Access Point #: MAFS.912.A-SSE.2.AP.4a (Archived Access Point)


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Use the formula for the sum of finite geometric series to solve problems.
begin mathsize 12px style a open parentheses fraction numerator 1 space minus space r to the power of space n end exponent over denominator 1 space minus space r end fraction close parentheses end style

Clarifications:

Essential Understandings

Concrete:

  • List the terms for a geometric series using a table or a graphic organizer.
    (For example: 1, 3, 9, 27…)

    Example image of geometric series
  • Use manipulatives to find the sum of the terms of a geometric series.
    (For example: The sum of the 4 terms is 40.)

    Image of geometric series
  • Identify the first term of a geometric series.
  • Identify the common ratio of a geometric series.
  • Identify the desired number of terms for the summation.
Representation:
  • Understand the following concepts and vocabulary: a partial sum of an infinite series, finite, geometric series, common ratio, terms, initial value, summation, arithmetic series, exponent.
  • Determine the values to substitute into the formula for the sum of a finite geometric series.

    Example for determine the values to substitute into the formula for the sum of a finite geometric series.
  • Use a tool to calculate the sum of a finite geometric series (e.g., calculator, Click Here)
  • Substitute values into the formula for the sum of a finite geometric series.

    Examples for substituting values into the formula for the sum of a finite geometric series.

Number: MAFS.912.A-SSE.2.AP.4a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Write expressions in equivalent forms to solve problems. (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

Name Description
MAFS.912.A-SSE.2.3:

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

  1. Factor a quadratic expression to reveal the zeros of the function it defines.
  2. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
  3. Use the properties of exponents to transform expressions for exponential functions. For example the expression can be rewritten as to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.



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