Empty Layer.

Empty Layer.

Empty Layer.

Empty Layer.

Empty Layer.

Empty Layer.

Empty Layer.

Empty Layer.

Empty Layer.

Empty Layer.

Home

Professional Learning

Instructional StrategiesLesson PlansProfessional Learning

BetterLesson helps teachers and leaders make growth towards professional goals.

See what we offerLearn more about

- HSN-RN.A.1Explain 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 5<sup>1/3</sup> to be the cube root of 5 because we want (5<sup>1/3</sup>)<sup>3</sup> = 5<sup>(1/3)3</sup> to hold, so (5<sup>1/3</sup>)<sup>3</sup> must equal 5.
- HSN-RN.A.2Rewrite expressions involving radicals and rational exponents using the properties of exponents.

Ordering Exponents

8th Grade Math

Â» Unit:

Law and Order: Special Exponents Unit

Big Idea:Instead of seeing exponents as simply "repeated multiplication," we want students to find elegant and simple ways of comparing exponents.

Dividing Radicals Made Easy Through the History of Rationalizing

Algebra I

Â» Unit:

Radical Expressions, Equations, and Rational Exponents

Big Idea:The main idea of this lesson is that students compare dividing radicals by hand without rationalizing and realize why rationalizing came about and how it works.

Multiplying Radical Expressions

Algebra I

Â» Unit:

Radical Expressions, Equations, and Rational Exponents

Big Idea:The skill building in this lesson allows students to demonstrate the distributive property and multiplying two binomials with radical expressions.

Introduction to Radicals

Algebra I

Â» Unit:

Radical Expressions, Equations, and Rational Exponents

Big Idea:The point of this lesson is for students to understand the difference between exact and approximate solutions.

Simplify and Rewrite Radicals as Rational Exponents and Vice Versa.

Algebra I

Â» Unit:

Radical Expressions, Equations, and Rational Exponents

Big Idea:The Laws of Exponents Still Apply! To Fractional Exponents.

Gallery Walk of Application Problems Involving Radicals

Algebra I

Â» Unit:

Radical Expressions, Equations, and Rational Exponents

Big Idea:To Critique and Share Work, Knowledge, and Friendly Feedback! (MP3)

Stretching Exponential Functions (and your mind)

12th Grade Math

Â» Unit:

Exponential Functions and Equations

Big Idea:Studentsâ algebraic skills are reinforced as they discover that some different transformations are actually equivalent.

Rational Exponents

Algebra II

Â» Unit:

Exponential and Logarithmic Functions

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

Introduction to Exponential Functions - Rational Exponents

Algebra II

Â» Unit:

Exponential and Logarithmic Functions

Big Idea:This multi-faceted lesson creatively activates the students' prior knowledge of exponents in a fun and engaging way - it also includes a âfar-outâ example that leaves them with a hunger to learn âexponentiallyâ more!

Add and Subtract Radical Expressions

Algebra I

Â» Unit:

Radical Expressions, Equations, and Rational Exponents

Big Idea:To introduce like terms using Radicals from student's prior knowledge of like terms in Polynomials.

Real Number Exponents

Algebra II

Â» Unit:

Exponential and Logarithmic Functions

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

An "Exponentially" Rewarding Battle!

Algebra II

Â» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson serves as a âBattleshipâ review of real number exponents (both irrational and rational) as well as solving exponential equations. Students engage in battle while trying to sink a partnerâs fleet of answers!

Calculator Boot-Camp and Solving Exponential Equations

Algebra II

Â» Unit:

Exponential and Logarithmic Functions

Big Idea:This lesson places a high emphasis on teaching the students how to properly use a calculator when solving exponential/logarithmic equations.

Discovering Solutions to Exponential Equations

Algebra II

Â» Unit:

Exponential and Logarithmic Functions

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

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

Algebra II

Â» Unit:

Exponential and Logarithmic Functions

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

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 5^{1/3} to be the cube root of 5 because we want (5^{1/3})^{3} = 5^{(1/3)3} to hold, so (5^{1/3})^{3} must equal 5.

HSN-RN.A.2

Rewrite expressions involving radicals and rational exponents using the properties of exponents.