Name: John Toney Date: 3-9-15 WOODLAND HILLS SECONDARY LESSON PLANS Content Area: Mathematics Length of Lesson: 25 days STAGE I – DESIRED RESULTS Lesson Topic (Modules, if applicable): Unit 5 : Polynomials *Scientific Notation *Multiplying Monomials *Dividing Monomials *Powers of Powers *Adding Polynomials *Subtracting Polynomials *FOIL Binomials *Multiplying Polynomials *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 Big Ideas: KEYSTONE ANCHORS: A2.1.1.1 Represent and/or use imaginary numbers in equivalent forms (e.g., square roots and exponents). 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. 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.D.2.2.1 Express numbers and/or simplify expressions using scientific notation (including numbers less than 1). 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): Functions and multiple representations Algebraic properties and processes Express numbers in scientific notation Apply the laws of exponents to simplify expressions Add, subtract, multiply, and divide polynomials Factor polynomials using various factoring techniques, including Finding Greatest Common Factor Difference of Two Squares Sum and Difference of Two Cubes Perfect Square Trinomials General Trinomials Factoring by grouping 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 Solve 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 STAGE II – ASSESSMENT EVIDENCE Performance Task: Students will demonstrate adequate understanding via a chapter test. Materials and Resources: Textbook, notes Formative Assessments: Pre-assessments, open-ended questions, Think-Pair-Share STAGE III – LEARNING PLAN Interventions: Flexible grouping, students will be encouraged to attend math lab “Mini Lesson” Check homework on factoring trinomials. Give notes on factoring the sum and difference of cubes. Monitor students working on worksheet involving sum and diff. of cubes. Finish sum and diff of cube worksheet. Tuesday Date: 3/10 Day: B “Do Now” – Factor a trinomial into two binomials. “Mini Lesson” Check homework on factoring sum or difference of cubes. Show class through examples how to reduce polynomial fractions by factoring numeratior and denominators then cancelling out the common factors. Work on pg 258 1st column with students for practice. Assign 2nd column for homework. Finish ws pg 258 2nd column Wednesday Date: 3/11 Day: A “Do Now” – Factor a poly. Thursday Date: 3/12 Day: B “Do Now” – Factor a poly. Friday Date: 3/13 Day: A “Do Now” – Factor a poly. “Mini Lesson” Check homework on ws pg 258. Students will work on 3rd column in class and then ws pg 257. “Mini Lesson” Check homework on ws pg 258. Students will work on worksheets involving all types of factoring. Monitor students working on ws. Pg 259. “Mini Lesson” Check homework on ws pg 259. Students will work on worksheets involving all types of factoring. Monitor students working on ws. Pg 260. Finish ws pg 259 Finish ws pg 260 Finish ws pg 257 and ws pg 258 3rd column Assignments Procedures Instructional Procedures: Monday Date: 3/9 Day : A “Do Now” – Factor a trinomial into two binomials. *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections