Sequence and Series Test

2 teachers like this lesson

Objective

SWBAT demonstrate their understanding of arithmetic and geometric sequences and series on this unit assessment.

Big Idea

This is the chance for students to demonstrate that they know how to apply the concepts of sequences and series and work flexibly with the formulas.

Lesson Author

Colleen Werner

Ipswich, MA

Grade Level

Eleventh grade

Subjects

Math

Algebra

Standards

HSA-SSE.A.1

Interpret expressions that represent a quantity in terms of its context.*

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-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) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.

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.*

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).

MP4

Model with mathematics.

MP7

Look for and make use of structure.

MP8

Look for and express regularity in repeated reasoning.