Student Objectives (Competencies/Outcomes): Students will be able to: Represent functions (linear and non-linear) in multiple ways, including tables, algebraic rules, graphs, and contextual situations Make connections among these representations. Choose the appropriate functional representation to model a real world situation Solve problems relating to that situation. Use algebraic properties and processes in mathematical situations and apply them to solve real world problems. Essential Questions: How can we show that algebraic properties and processes are extensions of arithmetic properties and processes, and how can we use algebraic properties and processes to solve problems? How do you decide which functional representation to choose when modeling a real world situation, and how would you explain your solution to the problem? Vocabulary: monomial constant coefficient degree power standard notation scientific notation Polynomial like terms trinomial binomial Factor, greatest common factor Rationalizing the denominator Like radical expressions Conjugates Radical equations Extraneous solutions Radical inequality Imaginary unit Pure imaginary number Complex number Absolute value Complex conjugates STAGE II – ASSESSMENT EVIDENCE Performance Task: Students will demonstrate adequate understanding via a chapter test. Formative Assessments: Pre-assessments, open-ended questions, Think-Pair-Share STAGE III – LEARNING PLAN Materials and Resources: Interventions:
Textbook, notes Flexible grouping, students will be encouraged to attend math lab Instructional Procedures: Monday Tuesday Wednesday Thursday Friday Date: 4/13 Day : A Date: 4/14 Day: B Date: 4/15 Day: A Date: 4/16 Day: B Date: 4/17 Day:A Procedures “Do Now” – Solve radical equations. “Mini Lesson” – Show answers to homework problems and explain any that were missed. Begin discussion on imaginary and complex numbers and show how to simplify using chart for I, i2, i3, and i4. “Do Now” – radical equations. “Mini Lesson” – Give guided notes on imaginary and complex numbers. Work on guided practice problems in notebooks in section 5-9 part 1. Monitor students beginning their homework problems. “Do Now” – Solve radical equations. “Mini Lesson” – Show answers to homework problems and explain any that were missed. Discuss complex conjugates and show how to simplify fractions with complex numbers in the denominator. Work on guided practice problems in notebooks in 5-9 part 2. Monitor students beginning their homework problems. “Do Now” – Simplify imaginary and complex numbers. “Mini Lesson” – Show answers to homework problems and explain any that were missed. Work on odd problems form page 289 as guided practice. Monitor students beginning their homework problems (evens from worksheet page 289) “Do Now” – Multiply imaginary and complex numbers. “Mini Lesson” – Show answers to homework problems and explain any that were missed. Work on some problems form page 278 as guided practice. Monitor students beginning their homework problems (evens from worksheet page 290) Assignments READ SECTION 5-9 5-9 PART 1 NB HW problems 5-9 PART 2 NB HW problems 5-9 ws pg 289 5-9 ws pg 290 *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections