# How Do I...?

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## Objective

SWBAT use arithmetic properties to manipulate complex equations.

#### Big Idea

Back to the basics...your students will feel confident as they use well honed arithmetic skills to simplify complex expressions in a challenge card activity

15 minutes

## Put it into Action

35 minutes

For this part of the lesson you will want a copy of the Complex Arithmetic worksheet.  You can use it just as a worksheet or you can make the problems into flash cards with the answers on the back.  I hand-write these on 3x5 notecards cut in half.  If you use flash cards you may also want to have your students use whiteboards and markers or scratch paper.  I explain to my students that they get to explore adding, subtracting, and multiplying complex numbers by challenging each other with flash cards.  I say that they can either use whiteboards or scratch paper and will be taking turns working solutions then checking each other.  I ask if there are any questions, then distribute the card sets.  While my students are working I walk around offering encouragement and redirection as needed. (MP1) Using flash card sets, I've found that my students will go through the problems more than once and are more willing to work to build their skills with complex numbers than if I just had them complete the same problems as a worksheet.

## Wrap it Up

5 minutes

To close this lesson I challenge my students to create one additional complex number arithmetic problem of their choice to "stump the teacher".  I say that the problem has to fit all the rules they've learned about complex numbers and must be legible.  I give them each a notecard to write their problem on and tell them that I'll return card with answer tomorrow if I can figure it out! This really gives my students incentive to think about complex numbers as they try to come up with a way to stump me. (MP2)  I explain more about why I use this for closing the lesson in my  video.