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This task focuses on using Carbon 14 isotope exponential decay to date when plant died. If plant died at a certain time, how much Carbon 14 should still be present?

This resource is in rough draft form but will support students in classifying sequences.

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.

Can entail discussion about the equivalence of radicals and exponents.

Students compare three functions: f(x)=2x, g(x)=x² and h(x)=2^x and analyze rates of change. It would be good to modify the activity by having students also graph and create tables for the three functions then describe how they compare in each of those representations.

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.