WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name _T. King ________ Date 1.28.13 _ Ed line was updated this week X My class webpage was updated this week. X Length of Lesson __2-3 weeks_ Content Area Workshop 2 _ STAGE I – DESIRED RESULTS LESSON TOPIC: BIG IDEAS: Unit 6: Polynomials: Relations and functions are mathematical relationships that can be represented and analyzed using words, tables, graphs, and equations. Monomials and operations Polynomials, adding and subtracting Families of functions exhibit properties and behaviors that can be recognized across representations. Functions can be transformed, combined, and composed to create new functions in mathematical and real world situations. KEYSTONE ANCHORS: A2.1.1.1 Represent and/or use imaginary numbers in equivalent forms (e.g., square roots and exponents). A2.1.1.2 Apply the order of operations in computation and in problem‐solving situations. A2.1.2.1 Use exponents, roots, and/or absolute values to represent equivalent forms or to solve problems. A2.1.2.2 Simplify expressions involving polynomials. A2.1.3.1 Write and/or solve non‐linear equations using various methods. A2.2.1.1 Analyze and/or use patterns or relations. A2.2.2.1 Create, interpret, and/or use polynomial, exponential, and/or logarithmic functions and their equations, graphs, or tables. . ELIBIBLE CONTENT: 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). M11.A.1.1.3 Express numbers and/or simplify expressions using scientific notation (including numbers less than 1). M11.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). M11.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. M11.A.1.2.3 Simplify algebraic fractions. M11.A.2.2.2 Simplify expressions involving multiplying with exponents (e.g., x6 x7 = x13), powers of powers (e.g., (x6)7=x42) and powers of products (2x2)3=8x6 (positive exponents only). UNDERSTANDING GOALS (CONCEPTS): Basic operations with monomials, polynomials, radical expressions, and complex numbers Using the distributive property Using properties of exponents Using properties of radicals Solving polynomial equations by factoring Solving radical equations Solving radical inequalities ESSENTIAL QUESTIONS: How can you extend algebraic properties and processes to quadratic, exponential and polynomial expressions and equations and then apply them to solve real world problems? What are the advantages/disadvantages of the various methods to represent exponential functions (table, graph, equation) and how do we choose the most appropriate representation? VOCABULARY Monomial (2) Binomials (2) Polynomial (2) FOIL (1) Factor STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): Students will be able to: 1. Express numbers in scientific notation.(2 days ) 2. Apply the laws of exponents to simplify expressions. (2 days) 3. Add, subtract, multiply, and divide polynomials. (6 days) 4. Review, quizzes, and test ( 2 days) STAGE II – ASSESSMENT EVIDENCE OTHER EVIDENCE: Daily warm up or exit polls , homework, Keystone Diagnostic Tool, Study Island and Glencoe.unit tests, quizzes, formative assessments. Student work in portfolio PERFORMANCE TASK: Students will participate in 1. class discussions, 2. guided notes & practice, 3. computer work, 4. whiteboard activities STAGE III: LEARNING PLAN INSTRUCTIONAL PROCEDURES: (Active Engagement, Explicit Instruction, Metacognition, Modeling, Scaffolding) ACTIVE ENGAGEMENT USED: Cooperative learning Think pair share Notetaking Higher level thinking DESCRIBE USAGE Students will work from basic procedures to solve equations Solving world problems Solving real world applications Proving properties of algeb SCAFFOLDING USED : Chunking Building on Prior knowledge Providing Visual Support MINI LESSONS: Using algebra tiles Distributing when subtracting polynomials Quadratic formula song MATERIALS AND RESOURCES: INTERVENTIONS: Unit 1 Chapter : Systems of Equations and Inequalities ( Glencoe Text ) Study Island A+ Math Math Lab Khan Academy Videos Keystone Diagnostic Tool Warm ups & Exit polls(daily) Homework (daily) Guided practice and Enrichment from Glencoe Grab & Go workbooks Curriculum Binder: Algebra 1 before books This has very good additional practice for students in these area National Library of Virtual Manipulatives is an excellent site for use with promethean boards for this unit. On line activities are very good in this chapter for finding a pattern and making predictions based on your observations. Glencoe teacher works…chalkboard is Good for Promethean Board use. Also www.shodor.org has good interactive material Linear Function Machine is a good activity from this site Truly struggling students will be referred to guidance/SAP (RTI) • Small group/ flexible grouping will occur if necessary. • Students will be encouraged to stay for or find help with a math teacher during free time, after school, or lunch. ASSIGNMENTS: Note: all assignment are from the same page, but different questions are assigned based on grouping by teacher. §5-1 §5-2 §5-3 §5-4 §5-5 §5-6 §5-7 §5-8 §5-9 Weekly blogs Word problem practice from 2008 copy of Algebra 2 (on line form Glencoe.com) Enrichment from 2008 Glencoe ( advanced) Khan Academy videos pp 226-228 pp 231-232 pp 236-238 pp 242-244 pp 248-249 pp 254-256 pp 260-262 pp 266-267 pp 273-275 Note: Reading with Mathematics pages from Grab & Go are especially good for standard classes. Monday Combining like terms in polynomials Tuesday Wednesday Thursday Friday Computer lab day Adding and subtracting polynomials Adding and subtracting polynomials Computer lab day