WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name _ Witon Date 4-28-13 Edline was updated this week: Yes My class website was updated this week: Yes Length of Lesson 14 days Content Area Algebra 2 STAGE I – DESIRED RESULTS LESSON TOPIC: Rational expressions BIG IDEAS: (Content standards, assessment anchors, eligible content) objectives, and skill focus) M11.D.2.2.1 Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial X a trinomial). M.11.A.1.2.1 Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0). M.111.A.1.2.2 Find the Greatest Common Factor (GCF) for sets of monomials and/or factor polynomial expressions using the greatest common monomial factor. M.11.A.1.2.3 Simplify algebraic fractions M11.A.2.2.2 Simplify expressions involving multiplying with exponents, powers of powers, and powers of products (postive exponents only). UNDERSTANDING GOALS (CONCEPTS): ESSENTIAL QUESTIONS: Students will understand: Add, subtract,ultiply, divide and simplify rational expressions complex fractions with fractional numerators and denominators. . Identify domain and range of rational functions Factor polynomials using various factoring techniques Factor polynomials using various factoring techniques, including Greatest Common Factor, Difference of Two Squares Perfect Square Trinomials General Trinomials VOCABULARY: * *Rational expression, complex fraction *Asymptote, rational function, continuity, *Direct variation, constant of variation, joint variation, inverse varation *Rational equation How is scientific notation useful in economics? How do square roots apply to eceanogrphy? How does factoring apply to geometry? how do polynomials apply to financial situations? STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): Factor polynomials using various factoring techniques to Add, subtract,ultiply, divide and simplify rational expressions complex fractions with fractional numerators and denominators Choose the appropriate functional representation to model a real world situation and solve problems relating to that situation. Use algebraic properties and processes in mathematical situations and apply them to solve real world problems. *Polynomial, terms, like terms, trinomial, binomial *Factor, greatest common factor STAGE II – ASSESSMENT EVIDENCE PERFORMANCE TASK: Students will demonstrate an adequate understanding via a chapter test. participate in class discussions, guided practice, computer work, FORMATIVE ASSESSMENT: think pair share thumbs up profolio Students will actively participate in class examples, discussion, classwork, whiteboards, open ended assessments, graphic organizers, exit tickets, daily warm ups, homework, Study Island and, unit tests, quizzes, and other formative assessments. STAGE III: LEARNING PLAN INSTRUCTIONAL PROCEDURES: (Active Engagement, Explicit Instruction, Metacognition, Modeling, Scaffolding) Active Engagement Note Taking, Modeling, Whole Class Response, Partnering, MATERIALS AND RESOURCES: INTERVENTIONS: Textbook Notebook Projector Warm ups & Exit polls Struggling students will be referred to guidance/SAP (RTI) Small group/ flexible grouping will occur when ASSIGNMENTS: Various Worksheets p. 476-478 p. 481-484 p. 488-490 p. 495-498 p. 501-507 Higher Level Thinking Skills Scaffolding Guided Notes, Chunking, Build on prior Knowledge, Teacher Prompting, Visual Support Daily: Warm up will include a spiraling review of prior knowledge to include the upcoming lesson 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) Algebra II is always building on prior knowledge. Previously-learned algebra skills are necessary for mastery of current material MINI LESSON: *Scientific Notation *Multiplying Monomials *Dividing Monomials *Powers of Powers *Adding Polynomials *Subtracting Polynomials *FOILing Binomials *Multiplying Polynomails *Dividing a Polynomial by a Monomial *Dividing Polynomials *Factoring Out a GCF *Factoring by Grouping *Factoring a Trinomial a =1 *Factoring a General Trinomial *Difference of Squares Homework Guided practice and Enrichment from Glencoe Grab & Go workbooks Keystones necessary. Study Island A+ Math Math Lab. Think Through Program