HSN-RN.A.1

Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 51/3 to be the cube root of 5 because we want (51/3)3 = 5(1/3)3 to hold, so (51/3)3 must equal 5.

 
13 Lesson(s)
   

Exponentials and Logarithms: LOUD and CLEAR!

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This engaging lesson allows the students to apply logarithms to the real world! After finishing the study, students will think twice before playing their music too loud!

 
Favorites (4)
 
Resources (22)
 
Reflections (1)
decibel meter photo
   

Simplify and Rewrite Radicals as Rational Exponents and Vice Versa.

Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The Laws of Exponents Still Apply! To Fractional Exponents.

 
Favorites (9)
 
Resources (12)
rational exponents 2
   

Rational Exponents

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

Keep students from being irrational about rational exponents with this lesson.

 
Favorites (12)
 
Resources (28)
 
Reflections (1)
image rational
   

Introduction to Exponential Functions - Rational Exponents

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This multi-faceted lesson creatively activates the students' prior knowledge of exponents in a fun and engaging way - it also includes a “far-out” example that leaves them with a hunger to learn “exponentially” more!

 
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Resources (13)
 
Reflections (2)
opening activity
   

Real Number Exponents

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Amelia Jamison
Caldwell, ID
Environment: Rural
 
Big Idea:

It's not enough to be rational, let's get real with exponents.

 
Resources (23)
image real number
   

An "Exponentially" Rewarding Battle!

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This lesson serves as a “Battleship” review of real number exponents (both irrational and rational) as well as solving exponential equations. Students engage in battle while trying to sink a partner’s fleet of answers!

 
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Resources (27)
 
Reflections (2)
battle action
   

Discovering Solutions to Exponential Equations

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

Students will be challenged to make use of structure (and experiences in previous lessons) to solve their first exponential equations!

 
Favorites (2)
 
Resources (15)
 
Reflections (1)
student sample a
   

Productive Struggle - A Pre-Spring Break Challenge of Exponential Functions

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This lesson (taking place on the day before spring break) is designed to keep the students engaged – rather than mentally hitting the beach early!

 
Resources (11)
a pre spring break struggle
   

Rewriting Radical and Rational Exponents (Plus Exponents Review)

Algebra I » Unit: Exponential Functions
Algebra I » Unit: Exponential Functions
Jason Colombino
Salem, MA
Environment: Urban
 
Big Idea:

Students review basic rules of exponents and use these rules to rewrite radical and rational exponents!

 
Favorites (5)
 
Resources (22)
 
Reflections (1)
exponents
   

Real Number Exponents

Algebra II » Unit: Exponential and Logarithmic Functions
Algebra II » Unit: Exponential and Logarithmic Functions
Jarod Hammel
Huntington, IN
Environment: Suburban
 
Big Idea:

This building-block lesson includes a touch of technology, collaboration, and critical thinking as the students further familiarize themselves with the rules of exponents – but more importantly, extend these rules to irrational exponents

 
Favorites (4)
 
Resources (17)
 
Reflections (1)
sticky note graph 2
   

Rational Exponents

Algebra II » Unit: Exponents & Logarithms
Algebra II » Unit: Exponents & Logarithms
Jacob Nazeck
Fort Collins, CO
Environment: Suburban
 
Big Idea:

Mathematics is all about patterns, and exponents reveal some "power"-ful ones!

 
Favorites (4)
 
Resources (17)
 
Reflections (2)
exponential
   

Khan Academy and Simplifying Radicals

8th Grade Math » Unit: Gimme the Base: More with Exponents
8th Grade Math » Unit: Gimme the Base: More with Exponents
Shaun Errichiello
New York, NY
Environment: Urban
 
Big Idea:

We can use prime factorization to break down the number inside a radical sign and then use those factors to simplify the expression.

 
Favorites (2)
 
Resources (14)
 
Reflections (2)
ka and simp rad image cropped
   

Properties of Exponents

Algebra II » Unit: Exponential Functions
Algebra II » Unit: Exponential Functions
Colleen Werner
Ipswich, MA
Environment: Suburban
 
Big Idea:

Fractional exponents can be used in place of radical symbol. This can make working with radicals easier in some cases.

 
Favorites (2)
 
Resources (17)
 
Reflections (1)
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Common Core Math
 
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