Curriculum  /  Math  /  9th Grade  /  Unit 6: Exponents and Exponential Functions  /  Lesson 3

Exponents and Exponential Functions

Lesson 3

Math

Unit 6

9th Grade

Lesson 3 of 22

Objective

Multiply polynomials using properties of exponents and properties of operations.

Common Core Standards

Core Standards

  • A.APR.A.1 — Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Foundational Standards

  • 7.EE.A.1
  • 8.EE.A.1
  • 8.EE.C.7

Criteria for Success

  1. Apply the distributive property to multiply a monomial by a polynomial. 
  2. Apply the distributive property more than once to multiply a polynomial by a polynomial. 
  3. Use precision when simplifying polynomial expressions; multiply coefficients of terms and add the exponents of like bases (Standard for Mathematical Practice 6). 
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Anchor Problems

25-30 minutes

Problem 1

Find the product.

$${4y^2(-3y+6y^5-4)}$$

Guiding Questions

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Problem 2

Find the product.

$${(y+1)(y^3-2y+5)}$$

Guiding Questions

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Problem 3

Simplify the expression. Write your answer in standard form.

$${2x^3(3x^4-x^2+x)-(2x^5-x^7)}$$

Guiding Questions

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Problem Set

15-20 minutes

Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task

5-10 minutes

Problem 1

Must the product of three polynomials again be a polynomial?

References

EngageNY Mathematics Algebra I > Module 1 > Topic B > Lesson 9 — Exit Ticket, Question #1

Algebra I > Module 1 > Topic B > Lesson 9 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Problem 2

Find $${(w^2+1)(w^3-w+1)}$$.

References

EngageNY Mathematics Algebra I > Module 1 > Topic B > Lesson 9 — Exit Ticket, Question #2

Algebra I > Module 1 > Topic B > Lesson 9 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Additional Practice

The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

Next

Solve mathematical applications of exponential expressions.

Lesson 4
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Exponent Rules, Expressions, and Radicals

Topic B: Arithmetic and Geometric Sequences

Topic C: Exponential Growth and Decay

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