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...
EngageNY
A Focus on Square Roots
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions.
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,...
Curated OER
Squares, Square Roots, and Exponential Expressions
Students explore the concepts of square roots and exponential expressions. For this square root and exponential expression lesson, students complete an investigation called Building A Square Patio. Students use color tiles to develop the...
Curated OER
Dividing Radical Expressions
In this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
Curated OER
Rational Exponents
Investigate rational exponents in this math lesson. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
Curated OER
Babylonian Mathematics I
Learners examine a Babylonian clay tablet and the mathematics found on it as a catalyst to investigate a variety of mathematical ideas. They work with prime numbers, classify numbers as whole, integer, rational, or irrational and use...
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...
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...
Charleston School District
Estimating Values of Expressions
You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...
Curated OER
Square Roots and Real Numbers
In this square roots and real numbers activity, 9th graders solve and complete 12 different problems that include types of numbers. First, they find each square root, rounding to the nearest hundredth. Then, students evaluate each...
Curated OER
Rational Expressions Test with a Calculator
In this rational expression learning exercise, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This learning exercise is designed as a test to be completed with a calculator.
Curated OER
Square Roots and Real Numbers
In this square roots and real numbers worksheet, 9th graders solve and complete 40 different problems that include various sets of numbers. First, they determine the square root of each and round to the nearest hundredth. Then, students...
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...
Kuta Software
Quadratic Equations with Square Roots
There are many ways to solve a quadratic expression. Here is a resource that focuses on solving by square rooting the equation. Straightforward with a full answer key, these problems prepare learners for different types of questions they...
Curated OER
Square Roots
Learners differentiate between perfect roots and rational roots. In this algebra lesson, students perform operation using roots. They add, subtract, multiply and divide rational 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...
Curated OER
Rational Exponents
In this worksheet, 11th graders solve 10 different problems that include various computations with radicals. Answers are not included.
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...
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...
Curated OER
Regents Exam Questions: Rationalizing Denominators 1
In this rationalizing worksheet, learners simplify expressions containing rational numbers. They identify equivalent expressions containing fractions and square roots. This four-page worksheet contains 16 multiple-choice problems. An...
Curated OER
nth Roots and Rational Exponents
In this algebra worksheet, students evaluate 20 problems in which they work with nth roots and rational exponents. They write expressions using rational exponents and radical notation. They identify roots, and round answers to two...
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...