Curated OER
Signed Numbers
In this signed numbers worksheet, 6th graders solve and complete 4 different types of problems. First, they calculate each problem using a number line. Then, students solve each word problem as indicated.
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
Order in the Classroom
First graders define and identify integers, rational, irrational, real, and complex numbers. They place number cards in ascending and descending order.
Curated OER
Exploring Real Numbers
In this algebra learning exercise, 11th graders classify numbers as rational, irrational, integral and whole. They solve the equations and graph i ton a number line. There are 26 questions with an answer key.
Curated OER
Properties of Real Numbers
In this algebra worksheet, students identify and use the properties of real numbers to solve problems. They identify and differentiate between rational and irrational functions. There are 13 problems.
Curated OER
Squaring Function of Natural Numbers
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
Curated OER
Use Models to Compare and Order Integers
Students investigate the concept of integers and how they should occur in the realm of irrational numbers. The lesson includes the use of positive and negative integers. The lesson is a good foundation in order to move into calculating...
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...
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
Worksheet, Chapter 1: College Prep Algebra (Integers, Rational Numbers)
In this algebra worksheet, students evaluate equations, identify the inverse of numbers, translate words into a number sentence, compare expressions, and solve radicals. This six page worksheet contains a variety of 67 problems.
Curated OER
Properties of Real Numbers
In this Algebra II worksheet, students classify numbers by naming the subset or subsets of the real numbers to which it belongs. The two page worksheet provides explanation and examples in addition to ten practice problems. Solutions are...
Curated OER
Number Sense and Numeration
Students add and subtract integers. In this algebra lesson, students discuss number sense as they sort numbers in the correct order. They analyze and label numbers differentiating between rational and irrational numbers.
Curated OER
Do You Have Number Sense?
Seventh graders are grouped according to their ability level with a captain who is elected by the students in that particular group. Students demonstrate their knowledge of rational and irrational numbers by defining them. Students use a...
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...
EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper...
Ohio Department of Education
Number Subsets: Winning the Number Game - Grade Eight
Young leearners identify subsets of the real number system and play a number game to identify natural numbers, whole numbers, integers, rational and irrational numbers.
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...
Illustrative Mathematics
Calculating the square root of 2
Does a calculator give you the exact value of the square root of 2? Here, learners must decide if 1.414236 is equal to the square root of 2. They must also explain why the square root of 2 could never be equal to a terminating decimal....
EngageNY
The Long Division Algorithm
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
Curated OER
Positive and Negative Numbers
Pupils use blocks and markers to illustrate the processes of adding, subtracting, multiplying and dividing integers. In this mathematics instructional activity, learners use Algebra blocks to demonstrate multiplying polynomials.
Curated OER
Number Types: Where Vocabulary Meets Numbers
Rational, irrational, real, natural. All these words can refer to numbers. Who knew? Learners use the Visual Thesaurus and a semantic feature analysis grid to examine the different attributes of numbers. Step-by-step instructions for...
EngageNY
Converting Repeating Decimals to Fractions
Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson in this 25-part module helps reinforce...
Utah Education Network (UEN)
Probability, Percent, Rational Number Equivalence
Start seventh grade with a bang with the first chapter of an eight-part seventh-grade workbook series that asks learners to work through problems involving simple probability, percents, and rational number equivalence.
Chapman University
e Poster
An interesting poster or handout showing Euler's number, e, as the calculated sum of an infinite series. The fractions start out large and gradually get smaller and smaller in both value and size. Shows some of the unique and fascinating...
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