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### 3.5 Arithmetic Sequence as Linear Functions

Standard(s):

• F.IF.A.3: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.
• F.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.
• F.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).

Essential Question:

• How can the relationship between quantities best be represented?
• In what ways can the problem be solved, and why should one method be chosen over another?
• When does a function best model a situation?
• In what ways can functions be built?
• How can I use algebra to describe the relationship between sets of numbers?
• In what ways can the choice of units, quantities, and levels of accuracy impact a solution?

Learning Target:

• I can identify the pattern in a sequence. (Analyze)
• I can write a function rule for a sequence. (Synthesize)
• I can define explicit and recursive expression of a function. (Knowledge)

Warm-Up:

Notes:

Click on the image below for the PDF of the notes 3.5 Arithmetic Sequences as Linear Functions

Video:

Click below for the Classroom Lesson -  3.5 Arithmetic Sequences as Linear Functions

Watch this video on Arithmetic Sequences as Linear Functions

Activities:
Click on the image below for the actiivity -  Arithmetic Sequences as Linear Functions

Click on the image below for the activity IXL -  Arithmetic Sequences as Linear Functions

Assessment/Homework:
pg. 191 8-22 even