Imaginary unit i and standard form a + bi

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

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

What you'll learn

Write a complex number in standard form `a + bi`, using `i^2 = -1`, and name its real part `a` and imaginary part `b`
Explain why no real number satisfies `x^2 = -1`, and state the definition `i^2 = -1`
Rewrite `sqrt(-k)` for positive `k` as `i*sqrt(k)`, including cases where `k` is not a perfect square
Classify a number as real (`b = 0`), pure imaginary (`a = 0`), or complex with both parts nonzero, recognising every real number as complex
Solve `a + bi = c + di` for unknowns by matching real and imaginary parts

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Slides

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