Rational and Radical Functions Teacher Resources

Find Rational and Radical Functions lesson plans and worksheets
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Simplifying Radical Fractions Video

Simplifying Radical Fractions

9 mins 9th - 12th
CCSS: Designed
Rationalizing denominators of radical fractions is one of those skills that pulls together understanding of many different concepts. By carefully scaffolding from easy to hard examples and explaining each example step-by-step, this video...
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Know and/or Use Function Notation, Including Evaluating Functions for Given Values in Their Domain Video

Know and/or Use Function Notation, Including Evaluating Functions for Given Values in Their Domain

4 mins 8th - 11th
CCSS: Designed
Introduce the basics of evaluating a function using function notation with a video that makes connections between evaluating a function and substituting into an expression. The short presentation works through three examples of...
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How Do You Divide Two Rational Expressions? Video

How Do You Divide Two Rational Expressions?

10 mins 6th - 12th
An instructor walks viewers through a complicated problem in which she divides 2 rational expressions. For this problem, she has to find excluded values, use the zero product property, multiply, divide, cancel, and simplify. This video...
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Classes of Functions Worksheet

Classes of Functions

9th - 12th
In this radical functions worksheet, students solve 5 multiple choice problems. Students identify rational and radical functions given an equation or graph. Students identify functions that have continuous domains.
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Recognizing When Radical Expressions are Undefined Video
1 In 1 Collection

Recognizing When Radical Expressions are Undefined

6 mins 8th - 12th
CCSS: Designed
Many times budding algebrists are fine when plugging specific numbers into expressions, but less certain when the range of acceptable values is undetermined. This detailed presentation helps the class move from the point value to the...
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Domain and Range for Radical Functions Lesson Plan

Domain and Range for Radical Functions

9th - 11th
Students calculate the domain and range of a radical function. In this algebra lesson, students graph radical functions and identify the x and y values as they relate to the domain and range. They use transformations to move the graph...
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Functions: High School Common Core Math
46 Item

Functions: High School Common Core Math

9th - 12th
The high school math student should function as well as this collection does. Every standard in the Common Core Functions guide is covered with such resources as lesson plans, worksheets, and videos. Use what you need and put the fun back in functions. 
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Module 7: Modeling with Functions Unit

Module 7: Modeling with Functions

9th - 12th
CCSS: Designed
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and multiplication....
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Module 8: Modeling With Functions Unit

Module 8: Modeling With Functions

10th - 12th
CCSS: Designed
New ReviewSometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
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Solving Rational Equations Video

Solving Rational Equations

4 mins 7th - 11th
Continue your lecture on radical equations with this video, which features Sal solving a few more problems with his classic clarity and understandable way. Young mathematicians will benefit immensely from seeing his cool hand guide the...
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Solving the Unknown with Algebra: Lesson 3: Functions and Formulas/Square Roots Lesson Plan

Solving the Unknown with Algebra: Lesson 3: Functions and Formulas/Square Roots

6th - 9th
CCSS: Adaptable
This lesson has a number of fun worksheets for a pre-algebra or beginning algebra class. The main emphasis of this lesson is functions, formulas, and looking at square roots. It is the third lesson in a series on solving for unknowns,...
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Simplification of Radical Expressions Video

Simplification of Radical Expressions

11 mins 8th - 11th
CCSS: Designed
This light-hearted presentation starts with the basics of multiplying square roots and simplifying them with prime factorization. It then progresses through using these skills to normalize/rationalize rational expressions that contain...
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Rational Exponents—What are 2^1/2 and 2^1/3? Lesson Plan

Rational Exponents—What are 2^1/2 and 2^1/3?

9th - 12th
CCSS: Designed
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
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Module 2: Linear and Exponential Functions Unit

Module 2: Linear and Exponential Functions

8th - 10th
CCSS: Designed
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
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Multiplying and Dividing Expressions with Radicals Lesson Plan

Multiplying and Dividing Expressions with Radicals

9th - 10th
CCSS: Designed
That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math lesson provides explanations of properties used throughout the material. Scholars practice skills needed to multiply and divide radical...
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Add, Subtract and Multiply Simple Radical Expressions Video

Add, Subtract and Multiply Simple Radical Expressions

7 mins 8th - 11th
CCSS: Designed
Performing arithmetic with radical expressions is one of those summary tasks pulling together a surprising number of subskills. Learners need to simplify radicals, identify common radicands, perform FOIL, along with applying arithmetic...
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Evaluating Functions Using Function Notation Video

Evaluating Functions Using Function Notation

5 mins 9th - 11th
CCSS: Designed
An instructional video teaches pupils the meaning of function notation and how to evaluate functions with function notation. Color coding in the video demonstrates where to substitute values in the function.
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Function Notation Video

Function Notation

11 mins 8th - 11th
CCSS: Designed
Function, function, what is your notation. Introduce your class to function notation with a video that shows examples of how to evaluate functions at numerical values along with algebraic values. The last example shows pupils how they...
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Function Families and Their Connections Including Vertical Shift of an Absolute Value Function Video
1 In 1 Collection

Function Families and Their Connections Including Vertical Shift of an Absolute Value Function

5 mins 8th - 12th
CCSS: Designed
One of the strongest tools an algebra learner develops is the ability to quickly and accurately graph almost any given function. Often doing this quickly and accurately requires rigid transformations to a parent function, demonstrated in...
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Recognizing When a Rational Expression is Undefined Video
1 In 1 Collection

Recognizing When a Rational Expression is Undefined

5 mins 8th - 11th
CCSS: Designed
It only takes the denominator to be zero to make an expression undefined. A video resource makes the connection of undefined fractions to rational expressions. It points out that to determine when a rational expression is undefined, you...
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Radical Equations Handouts & Reference

Radical Equations

9th - 12th
CCSS: Adaptable
Provide students with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve using...
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Rewrite Rational Expressions: Common Core High School Algebra
12 Item

Rewrite Rational Expressions: Common Core High School Algebra

9th - 12th
CCSS: Adaptable
Students may dread the fraction, but don't let them dread the rational function. Here are some lessons, videos, and worksheets to help learners practice and comprehend the idea of rational functions, and see that they already know about some of the basics of fractions. 
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Piecewise Defined Functions Lesson Plan

Piecewise Defined Functions

9th - 11th
CCSS: Adaptable
Graph piecewise functions as your learners work to identify the different values that will make a piecewise function a true statement. They identify function notations and graph basic polynomial functions. This lesson includes a series...
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Multiply Radical Expressions Video
1 In 1 Collection

Multiply Radical Expressions

4 mins 8th - 11th
CCSS: Designed
This short presentation on multiplying radicals together and with the distributive property does a nice job of working out, step by step, three examples start to finish. Care is taken to separate the radicand multiplication from the...
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