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Transcript
Unit 9 – Polynomials
Algebra I
3 Weeks
Essential Questions
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How can polynomials be simplified and applied to solve problems?
Can two algebraic expressions that appear to be different be equivalent?
How are the properties of real numbers related to polynomials?
Enduring Understandings
1. The properties of integers apply to polynomials.
2. Factors are a subset of a product and with the distributive property allow options in
solving polynomials.
3. Multiplying and factoring polynomials are related.
4. Solving polynomials involves the reversal of operations, the distributive property and
rules of exponents.
Content
Students will know…
Topics (Pearson):
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(8-1) Adding and Subtracting Polynomials
(8-2) Multiplying and Factoring
(8-3) Multiplying Binomials
(8-4) Multiplying Special Cases
(8-5) Factoring Quadratic Trinomials when
a=1
(8-7) Factoring Special Cases
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Standard Form
Factoring
Greatest Common Factor (GCF)
Monomial
Binomial
Trinomial
Polynomial
Difference of Squares
Perfect Square Trinomial
Unit 9 – Polynomials
Algebra I
3 Weeks
21st Learning Expectations
Students will be able to…
 Employ mathematical problem solving skills effectively.
 Make decisions and solve problems in independent and collaborative settings.
21st Century Learning Skills
Students will be able to…
 ML #1 – Make sense of problems and persevere in solving them.
 ML #2 – Reason abstractly and quantitatively.
Connecticut State Standards
CCSS
 A-SSE 3a. Factor a quadratic expression to reveal the zeros of a function it defines.
 A-APR 1. Understand that polynomials for a system analogous to integers, namely, they
are closed under the operations of addition, subtraction, and multiplication; add, subtract
and multiply polynomials.
Objectives
Students will be able to…
 Write polynomials in standard form.
 Classify polynomials.
 Add, subtract, and multiply polynomials.
 Expand a product of two binomials.
 Factor polynomials using the GCF, perfect square trinomials, and difference of squares.
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Unit 9 – Polynomials
Algebra I
3 Weeks
Assessments
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Quiz EU1 – Properties of Polynomials
Quiz EU2 – Factoring Polynomials using GCF
Quiz EU3 – Multiplying Binomials
Quiz EU4 – Factoring Special Cases
Unit Test – Polynomials
Resources
Algebra I Textbook – Pearson
Algebra Tiles
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