Exponents and Scientific Notation

Lesson 9

Math

Unit 1

8th Grade

Lesson 9 of 15

Objective


Simplify and write equivalent exponential expressions using all exponent rules.

Common Core Standards


Core Standards

  • 8.EE.A.1 — Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × 3-5 = 3-3 = 1/3³ = 1/27.

Criteria for Success


  1. Apply any or all exponent rules to write equivalent exponential expressions that are simplified or use fewer bases or factors. 
  2. Justify each step in order to know that each expression is equivalent.
  3. Reason with positive and negative bases and exponents.

Tips for Teachers


The goal of this lesson is for students to continue practicing with writing equivalent exponent expressions, now using all the rules and strategies they have learned. This can also be used as a flex day, depending on the needs of your particular students. The problem set guidance includes options for independent work as well as whole class or small group activities.

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Anchor Problems


Problem 1

Find $$n$$ so that the number sentence below is true:

$${2^3\cdot4^3 = 2^3\cdot2^n=2^9}$$

Then use your response above to explain why $${2^3\cdot4^3=2^9}$$.

Guiding Questions

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References

EngageNY Mathematics Grade 8 Mathematics > Module 1Mid Module Assessment Task

Grade 8 Mathematics > Module 1 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, 5:17 p.m..

Problem 2

Write a simplified, equivalent expression for the one shown below:

$${4x^2(2y^2)^{-1}\over{2x^{-2}y^0}}$$

Guiding Questions

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Problem Set

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

Target Task


If $$x$$ is a positive integer greater than 1, then which of the following will be positive? Select all that apply.

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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.

  • Use any other problems not used from previous lessons.

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Lesson 8

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Lesson 10

Lesson Map

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

Topic A: Review of Exponents

Topic B: Properties of Exponents

Topic C: Scientific Notation

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