Access Point #: MAFS.912.N-CN.1.AP.1b (Archived Access Point)


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Identify a number in the form a + bi as a complex number.

Clarifications:

Essential Understandings

Concrete:

  • Match i with the begin mathsize 12px style square root of negative 1 end root end style.
    Table showing Powers of i with their simplified imaginary numbers.
  • Match the parts of a complex number with a label.
    e.g., a + bi (a is the real part and bi is the imaginary part)
    i =  begin mathsize 12px style square root of negative 1 end root end style.
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Representation:
  • Understand the following vocabulary and concepts: like terms, positive integer, negative integer, real number, imaginary number, complex number, squares, square roots.
  • Understand that a complex number is a combination of a real number and an imaginary number. e.g., a + bi (a is the real part and bi is the imaginary part)
    i =  begin mathsize 12px style square root of negative 1 end root end style.
  • Identify the parts of the complex number. For example:

    A table with three headers and three rows underneath with this data: Complex Numbers

Number: MAFS.912.N-CN.1.AP.1b Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Perform arithmetic operations with complex numbers. (Algebra 2 - Additional 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.N-CN.1.1: Know there is a complex number i such that i² = –1, and every complex number has the form a + bi with a and b real.



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