Polynomial Planning Document
Course: Algebra 1
Developed by: Melissa Davis, Joe Dewees, Linda Dewees, Dale Grupe
Which Core Content and Program of Studies standards are the goals of this unit? Program of Studies: Understandings Students will: understand the properties of integer exponents and apply these properties to simplify algebraic expressions. (throughout all of chapter 4) add, subtract (section 4.2) and multiply polynomials(section 4.3, 4.5.4.6) Equations and Inequalities Students will: solve an equations involving several variables for one variable in terms of the others(section 4.7). multiply binomials (FOIL)(section 4.6). (NCTM)
Program of Studies: Skills and Concepts – see above
Related Core Content MA-HS-5.2.1 Students will apply order of operations, real number properties (identity, inverse, commutative, associative, distributive, closure) and rules of exponents (integer) to simplify algebraic expressions. ACT / DOK 1 MA-HS-5.2.2 Students will: add, subtract and multiply polynomial expressions; DOK 1 MA-HS-5.3.2 Students will solve for a specified variable in a multivariable equation. MA-HS-5.3.6 Students will model, solve and graph quadratic equations in real-world and mathematical problems. ACT / DOK 2 RED BOOK) (Chapters 4) Chapter 4: Polynomials 4.1-4.7, 4.9 Omit: Rate-Time-Distance Problems (4.8) Omit: Problems Without Solutions (4.10) Review and Test
Multiple Choice Items on test
Open Response Question ORQ: Floor Plan (after section 4.9) Another one on test Identify specific daily outcomes to reach the Core Content and Program of Studies goals. Plan activities and formative assessments (i.e., exit slips, bell ringers, flashbacks, etc. ) that lead to student mastery. Daily Learner Outcome (DOK Level): I will be able to expand a simple exponent as well as write an expanded term as an exponent. (Section 4.1)
Related Activities: Students will take a pre-test to grasp current level of understanding. Students will be taught how to write expanded terms and how to evaluate terms involving exponents.
Formative Assessment: Rewrite using exponents 1. 2.a.4.b.b 2. (-1).x.x.x.y.(2y) Evaluate if x = -2 and y = 3 3. X3 4. (x+y)2
Daily Learner Outcome (DOK Level): I will be able to add and subtract polynomial expressions. (Section 4.2)
Related Activities: Students will learn terms such as monomials, binomials, trinomials, and polynomials. Students will learn to find like terms and combine them. Emphasis will be placed on the process of subtraction of polynomials.
Formative Assessment: Simplify : 1. (3x3 + 4x2 + 3 ) + (8x3 -2 + 5x2) 2. (4xy – 5x2) – (-8x2 + 2xy)
Daily Learner Outcome (DOK Level): I will be able to multiply a monomial by a monomial. (Section 4.3)
Related Activities: Students can explore how to multiply monomials by rewriting terms in an expanded form and them creating the simplified answer in order to learn the rules of multiplying monomials. There is a work-along worksheet for the exploration. aman = am+n
Formative Assessment: 1. (b5)(8b3) 2. (7xy2)(5x2y3)
Daily Learner Outcome (DOK Level): I will be able to multiply a polynomial by a monomial. (Section 4.5)
Related Activities: Students will use the distributive property combined with lesson 4.3 to multiply polynomials by monomials. Students will be able to practice combining like terms once they performed the multiplication once again practicing order of operations.
Formative Assessment: 1. Multiply 7(x+2) 2. Multiply 3a2b(2b2 + 4ab)
Daily Learner Outcome (DOK Level): I will be able to multiply a polynomial by a monomial. (Section 4.5)
Related Activities: Students will use the distributive property combined with lesson 4.3 to multiply polynomials by monomials. Students will be able to practice combining like terms once they performed the multiplication once again practicing order of operations.
Formative Assessment: Quiz over previous sections
Daily Learner Outcome (DOK Level): I will be able to raise powers to powers. (Section 4.4) Related Activities: Students can explore how to raise monomials to powers by rewriting terms in an expanded form and them creating the simplified answer in order to learn the rules of raising monomials to powers. (am)n
Formative Assessment: 1. (3x3)2 2. (3x)2(2x)3
Daily Learner Outcome (DOK Level): I will be able to multiply a polynomial by a polynomial. (Section 4.6) I will be able to use the FOIL method. (Section 5.4)
Related Activities: Students will learn about multiplying polynomials by polynomials by using the distributive property multiple times. Students will also practice combining like terms.
Formative Assessment: 1. (x+2) (x+3) 2. (3x+1) (2x-5)
Daily Learner Outcome (DOK Level): I will be able to transform formulas in order to solve to specific variables. (Section 4.7)
Related Activities: Students will briefly discuss how formulas are important in math and science and will list a few formulas they know. Examples will be given on how to rewrite a formula to solve for a specific variable. Students will practice several on an assignment.
Formative Assessment: 1. Solve the given formula for r: C = 2πr 2. Solve the given formula for n: L = a + (n-1)d
Daily Learner Outcome (DOK Level): I will be able to set up area problems and multiply them out using previous properties(Section 4.9).
Formative Assessment: A rectangle is 5 cm longer than it is wide. Its length and width are both increased by 3 cm, its area is increased by 60 cm2. Find the dimensions of the original rectangle.
Daily Learner Outcome (DOK Level): I will be able to set up area problems and multiply them out using previous properties(Section 4.9).
Related Activities: Related Activities: Students will be shown examples of how to translate a sentence into an area problem. Once they are comfortable with translating into an equation, they will practice solving these equations. Students will learn what the solutions mean.
Formative Assessment:
Daily Learner Outcome (DOK Level): Review
Related Activities:Review Exercises in class
Formative Assessment: Daily Learner Outcome (DOK Level): Review
Related Activities: Review Exercises in class
Formative Assessment:
Daily Learner Outcome (DOK Level): Test
Related Activities:
Formative Assessment: Test
Identify strategies that will be used for students who don’t master the Core Content and Program of Studies Standards. Individual Interventions
Small Group Interventions
Re-teaching Strategies