Formative Assessment: Sequences and Series

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Objective

SWBAT use geometric and arithmetic sequences to solve a variety of problems.

Big Idea

Use this formative assessment to measure progress on the first part of this unit.

Lesson Author

Tim Marley

Troy, MI

Grade Level

Eleventh grade

Twelfth grade

Subjects

Math

Geometry

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.★

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-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).

MP1

Make sense of problems and persevere in solving them.

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

Quiz

45 minutes

Here are some sample problems that you can use for a quiz for this unit. I have focused on using contexts to explore sequences and series, so I want that to be a focus for the assessments as well. You may certainly add or delete questions based on how long you want your quiz to be.

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