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Khan Academy

Khan Academy: Simplify Square Root Expressions

For Students 9th - 10th Standards
Practice simplifying expressions with multiple radical terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
Khan Academy

Khan Academy: Combining Like Terms With Rational Coefficients

For Students 6th - 8th Standards
Practice combining like terms for expressions that have rational coefficients. This requires adding and subtracting fractions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Unit Plan
Sophia Learning

Sophia: Simplifying Radical Expressions

For Students 9th - 10th
This video lesson demonstrates how to simplify radical expressions by rationalizing the denominator. The tutorial includes detailed examples.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Easy Rational Function Exercises

For Students 9th - 10th Standards
Provides a set of basic exercises on rational expressions, complete with solutions and hints for students.
Lesson Plan
Other

Nearpod: Exponent Rules: Transforming Expressions

For Teachers 9th - 10th Standards
In this instructional activity on rational exponents, students explore how-to transform expressions with exponents.
Lesson Plan
Other

Nearpod: Exponent Rules: Rational Exponents

For Teachers 9th - 10th Standards
In this lesson on rational exponents, students explore how to simplify exponents that are fractions and negative exponents.
Unit Plan
PBS

Pbs: Simplifying the Sum of Two Algebraic Expressions

For Students 6th - 8th
Simplify expressions with rational numbers using the distributive property of multiplication. This student-generated video focuses on using the distributive property to create equivalent expressions when multiplying by negative numbers...
Unit Plan
PBS

Pbs: Simplifying an Algebraic Expression

For Students 6th - 8th
Simplify expressions with rational numbers using the distributive property of multiplication. This student-generated video focuses on using the distributive property to create equivalent expressions when multiplying by negative numbers...
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Partial Fractions

For Students 9th - 10th
Detailed math tutorial features notes and examples that take a look at the process of partial fractions and finding the partial fraction decomposition of a rational expression.
Activity
Interactive Mathematics

Interactive Mathematics: Factoring and Fractions

For Students 9th - 10th Standards
Polynomials are the focus of these lessons, concentrating on factoring and special products to work with rational expressions. Interactive tools of Live Math and Scientific Notebook are used to provide animated solutions to the examples....
eBook
Math Planet

Math Planet: Algebra 2: Rational Expressions: Variation

For Students 9th - 10th
Provides an explanation and examples of variation.
Unit Plan
Khan Academy

Khan Academy: Nested Fractions

For Students 9th - 10th
Simplify rational expressions that contain rational expressions within their numerators or denominators. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Properties of Exponents (Rational Exponents)

For Students 9th - 10th Standards
Rewrite exponential expressions (where the exponent can be a fraction) using the properties of exponents. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N rn.a.1: Evaluating Exponential Expressions

For Teachers 9th - 10th Standards
The goal of this task is to use properties of exponents for whole numbers in order to explain how expressions with fractional exponents are defined. Aligns with the N-RN.A.1 standard.
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Paul Dawkins

Paul's Online Notes: Rational Exponents: Practice Problems

For Students 9th - 10th Standards
Practice exercise reviews rational exponents including how to simplify or evaluate expressions and write the answer with either positive or no exponents.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Graphing Rational Functions

For Teachers 9th - 10th Standards
In this task, students interact with a Desmos app by moving sliders and making observations about features of the graphs and the structures of the expressions of the functions. Aligns with F-IF.C.7.d.
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Oswego City School District

Regents Exam Prep Center: Discovering the Laws of Rational Exponents

For Students 9th - 10th Standards
This online tutorial explains how the laws of rational exponents are used to simplify expressions. The examples show exactly how the process is done. Click on the "Topic Index" to find related lessons, practice activities, and teacher...
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Khan Academy

Khan Academy: Rational Exponents Challenge

For Students 9th - 10th
Choose equivalent forms of radical and exponential expressions.
Unknown Type
Khan Academy

Khan Academy: Properties of Exponents Intro (Rational Exponents)

For Students 9th - 10th Standards
Rewrite exponential expressions (where the exponent can be a fraction) using the properties of exponents.
Unit Plan
Khan Academy

Khan Academy: Equivalent Expressions With Negative Numbers

For Students 6th - 8th
Practice finding equivalent multiplication and division expressions. Numbers in these problems may be negative. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N rn.a.1: Evaluating a Special Exponential Expression

For Teachers 9th - 10th Standards
The purpose of this task is to study the rules of exponents in the context of trying to make sense of a challenging mathematical expression. Teachers will critically analyze each student's argument. Aligns with N-RN.A.1.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Mixed Expressions

For Students 9th - 10th Standards
Find a quick, concise explanation of a mixed expression. An example is given and clearly explained.
Unit Plan
Khan Academy

Khan Academy: Rational Function Points of Discontinuity

For Students 9th - 10th Standards
Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...
Activity
Oswego City School District

Regents Exam Prep Center: Adding and Subtracting Fractions

For Students 9th - 10th Standards
Use this site to learn how to add and subtract algebraic fractions, even if there aren't common denominators. Provides plenty of examples.

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