Curriculum / Math / 8th Grade / Unit 1: Exponents and Scientific Notation / Lesson 1
Math
Unit 1
8th Grade
Lesson 1 of 15
Jump To
Review exponent notation and identify equivalent exponential 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
The first three lessons in this unit review exponent concepts and skills and approach standard 8.EE.1. Students may not have worked with some of these concepts since 6th grade and may need some review before engaging with standard-aligned content. These lessons may be combined or stretched as needed to meet the needs of your students.
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
Which is larger: $${3^5}$$ or $${5^3}$$?
How many times greater is $${2^8}$$ than $${2^2}$$?
All of the following expressions are equivalent to $${3^4}$$. Explain or show how this is true for each expression.
a. $${9^2}$$
b. $${3^2\cdot 9}$$
c. $${3^5 \div 3}$$
d. $${(-3)^4}$$
e. $${(3)^2\over\left({1\over3}\right)^2}$$
f. $${(3^2)^2}$$
You cut a piece of paper in half to get $${{1\over2}}$$ of the paper. You repeat this four more times. What fraction of the paper do you have after these five cuts? What fraction of the paper do you have after 15 cuts? Write your answers as exponentials.
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
Which of the following are equivalent to $${{2^4}}$$? Select all that apply. Then choose 2 of your selections and explain or show how they are equivalent to $${{2^4}}$$
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 2
Topic A: Review of Exponents
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
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.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