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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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 WorksheetClasses of Functions Worksheet

Classes of Functions

9th - 12th
In this radical functions learning exercise, 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 PlanDomain and Range for Radical Functions Lesson Plan

Domain and Range for Radical Functions

9th - 11th
Learners 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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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 PlanSolving 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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Module 2: Linear and Exponential Functions Unit

Module 2: Linear and Exponential Functions

8th - 10th
CCSS: Designed
New ReviewWrite, 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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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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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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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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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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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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Rewrite Rational Expressions: Common Core High School Algebra
12 Item

Rewrite Rational Expressions: Common Core High School Algebra

9th - 12th
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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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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Unit Plan: Exponential and Logarithmic Functions Assessment

Unit Plan: Exponential and Logarithmic Functions

10th - 12th
CCSS: Adaptable
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction and homework...
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Operations on Functions WorksheetOperations on Functions Worksheet

Operations on Functions

9th - 12th
In this operations and functions worksheet, students add, subtract, multiply, and divide functions.  This one-page worksheet contains 18 multi-step problems. 
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Exploring Power Functions 2 Lesson PlanExploring Power Functions 2 Lesson Plan

Exploring Power Functions 2

9th - 12th
CCSS: Designed
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
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Piecewise Defined Functions Lesson PlanPiecewise 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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Simplifying a Radical Expression Video
1 In 1 Collection

Simplifying a Radical Expression

8 mins 9th - 12th
CCSS: Designed
Starting from the basic definition of a radical as a square root, this short but deep presentation walks the learner through irrational numbers, using prime factorization to simplify square roots, and rationalizing denominators. Each...
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Solving Equations with Radicals Lesson Plan

Solving Equations with Radicals

8th
CCSS: Designed
Show learners how to develop a procedure for solving equations using radicals with the fifth lesson of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round out...
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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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