1. IMPACT SAMR Cover Sheet Task OverviewLearning Objective(s)Suggested Technology You will write and graph 2 equations; one with real and one with imaginary roots. Write equations with real or imaginary roots. Discuss other ways to determine whether an equation has real or imaginary roots. Stoodle Desmos Use Stoodle to discuss complex numbers Post Screenshot of Stoodle inBlackboard and view 2 others. Explain whether a graph has real or imaginary roots. Stoodle Blackboard Use quizizz to work problems with operations on complex numbers. Work problems that involve operations with imaginary numbers Simplify radicals that contain a negative number Quizizz Explain what an imaginary number is. Define imaginary number Explain the definition List the powers of i Microsoft Word Louisiana Math Standard (include description): N-CN.A.1. Know that there is a complex number i such that I 2 = -1, and every complex number has the form a = bi with a and b real. Teacher: Dina Pierson MODIFICATION Technology allows for significant task redesign.. REDEFINITION Technology allows for the creation of new tasks that were previously not conceivable. AUGMENTATION Technology acts as a direct tool for substitution with some functional improvement. SUBSTITUTION Technology acts as a direct tool for substitution with no real change. transformation enhancement

2. Are Imaginary Numbers Really Imaginary? 1.Open a word document and explain in your own words what an imaginary number is. The explanation should be clear enough that anyone reading it would understand. 2.Explain the difference between the definition of imaginary that we have used to describe things that really don’t exist and the definition of imaginary as it applies to imaginary numbers. 3.List the progression of the powers of i. 4.List the rules for addition, subtraction, and multiplication of complex numbers. Include an example of each. 5.Explain what a conjugate is and their use in dividing complex numbers. 6.Save your document as firstname_lastname_hour on the h drive. Explain what an imaginary number is. This task uses: Learning Objective(s): Define imaginary number Explain the definition List the powers of i S SUBSTITUTION Technology acts a direct substitute, with no functional improvement

3. Practice Makes Perfect. 1.Go to www.join.quizizz.com and enter the following code:www.join.quizizz.com Use quizizz to work problems with operations on complex numbers. This task uses: Learning Objective(s): Work problems that involve operations with imaginary numbers Simplify radicals that contain a negative number A AUGMENTATION Technology acts as a direct tool for substitution with some functional improvement.

4. Real or Imaginary Roots? 1.Each group will open their Stoodle which will contain an assortment of graphs. 2.Using the chat feature, you should discuss whether that graph has real or imaginary roots and explain why. 3.Student 1 will take a screenshot of their Stoodle and post it to the Blackboard Discussion titled Real or Imaginary Roots. 4.Review 2 other postings and make comments to show agreement with their selection or make suggestions. Use Stoodle to discuss complex numbers. This task uses: Learning Objective(s): Explain whether a graph has real or imaginary roots. M MODIFICATION Technology allows for significant task redesign. Blackboard

5. Writing an Equation with Real or Imaginary Roots 1.Within your group, write 2 quadratic equations. One of these equations should have real roots and one should have imaginary roots. 2.You will graph each of these equations in desmos to verify that it has the intended root (real or imaginary). a. Go to https://www.desmos.com and click on the icon in the upper left hand corner and select f(x) expression.https://www.desmos.com b. Enter your equation. c. Click on the icon to set the correct viewing window. 3.Return to Stoodle and enter your equations. 4.Look at the equations that the other groups have entered, and answer the following question: 3.How can you tell what type of roots a quadratic equation will have without graphing the equation? You will write and graph 2 equations; one with real and one with imaginary roots. This task uses: Learning Objective(s): Write equations with real or imaginary roots. Discuss other ways to determine whether an equation has real or imaginary roots. R REDEFINITION Technology allows for the creation of new tasks that were previously not conceivable.