Unit Design Warren County Public Schools

Content Area Mathematics Grade/Course HS Algebra 2 Unit Title Unit 10 Plan - Sequences and Series Duration of Unit 12 days

Priority Standards HSA.SSE.B.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. For example, calculate mortgage payments

H.SF.LE.A.2 - Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

HSF.IF.A.3 - Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1), f(n + 1) = f(n) + f(n-1) for n ≥ 1. HSA.CED.A.2 - Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Quality Core Standards H.2. Sequences and Series A. Find the nth term of an arithmetic or geometric sequence. B. Find the position of a given term of an arithmetic or geometric sequence. C. Find sums of a finite arithmetic or geometric series. D. Use sequences and series to solve real-world problems. E. Use sigma notation to express sums.

Supporting Standards HSF.BF.A.1a - Determine an explicit expression, a recursive process, or steps for calculation from a context.

HSF.BF.A.2 - Write arithmetic and geometric sequences, both recursively and with an explicit formula, use them to model situations, and translate between the two forms.*

HSF.IF.B.5 - Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.* Unit Design Warren County Public Schools

Concepts (nouns) Skills (verbs) Bloom’s Level (verb) Formula Derive Apply Geometric Series Solve Apply Arithmetic and Construct Create Geometric Sequences Sequences Recognize Analyze Domain Relate and Graph Analyze Equations Create Create

Learning Targets LT1: Identify a sequence as arithmetic or geometric. LT2: Create two variable systems. LT3: Find the nth term of an arithmetic or geometric sequence. LT4: Find the position of a given term of an arithmetic or geometric sequence. LT5: Find sums of a finite arithmetic or geometric series. LT6: Solve real world problems involving sequences and series. LT7: Write a sum using sigma notation.

Determine Big Ideas (lifelong Write Essential Questions (Answer Big Idea, understandings) hook student interest. Sequences and series can be used to model Given two different salary options, which salary and analyze real world problems. would you choose and why?

Formative Assessment Lesson(s): “The teacher leaders for the Gates grant work recommend that Warren County Administration adopt the practice that Warren County Math teachers do a minimum of one Formative Assessment Lesson per quarter. Other choices for formative assessment lessons may be found at http://map.mathshell.org/materials/lessons.php .

Common Assessment(s): HS Algebra 2 Unit 10 DCA – Sequences and Series Version A HS Algebra 2 Unit 10 DCA – Sequences and Series Version B HS Algebra 2 Unit 10 DCA – Sequences and Series Version C

Note: HS Algebra 2 Unit 10 DCA – Sequences and Series Review is to be used in conjunction with the above assessments.