Access Point #: MAFS.912.F-BF.1.AP.2bArchived Access Point

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Select the function that models the arithmetic sequence written recursively.
Clarifications:

Essential Understandings

Concrete:

  • Create a pattern using manipulatives. For example:

    Image of 3 patterns using triangles.
  • Create a pattern using addition or subtraction.
    For example:

    Image of a pattern using addition.
  • Teacher resource: Click Here
Representation:
  • Understand the following concepts and vocabulary: term, sequence, common difference, initial value, arithmetic, position.
  • Create a pattern using numbers.

    Image o patterns using numbers.
  • Identify the previous term in the sequence begin mathsize 12px style open parentheses a subscript n minus 1 end subscript close parentheses end style.
  • Identify the difference between the terms (d).
  • Substitute values into the formula begin mathsize 12px style a subscript n space equals space a subscript n minus 1 end subscript space plus space d end style.

    Example of finding the 7th term of the arithmetic sequence if the common difference is 4 and the 6th term is 26.
General Information
Number: MAFS.912.F-BF.1.AP.2b
Category: Access Points
Date Adopted or Revised: 06/14
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.

Related Standards

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
1200320: Algebra 1 Honors
1200330: Algebra 2
1200340: Algebra 2 Honors
1201300: Mathematical Analysis Honors
1298310: Advanced Topics in Mathematics (formerly 129830A)
1200500: Advanced Algebra with Financial Applications
1200335: Algebra 2 for Credit Recovery
7912095: Access Algebra 2
1200387: Mathematics for Data and Financial Literacy

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