Pre-Algebra Lesson Plans

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1 EMS 8 th Grade Math Department Math Florida Standard(s): Learning Goal: Assessments Algebra Preview: Polynomials May 2 nd to June 3 rd, 2016 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-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. Students will be able to classify, add, subtract and multiply polynomials and factor simple polynomial expressions, including factoring out monomials, difference of squares, and using the product sum method. Pre Assessment Circle Map on Polynomials and Vocabulary, Summary when Unpacking the Standards Formative Assessments Cornell Notes Collaborative Assignments Homework Exit Slips Essential Question(s): Progress Monitoring/ Feedback Loop Higher Order Question(s) Key Vocabulary Summative Assessment Review Quiz Semester Test How can the properties of the real number system be useful when working with polynomials? 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 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? 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, Polynomial, Polynomial Identities, FOIL, Binomial, Trinomial, Quadratic Expression, Factoring, Coefficient, Term, Degree, Classify. Monday, May 5 th Unpacking the Polynomial Unit DOK 2 Daily Objective Students will unpack the standards to the polynomial unit using Rally Robin BELL RINGER What do you know about the terms bi, tri, poly,& mono I DO: Introduce the polynomial unit. WE DO: Unpack the standards in the unit Present the standard to the group Define Polynomial Vocabulary YOU DO: Write down a good summary of the standard in your own words

2 Homework Word search on polynomial vocabulary What do you think this unit will be about? Tuesday, May 3 rd Classify and Identify Parts of a Polynomial 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 BELL RINGER 5 problems (Match Polynomial with its description) ( 5 Minutes) Cornell Notes on Classifying and Identifying Parts of a Polynomial. Practice Problems odds on worksheet YOU DO: Take with your partner explain the concepts learned today and finish the practice problems on the Cornell notes Homework Finish practice problems on the notes Exit Ticket: Write a polynomial. Identify its leading coefficient and its constant term. Then classify it by its terms and degree. Wednesday, May 4 th Classify and Identify Parts of a Polynomial DOK 2 Daily Students will learn to multiply binomials using the FOIL method. Objective BELL RINGER Multiply binomials with a table. ( 5 Minutes) Cornell Notes on Multiplying Polynomials by FOIL and Table. YOU DO: Practice Problems Red Book Pg. 583 #9-14 Homework Pg. 584 #27-32 Exit Ticket: Describe in words what FOIL is and how to use it. Thursday, May 5 th Add Polynomials DOK 2 Daily Objective Students will learn to add polynomials with the vertical and the horizontal method using Cornell Notes BELL RINGER ( 5 Minutes) Classify these polynomials by terms and degree. Identify their leading coefficients and constant terms. Go Over Homework.

3 Cornell Notes on Adding Polynomials. YOU DO: Assess and monitor yourself on the learning scale. Homework 5 sample problems on adding polynomials Create a polynomial addition problem and solve it. Then classify it using terms and degree. Create a real world scenario to go with your problem. Friday, May 6 th Classify and Add Polynomials Quiz DOK 2 Students will review adding polynomials and demonstrate mastery on classifying and adding polynomials using a pencil and paper quiz. BELL RINGER Add Polynomials in Perimeter Problem Go over Bell ringer WE DO: Class Discussion on Polynomials YOU DO: Polynomials Quiz 1. Homework Have a great weekend. Assess and Monitor Yourself on the Learning Goal Scale. Monday, May 9th Subtract Polynomials DOK 2 Daily Objective Students will learn to subtract polynomials with the vertical and the horizontal method using Cornell Notes BELL RINGER Add Polynomials in a Real World Situation. ( 5 Minutes) Go over Quiz Cornell Notes on Subtracting Polynomials. YOU DO: Practice Problems on Subtracting Polynomials Homework 5 sample problems on subtracting polynomials Create a polynomial addition problem and solve it. Then classify it using terms and degree. Create a real world scenario to go with your problem. Tuesday, May 10 th Classify and Identify Parts of a Polynomial DOK 2 Daily Objective Students will learn to add and subtract polynomials with various methods using Algebra Nation video and notes. BELL RINGER 5 problems ( 5 Minutes)

4 Algebra Nation Notes Section 1 Video 5 Practice and Try It! Sections YOU DO: Take with your partner explain the concepts learned today. Beat the Test Section. Homework Mixed Worksheet on Adding and Subtracting Polynomials. Exit Ticket: Double Bubble Map: How are adding and subtracting polynomials alike? How are they different? Wednesday, May 11 th Multiplying Polynomials DOK 2 Students will learn to multiply monomials with polynomials using the distributive method and Think Pair Share BELL RINGER Distributive Property Practice Problems Cornell Notes on Multiplying Polynomials YOU DO: Practice Problems Red Book Pg. 583 #3-8 Homework 5 Practice Problems Predict: How do you think you would multiply two binomials? Thursday, May 12 th Multiplying Polynomials DOK 2 Students will learn to multiply binomials using the FOIL method. BELL RINGER Multiply binomials with a table. Cornell Notes on Multiplying Polynomials by FOIL and Table. YOU DO: Practice Problems Red Book Pg. 583 #9-14 Homework Pg. 584 #27-32 Describe in words what FOIL is and how to use it. Friday, May 13 th Multiplying & Subtracting DOK 2 Polynomials Quiz Students will demonstrate mastery of subtracting and multiplying polynomials through a paper and pencil quiz. BELL RINGER 5 FOIL Problems.

5 Pre-Algebra Lesson Plans Class discussion on adding, subtracting, and multiplying polynomials. YOU DO: Polynomials Quiz 2. Homework Have a great weekend. Assess and Monitor Yourself on the Learning Goal Scale. Monday, May 16 th Multiplying Polynomials DOK 2 Students will learn to multiply binomials and trinomials using the distributive method and Think Pair Share BELL RINGER FOIL Practice Go over Quiz Cornell Notes on Multiplying binomials and trinomials using the distributive method and the table method. YOU DO: Pg. 584 #23-25 Homework 5 Practice Problems How do you simplify after multiplying polynomials? Explain the process of combining like terms. Tuesday, May 17 th Multiplying Polynomials DOK 2 Students will learn to multiply polynomials through Algebra Nation video and notes. BELL RINGER 2 practice problems. WE DO: Go over bell ringer. Algebra Nation Section 1 Video 6. Try It! And Let s Practice! Problems YOU DO: Beat the Test Problems Homework None: Turn in completed Algebra Nation Notes. Describe the different ways to multiply polynomials and the different results you can get. Wednesday, May 18 th Special Polynomial Products DOK 2

6 Students will learn to find special products using Cornell Notes and guided practice. BELL RINGER 3 multiplication problems WE Go over Bell ringer DO: Cornell Notes: Square of Binomials Pattern and Sum/Difference Pattern Guided Practice Pg #1-7 YOU DO: Pg. 590 #3-15 odds. Homework Pg. 590 #3-16 evens. Explain the difference between the square of a binomial and the sum/difference pattern. Thursday, May 19 th Special Polynomial Products DOK 2 Students will practice finding the special product using scribe and squire. BELL RINGER 3 problems/ WE Go over Bell ringer DO: Class Discussion on Special Products of Polynomials Practice Problems Red Book Pg. 590 #23-34 YOU DO: Assess and monitor yourself on the learning scale Homework Review for quiz Page 592 (Ready to go on?) Explain what you know about polynomial operations in a paragraph. Friday, May 20 th Multiplying Polynomials Quiz DOK 2 Students will show mastery in identifying parts of a polynomial, adding polynomials, subtracting polynomials, and multiplying polynomials using a pencil and paper quiz BELL RINGER 3 problems WE Go over Bell ringer DO: Class Discussion on Polynomials YOU DO: Polynomials Quiz 3 Homework Have a Great Weekend. Assess and Monitor Yourself on Learning Goal Scale. Monday May 23 rd Factoring Greatest Common Monomial DOK 3

7 Students will learn to factor out the greatest common monomial factor of a polynomial using Cornell Notes. BELL RINGER 3 Problems student tasks Go over Quiz WE DO: Go Over Bell ringer Cornell Notes Factoring out common monomial factor. Practice problems within notes YOU DO: Pg. 596 #17-25, Pg. 597 #40-45 (evens) Homework Finish Independent practice (odds) What is factoring? Tuesday, May 24 th Factoring Special Products DOK 3 Students will learn to use special product patterns to factor polynomials, such as the difference of two squares. BELL RINGER 3 Problems. student tasks WE DO: Go over bell ringer. Cornell Notes: Factor Using Special Products. Pg #1-4 YOU DO: Pg. 621 ##3-14 odds Homework Pg. 621 #3-14 evens Why is it necessary to factor polynomials? Wednesday, May 25 th factoring x2+bx+c DOK 3 Students will learn factoring x2+bx+c using the product sum method and Cornell Notes, guided Practice, and independent practice BELL RINGER Pg. 621 #15-20 student tasks WE DO: Go over Bell Ringer. Cornell Notes on Factoring. Practice Pgs #1 7 YOU DO: Pg. 604 #3-17 Homework Finish Independent Practice Pg. 604 Error Analysis

8 Thursday, May 26 th Solve by factoring x2+bx+c DOK 3 Students will solve equations by factoring x2+bx+c using scribe and squire Cornell Notes, guided practice, and independent practice BELL RINGER 3 Problems student tasks WE DO: Go Over Bell ringer Describe why we factor and how to solve equations in factored form. Scribe and Squire Pg. 604 #20-38 evens YOU DO: Monitor yourself on the learning scale Homework Pg. 604 #20-38 odds. Explain what a zero is and how to find it. Friday May 27 th Factoring Quiz DOK 3 Students will demonstrate mastery of factoring monomials, special products, and trinomials with a coefficient of 1. BELL RINGER Solve 3 quadratic equations (one with factoring out monomial, one with special products, and one with a coefficient of 1). student tasks WE DO: Go over Bell Ringer. Discuss Factoring YOU DO: Polynomial Quiz 4 Homework Have a great weekend. Assess and Monitor Yourself on the Learning Goal Scale. Tuesday, May 31st Review Polynomials Unit DOK 3 Students will review polynomial operations and basic factoring through scribe and squire. BELL RINGER Begin work immediately on Practice. Pg. 910 #1-36 and #49-57 evens student tasks WE DO: Discuss Operations and Factoring. Review Scribe and Squire Method. YOU DO: Pg. 910 #1-36 and #49-57 evens Homework Complete odds from practice problems (add up to 20% to test if completed and correct) Assess and Monitor Yourself on the Learning Goal Scale.

9 Wed, Thurs, or Fri June 1-3 rd Test on Polynomials Unit DOK 3 Students will demonstrate mastery of polynomial operations and basic factoring through a semester exam and unit test. BELL RINGER Sharpen Pencil and Get out Scratch Paper. student tasks WE DO: Discuss Test Taking Procedures YOU DO: Take Polynomials Unit Test and Semester Exam Homework Collect it: (add up to 20% to test if completed and correct) Assess and Monitor Yourself on the year s performance in math class. Scale Date Mastered Note: Learning Scales and Accommodations are below. Learning Goals Scale: Equations and Inequalities 4.0 MAFS.912.A-APR.1.1 : (DOK 1) I can solve real world problems using operations on polynomials and explain their solutions 3.0 MAFS.912.A-APR.1.1 : (DOK 1): I can multiply polynomials using FOIL, distributive property, and tables and explain the process in words. MAFS.912.A-SSE.1.2 (DOK 2) I can rewrite expressions, such as difference of squares and factoring out a common monomial. 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, and write them in standard form. 2.0 MAFS.912.A-APR.1.1 : (DOK 1): I can multiply polynomials using FOIL and the distributive property. MAFS.912.A-REI.1.2 : (DOK 3) I can find the zeros when given a quadratic polynomial with a leading coefficient of 1. 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 and a leading coefficient of 1. MAFS.912.A-APR.1.1 : (DOK 1) I can add, subtract 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-REI.1.2 : (DOK 3) I can solve quadratic equations which are already written in factored form

10 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 and subtract 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 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 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. Costa s Level 3: Students apply what they have learned or use what they have learned to evaluate or create. 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 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.

11 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.