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 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 Terms 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 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: 3/23 Day : A Date: 3/24 Day: B Date: 3/25 Day: A Date: 3/26 Day: B Date: 3/27 Day: A Procedures “Do Now” – Simplify problems involving taking roots of numbers and/or variables “Mini Lesson” – Give guided notes on finding roots of real number expressions. Show class examples and monitor students beginning their homework problems. “Do Now” – Simplify of variable expressions “Mini Lesson” – Show answers to homework problems and explain any that were missed. Give guided notes on the product and quotient properties and show how to simplify radicals involving variable expressions. Monitor students beginning their homework problems. “Do Now” – Simplify roots of variable expressions “Mini Lesson” – Show answers to homework problems and explain any that were missed. Give guided notes on writing expressions with rational exponents in radical form and vise versa. And simplify expressions in exponential or radical form. Monitor students beginning their homework problems. “Do Now” – Simplify roots of variable expressions “Mini Lesson” – Show answers to homework problems and explain any that were missed. Give guided notes on writing expressions with rational exponents in radical form and vise versa. And simplify expressions in exponential or radical form. Monitor students beginning their homework problems. “Do Now” – add or subtract radical expressions “Mini Lesson” – Show answers to homework problems and explain any that were missed. Give guided notes on adding and subtracting radical expressions and simplifying fractions by multiplying by the conjugate. Simplify first before trying to add. Monitor students beginning their homework problems. Assignments 5-5 NB HW problems 5-5 ws pg 265 5-6 Part 1 NB HW problems 1st 4 only 5-6 Part 1 NB HW problems Finish the rest starting with problem number 5 5-6 Part 2 NB HW problems *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections