Curriculum / Math / 8th Grade / Unit 1: Exponents and Scientific Notation / Lesson 13
Math
Unit 1
8th Grade
Lesson 13 of 15
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Lesson Notes
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Multiply and divide with numbers in scientific notation. Interpret scientific notation on calculators.
The core standards covered in this lesson
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 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
One sheet of $${8 {1\over2}}$$ " by $${11}$$ " paper weighs $${4.5\times10^{-3}}$$ kg. A school is expecting a delivery of $${100}$$ cases of paper which include a total of $${5\times10^5}$$ pieces of paper. How much does all the paper in the cases weigh?
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Light travels at a speed of approximately $${300,000,000}$$ meters per second. If the sun is approximately $${1.5\times10^{11}}$$ meters from Earth, how long, in seconds, does it take for sunlight to reach Earth? How long is this in minutes?
A student multiplied two numbers in an online scientific calculator and got the following result:
What does the answer in the calculator mean?
What are possible factors that the student entered into the calculator?
Calculate. Write your answer in scientific notation and standard form.
$${{6.6\times10^7\over{1.1\times10^{-1}}}\cdot {3\times10^{-5}}}$$
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
Grizzly bears hibernate for up to 220 days per year. While they hibernate, Grizzly bears don’t eat. During the rest of the year, Grizzly bears eat up to $$5.8 × 10^4$$ calories per day. What is the total number of calories a Grizzly bear eats in a year? Write your answer in decimal notation, scientific notation, and in words.
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
Add and subtract with numbers in scientific notation.
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
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
Compare numbers written in scientific notation.
8.EE.A.4
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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