ALGEBRA 1 LESSON PLANUnit 6 Polynomial expressions & functions

Monday

March 16

Essential Question How can properties of the real number system be useful when working with polynomials and rational expressions?

WICOR

Learning Goal Student will learn how to multiply, add, subtract, and factor quadratic and cubic polynomials using concrete models and analytic techniques. This work with polynomial expressions serves as a bridge to introductory work with polynomial functions and rational expressions

Measurable Objective: Students will learn to factor Polynomials using the Product Sum Method and the Tic Tac Toe method when you have Ax2 +Bx +C.

Benchmark MAFS.912.A-SSE.1.2 (DOK 2) MAFS912.A- SSE.1.1b(DOK 2)MAFS.912.A-SSE.2.3a (DOK 2) MAFS.912.F-BF.1.1c: (DOK 3) . Higher Order Thinking Questions ( Hot) How does simplifying numerical fractions compare to simplifying algebraic fractions?

How does multiplying trinomials compare to multiplying whole numbers? What are the concepts that help you understand polynomials? How are the prefixes used in English related to the prefixes used in mathematics? What are the similarities and differences between the different methods to multiply and factor polynomials?

ICOR

: VocabularyPolynomial Term Coefficients Degree of a polynomial Monomial Binomial Trinomial Constant term Constant linear cubic quartic quadratic quintic Closure• Difference of Squares Square of a binomial • Extraneous Solutions • Rational Expression • Remainder Theorem • Zeros of Functions FOIL

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Daily Agenda Bell Ringer 1. Bell Ringer- List the perfect squares from 1-122. Cornell Notes; factoring using special products 3. Guided Practice within notes4. Homework. Page 621 ((4-10,16,18) & Test review Ready to go on Page

617 (2-24 even)

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Summarizing Activity/Comprehension Check A window washer drops a wet sponge from a height of 64 feet. After how many seconds does the sponge hit the floor? Use formula h= -16t2+vt+s.Hint: It does not have vertical velocity sine it is not mentioned

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ALGEBRA 1 LESSON PLANUnit 6 Polynomial expressions & functions

Tuesday

March 17

Essential Question How can properties of the real number system be useful when working with polynomials and rational expressions?

WICOR

Learning Goal: Student will learn how to multiply, add, subtract, and factor quadratic and cubic polynomials using concrete models and analytic techniques. This work with polynomial expressions serves as a bridge to introductory work with polynomial functions and rational expressions

Measurable Objective : Students will learn to factor a trinomial using Product Sum Method and Tic Tac Toe Method

Benchmark MAFS.912.A-SSE.1.2 (DOK 2) MAFS912.A- SSE.1.1b(DOK 2)MAFS.912.A-SSE.2.3a (DOK 2) MAFS.912.F-BF.1.1c: (DOK 3)

Higher Order Thinking Questions ( Hot) How does simplifying numerical fractions compare to simplifying algebraic fractions?

How does multiplying trinomials compare to multiplying whole numbers? What are the concepts that help you understand polynomials? How are the prefixes used in English related to the prefixes used in mathematics?

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VocabularyPolynomial Term Coefficients Degree of a polynomial Monomial Binomial Trinomial Constant term Constant linear cubic quartic quadratic quintic Closure• Difference of Squares Square of a binomial • Extraneous Solutions • Rational Expression • Remainder Theorem • Zeros of Functions FOIL

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Daily Agenda: New Seats

1. Bell Ringer Spring Board pg 393 2. Review Homework 3. Review Bell Ringer and preview Spring Board pg 398 4. Introduce Factoring with Tic Tac Toe for factoring ax2 +bx +c using Cornell

Notes5. Guided Practice 6. Individual Work with groups using Think Pair Share.7. Ticket Out

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Summarizing Activity/Comprehension Check: Compare and Contrast How is factoring a trinomial ax2 +bx + C when a is not = to 1, different from factoring a

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ALGEBRA 1 LESSON PLANUnit 6 Polynomial expressions & functions

trinomial when a=1? Explain DOK 3

Wednesday

March 18

Essential Question:

How can properties of the real number system be useful when working with polynomials and rational expressions?

WICOR

Learning GoalStudent will learn how to multiply, add, subtract, and factor quadratic and cubic polynomials using concrete models and analytic techniques. This work with polynomial expressions serves as a bridge to introductory work with polynomial functions and rational expressions

Measurable Objective. Students will be assessed on their knowledge of polynomials with a pencil and paper test

Benchmark MAFS.912.A-SSE.1.2 (DOK 2) MAFS912.A- SSE.1.1b(DOK 2)

MAFS.912.A-SSE.2.3a (DOK 2) MAFS.912.F-BF.1.1c: (DOK 3)) MAFS.912.A-APR.1.1 (DOK 1)

Higher Order Thinking Questions ( Hot) How does simplifying numerical fractions compare to simplifying algebraic fractions? How does multiplying trinomials compare to multiplying whole numbers? What are the concepts that help you understand polynomials? How are the prefixes used in English related to the prefixes used in mathematics? What are the similarities and differences between the different methods to multiply and factor polynomials?

I,C,O,R

VocabularyPolynomial Term Coefficients Degree of a polynomial Monomial Binomial Trinomial Constant term Constant linear cubic quartic quadratic quintic Closure• Difference of Squares Square of a binomial • Extraneous Solutions • Rational Expression • Remainder Theorem • Zeros of Functions FOIL

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Daily Agenda:

1. Bell Ringer – Check Homework 2. Unit 6 Test3. Reflection of test

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Summarizing Activity/Comprehension W,I,C

ALGEBRA 1 LESSON PLANUnit 6 Polynomial expressions & functions

Thursday

March 19

Essential Question How do quadratic functions model real-world problems and their solutions? How you determine the best method for solving quadratic equations?

WICOR

Learning Goal. Students will be able to solve quadratic equations using various methods, solve quadratics with real and complex solutions, determine how many and what type of solutions a quadratic has, sketch the graphs of quadratics and polynomials.

Measurable Objective Students will learn how to solve quadratic equations using the quadratic formula

Benchmark : MAFS.912.A-CED.1.1 (DOK 2)

Higher Order Thinking Questions ( Hot) What is the relationship of the quantities? • How do you know your approach worked? • What mathematical terms or symbols should be used in this situation?

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Vocabulary Quadratic Formula • Discriminant • Complex Solutions • Roots

•

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Daily Agenda:

1. Bell Ringer: 2. Homework: Collect reflections3. Cornell Notes: The Quadratic Formula4. Guided Practice within Notes5. Homework Springboard Page 476(1-8all )

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ALGEBRA 1 LESSON PLANUnit 6 Polynomial expressions & functions

Summarizing Activity/Comprehension Check Which do you prefer the quadratic formula or factoring? WHY

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March 20

Friday

Essential Question How do quadratic functions model real-world problems and their solutions? How you determine the best method for solving quadratic equations?

WICOR

Learning Goal. Students will be able to solve quadratic equations using various methods, solve quadratics with real and complex solutions, determine how many and what type of solutions a quadratic has, sketch the graphs of quadratics and polynomials.

Measurable Objective: Students will learn to solve quadratic equations using the quadratic formula

Benchmark MAFS.912.A-REI.2.4 (DOK 2)

Higher Order Thinking Questions ( Hot)

What is the relationship of the quantities? • How do you know your approach worked? • What mathematical terms or symbols should be used in this situation?

I,C,O,R

Vocabulary Quadratic Formula • Discriminant • Complex Solutions • Roots

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Daily Agenda:

1. Bell Ringer: 2. Homework:3. Rally Robin quadratic formula – Red Workbook

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ALGEBRA 1 LESSON PLANUnit 6 Polynomial expressions & functions

4. Guided Practice within NotesHomework Springboard

Summarizing Activity/Comprehension When do I use the product sum method for factoring a trinomial??

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ESOL/ESE ACCOMODATIONSVisual Aids, Concrete Objects, Gestures, Repetitions Peer tutoring

Written Outline, Copy of Notes Use of Dictionary Small Group Instruction Avoidance of Idioms

Incorporation of LEP student’s Culture & Language Copies of NotesVerbal and Written Directions Summarize & Review FrequentlyHands on Activities Student Translator

Request of Text in Student’s Language Reading Aloud QuestionsCorrelation With ESOL/ESE Resource Personnel Preferential Seating

Cooperative Groups Extended Time

Student Friendly Mathematical Practice StatementsMAFS.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.

ALGEBRA 1 LESSON PLANUnit 6 Polynomial expressions & functions

• 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.

Reading Standards for Literary and Informational Text

Speaking and Listening Writing and Language Standards

8.RL/RI.1.1 (DOK2)

Text evidence that supports analysis and inferences drawn from text

8.LS.1.1 (DOK 3)

Collaborative discussions

a. Prepare/research materialb. Follow rules for collegial

discussions; track progress toward goals/deadlines;

c. Pose questions that connect ideas , respond to others; qualify/justify own views

d. Acknowledge new information expressed by others; qualify or justify their own views in light of the evidence presented

8.W.2.4 (DOK 3)

Produce clear and coherent writing; organization, style are appropriate to task/purpose/audience

8.RI.2.4(DOK 2)

Meanings of words/phrases as used in a text.

8.W.2.5 (DOK2)

With guidance, develop and strengthen writing as needed by planning/revising/editing/rewriting/ trying a new approach.

8.RI.4.10 (DOK2)

By the end of the year, read and comprehend literary nonfiction at the high end of 6-8th grade text complexity band independently and proficiently

8.W.2.6 (DOK2)

Use technology, including Internet, to produce and publish writing and present the relationships between information and ideas efficiently as well as to interact and collaborate with others.

8.SL.2.6 (DOK2)

Adapt speech to a variety of contexts and tasks, demonstrating command of formal English.

8.W.4.10 (DOK3)

Write routinely over extended and short time frames for a range of discipline-specific tasks/ purposes/audiences

8L.3.4 (DOK2)

Determine or clarify the meaning of unknown and multiple-meaning words/phrases based on grade 8 reading and content,

a. Use context as clueb. Use common, grade-appropriate Greek or Latin affixes and

rootsc. Consult general and specialized reference materialsd. Verify the preliminary determination of the meaning of a word

or phrase (e.g., checking inferred meaning in context or in a dictionary).