Curriculum  /  Math  /  9th Grade  /  Unit 6: Exponents and Exponential Functions  /  Lesson 2

Exponents and Exponential Functions

Lesson 2

Math

Unit 6

9th Grade

Lesson 2 of 22

Objective

Add and subtract polynomial expressions using 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.C.7

Criteria for Success

  1. Understand a polynomial as a sum of terms in which each term includes only multiplication as an operator. 
  2. Identify the degree and leading coefficient for polynomials. 
  3. Find the sum or difference of polynomials using the properties of operations and write polynomials in standard form.

Tips for Teachers

In Lessons 2 and 3, students briefly study polynomials in order to apply properties of operations and exponents to mathematical situations. They will study polynomials more in depth in Algebra 2.

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Anchor Problems

25-30 minutes

Problem 1

A polynomial is given below.

$${10-4x+x^5+3x^2-x-6x^2}$$

a.   Write the polynomial using the fewest number of terms possible. Write the polynomial in standard form. 

b.   Identify the degree and leading coefficient of the polynomial. 

Guiding Questions

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Problem 2

Find each sum or difference. Write your answers in standard form.

a.   $${(4x^2+x+7)+(2x^2+3x+1)}$$

b.   $${(3x^3-x^2+8)-(x^3+5x^2+4x-7)}$$

c.   $${3(x^3+8x)-2(x^3+12)}$$

d.   $${(3+1)+6(p-8)-(p+2)}$$

Guiding Questions

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References

EngageNY Mathematics Algebra I > Module 1 > Topic B > Lesson 8 — Exercise 4

Algebra I > Module 1 > Topic B > Lesson 8 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..

Modified by Fishtank Learning, Inc.

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

Simplify the expression. Write your answer in standard form.

$${x^2-4(x-8x^2)+(5+10x)}$$

Problem 2

Write a polynomial addition problem that has a sum of $${m^8-m^6+m^4}$$.

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

Multiply polynomials using properties of exponents and properties of operations.

Lesson 3
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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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