Clarifications:
Essential Understandings
Concrete:
- Match i with the
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- 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 =. - 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/subtraction rules for an equation.
- Create an array of objects for the mathematical equation and match the sign positive or negative following multiplication rules for an equation.
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- 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.
- Understand that i in its simplified form changes its sign based on its exponent. For example:
- Use tools, as needed, to multiply two complex numbers.
For example:
Reminder: i² = -1
(a + bi)(c + di) = ac + adi + bci + bdi²
(2 + 3i)(1 + 2i) = 2 + 4i + 3i + 6i²
2 + 7i – 6 = -4 + 7i
| Number: MAFS.912.N-CN.1.AP.2b | 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. |