Campus: High School
Author(s): Miller and McIntyre Date Created / Revised: August 7, 2009
Six Weeks Period: Fifth Six Weeks - P1 Grade Level & Course: 9 Grade Algebra
Timeline: 9 days Lesson Unit Title: Unit 9. Polynomials and Factoring
a. Which subject-specific TEKS are going to be addressed in the lesson unit?
Continuation of A.9 and A.10: Quadratics and other nonlinear functions.
Stated Objectives: A.11 Quadratic and other nonlinear functions: The student understands there are
TEKS Addressed in situations modeled by functions that are neither linear nor quadratic and models the
the Lesson Unit situations.
A.11B Analyze data and represent situations involving inverse variation using concrete models,
(Include TEK tables, graphs, or algebraic methods.
number and (SE) A.11C Analyze data and represent situations involving exponential growth and decay using
student expectation concrete models, tables, graphs, or algebraic methods.
b. Which specific (TA) Technology Application TEKS are going to be addressed in the
lesson unit? : N/A
What specific concepts will be included that clarify the content and satisfy the goal of the TEKS
addressed in this lesson unit?
Chapter 7 Exponents and Polynomials Continued:
Clarifiers: C7.5 Polynomials
C7.6 Adding and Subtracting Polynomials
C7.7 Multiplying Polynomials
to be included to
C7.8 Special Products of Binomials
address the TEKS)
C8.1 Factors and Greatest Common Factors
C8.2 Factoring by GCF
C8.3 Factoring x +bx+c
C8.4 Factoring ax +bx+c
C8.5 Factoring: Special Products
C8.6 Choosing a Factoring Method
What unfamiliar terms will be introduced to the students that will enhance their understanding of
Monomial, Degree of a monomial, Polynomial, Degree of a polynomial
Standard form of a polynomial, Leading coefficient, Quadratic, Cubic
Binomial, Trinomial, Perfect square trinomial, Difference of two squares
Prime factorization, Greatest common factor
What activity will focus attention on the subject matter of the upcoming lesson unit, establishing a
Anticipatory Set or mental set to pique the students' interest?
Lesson Unit Focus Materials:
Countdown to TAKS (Holt- beginning page “TX4” - 24weeks)
Higher Order Thinking Skills (see P: drive – highschool/millermath/Focuses)
Missed questions from previous test
Technology Integration: N/A
What specific teaching strategies are going to be used to teach this lesson unit? What approach
will be used to provide information (explain) the lesson unit to the students?
Textbook – Holt: Algebra 1
Auxiliary Text - “Step-Up-to-TAKS “- Assessment for Ninth Grade Math” by GF Educators, Inc.
Re-teach Text: TAKS Study Guide for 9th Grade by TEA
Focuses – “Countdown to TAKS” (Holt- beginning page “TX4” - 24weeks)
Teaching Class work – “Guided Practice plus Independent Practice”(Holt)
Homework – From Chapter 0 and “Skills Bank” (Holt) and Independent Practice.
Quizzes – “Ready To Go On?” (Holt – 2 per chapter)
Tests – “Chapter Tests” (Holt) or teacher generated.
Vocabulary – From “Study Guide Preview” for each Chapter (Holt)
TAKS – “Step-Up-to-TAKS “- Assessment for Ninth Grade Math” by GF Educators, Inc. (Two
tests for each objective)
Six Weeks Tests – Use reviews and tests from Webccat. (Region 10)
What modeling will take place to demonstrate what the students will do?
The teacher will model examples of each type of problem showing the style and steps that
the students will be expected to master.
Activities What initial practice of lesson skill will be used under direct supervision of the teacher? What
practice of the skill concept of the lesson, without direct (step-by-step) adult supervision will take
(Guided Practice place? (List for each day of the unit: Example: Day 1, Day 2, Day 3).
Practice) Day 1. C7.5 Polynomials: Page 476
The teacher will explain monomials, binomials, trinomials, and polynomials. The terms will be
(Include: Day 1, identified as constants, coefficients, and the degree of the polynomial.
Day 2, etc…)
Example 1: Finding the Degree of a Monomial
2a2b4 The degree is 6. Add the exponents of the variables 2+4=6.
Example 2: Finding the Degree of a Polynomial
Find the degree of each term. Assign the highest degree to the polynomial.
Example 3: Writing Polynomials in Standard Form
Find the degree of each term. Then arrange in descending order.
Guided Practice: P479. Students will practice the new material.
Independent Practice: P479. # 27-49
Day 2. C7.6 Adding and Subtracting Polynomials: Page 484
The teacher will explain adding and subtracting of monomials, binomials, trinomials, and
Example 1: Adding and Subtracting Monomials
Example 2: Adding Polynomials
Example 3: Subtracting Polynomials
Guided Practice: P487. Students will practice the new material.
Independent Practice: P487. # 16-24
Day 3. C7.7 Multiplying Polynomials: Page 492
The teacher will review the distributive method (FOIL) and then show how the box method can
be used in the general case for a poly times a poly. Algebra tiles may be used the reinforce
Example 1: Multiplying Monomials
(5X )(4X ) Group factors with like bases and then multiply.
Example 2: Multiplying a Polynomial by a Monomial
5(2X +X+4) = 10X +5Xx+20 Distribute the 5 and multiply.
Example 3: Multiplying Binomials
(X+2)(X+5) Use the FOIL method. First, Outside, Inside , Last
Also teach the Box Method which will be the preferred method:
X2 2X Multiply rows times the columns.
X Combine terms
Box the answer
5 5X 10
Answer = X + 7X +10
Guided Practice: P497. Students will practice the new material.
Independent Practice: P497. # 26-52
Day 4. C7.8 –Special Products of Binomials: Page 501
Example 1: finding Products in the Form (a + b)
Example 2: finding Products in the Form (a - b)
Day 5. Quiz Lessons 7.5 through 7.8 ”Ready to go on?” page 509
Chapter 8: Factoring Polynomials
Day 6. C8.3 Factoring Quadratic Trinomials. x bx c Page 540
Example 1: Factoring Trinomials by Guess and Check
Example 2: Factoring x bx c When c is Positive
Example 3: Factoring x bx c When c is Negative
Example 4: Evaluating Polynomials
Guided Practice: P544. Students will practice the new material.
Independent Practice: P544. # 17-31
Factoring is just the reverse of multiplying. This may be demonstrated using algebra tiles. The
teacher will hand out tiles for the students to use to solve problems listed on the board.
Day 7. C8.4 Factoring ax bx c
Example 1: Factoring ax bx c by Guess and Check
Example 2: Factoring ax bx c When c is Positive
Example 3: Factoring ax bx c When c is Negative
Guided Practice: P552. Students will practice the new material.
Independent Practice: P552. # 34-51
Day 8. Review Quadratics and Polynomials.
Day 9 Test on Quadratics and Polynomials.
What check(s) will be used to determine if learners have understood the material and activities of
Monitor students working at desks
Ask questions of the class for understanding
Checking for Ask questions individuals for understanding
If necessary, what alternative teaching methods will be used to teach the same information or
skill? Consider teaching methods that address different learning styles, e.g., auditory, visual,
tactile, and kinesthetic.
Re-teaching Worksheets from Algebra 1 P: drive.
Opportunities to TAKS Study Guide for 9th Grade by TEA
Relearn T3 Lab
(Reteach) Peer tutoring
MySatori software for individual practice
A+ software in T3 Lab for individual practice
Accommodations What alternative instructional modifications and adaptations that address all learners' needs are
for Special necessary, if any?
Populations Accommodations for instruction will be provided as stated on each student’s (IEP)
Individual Education Plan for special education, 504, at risk, and ESL/Bilingual.
What additional teaching strategies will be used to accommodate the needs of English Language
Learners during this lesson unit?
Pair students with difficulty understanding English with a student who is proficient in
What formal assessment that provides learning criteria and indicators through traditional or
alternative assessment means will be used? State what the learner will do to demonstrate
Assessment or understanding and mastery of objectives (this should be directly tied to the lesson unit
Tests covering material learned
Quizzes covering material learned
Assessments will be graded and missed questions will be clarified
If needed tutoring and retesting is available.
What challenging instructional activities can be provided for students who demonstrate academic
proficiency of curriculum objectives? Focus on Application and Transference to the "Real World".
Make a connection between past and present.
Extension Enrichment activities from the supplements to Holt Algebra 1.
Extra Credit puzzles or games.
Technology Integration: N/A
What very brief activity will take place that has students state or demonstrate the main
Closure or Ending objective(s) of the lesson.
the Lesson Unit
Review test results and clarify missed questions.
What preparation must occur before the lesson is ready?
The following materials are available for Units 4 and 6 as needed by the teacher:
1. Power Points (P: share/5high school/millermath/power points)
2. Brain Pops (brainpop.com)
Materials: 3. Re-teaching Worksheets (P: drive- “highschool/millermath”)
Preparation and Parentheses. 4A06/4A07
Resources The FOIL Box 4A09/4A10
Review FOIL 4T3R
Test FOIL 4T3
Factor FOIL 4A11
Quadratic Formula. 4A12
Test on Quadratics 4T4
Review Quadratics 4T4R
Test on Quadratics 4T4
What resources should be available to the instructor and learner to appropriately and
successfully complete the lesson unit’s stated objective(s), purpose(s) or goal(s)?
Textbook – Holt: Algebra 1
Auxiliary Text- “Step-Up-to-TAKS “- Assessment for Ninth Grade Math” by GF Educators, Inc.
TAKS Study Guide for 9th Grade by TEA