Complex conjugates

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

"N 704. Apply properties of complex numbers and the complex number system" "N 606. Multiply two complex numbers" "N 504. Exhibit some knowledge of the complex numbers"

"N 704. Apply properties of complex numbers and the complex number system"
"N 606. Multiply two complex numbers"
"N 504. Exhibit some knowledge of the complex numbers"

What you'll learn

Divide two complex numbers and write the quotient in standard form `a + bi`, by multiplying numerator and denominator by the conjugate of the denominator
Write the conjugate of any complex number, including the pure-imaginary and purely-real cases
Compute `(a+bi)(a-bi) = a^2 + b^2` and explain why the result is real and non-negative
Give the conjugate-pair roots of a real-coefficient quadratic with negative discriminant, including the second root when one is given

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