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
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...
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.
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...
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.
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
Solving Rational Equations
In this algebra worksheet, students solve rational equations. They add and subtract rational equations and check for extraneous roots. There are 16 questions with an answer key.
Curated OER
Higher Roots and Rational Exponents
In this higher roots worksheet, 9th graders solve and complete 40 various types of problems. First, they simplify each root by taking the number inside times another number. Then, students write out the root using rational exponents.
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
Organization and Simplifying Roots
Students simply roots and organize it. In this algebra lesson, students solve radicals by simplifying them. They solve for squares by taking the square root of both sides of the equation. They simplify and rationalize the denominator.
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.
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.
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
Watch Your P's and Q's
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
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...
Curated OER
Rational Root Theorem
In this polynomial activity, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page activity contains ten problems.
Curated OER
Roots of Polynomial Functions
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page...
EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th instructional activity in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends...
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
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
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...
Curated OER
Integrated Algebra Practice: Square Roots
In this square roots worksheet, students calculate the square roots of whole numbers and rational numbers. Seven problems have multiple choice answers. The remaining 13 problems are short answer. One problem involves graphing a function....
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...