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

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Write arithmetic sequences with an explicit formula. begin mathsize 12px style a subscript n space equals space a subscript 1 space plus space d open parentheses n space minus space 1 close parentheses end style
Clarifications:

Essential Understandings

Concrete:

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

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

    Image of patterns using symbols and numbers.
  • Identify the first term in the sequence (begin mathsize 12px style a subscript 1 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 1 space plus space d open parentheses n space minus space 1 close parentheses end style) for the first term, common difference and selected terms to find a specific number in the sequence.

    An example arithmetic sequence.
General Information
Number: MAFS.912.F-BF.1.AP.2a
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

Related Resources

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Student Resources

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Parent Resources

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