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This is a printable version of the entire unit plan. You can make a copy of it and edit it or download and print it as needed.

Chunk sequences to match visuals of sequences to function rules.

Students will be able to look at different visual patterns and connect them to appropriate sequence descriptions helping them to distinguish arithmetic, geometric, and quadratic sequences.

This lesson unit is intended to help you assess how well students are able to interpret exponential and linear functions and in particular to identify and help students who have the following difficulties:

* Translating between descriptive, algebraic and tabular data, and graphical representation of the functions.
* Recognizing how, and why, a quantity changes per unit interval.

To achieve these goals students work on simple and compound interest problems.

Connect two different types of exponential representations using the structure of the representations.

Students will look at graph of an Arithmetic Sequence and a Geometric Sequence and calculate the difference of their next terms.

After this unit, how prepared are your students for the end-of-course Regents examination?  The end of unit assessment is designed to surface how students understand the mathematics in the unit.  It includes spiralled multiple choice and constructed response questions, comparable to those on the end-of-course Regents examination.  A rich task, that allows for multiple entry points and authentic assessment of student learning, may be available for some units and can be included as part of the end of unit assessment.  All elements of the end of unit assessment are aligned to the NYS Mathematics Learning Standards and PARCC Model Frameworks prioritization. 

Chunk a table to find connections between tables of values and the function rules for exponential functions.

<style type="text/css"><!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> </style> Students classify sequences as linear, exponential, or other based on the characteristics of the sequence.

This lesson is designed to help students develop strategies for modeling, and to guide them in observing key features of an exponential function.

This lesson unit is intended to help you assess how well students are able to:

* Interpret a situation and represent the constraints and variables mathematically.
* Select appropriate mathematical methods to use.
* Make sensible estimates and assumptions.
* Investigate an exponentially increasing sequence.
* Communicate their reasoning clearly.

This page contains instructions on how to use the initial task, Multiplying Cells, to find out what your students already know about working with sequence of numbers and using powers of two.