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Use properties to combine like terms of complex numbers in the form of a + bi with a and b being real numbers.
Clarifications:
Essential Understandings
Concrete:
- Use manipulatives to represent terms for the purpose of simplifying and combining like terms.
- Use manipulatives to combine like terms (i.e., demonstrate 5i + 3i by combining like manipulatives).
- Create an array of objects for the mathematical equation and match the answer symbol (+ or -) following addition rules for an equation.
- Create an array of objects for the mathematical equation and match the answer symbol (+ or -) following subtraction rules for an equation.
- Understand the following concepts, symbols, and vocabulary for: like terms, combine, variables, positive integer, negative integer, real number, imaginary number, complex number, squares, square roots.
- Use tools, as needed, to add and subtract like terms.
For example:
(a+bi)+(c+di)=(a+c)+(b+d)i
(2 + 5i) + (5 + 3i) =(7 + 8i)
General Information
Number: MAFS.912.N-CN.1.AP.2a
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
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