Week #: 10 - Oct. 5 - 8, 2015 Course: Algebra 1 Standard Number, Element, and DOK Level Essential Question(s) Teacher: Jack E. Josey, Jr. Monday Tuesday Wednesday FIRST QUARTER TEST PREP - All standards covered for Unit or Dimension Analysis, including Metric Conversion, Operations with Integers, Operations with Square Root Expressions, & Polynomial Arithmetic (Adding, Subtracting, & Multiplying Polynomials). 1st Period: FIRST QUARTER TEST 7th Period: Extended 1st quarter test preparation. Thursday Friday MGSE9-12.A.SSE.2 Use the structure of an expression to rewrite it in different equivalent forms. For example, see x4 – y4 as (x2)2 - (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2) (x2 + y2). MGSE9-12.A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. MGSE9-12.A.SSE.3a Factor any quadratic expression to reveal the zeros of the function defined by the expression. 7th Period: FIRST QUARTER TEST FALL HOLIDAY When dividing common bases, what operation is applied to the powers, or exponents? What is a Greatest Common Factor? How is the process of factoring the inverse of the distributive property? When dividing common bases, what operation is applied to the powers, or exponents? What is a Greatest Common Factor? How is the process of factoring the inverse of the distributive property? 1st Period: MGSE9-12.A.SSE.2 Use the structure of an expression to rewrite it in different equivalent forms. For example, see x4 – y4 as (x2)2 - (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2) (x2 + y2). MGSE9-12.A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. MGSE912.A.SSE.3a Factor any quadratic expression to reveal the zeros of the function defined by the expression. Relevant Vocabulary base, exponent, power, division, factor, GCF, greatest common factor, quotient, reciprocal base, exponent, power, division, factor, GCF, greatest common factor, quotient, reciprocal Activating Strategy Problem on the board to begin mini-lecture over polynomial arithmetic division & power property USA TEST PREP problem on the smart board for students to being working as soon as they’re equipped and settled. Instructional Strategies / Activities TKES 3, 7 & 8 Before I begin to teach students how to factor polynomials, which is the inverse of the distributive property, I think it’s important for students to know how divide monomial expressions, in that factoring, or the inverse of the distributive property is actually polynomial division. This is not spelled out in the state standards, but nonetheless a learning gap that needs to be filled. After the minilecture with examples worked out on the board, students will be given a one-page worksheet of monomial division problems. Review of bell-ringer problem. Recap of mini-lecture from yesterday with more examples of unique problems pertaining to the lesson. Students will be given another worksheet that I like to call a “practice test”, as they with daily layers of complexity course content, they morph into the actual test. During the latter part of the class period, I will have students demonstrate their work on the board the worksheet will be projected on the smartboard. Intervention/ Remediation Strategies TKES 2 & 6 I will assist students who are obviously struggling up to this point (grade wise), and for those who are just struggling with the current work. I will assist students who are obviously struggling up to this point (grade wise), and for those who are just struggling with the current work. Differentiation TKES 4 Related to intervention strategies, I will give group or individual extra assistance in their Related to intervention strategies, I will give group or individual classwork. I will attempt to show them a slower, more scaffolding method to solve problems. extra assistance in their classwork. I will attempt to show them a slower, more scaffolding method to solve problems. Students who missed the ticket out the door problem from yesterday will be given extra supervision and guidance in problem solving. DOK Level 3 Questioning Strategies / HOTS TKES 8 Why is a base to the negative one power a reciprocal of the base itself? Summarizing Strategy TKES 6 Students will answer the essential question How is polynomial division related to factoring? How can you prove that exponents must be subtracted when dividing common bases? A teacher-led review of the solutions to classwork. Students will answer the essential question. Assessment Strategies Question & Answer Question & Answer Classwork observation problem solving Classwork observation problem solving TKES 5 Ticket out the door Ticket out the door Data Usage (Assessment Uses) TKES 6 Technology Incorporation TKES 3 Materials Teacher Notes Ticket out the door data Ticket out the door data