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Trousdale County Schools Lesson Plan 2016-17 Teacher: SEden Unit Name: Sequences/Rational Expressions Unit #:4/5 Unit Length: Week: January 9 – January 13 Week _____ of ______ Subject: Algebra II Tennessee State Standard(s) to be taught: (Write the entire standard) F-BF Building Functions Build a function that models a relationship between two quantities 2. Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. A-SSE Seeing Structure in Expressions Interpret the structure of expressions 1. Interpret expressions that represent a quantity in terms of its context. a. Interpret parts of an expression, such as terms, factors, and coefficients. A-CED Creating Equations Create equations that describe numbers or relationships 1. Create equations and inequalities in one variable and use them to solve problems. A-SSE Seeing Structure in Expressions Interpret the structure of expressions 1. Interpret expressions that represent a quantity in terms of its context. a. Interpret parts of an expression, such as terms, factors, and coefficients. Write expressions in equivalent forms to solve problems. 4. Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems A-APR Arithmetic with Polynomials and Rational Expressions Rewrite rational expressions 6. Rewrite simple rational expressions in different forms; write a(x) ____ b(x) in the form q(x) 1 r(x) ____ b(x) , where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system. 7. Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational 1 expression; add, subtract, multiply, and divide rational expressions. A-REI Reasoning with Equations and Inequalities Understand solving equations as a process of reasoning and explain the reasoning 2. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Represent and solve equations and inequalities graphically 11. Explain why the x-coordinates of the points where the graphs of the equations y 5 f(x) and y 5 g(x) intersect are the solutions of the equation f(x) 5 g(x); find the solutions approximately. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Accommodations for students, both regular and special populations : Unit Vocabulary: rational equation • extraneous solution• arithmetic sequence • geometric sequence • finite sequence • infinite sequence• series • finite series • infinite series • arithmetic series• geometric series Daily Agenda Resources, Technology, Formative and/or Summative Assessments, Assignments, and a Daily Activity for citing text based evidence in conversations and/or writing Monday – 9 B More practice on sequences – geometric and arithmetic – introduction to series Textbook Calculator Rational expression – adding and subtracting worksheet 2 Tuesday - 10 A Geometric series – section 6.3 Go over work from yesterday Check for understanding 6.2 Warm up 6.3 and more work on series Textbook Calculator Adding and subtracting practice Multiplying and dividing practice Wednesday – 11 B – Power Wednesday Board work for review 6.1 – 6.3 review and using formulas Test tomorrow Formulas that will be given on TN ready test Check for understanding adding and subtracting Review for a quiz tomorrow *board work Thursday – 12 A Check for understanding Chapter 6 test – sequences and series Test Quiz over adding and subtraction rational expressions Quiz Check and warm up Friday – 13 B Rational expressions – multiplying Factoring GCF and basic trinomials Textbook Factoring resources Rational equations –solving for a variable 3