WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name _Kost________ Date 11.12.12 _ Ed line was updated this week X My class webpage was updated this week. X Length of Lesson __5days_ Content Area Workshop 3 _ STAGE I – DESIRED RESULTS LESSON TOPIC: BIG IDEAS: Unit 5: Polynomials: Relations and functions are mathematical relationships that can be represented and analyzed using words, tables, graphs, and equations. Factoring trinomials with leading coefficient of 1 Factoring trinomials with leading coefficient > 1 Factoring polynomials of terms ≥ 4 Factoring special case polynomials 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: A1.1.1.5.2 Factor algebraic expressions, including difference of squares and trinomials. Note: Trinomials are limited to the form ax2+bx+c where a is equal to 1 after factoring out all monomial factors. 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.1.2.1 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. 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 ESSENTIAL QUESTIONS: What is the principle being used when you factor trinomials ? How does this principle carry over from polynomial expressions to polynomials equations ? Can every polynomial be factored ? Why/ why not? What are the special cases of factoring you need to know how to apply ? STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): Students will be able to: VOCABULARY Monomial (2) Binomials (2) Polynomial (2) Coefficient Constant Trinomials Common factors 1. 2. 3. 4. PERFORMANCE TASK: Students will participate in 1. class discussions, 2. guided notes & practice, 3. computer work, 4. whiteboard activities Factor polynomials with simple common factors Factor polynomials with leading coefficient of 1 Factor polynomials with leading coefficient >1 Factor polynomials piecewise by common factors. 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 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 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 Also www.shodor.org has good interactive material Linear Function Machine ASSIGNMENTS: Note: all assignment are from the same page, but different questions are assigned based on grouping by teacher. Weekly blogs Word problem practice from 2008 copy of Algebra 2 (on line form Glencoe.com) Enrichment from 2008 Glencoe ( advanced) Khan Academy videos SCAFFOLDING USED : Chunking Building on Prior knowledge Providing Visual Support Good for Promethean Board use. Truly struggling students will be referred to guidance/SAP (RTI) Using algebra tiles Distributing when subtracting polynomials • Students will be encouraged to stay for or find help with a math teacher during free time, after school, or lunch. Monday Reversing the process of FOIL Note: Reading with Mathematics pages from Grab & Go are especially good for standard classes. • Small group/ flexible grouping will occur if necessary. MINI LESSONS: is a good activity from this site Tuesday Wednesday Thursday Computer lab day Periods 3,4,5,6 only Factoring with higher leading coefficients Practice with all cases of polynomials Friday Parent teacher conference day