Module 1: Algebraic Expressions Monday Tuesday Wednesday Thursday Friday Focus Topic Adding and Subtracting Polynomials Adding and Subtracting Polynomials MAP TESTING Multiplying Polynomials Reviewing Concepts Standards A-APR.A.1: Understand that polynomials form a system analogous to the integers, namely they are closed under the operations of addition, subtraction, and multiplication; add subtract, multiply polynomials A-APR.A.1: Understand that polynomials form a system analogous to the integers, namely they are closed under the operations of addition, subtraction, and multiplication; add subtract, multiply polynomials A-APR.A.1: Understand that polynomials form a system analogous to the integers, namely they are closed under the operations of addition, subtraction, and multiplication; add subtract, multiply polynomials A-APR.A.1: Understand that polynomials form a system analogous to the integers, namely they are closed under the operations of addition, subtraction, and multiplication; add subtract, multiply polynomials A-SSE.A.2: Use the structure of an expression to identify ways to rewrite it Learning Targets I can add and subtract polynomials I can add and subtract polynomials I can multiply polynomials. I can add and subtract polynomials I can describe the relationship between the system of polynomials and the system of integers. I can describe the relationship between the system of polynomials and the system of integers. I can multiply polynomials I can describe the relationship between the system of polynomials and the system of integers I can prove that expressions are equivalent using the distributive property I can rewrite an expression I can use the commutative and associative properties to prove expressions are equivalent. Plans (Include Instructional Method, Strategies, and Activities) Opener Automaticity Exercise 1: Students will complete part a and then we will have a class discussion about the concept of base. Students will then individually complete the remainder of exercise 1. Exercise 2 introduces the concept of x as a base. Exercise 3 will be completed individually and then discussed in Opener: polynomial with a leading negative sign Automaticity Students will begin the day reviewing and comparing their homework with other members of their group. If they got different answer, they will work through the problems together to correct their mistakes Students will complete MAP reflections and goal setting (20 min) Exercise 1: Students will utilize Opener Automaticity MAP Data Reflection in data notebooks (20 minutes) Teach two problems for factoring polynomials / "reverse distributive property" Students will then do several problems in their small groups on chart paper. Each corner of the chart paper will be where the individual students do the problem on their own and they will place all combination in the center and then Opener Automaticity In teams, students will review concepts using SMART board jeopardy game Students individually will complete the review problem set worksheet Students will practice two constructed answer responses similar to that which will be seen on the exam. Exit Slip their small groups. Vocabulary discussion: Polynomial Expression. Students will create 3 expressions using the definition given and then compare their expression with their neighbor for brief discussion. Some of the student generated polynomials will be placed on the board. We will then relate the polynomials to the integer base 10 system. Discussion will lead to key vocabulary: Constant term, leading coefficient, leading term Khan Academy Video with guided notes: The parts of a polynomial expression Using Guided Notes: Teacher will show one, students will do one on their the box method for computing smaller polynomials and then will begin to use geometric diagrams to compute products. Students will utilize algebra tiles in their small groups for modeling and grouping of key terms. Exercise 2: Students will apply the distributive property to polynomials. They will complete exercise 2 independently and then compare with a partner. Students will watch video on multiplying polynomials and fill out guided notes that are step by step. Students will complete #1 a-v individually. Exit Slip check them to make sure they work. 2030 min. The concept of "working backward" is factoring. Closing: Is the produce of two polynomials always another polynomial? Exit Ticket own, they will then teach one to their partner Students will then practice adding and subtracting polynomials on the small dry erase boards Exercise 4: Students will practice adding and subtracting polynomials and will place them on the board for further class discussion. Assessments (Formative and Summative) Vocabulary Exit Ticket: 1) Must the sum of three polynomials again be a polynomial? Small Dry Erase Boards for formative assessment throughout lesson Exit Ticket: Must the produce of three polynomials again be a polynomial? 2) Find Exit Ticket: multiplying a binomial and a polynomial. Student will describe their process. Find: Polynomial Polynomial Expression Monomial Polynomial Polynomial Expression Monomial Polynomial Polynomial Expression Monomial Exit Ticket: Give me a five. Students will list 5 main concepts that will be seen on the exam on Monday. Polynomial Polynomial Expression Monomial Homework Trinomial Degree of monomial Degree of Polynomial Leading Term Leading Coefficient Standard Form Trinomial Degree of monomial Degree of Polynomial Leading Term Leading Coefficient Standard Form Complete Problem Set Complete Problem Set Complete Problem Set Trinomial Degree of monomial Degree of Polynomial Leading Term Leading Coefficient Standard Form Trinomial Degree of monomial Degree of Polynomial Leading Term Leading Coefficient o Numerical Symbol o Variable Symbol o Algebraic Expression o Numerical Expression Equivalent Numerical Expression Algebraic Expression Distributive Property Equivalent Expression The Commutative Property of Addition The Associative Property of Addition The Commutative Property of Multiplication The Associative Property of Multiplication Study for Exam