Curated OER
One of the Many Ways
Explore the concept of polynomials and determine the value and number of zeros for a given polynomial using the Rational Root Theorem. Then graph the polynomials and relate the number of zeroes to the degree of the polynomial.
Curated OER
Rational Exponents
Investigate rational exponents in this math instructional activity. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.
Illustrative Mathematics
Placing a Square Root on the Number Line
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
EngageNY
A Focus on Square Roots
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions.
Charleston School District
Evaluation of Roots
You mean the square root of five and five don't have the same value? Learners estimate the value of irrational roots. As they practice estimating the value, they increase their understanding of roots. The lesson is the fourth in a series...
Curated OER
Solving Rational Equations
In this algebra activity, students solve rational equations. They add and subtract rational equations and check for extraneous roots. There are 16 questions with an answer key.
Illustrative Mathematics
Identifying Rational Numbers
Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward worksheet that is a handy tool for...
Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
Curated OER
Rational Root Theorem
In this polynomial worksheet, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page worksheet contains ten problems.
University of Utah
Rational and Irrational Numbers
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
Willow Tree
Simplifying Square Roots
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root expressions,...
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
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...
Willow Tree
Rational vs. Irrational Numbers
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
Curated OER
Word Roots 7: SPECT, STA, VERT Intermediate Synonym or Antonym Word Puzzle
Use word roots to help your class develop vocabulary acquisition skills. This particular resource focuses on the word roots SPECT, STA, and VERT. Leaners choose an antonym and a synonym from a word bank for each of 6 given words, keeping...
Curated OER
How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
Curated OER
Building Boxes- Polynimial And Rational Functions
Young scholars investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how...
Illustrative Mathematics
Estimating Square Roots
No calculators! Assure your learners that they can find the square root of a large number. All they need are two known squares close by and a table. Come up with an additional practice and your number crunchers will have it mastered in...
Curated OER
Lesson 19: Rational Functions and Long Division
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...
Curated OER
Rationalize Denominators
Solve 10 different problems that include various rational expressions. First, learners rationalize the denominator in each set. Then, they write the conjugate for each binomial and determine the reciprocal. They also write an expression...
Curated OER
Square Roots
Students differentiate between perfect roots and rational roots. In this algebra lesson, students perform operation using roots. They add, subtract, multiply and divide rational expressions.
Curated OER
Algebra I: nth Root and Rational Exponents
This algebra worksheet contains problems on converting between nth roots and rational exponents for numbers. It also includes problems on simplifying radicals having various indices and rational exponents. It does not include an answer...
Curated OER
Solving Various Algebraic Equations for Real and Imaginary Roots
In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Education Development Center
Rational Exponents
It's rational to root for your class to learn about exponents. Scholars study rational exponents by reading a fictional dialogue between classmates. They analyze the conversation to understand the connection between rational exponents...
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