Adding and Subtracting Polynomials (half day)

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Multi-step equation weakness (​couple of guys still fumble with signs and distributing them over the parentheses. When I do an example on the board, I always ...

Lesson Plan for Grade 8 Algebra 1B This plan is good for the 16 teaching days leading up to February Break. January 24-26 Word Problems:​ Writing function rules. Homework and a quiz. Use a combination of PowerPoint and YouTube in class. Homework is problems out of Pearson. January 29 Absolute Value Inequalities:​ This is straight drill using Kuta and groupwork. Homework is worksheets. Just a spiral back into this to refresh the idea that there are two solutions. This will be covered again in Algebra 2 and Pre-Calc. February 12 Linear Functions:​ Spiral back on this. Write an equation in Point-Slope from any input. Use Standard Form and Slope-Intercept. Remember to project the correct answers on the Board at the start of class while they check their work.

January 30-February 16 Polynomials GOAL: Students can add/subtract, multiply polynomials, factor a monomial out of a polynomial, recognize and expand/factor special cases, factor simple polynomials into products of binomials. ​Stops short of completing the square and the Quadratic Formula, but hopes to include the so-called “British” or “Split-The-Middle” method of factoring. ● How can we leverage our multi-step equation skills to build confidence with polynomial operations and factoring? ​Recall and highlight distributive property and combining like terms. ​Remind students of the Distributive Property every time we factor. CONCERNS: ● Multi-step equation weakness (​couple of guys still fumble with signs and distributing them over the parentheses. When I do an example on the board, I always stress the sign operation first, then the numbers: “A positive times a negative is a negative…”​) ○ Distribute the signs ○ Signed operations ● Combining like terms ● Any summative quiz or test takes an entire period. Try one or two-question pop quizzes at the start of class. OBJECTIVE: BEFORE THE BREAK ● Fluency with polynomial operations: add/subtract, multiply monomials by polynomials, multiply binomials, ecognize and expand/factor special cases, factor polynomial where ​a = 1 using guess and check. CONNECTED SKILLS: ● GCF, Distributive Property, Combining Like Terms, Exponent rules SUPPORT: ● iXL Alg1: Y.2-5 (monomials); Z.1, 2 (polynomials); I.2 (Like Terms) ● Start each lesson with the Reteaching materials from Pearson ● Have students read and highlight their eBook pages, use the study cards in the eBook

ONE: Adding and Subtracting Polynomials (half day)

Goal = fluency and confidence adding and subtracting x-degree, multi-term polynomials ● This is review. Reinforce Combine Like Terms ● Do not multiply coefficients nor add exponents ● Practice this. Use a combination of Kuta and goFormative. Exit Ticket. ● Homework is a simple worksheet.

TWO: Multiplying and Factoring Polynomials (half day) Goal = 95% consistent accuracy with multiplication; 100% consistent accuracy finding the GCF of a polynomial and rewriting the factored form. ● This is review A. Multiply a Monomial by a Polynomial ● Distributive Property ● Exponent Rules ● Combining Like Terms B. Factor a Monomial out of a Polynomial ● Find the GCF of all terms ● Divide each term by the GCF = “undistribute” ● Rewrite in factored form Homework is a simple worksheet.

Short formative assessment

THREE: Multiplying Binomials and Trinomials (two day) Goal = 95% accuracy with product Light Formative at the end of each class eBook: pg 1185--1189 Highlight and copy into Math Binder A. Multiply Two Binomials ● Four-Square Method ● F.O.I.L. ● Distributive Property ● Combine Like Terms Pearson: 08_03_RE front page, use this as the intro demo ● 08_03_PRG: 1-9; 16-27; 28-30 ● 08_03_PRK: 1-6; 24-29; Extra practice = 7-21 iXL Alg1 Z.8, Kuta sheets for practice Extend = eBook word problems. See page 1190-1191; pg 1198, 47-49 HMWK: pg 1194: 8-19; pg 1195: 20-28 B. Multiply a Binomial and a Trinomial eBook: pg 1192 Highlight and copy this example into Math Binder ● Partial Products ● Combine Like Terms Pearson: 08_03_RE back page, use this as the intro demo ● 08_03_PRG: 31-39

● 08_03_PRK: 30-34 iXL Alg1 Z.10, Kuta sheets for practice HMWK: pg 1196: 31-34; 36-41

FOUR: Multiplying Special Cases (two days) Require students to write out (a+b)^2 as (a+b)(a+b) Goal = 95% accuracy with recall and execution ALERT: REMEMBER THAT YOU CAN’T SQUARE A SUM OR DIFFERENCE BY SQUARING THE PARTS. eBook: pg 1202-1204; 1206-1207 Highlight and copy the models into Math Notebook A. Square of a Sum, Square of a Difference Pearson: 08_04_RE front page, use this as the intro demo ● 08_04_PRG: 1-12; 46-51 ● 08_04_PRK: 1-9; 29-31 iXL Alg1, Z.9 HMWK: pg 1210: 9-16; pg 1212: 36-42 B. Product of a Sum and a Difference Pearson: 08_04_RE back page, use this as the intro demo ● 08_04_PRG: 13-16, 28-39, 52-54 ● 08_04_PRK: 10, 11, 20-25, 32-34 HMWK: pg 1211: 25-30; pg 1212: 43-49 Extend = pg 1214: 56--58

FIVE: Factoring a Polynomial GOAL: 95% accuracy with recall and execution.