Complex Numbers and Quadratic Equations Test

1 teachers like this lesson

Print Lesson

Objective

Students will be able to show what they know about complex numbers and quadratic equations.

Big Idea

Test student on their knowledge of complex numbers and quadratic equations..

Lesson Author

Amelia Jamison

Caldwell, ID

Grade Level

Eleventh grade

Subjects

Math

Algebra

Quadratic Equations

quadratic formula

Standards

HSN-RN.B.3

Explain why the sum or product of 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.

HSN-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.

HSN-CN.A.2

Use the relation i2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

HSN-CN.A.3

(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

HSN-CN.C.7

Solve quadratic equations with real coefficients that have complex solutions.

HSA-SSE.A.2

Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2).

HSA-CED.A.4

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.

Quadratic Equations Test

50 minutes

I always make two versions of a test and pass them out checkerboard style. I ask students to show work on tests or quizzes. This test was based on the learning objectives of each lesson in this unit and reflects the practice test. Please watch the Video Narrative discussing a particularly interesting test question.

This assessment was created with Kuta Software which is an amazing resource for any mathematics teacher.

Puzzles

I offer a variety of Extra Credit puzzle for students who finish early and have no make up work to complete. This includes, but is not limited to; sudoku, mathdoku, logic problems, picture mazes, and pixel puzzles. A couple of my favorites are: Griddlers and Concept is puzzles

Both sites offer a number of free puzzles as well as purchasable books. Pixel Puzzle are a particular favorite. The Mathdoku are also great. They can increase a student's numeracy abilities if done regularly.