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
The Real Number System
Learners analyze the real number system. They discuss real numbers, rational and irrational numbers, integers, whole numbers, natural numbers and more of the real number in the system. They differentiate between all these numbers.
Charleston School District
Review Unit 7: Real Numbers
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...
Inside Mathematics
Rugs
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target B
There are only two options to consider: rational or irrational. Pupils review rational and irrational numbers by answering a set of eight questions provided in a PowerPoint presentation. Part of larger Claim 1 Item Slide Show series, the...
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...
Charleston School District
Pre-Test Unit 7: Real Numbers
Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...
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...
Houghton Mifflin Harcourt
Unit 8 Math Vocabulary Cards (Grade 6)
Additive inverse, expression, and irrational numbers are a few terms you'll find when you use a set of 22 flashcards designed to reinforce math vocabulary. The set includes two types of cards; a bold-faced word card, and a corresponding...
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...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target A
Don't get irrational about rational exponents. A PowerPoint presentation highlights the sample high school questions from the Smarter Balanced Assessment Consortium (SBAC) Claim 1 Target A item specifications. As one part of a larger...
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
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.
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...
West Contra Costa Unified School District
Polynomial Division
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
Curated OER
Simplify Radicals
Learners are introduced to the concept of radicals and how to use them in various situations. They review rational and irrational numbers while simplifying different number sentences. They also practice factoring perfect squares.
Curated OER
Real Number System
Ninth graders discuss the real number system and its' properties. In this algebra lesson, 9th graders discuss rational, irrational, closure, real numbers and the distributive property of algebra. They solve problems using these...
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...
Virginia Department of Education
Ground Zero
Don't harbor any negative feelings toward negative numbers. Scholars learn about different classifications of rational numbers, including negative integers. They also develop definitions of the opposite and the absolute value of a...
Kuta Software
Sets of Real Numbers
Real and unreal, rational and irrational, your learners will become experts at labeling numbers with this worksheet. A full sheet of different numbers requires your mathematicians to label each number with any category that fits that...
Curated OER
Subtraction With Integers
This thorough introduction to the concept of subtracting negative integers walk learners through the necessary steps using teacher modeling and guided practice. Number lines and various word problems are used to support understanding of...
Curated OER
Real Numbers (as Opposed to Fake Numbers?)
Students read about real numbers and subsets of the real number set. They define and see examples of rational numbers, irrational numbers, and integers.
Curated OER
Babylonian Mathematics 2
Students research Babylonian mathematics. They calculate simple surd numbers. Students find the fractional form of rational numbers expressed as decimals. They work with numbers in base 60.
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.
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