NAME Tyler Pollock MATH LESSON PLAN DATE 27 March 2012 SUBJECT: Algebra I TOPIC: Factoring any factorable Trinomial GRADE: 7 TIME/PERIOD: 50 minutes OBJECTIVES: SWBAT - identify greatest common factors of terms. SWBAT – factor any factorable trinomial with integral coefficients. SWBAT – associate vocabulary words with mathematical concepts. STATE STANDARDS (COMMON CORE STANDARDS) Core Standard #4 – Polynomials. Multiply polynomials, factor polynomials, and divide a polynomial by a monomial. Core Standard #5 – Quadratic Equations and Functions. Solve quadratic equations by graphing, factoring, and using the quadratic formula. Graph quadratic functions and understand the relationship between its zeros and the x-intercepts of its graph. Solve problems that can be modeled using quadratic equations. ELL STANDARD ESL Standard 7.2 – Language minority students will listen, speak, read, and write to negotiate and express meaning. TIME TEACHER ACTIVITY 5 Anticipatory set-the hook min The students already know two different methods of factoring trinomials. Give two problems on the board, one straightforward and easily factored, and one with very large, composite coefficients. Students will realize that they need a new method or this problem will take forever to solve. STUDENT ACTIVITY MATERIALS Paper, pencil With a partner, try to solve the problems. The first should be solved easily, nobody should get the second. 15 min Instruction LECTURE: Show kids the written instructions of the factor by grouping method and have them write the steps down. Begin simplifying some expressions on the board using the aforementioned steps and constantly looking back to the steps and making sure the difference between each step is clear. 10 min 14 min Practice Guided: Read two problems out loud to the students, one of medium difficulty and one very difficult, and have the students correctly write them simplify them. When everyone is finished come back and work through the problems together. Independent: Factoring trinomials homework sheet Assessment Formative: Thumbs up or down Notebook, pencil Writing down the steps of the process. Taking notes and following along with problems on board that show clear connections between steps. Translating spoken English into mathematical symbols then simplifying relevant expressions Worksheet Respond when asked whether or not they feel prepared to do their homework after the lesson. Summative: Vocabulary Quiz 1 min Copies of Quiz (150) Closure: Ask the kids to look for times they have to use math over the weekend. Worksheets (150) Start thinking about when they have to do math in their daily lives. Rationale for this lesson: Factoring trinomials is an extremely important skill for any sort of applied physics and engineering. Factoring provides a simple way to find roots of a polynomial in algebra. Other examples of useful factoring include division of polynomials in algebra I and II and finding points of inflection and concavity of graphs in calculus. Direct instruction is best suited for this lesson because seventh grade students will not be able to produce this advanced method without being shown.