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https://www.cpalms.org//PreviewStandard/Preview/5580
Write arithmetic and geometric sequences both recursively and
with an explicit formula, use them to model situations, and translate
between the two forms. ★
Standard #: MAFS.912.F-BF.1.2Archived Standard
Standard Information
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Functions: Building Functions
Cluster: Level 2: Basic Application of Skills & Concepts
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
Content Complexity Rating:
Level 2: Basic Application of Skills & Concepts
-
More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
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Related Resources
Lesson Plan
- 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
- 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
- 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
- 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.
STEM Lessons - Model Eliciting Activity
- 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.