CK-12 Foundation
Square Roots and Irrational Numbers: Estimating Radicals
Try out a resource using triangles to estimate radicals. An interactive app allows learners to approximate some irrational numbers involving square roots. They find the two consecutive numbers that an irrational number lies between by...
EngageNY
Square Roots
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
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
Concept: Square Root
In this square root worksheet, students solve problems with exponents. They find the square root of given numbers. Students ill in missing numbers on a radical clock face. This eleven-page worksheet contains notes, detailed instructions...
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
Developing an Understanding for Square Roots
In this algebra worksheet, students discover properties of squares while making squares with a Geoboard. There are two charts to complete and 15 questions.
Curated OER
Review of Pre-Algebra
Middle and high schoolers review topics covered Pre-Algebra. They solve problems questions dealing with exponents, square roots and absolute value. They use the rules of divisibility and identify prime numbers. This two-page on-line...
Curated OER
Finding and Estimating Square Roots
In this algebra instructional activity, students solve the square root through estimation and through the calculator. They graph their solutions on a number line. There are 4 questions with an answer key.
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....
CK-12 Foundation
Newton's Method
Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...
Curated OER
Estimating the Square- Root of Ten
In this algebra worksheet, students estimate the square root. They rewrite the root as an exponential function and solve. They use the correct function notation. There are 10 questions.
Curated OER
Simplifying Radicals
In this radical worksheet, students write given radical expressions in a square root form. Explanations and examples are provided at the beginning of the document. This two-page worksheet contains 24 problems. Answers are located at the...
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
The Pythagorean Theorem
Class members explore the estimation of irrational numbers in association with the Pythagorean Theorem. The first lesson of this module challenges pupils to use the Pythagorean Theorem to find unknown side lengths. When the length is not...
Concord Consortium
On the Road to Zirbet
The road to a greater knowledge of functions lies in the informative resource. Young mathematicians first graph a square root function in a short performance task. They then use given descriptions of towns and the key features of the...
Curated OER
Square Worksheet
In this square worksheet, students square given integers. They identify the base and the exponent. This one-page worksheet contains approximately 20 problems.
EngageNY
Comparing Irrational Numbers
Build on your classes' understanding of irrational numbers by comparing their values. The 13th lesson in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing these numbers on a...
Curated OER
Recursion, Roots and Newton's Methods
In this recursion worksheet, students determine the successive approximations of square roots by using the Babylonian Algorithm. They discuss how to derive Newton's Method from the microscopic approximation. This four-page worksheet...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 7
Assess pupil understanding of rational and irrational numbers with a mid-module assessment that is the 15th lesson in the 25-part series. The questions represent the objectives in the first half of the series. Topics include decimal...
Curated OER
Square Roots, Number Classification, Ordering & Graphing
Ninth graders identify numbers as rational or irrational. Using calculators estimation, and factoring methods, 9th graders compute the square root of numbers. They graph numbers in sequential order and round numbers integers to the...
Curated OER
Quotients Involving Square Roots; Extra Practice 35
In this math worksheet, students simplify fractions involving square roots. They must rationalize the denominators in ten problems. The final eight problems require students to approximate their answers to three decimal places.
Curated OER
Factoring Polynomials
In this polynomial worksheet, students solve polynomials by factoring and finding square roots. This two-page worksheet contains approximately 20 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...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target A
Take an irrational approach to numbers with a Smarter Balanced assessment that covers the introduction of irrational numbers. The nine items cover identifying irrational numbers, approximating them with rational numbers, and converting...