Curriculum / Math / 8th Grade / Unit 1: Exponents and Scientific Notation / Lesson 11
Math
Unit 1
8th Grade
Lesson 11 of 15
Jump To
Define and write numbers 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.
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
Suggestions for teachers to help them teach this lesson
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
What is the number? Write each number below in standard form.
a. $${30,000\times10^{-1}}$$
b. $${3\times10^3}$$
c. $${0.3\times10^4}$$
Estimating Length Using Scientific Notation from the Classroom Challenges by the MARS Shell Center team at the University of Nottingham is made available by the Mathematics Assessment Project under the CC BY-NC-ND 3.0 license. Copyright © 2007-2015 Mathematics Assessment Resource Service, University of Nottingham. Accessed Aug. 4, 2017, 1:07 p.m..
Write each number described below in scientific notation.
a. The distance from the earth to the sun is 92,955,807 miles.
b. The mass of a grain of salt is approximately 0.0000000585 kilograms.
Match each number in column A to a number in column B. One number in each column is missing, which must be written in to create the remaining pairs.
A set of suggested resources or problem types that teachers can turn into a problem set
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
Complete the table below. Then use the letters to order the values from least to greatest.
An example response to the Target Task at the level of detail expected of the students.
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.
Lesson 10
Lesson 12
Topic A: Review of Exponents
Review exponent notation and identify equivalent exponential expressions.
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.3 8.EE.A.4
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.1 8.EE.A.3 8.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
Access rigorous, relevant, and adaptable math lesson plans for free