WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name Witon Date 10-7-14 Length of Lesson 1 week Content Area Algebra 3 Edline was updated this week: Yes My class website was updated this week: Yes - STAGE I – DESIRED RESULTS LESSON TOPIC: Radical eequation BIG IDEAS: M11.A.1.1.2 Find the square root of an integer using either a calculator or estimation (integer may or may not be a perfect square – answer may be a range of values). M11.A.1.1.4 of 24). Simplify square roots (e.g., the square root M11.A.2.2.1 Simplify expressions involving positive and negative exponents, roots and/or absolute value (may contain all types of real numbers - exponents should not exceed 10). UNDERSTANDING GOALS (CONCEPTS): Students learn how to simplify and solve equations involving roots, radicals, and rational exponents. Students will perform operations with complex numbers. ESSENTIAL QUESTIONS: VOCABULARY: STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): Square root, nth root, principal root, rationalizing the denominator, like radical expressions, conjugates, radical equation, extraneous solution, imaginary unit, pure imaginary number, complex number, absolute value, complex conjugates. Students will be able to: Why is the root of a number? How do you solve an equation involving a radical? What does the verb simplify mean in math? How do you simplify a radical? What does it mean to rationalize a denominator? What are imaginary numbers? What are complex numbers? What type of operations can be completed using complex numbers? 1. Simplify radical expressions ( 2 days) 2. Add, subtract, multiply, and divide radical expressions ( 3. Write expressions with rational exponents in radical form and vice versa 4. Simplify and perform operations on expressions involving rational exponents 5. Solve radical equations ( 3 days) 6. Add, subtract, multiply, and divide complex numbers Review, quiz, computer activities, and test STAGE II – ASSESSMENT EVIDENCE PERFORMANCE TASK: Students will participate in class discussions, guided practice, computer work, and activities OTHER EVIDENCE: Daily warm up or exit polls , homework, Keystone Diagnostic Tool, Study Island think through math Keystones, unit tests, quizzes, and other formative assessments. STAGE III: LEARNING PLAN INSTRUCTIONAL Daily: Check for understanding using warmup, homework, or formative assessment questioning to determine whether to continue as needed or do interventions as needed. ( model, spiral scaffolding, instruct/reteach, as needed) MINI LESSONS Mini lessons will vary daily based upon student needs and informal assessments. We will use Active Engagement and Scaffolding within each lesson. Examples: Factor trees Perfect squares Right triangles Fractions exponents Guided Practice: Note Taking, Modeling, Whole Class Response, Partnering, Higher Level Thinking Skills Guided Notes, Chunking, Build on prior Knowledge, Teacher Prompting, Visual Support Independence Practice: Check for understanding using practice pages and text as well as school/SAS developed activities. Summative/Formative Assessments: Quizzes as needed for understanding. Unit test is summative as well as cumulative for constant knowledge retention. Students will actively participate in class examples, discussion, class work, whiteboards, open ended assessments, graphic organizers, exit tickets, daily warm ups, homework, Study Island and, unit tests, quizzes, and other formative assessments. MATERIALS AND RESOURCES: Radicals ( Glencoe Text ) Warm ups & Exit polls Homework (daily) Guided practice and Enrichment from Glencoe Grab & Go workbooks and Text Additional materials as needed enrichment INTERVENTIONS: Think through math Study Island A+ Math Math Lab Keystone Diagnostic Tool ASSIGNMENTS: Note: all assignments may be modified based upon students needs. 5-5 5-6 practice worksheets and text problems 5-7 practice worksheets and text problems Quiz on 5-6 & 5-7 5-8 practice worksheets and text problems 5-9 practice worksheets and text problems Quiz 5-8 and 5-9 On-line practice test and self check quizzes Unit 2 Test Enrichment, remediation as needed Reflections: Check for understanding using do now, homework, or formative assessment questioning to determine whether to continue as needed or do interventions as needed. (Model, spiral scaffolding, instruct/reteach as needed) Teacher reflection: