Curriculum / Math / 8th Grade / Unit 1: Exponents and Scientific Notation / Lesson 4
Math
Unit 1
8th Grade
Lesson 4 of 15
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Lesson Notes
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Investigate exponent patterns to write equivalent expressions.
The core standards covered in this lesson
8.EE.A.1 — Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × 3<sup>-5</sup> = 3<sup>-3</sup> = 1/3³ = 1/27.
The foundational standards covered in this lesson
6.EE.A.1 — Write and evaluate numerical expressions involving whole-number exponents.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
What is the value of the expression:
$${3^52^33^22^2\over{3^32^53^4}}$$
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If Exponent Rules are Aspirin, then How Do You Create the Headache? by Dan Meyer is made available at dy/dan under the CC BY 4.0 license. Accessed Aug. 4, 2017, 9:42 a.m..
The following statements are incorrect. For each statement,
a. $${8^3(8^5)=8^{15}}$$
b. $${2^4\cdot 3^4=6^8}$$
Thank You Math Mistakes is made available by Andrew Stadel on Divisible by 3 under the CC BY-NC-SA 3.0 license. Accessed Aug. 4, 2017, 9:49 a.m..
A set of suggested resources or problem types that teachers can turn into a 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.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Jake believes that $${{30^5\over30^4}\times 30 =1}$$.
Do you agree with Jake? If yes, explain why he is correct. If not, then give the correct answer and an argument to convince Jake that your answer is correct.
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.
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Apply the product of powers rule and the quotient of powers rule to write equivalent, simplified exponential expressions.
Topic A: Review of Exponents
Review exponent notation and identify equivalent exponential expressions.
Standards
8.EE.A.1
Evaluate numerical and algebraic expressions with exponents using the order of operations.
Investigate patterns of exponents with positive/negative bases and even/odd bases.
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Topic B: Properties of Exponents
Apply the power of powers rule and power of product rule to write equivalent, simplified exponential expressions.
Reason with zero exponents to write equivalent, simplified exponential expressions.
Reason with negative exponents to write equivalent, simplified exponential expressions.
Simplify and write equivalent exponential expressions using all exponent rules.
Topic C: Scientific Notation
Write large and small numbers as powers of 10.
8.EE.A.38.EE.A.4
Define and write numbers in scientific notation.
8.EE.A.3
Compare numbers written in scientific notation.
Multiply and divide with numbers in scientific notation. Interpret scientific notation on calculators.
8.EE.A.4
Add and subtract with numbers in scientific notation.
Solve multi-step applications using scientific notation and properties of exponents.
8.EE.A.18.EE.A.38.EE.A.4
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