8 th grade team Algebra 1/Algebra 1 Honors. 15 days Unit 6: Polynomial expressions and functions DOK Math Florida Standard(s):

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1 15 days Unit 6: Polynomial expressions and functions DOK Math Florida Standard(s): MAFS.912.A-SSE.1.1b (DOK 2) Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients MAFS.912.A-APR.1.1 : (DOK 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, and multiply polynomials MAFS.912.A- APR.4.6: (DOK 2)(Supporting cluster) Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x) MAFS.912.A- APR.2.2: (DOK 1) (Supporting Cluster) Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x a is p(a), so p(a) = 0 if and only if (x a) is a factor of p(x).use Long division to teach division of polynomials. MAFS.912.A-SSE.1.2 (DOK 2) Use the structure of an expression to identify ways to rewrite it Identify ways to rewrite expressions, such as difference of squares, factoring out a common monomial, and regrouping. Classify expressions by structure and develop strategies to assist in classification MAFS.912.A-REI.1.2 : (DOK 3) Solve simple rational and radical equations in one variable and provide examples of how extraneous solutions arise. Give examples showing how extraneous solutions may arise when solving rational and radical equations. MAFS.912.A-SSE.2.3a (DOK 2) Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. a. Factor a quadratic expression to reveal the zeros of the function it defines. Explain the connection between the factored form of a quadratic expression and the zeros of the function it defines. Completing the square & quadratic formula MAFS.912.F-BF.1.1c: (DOK 3) (Supporting Cluster)Write a function that describes a relationship between two quantities. Given a real-world situation or mathematical problem, relate the combined function to the context of the problem Learning Goal: Assessment s Essential Question(s): Progress Monitoring/ Feedback Loop Students will be able to perform operations with polynomials and factor polynomial expressions. Students will be able to represent rational expressions in equivalent forms, compose functions, and solve rational and radical equations. Pre Assessment Circle Map on equations Formative Assessments Cornell Notes Collaborative Assignments Exit Slips Summative Assessment Review Quiz Test How can the properties of the real number system be useful when working with polynomials and rational expressions? If student has a low pre assessment or formative assessment, the teacher will monitor and possibly suggest before or after school tutoring to insure he is learning the unit adequately. If the student has a 70 or below on a quiz he can study more and retake it within a 7 day period for full credit. If the student has below a 70, the instructor will provide real time remediation

2 Higher Order Question(s) Key Vocabulary How can we classify a polynomial? How do we write polynomials in proper order? How do you find the degree of a polynomial? What is a term in a polynomial? What is a leading coefficient? What is closure? Under what operations are closed in polynomials? What is FOIL? What is the remainder theorem and how does one apply it? What are the zeros of a polynomial and how to they help you in determining your solution(s)? What are extraneous solutions? Given a real world problem can you explain your solution? When factoring a polynomial can you create a short cut and explain the short cut and justify why it works?. Closure, Difference of Squares, Extraneous Solutions, Polynomial, Polynomial Identities, Rational Expression, Remainder Theorem, Zeros of Functions Wednesday Unpacking the Polynomial Unit DOK 2 Daily Objective Students will unpack the standards to the polynomial unit using Rally Robin What do you know about the terms bi, tri, poly,& mono Introduce the polynomial unit. Unpack the standards in the unit Present the standard to the group Write down a good summary of the standard in your own words None What do you think this unit will be about? Thursday Identifying Parts of a Polynomial and Classifying Them DOK 2 Daily Objective Students will learn to identify parts of the polynomial and rewrite them in descending order using Cornell notes and practice problems Marni attach ( 5 Minutes) Assess and Monitor Go over Bellringer Cornell Notes Practice Problems odds on worksheet Worksheet on classifying Polynomials Finish worksheet on classifying polynomials Write a polynomial. Identify its leading coefficient and its constant term. Then classify it by its terms and degree.

3 Friday Add & Subtract Polynomials DOK 1 Daily Objective Students will learn to add subtract them with the vertical and the horizontal method using Think Pair Share ( 5 Minutes) Classify these polynomials by terms and degree. Identify their leading coefficients and constant terms Assess and Monitor Go over Bell ringer Go over homework Cornell Notes Practice Problems Red book Page 575 ( 4,-40 even & 29) Assess and monitor yourself on the learning scale. Finish Page 575 Level 2,3 )Create an addition or subtraction problem and solve it then classify it using terms and degree. Level 4 Create a real world scenario involving adding or subtracting polynomials and dolve it. Explain your solution. Monday Review classifying, adding, & subtracting of Polynomials DOK 2 Students will Review to identify parts of the polynomial and add and subtract them with the vertical and the horizontal method using Cornell notes and practice problems 4 addition and subtraction problems Assess and Monitor Go over Bell ringer Go over homework Red workbook 9.1 odds Assess and monitor yourself on the learning scale. Red workbook 9.2 evens Create a polynomial and subtract a binomial from it. Explain your steps. Friday Multiplying Polynomials DOK 1 Students will learn to multiply polynomials using Cornell Notes and practice problems Multiply exponent problems Assess and Monitor Go over Bell ringer Go over homework

4 Cornell Notes Practice Problems Red book Red Book Page 583 (4-16,52) Assess and monitor yourself on the learning scale Finish Page 583 What is FOIL- create an example and explain your steps Monday Multiplying Polynomials DOK 1 Students will learn to multiply polynomials using Cornell Notes and practice problems Long multiplication problem Assess and Monitor WE Go over Bell ringer DO: Go over homework Cornell Notes Practice problems 581(4-6) Assess and monitor yourself on the learning scale. Page (18-52) even Can I apply the long multiplication method t multiplying binomial by binomial? Can I apply the foil method to multiplying trinomials? Tuesday Multiplying Polynomials DOK 1 WE DO: WE DO: Dividing Monomials DOK 3

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6 Scale Date Mastered Note: Learning Scales and Accommodations are below. Learning Goals Scale: Equations and Inequalities MAFS.912.A-SSE.2.3a (DOK 2) Given a real world scenario I can complete the set up a quadratic equation and complete the square MAFS.912.A-REI.1.2 : (DOK 3) Given a real world scenario I can find the zeros and check for extraneous solutions 4.0 MAFS.912.A-SSE.1.2 (DOK 2) Given a real world scenario Students can rewrite expressions, such as difference of squares, factoring out a common monomial, and regrouping MAFS.912.A-APR.1.1 : (DOK 1) I can solve real world problems using operations on polynomials and explain their solutions MAFS.912.A-SSE.2.3a (DOK 2) I can complete the squire to find the zeros when given a quadratic. MAFS.912.A-REI.1.2 : (DOK 3) Given a real world problem I can find the zeros and check for extraneous solutions

7 3.0 MAFS.912.A-SSE.1.2 (DOK 2) I can rewrite expressions, such as difference of squares, factoring out a common monomial, and regrouping MAFS.912.A-APR.1.1: (DOK 1) I can perform operations on polynomials and arrange their solution in descending order. MAFS.912.A-SSE.1.1b (DOK 2) I can identify parts and classify polynomials by terms and degrees 2.0. MAFS.912.A-SSE.2.3a (DOK 2) I can fill in the steps to a completing the square problem when started for me. MAFS.912.A-REI.1.2 : (DOK 3) I can find the zeros when given a polynomial MAFS.912.A-SSE.1.2 (DOK 2) I can factor two binomials out of a polynomial if the polynomial has a degree of 2 MAFS.912.A-APR.1.1 : (DOK 1) I can add, subtract and multiply polynomials using a variety of methods MAFS.912.A-SSE.1.1b (DOK 2) I can classify polynomials by terms or degrees 1.0 MAFS.912.A-SSE.2.3a (DOK 2) I can use the quadratic formula to solve a quadratic formals MAFS.912.A-REI.1.2 : (DOK 3) I can solve polynomials which are already written in factored form MAFS.912.A-SSE.1.2 (DOK 2) I can factor a monomial out of a polynomial MAFS.912.A-APR.1.1 : (DOK 1) I can add, subtract, & multiply polynomials with one method MAFS.912.A-SSE.1.1b (DOK 2) I can identify parts of a polynomial Writing Writing activities that help students understand the content Writing-to-Learn summaries Process writing using a rubric as evaluation On-demand/Timed writing writing that is completed in class within a set amount of time grade is evaluated using a rubric Cornell Notes WICR Strategies used during each unit. Inquiry Questioning strategies that help students understand the content Higher level questioning in classes Costa s Level 1: Students find the answers right there in the text. Costa s Level 2: Students must figure out the answer from information in the text. Collaboration Working together with a partner or in a group of students to understand, to problem solve, or to complete a task/project Think Pair Share Sharing ideas with a partner or in a group Carousel/Gallery Walk Problem solving in groups Projects in groups Reading Any strategies in reading that help students understand Before reading activities vocabulary activities accessing prior knowledge making predictions During reading activities marking the text Cornell notes graphic organizers After reading strategies

8 taking notes on the most important information summarizing using the notes to study Reflective writing students write about what they have learned and what they still need Read directions for the student Check for understanding Allow to leave class for assistance Extra time for exams Daily agenda Costa s Level 3: Students apply what they have learned or use what they have learned to evaluate or create. summarizing group projects Accommodations used daily on an individual basis in accordance with IEP and 504 plans and ELL Students Allow student time to step Extended time on Read Aloud to Students out to de-escalate assignments =1 day Visual manipulatives Testing in small groups Preferential seating Cooperative Learning, Use of a planner/binder for Written direction given Vocabulary, Description, organization Break directions into Introduction, English Language Dictionary chunks. Student Friendly Mathematical Practice Statements MAFS.K12.MP.1.1 Make sense of problems and persevere in solving them. Make a plan! Try different approaches when your problem is hard. Solve your problem in more than one way. Check whether your solution makes sense. MAFS.K12.MP.2.1 Reason abstractly and quantitatively. Explain the meanings of the numbers, words, pictures, symbols, and objects you and others use MAFS.K12.MP.3.1 Construct viable arguments and critique the reasoning of others. Explain both what to do and why it works. Work to make sense of others mathematical thinking. MAFS.K.12.MP.4.1 Model with mathematics. Apply math to real-world situations. Use models such as graphs, drawings, tables, symbols, numbers, and diagrams to solve problems. MAFS.K12.MP.5.1 Use appropriate tools strategically. Choose appropriate tools for your problem. Use mathematical tools correctly and efficiently. Estimate and use what you know to check the answers you find using tools. MAFS.K12.MP.6.1 Attend to precision. Communicate your mathematical thinking clearly and precisely. Use the level of precision you need for your problem. Be accurate when you count, measure, and calculate. MAFS.K12.MP.7.1 Look for and make use of structure. Find, extend, analyze, and create patterns. Use patterns and structures to solve problems. MAFS.K12.MP.8.1 Look for and express regularity in repeated reasoning. Use patterns and structures to create and explain rules and shortcuts. Use properties, rules, and shortcuts to solve problems. Reflect on your thinking before, during, and after you solve a problem.