Curriculum / Math / 8th Grade / Unit 1: Exponents and Scientific Notation / Lesson 12
Math
Unit 1
8th Grade
Lesson 12 of 15
Jump To
Lesson Notes
There was an error generating your document. Please refresh the page and try again.
Generating your document. This may take a few seconds.
Are you sure you want to delete this note? This action cannot be undone.
Compare numbers written in scientific notation.
The core standards covered in this lesson
8.EE.A.3 — Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 × 10<sup>8</sup> and the population of the world as 7 × 10<sup>9</sup>, and determine that the world population is more than 20 times larger.
8.EE.A.4 — Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
The foundational standards covered in this lesson
4.NBT.A.1 — Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
5.NBT.A.1 — Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
5.NBT.A.2 — Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
The Fornax Dwarf galaxy is $${4.6\times10^5}$$ light-years away from Earth, while Andromeda is $${2.430\times10^6}$$ light-years away from Earth. Which is closer to Earth?
Upgrade to Fishtank Plus to view Sample Response.
Grade 8 Mathematics > Module 1 > Topic B > Lesson 13 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..
Subatomic particles are smaller than atoms. The average lifetime of the tau lepton particle is $${2.906\times10^{-13}}$$ seconds, and the average lifetime of the neutral pion particle is $${8.4\times10^{-17}}$$ seconds. Which subatomic particle has a longer average lifetime?
The population of Fresno, CA is approximately 500,000 people. The population of California state is approximately $${4\times10^7}$$. How many times greater is the population of the state than the population of the city?
A single piece of cat food weighs $${4.5\times10^{-4}}$$ kg. The plastic bowl that holds the cat food weighs $${9\times10^{-1}}$$ kg. The weight of the bowl is about how many times larger than the weight of a single piece of cat food?
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
Nyan Cat travels at $$4.2\times10^2$$ miles per hour. Grumpy Cat travels at a pokey $$7\times10^{-1}$$ miles per hour.
a. How many times faster is Nyan Cat traveling than Grumpy Cat?
b. The Peregrine Falcon, the fastest bird, can fly up to half of Nyan Cat’s speed. How fast can a Peregrine Falcon fly? Write your answer in decimal notation and scientific notation.
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 and divide with numbers in scientific notation. Interpret scientific notation on calculators.
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.
Create a free account to access thousands of lesson plans.
Already have an account? Sign In
Topic B: Properties of Exponents
Investigate exponent patterns to write equivalent expressions.
Apply the product of powers rule and the quotient of powers rule to write equivalent, simplified exponential expressions.
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
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
See all of the features of Fishtank in action and begin the conversation about adoption.
Learn more about Fishtank Learning School Adoption.
Yes
No
We've got you covered with rigorous, relevant, and adaptable math lesson plans for free