Learning Resource Type

Learning Activity

Complex Numbers

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This learning activity will be used at the end of a lesson on complex numbers. The student will use the relation i2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

This activity results from the ALEX Resource Development Summit.

    Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

    MA19.A2.1a

    Identify numbers written in the form $a + bi$, where $a$ and $b$ are real numbers and $i^2 = -1$, as complex numbers.

    Phase

    After/Explain/Elaborate
    Learning Objectives

    Learning Objectives

    I can use the relation i2=-1.

    I can use the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

    Activity Details

    This activity will be used at the end of a lesson on complex numbers. Students will complete the activity Complex Numbers.  This activity provides the teacher and students with a final check to assess complex numbers. Students will complete this activity individually.

    Assessment Strategies

    Assessment Strategies

    The activity Complex Numbers can be used to access the student's ability to use the relation i2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

    Variation Tips

    The learning activity Complex Numbers can be shortened to use the questions as exit slips.

    Approximate Duration

    Total Duration

    16 to 30 Minutes

    Background and Preparation

    Background / Preparation

    Students will need to know how to use the relation  i2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. The teacher can add the activity to Google Classroom for the students to view.  The teacher can copy the activity Complex Numbers for the students to write on and turn in.

    Digital Tools / Resources

    ALSDE LOGO