Reflection: Checks for Understanding Sequences Assessment  Section 2: Assessment
In many of my units I use portfolios at the end of the unit to allow students the opportunity to show what they know. Because this unit is short and doesn't necessarily have a theme or a central unit problem, I think it lends itself better to quick end of unit assessment. The assessment could easily be modified to be more challenging for advanced students to perhaps made open note for students who really struggle with this content. The key idea is to determine away for us as teachers to be clear about what the student has learned. There are a variety of ways to collect that information and tests and quizzes are just one possible method.
Sequences Assessment
Lesson 10 of 10
Objective: SWBAT write recursive and explicit formulas from a table for arithmetic and geometric sequences.
Opening
I start class by asking students what strategies they use to determine if a sequence is arithmetic or geometric. I am looking for students to clearly distinguish between the two kinds of sequences and for them to articulate how to find the constant difference or constant ratio. Next, I ask students what strategies they have for writing recursive equations and we do the same for explicit equations. I might spend a little more time eliciting ideas for explicit equations for geometric sequences because I know this is where students really struggle.
Assessment
We read through the instructions for the sequences assessment together. I make sure students understand that the top line of each function asks them to describe how to find the next term (this should also be helpful for them to write the recursive function). I also remind students that they have a model example to work with.
I scale the difficulty of these problems based on the students in my class. If you are working with more advanced students, you could include a lot more sequences that involve fractions or decimals or a have a negative constant ratio.
Resources (1)
Resources (1)
Resources

The sequences assessment is derived from What Comes Next, What Comes Later?

What Comes Next, What Comes Later is licensed by © 2012 Mathematics Vision Project  MVP In partnership with the Utah State Office of Education Licensed under the Creative Commons AttributionNonCommercialShareAlike 3.0 Unported license.

http://www.mathematicsvisionproject.org/secondary1mathematics.html
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