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Standard - 2.2.A2.C

Evaluate numerical expressions of complex numbers that include the four basic operations and operations of powers, opposites, conjugates, and absolute values.

Eligible Content:
5 Total

Assessments

Materials & Resources

Assessment Anchor - A2.1.1
Operations with Complex Numbers
- Anchor Descriptor - A2.1.1.1 Represent and/or use imaginary numbers in equivalent forms (e.g., square roots and exponents).
  - Eligible Content - A2.1.1.1.1
    Simplify square roots in terms of i. (e.g., √–24 = 2i√6).
    
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  - Eligible Content - A2.1.1.1.2
    Simplify/evaluate expressions involving imaginary numbers powers of i (e.g., i⁶ + i³ = –1 + i).
    
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- Anchor Descriptor - A2.1.1.2 Apply the order of operations in computation and in problem-solving situations.
  - Eligible Content - A2.1.1.2.1 Add and subtract complex numbers(e.g., (7 – 3i) – (2 + i) = 5 – 4i).
    
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  - Eligible Content - A2.1.1.2.2 Multiply and divide complex numbers (e.g., (7 – 3i)(2 + i) = 17 + i).
    
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Assessment Anchor - A2.1.2
Non-Linear Expressions
- Anchor Descriptor - A2.1.2.1 Use exponents, roots and/or absolute values to represent equivalent forms or to solve problems.
  - Eligible Content - A2.1.2.1.1 Use exponential expressions to represent rational numbers.
    
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  - Eligible Content - A2.1.2.1.2 Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers - exponents should not exceed power of 10).
    
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  - Eligible Content - A2.1.2.1.3
    Simplify/evaluate expressions involving multiplying with exponents (e.g. x⁶ * x⁷ = x¹³), powers of powers (e.g., (x⁶)⁷=x⁴²) and powers of products (2x²)³=8x⁶(limit to rational exponents).
    
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  - Eligible Content - A2.1.2.1.4
    Simplify or evaluate expressions involving logarithms and exponents (e.g. log₂8 = 3 or log₄2 = ½).
    
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- Anchor Descriptor - A2.1.2.2 Simplify expressions involving polynomials.
  - Eligible Content - A2.1.2.2.1
    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax²+bx+c where a is not equal to 0).
    
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  - Eligible Content - A2.1.2.2.2 Simplify rational algebraic expressions.
    
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