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Carbon 14 dating in practice

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Carbon 14 dating in practice

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?

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Classifying Sequences

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Classifying Sequences

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

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Comparing Arithmetic, Geometric, Quadratic Sequences

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Comparing Arithmetic, Geometric, Quadratic Sequences

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.

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Comparing decimal exponent to integer exponents to verify calculation

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Comparing decimal exponent to integer exponents to verify calculation

Can entail discussion about the equivalence of radicals and exponents.

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Comparing Graphs of Functions #2

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Comparing Graphs of Functions #2

Students compare three functions: f(x)=2x, g(x)=x2 and h(x)=2x 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.

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Comparing Investments

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Comparing Investments

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.

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Comparing Notations in Exponential Functions

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Comparing Notations in Exponential Functions

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

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Difference of Two Sequences

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Difference of Two Sequences

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

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End of Unit Assessment (Algebra II, Unit 2)

Algebra II
Unit 2: Exponential Functions
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End of Unit Assessment (Algebra II, Unit 2)

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. 

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Exponential Function Rules from Tables

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Exponential Function Rules from Tables

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

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Expressions with exponents

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Expressions with exponents

Students classify sequences as linear, exponential, or other based on the characteristics of the sequence.

Having Kittens

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Having Kittens

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.

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