Curated OER
Add Positive And Negative Numbers
Scholars investigate the concept of adding positive and negative numbers. They practice adding using the number line for scaffolding. This can be done as a game for younger learners, but may also be helpful for engaging the older pupils.
Curated OER
The Real Number System: Rational or Irrational
In this real numbers worksheet, learners determine if 14 expressions when simplified are rational or irrational. Students take the square and cube roots of numbers to determine if the result is rational or irrational.
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...
Curated OER
Real Number System Graduated Bowl Activity
Eighth graders determine which numbers are rational numbers. For this number lesson students answer a series of questions related to natural and whole numbers as well as integers and rational numbers. Students work cooperatively in groups.
Charleston School District
Comparing and Ordering Irrational Numbers on a Number Line
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
Curated OER
Irrational and Imaginary Root Theorems
In this irrational and imaginary root theorem worksheet, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page worksheet contains 22...
Curated OER
Number Theory and The Real Numbers
For this algebra worksheet, 9th graders define rational and irrational numbers and answer questions about properties of real numbers. There are 38 questions on this test.
Curated OER
Numbers 1.1
In this numbers 1.1 worksheet, learners solve 64 problems about all kinds of numbers: rational, irrational, prime, composite, square roots, fractions, decimals.
Curated OER
Whole Numbers
A game is a great way to learn. Study what makes an integers, their traits, and characteristics. This lesson includes 3 separate activities intended to promote an understanding of integers, whole numbers, and opposites. The class is...
Curated OER
Numbers Beyond Reason!
Fourth graders use the story of the discovery of irrational numbers to explore the different classes of numbers, the different ways in which numbers may be represented, and how to classify different numbers into their particular class.
Curated OER
Radicals and the Irrational Numbers
In this Integrated Algebra worksheet, learners differentiate between rational and irrational numbers and locate irrational numbers on a number line. The one page worksheet contains six problems. Answers are provided.
Curated OER
Rational and Irrational Numbers
Here is a rational and irrational numbers worksheet in which learners identify 10 different expressions related to various types of numbers. They determine whether each expression given is a rational or irrational number.
Curated OER
Which Quadrilateral Is It?
Young scholars prove conjectures about geometric figures on the plane or in space using coordinate geometry. They develop fluency in operations with real numbers, vectors and matrices using mental computation or paper-and-pencil...
Education Development Center
Sum of Rational and Irrational is Irrational
Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.
Curated OER
Algebra Worksheet: Number systems
This worksheet was originally created for a college level algebra class. It does contain some interesting questions about number and quantity that are important for algebra learners to understand. Natural numbers, integers, rational,...
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...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Curated OER
Algebra 1: Simplifying Radicals
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...
Curated OER
Nonterminating Decimals Worksheet
Use this decimals worksheet to have learners solve six problems in which two decimal numbers are presented. Pupils evaluate the two decimal numbers and then determine a number that would come in between the two given numbers.
Curated OER
Make a Math Mascot
Create a math mascot by identifying irrational and rational numbers. Learners will also solve linear equations.
Curated OER
Lesson 2 Ordering Numbers
Math wizards begin the lesson by comparing and ordering rational numbers. Using a number line, they discover the relationship between the numbers and practice ordering them in the correct way. They also review proper techniques for...
Curated OER
Rational, Irrational and Square Roots
Seventh graders identify rational and irrational numbers and then, estimate the square root of numbers that are not perfect squares. They then identify what the radical is and differentiate between that and a division symbol clearly....
Curated OER
My Test Book: Rational and Irrational Numbers
In this online interactive math skills activity, students solve 10 multiple choice math problems regarding rational and irrational numbers. Students may submit their answers to be scored.
Curated OER
Quadratics with Irrational Solutions
In this algebra worksheet, students apply the concepts of a right triangle to help them solve for the missing sides of a triangle. They use the quadratic formula to solve word problems. There are 5 problems with an answer key.