions Model exponential growth and decay Write and use recursive formulas for geometric sequences Adding and subtracting polynomials Multiplying and Factoring Multiplying Binomials Multiplying Special Cases Factoring ax^2 +bx + c, a=1 and a≠1 Factoring Special Cases Factoring by Grouping Relevant vocabulary 25-27 Weeks Classify, add, and subtract polynomials Multiply a monomial by a polynomial Factor a monomial from a polynomial Multiply a binomial by a binomial or trinomial Find the square of a binomial Find the product of a sum and difference Factor trinomials in the form x^2 +bx +c Factor trinomials in the form ax^2 + bx + c Factor perfect-square trinomials and the differences of two squares Factor higher-degree polynomials by grouping Assessment for Content and Skills Draft 05-31-2012 Tests, quizzes, projects, online checkpoint assessments, class starters, Cognitive Tutor, homework, alternative assessments, etc… 70% of grade will be on summative 10% of grade will be on formative 20% of grade will be on Cognitive Tutor Tests, quizzes, projects, online checkpoint assessments, class starters, Cognitive Tutor, homework, alternative assessments, etc… 70% of grade will be on summative 10% of grade will be on formative 20% of grade will be Cognitive Tutor Quadratic graphs and their properties Quadratic functions Solving quadratic equations by graphing, factoring, completing the square, and the quadratic formula Linear, quadratic, and exponential models Systems of linear and quadratic equations Relevant vocabulary Graph quadratic functions of the form y=ax^2 and y=ax^2+c Graph quadratic functions of the form y=ax^2 + bx +c Solve quadratic equations by graphing and using square roots Solve quadratic equations by factoring Solve quadratic equations by completing the square Solve quadratic equations using the quadratic formula Find the number of solutions of a quadratic equation Choose a linear, quadratic or exponential model for data Solve systems of linear and quadratic equations Apply relevant vocabulary. Tests, quizzes, projects, online checkpoint assessments, class starters, Cognitive Tutor, homework, alternative assessments, etc… 70% of grade will be on summative 10% of grade will be on formative 20% of grade will be Cognitive Tutor page 1 COURSE CURRICULUM MAP Algebra 1 B 2012/2013 28-30 Weeks Content Skills Assessment for Content and Skills 31-33 Weeks Organizing data using matrices Frequency and histograms Measures of central tendency and dispersion Box-and-Whiskers plots Relevant vocabulary Organize data in a matrix Add and subtract matrices and multiply a matrix by a scalar Make and interpret frequency tables and histograms Find mean, median, mode, and range Make and interpret box-and-whiskers plots Find quartiles and percentiles Tests, quizzes, projects, online checkpoint assessments, class starters, Cognitive Tutor, homework, alternative assessments, etc… 70% of grade will be on summative 10% of grade will be on formative 20% of grade will be Cognitive Tutor 34-36 Weeks End of Instruction exam preparation and testing Probability and Statistics Test taking skills Relevant vocabulary The Pythagorean Theorem Simplifying radicals Operations with radical expressions Solving radical equations Simplifying rational expressions Solving rational expressions Relevant vocabulary Utilize application models to review box and whisker plots, measures of central tendency, stem and leaf plots, and other probability topics. Practice test taking skills through EOI preparation materials such as sample tests and class starters. Apply relevant vocabulary. Solve problems using the Pythagorean Theorem Identify right triangles Simplify radicals involving products and quotients Simplify sums and differences of radical expressions Simplify products and quotients of radical expressions Solve equations containing radicals Identify extraneous solutions Simplify rational expressions Multiply and divide rational expressions Simplify complex fractions Solve rational equations and proportions Tests, quizzes, projects, online checkpoint assessments, class starters, Cognitive Tutor, homework, alternative assessments, etc… 70% of grade will be on summative 10% of grade will be on formative 20% of grade will be Cognitive Tutor Tests, quizzes, projects, online checkpoint assessments, class starters, Cognitive Tutor, homework, alternative assessments, etc… 70% of grade will be on summative 10% of grade will be on formative 20% of grade will be Cognitive Tutor “summative” is performance based (i.e. tests and C.T.); “formative” is effort based (i.e. homework) Draft 05-31-2012 page 2