Unit Assessment: Sequences and Series

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Objective

SWBAT use sequences and series to solve problems.

Big Idea

Assess your students' understanding of this unit.

Lesson Author

Tim Marley

Troy, MI

Grade Level

Eleventh grade

Twelfth grade

Subjects

Math

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.★

HSA-APR.C.5

(+) Know and apply the Binomial Theorem for the expansion of (x + y)<sup>n</sup> in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle.

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.*

MP1

Make sense of problems and persevere in solving them.

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

Exam

55 minutes

Here are some sample questions that you may choose to use for your exam. I wanted to include a lot of real-world situations since we spent so much time using contexts to study sequences and series.

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