Standard #: MAFS.912.F-BF.1.2 (Archived Standard)


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Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.


General Information

Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Functions: Building Functions
Cluster: Build a function that models a relationship between two quantities. (Algebra 1 - Supporting Cluster) (Algebra 2 - Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved - Archived

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1201300: Mathematical Analysis Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1298310: Advanced Topics in Mathematics (formerly 129830A) (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
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7912095: Access Algebra 2 (Specifically in versions: 2016 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
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Related Resources

Lesson Plan

Name Description
Plants versus Pollutants Model Eliciting Activity

The Plants versus Pollutants MEA provides students with an open-ended problem in which they must work as a team to design a procedure to select the best plants to clean up certain toxins. This MEA requires students to formulate a phytoremediation-based solution to a problem involving cleaning of a contaminated land site. Students are provided the context of the problem, a request letter from a client asking them to provide a recommendation, and data relevant to the situation. Students utilize the data to create a defensible model solution to present to the client.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Problem-Solving Task

Name Description
Temperatures in Degrees Fahrenheit and Celsius

Temperature conversions provide a rich source of linear functions which are encountered not only in science but also in our every day lives when we travel abroad. The first part of this task provides an opportunity to construct a linear function given two input-output pairs. The second part investigates the inverse of a linear function while the third part requires reasoning about quantities and/or solving a linear equation.

Tutorials

Name Description
Geometric sequence or progression

We will learn how to write a geometric sequence.

Geometric series

Geometric series

Finding the nth term in a recursively defined sequence

Finding the 4th term in recursively defined sequence

Virtual Manipulative

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Geometric and Harmonic Series- Limits

This applet allows users to set up various geometric series with a visual representation of the successive terms, and the corresponding sum of those terms.

Student Resources

Problem-Solving Task

Name Description
Temperatures in Degrees Fahrenheit and Celsius:

Temperature conversions provide a rich source of linear functions which are encountered not only in science but also in our every day lives when we travel abroad. The first part of this task provides an opportunity to construct a linear function given two input-output pairs. The second part investigates the inverse of a linear function while the third part requires reasoning about quantities and/or solving a linear equation.

Tutorials

Name Description
Geometric sequence or progression:

We will learn how to write a geometric sequence.

Geometric series:

Geometric series

Finding the nth term in a recursively defined sequence:

Finding the 4th term in recursively defined sequence

Virtual Manipulative

Name Description
Geometric and Harmonic Series- Limits:

This applet allows users to set up various geometric series with a visual representation of the successive terms, and the corresponding sum of those terms.



Parent Resources

Problem-Solving Task

Name Description
Temperatures in Degrees Fahrenheit and Celsius:

Temperature conversions provide a rich source of linear functions which are encountered not only in science but also in our every day lives when we travel abroad. The first part of this task provides an opportunity to construct a linear function given two input-output pairs. The second part investigates the inverse of a linear function while the third part requires reasoning about quantities and/or solving a linear equation.



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