Curriculum / Math / 11th Grade / Unit 2: Quadratics / Lesson 8
Math
Unit 2
11th Grade
Lesson 8 of 11
Jump To
Lesson Notes
There was an error generating your document. Please refresh the page and try again.
Generating your document. This may take a few seconds.
Are you sure you want to delete this note? This action cannot be undone.
Add, subtract, and multiply complex numbers.
The core standards covered in this lesson
N.CN.A.1 — Know there is a complex number i such that i² = -1, and every complex number has the form a + bi with a and b real.
N.CN.A.2 — Use the relation i² = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
The foundational standards covered in this lesson
N.RN.B.3 — Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
This is a complex number because it has a real part and an imaginary part:
$${{3+2i}}$$
What is the sum of $${{3+2i}}$$ and $${2+4i}$$?
What is the product of $${(3+2i)}$$ and $${(2+4i)}$$?
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Evaluate the following complex expressions:
$${(8+3i)-(6-2i)}$$
$${(8+3i)(6-2i)}$$
$${(2+i)^2+(6+2i)}$$
Which of the following results in a real number? Select all that apply.
$${i^2}$$
$${(2-i)(2+i)}$$
$${2i^3}$$
$${3i+2i}$$
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Next
Compare, analyze, and solve quadratic functions in projectile motion application problems.
Topic A: Features of Quadratic Functions
Identify features of quadratic functions from equations and use these features to graph quadratic functions. Derive the equation of a parabola.
Standards
F.IF.C.7.AF.IF.C.8.AG.GPE.A.2
Identify the y-intercept and vertex of a quadratic function written in standard form through inspection and finding the axis of symmetry. Graph quadratic equations on the graphing calculator.
F.IF.C.7.AF.IF.C.8.A
Write a quadratic equation in intercept form by factoring. Describe the features of a quadratic function written in intercept form.
A.SSE.A.2A.SSE.B.3.AF.IF.C.8.A
Transform a quadratic function in vertex form. Describe the domain, range, and intervals where the function is increasing and decreasing.
F.BF.B.3F.IF.B.4F.IF.C.9
Solve quadratic equations written in vertex form and describe graphical features from vertex form.
A.REI.A.1A.REI.B.4.B
Complete the square to convert an equation written in standard form to an equation written in vertex form.
A.REI.B.4.BA.SSE.B.3.B
Create a free account to access thousands of lesson plans.
Already have an account? Sign In
Topic B: Imaginary Solutions and Operating with Complex Numbers
Identify solutions that are non-real from a graph and an equation using the discriminant. Define imaginary and complex numbers.
A.REI.B.4.BN.CN.A.1N.CN.C.7
N.CN.A.1N.CN.A.2
Topic C: Applications, Systems, and Inverse with Quadratics
F.BF.A.1F.BF.B.3F.IF.B.6F.IF.C.8.AF.IF.C.9
Describe features of quadratic functions in the context of a word problem. Evaluate and use function notation to describe contextual situations.
F.BF.A.1F.IF.B.6F.IF.C.8.AF.IF.C.9
Identify solutions to a system of a quadratic function and a linear function graphically and algebraically.
A.REI.A.1A.REI.C.7A.REI.D.11
See all of the features of Fishtank in action and begin the conversation about adoption.
Learn more about Fishtank Learning School Adoption.
Yes
No
We've got you covered with rigorous, relevant, and adaptable math lesson plans for free