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Lesson Plan
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Alabama Learning Exchange

Classifying Complex Numbers

For Teachers 10th - 12th Standards
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
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Interactive
CK-12 Foundation

The Real Numbers: Number System

For Students 8th - 9th
Get real about learning the real number classification. Young mathematicians create a graphic organizer of the real number system using an interactive. They answer a set of challenge questions on the classifications of real numbers.
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Assessment
Charleston School District

Pre-Test Unit 7: Real Numbers

For Students 8th - 9th Standards
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...
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Worksheet
Kuta Software

Sets of Real Numbers

For Students 7th - 9th Standards
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...
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Lesson Plan
Curated OER

Real Numbers in the Real World

For Teachers 6th - 8th
Delve into the concept of operating on the set of real numbers! In this operating with the set of real numbers instructional activity, pupils perform order of operations on the set of real numbers using a calculator.
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Lesson Plan
Curated OER

Number Sense: Real Numbers

For Teachers 6th - 12th Standards
Using a scientific calculator and an 11-page guide sheet, middle schoolers investigate real numbers and problem-solving properties. The publisher links this resource to Common Core standard for seventh grade math, but you may find it a...
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Lesson Plan
EngageNY

Irrational Exponents—What are 2^√2 and 2^π?

For Teachers 9th - 12th Standards
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
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Activity
Illustrative Mathematics

Identifying Rational Numbers

For Teachers 7th - 9th Standards
Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward worksheet that is a handy tool for...
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Lesson Plan
Illustrative Mathematics

Calculating and Rounding Numbers

For Teachers 7th - 9th Standards
Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...
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Lesson Plan
Illustrative Mathematics

Converting Decimal Representations of Rational Numbers to Fraction Representations

For Teachers 7th - 9th Standards
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such...
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Lesson Plan
Illustrative Mathematics

Irrational Numbers on the Number Line

For Teachers 7th - 9th Standards
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not clear. It...
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Worksheet
Curated OER

Square Roots and Real Numbers

For Students 9th
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...
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Worksheet
Curated OER

Properties of Real Numbers

For Students 8th - 10th
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.
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Assessment
Charleston School District

Review Unit 7: Real Numbers

For Students 8th Standards
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...
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Lesson Plan
Illustrative Mathematics

Comparing Rational and Irrational Number

For Teachers 7th - 9th Standards
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
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Handout
Charleston School District

Identifying Irrational Numbers

For Students 8th - 9th Standards
These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them. 
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Worksheet
Curated OER

myTestBook.com Rational and Irrational Numbers

For Students 7th - 9th
In this rational and irrational numbers activity, students answer multiple choice questions about rational and irrational numbers. Students complete 20 questions.
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Worksheet
Curated OER

Properties of Real Numbers

For Students 8th - 10th
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...
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Lesson Plan
Curated OER

The Real Number System

For Teachers 7th - 8th
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.
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Worksheet
Curated OER

Square Roots and Real Numbers

For Students 9th
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...
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Worksheet
Curated OER

Properties of Real Numbers

For Students 9th
In this properties of real numbers worksheet, 9th graders solve and complete 24 different problems that include applying the various property types of real numbers. First, they name the set of numbers to which each number belongs. Then,...
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Worksheet
Curated OER

Exploring Real Numbers

For Students 11th
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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PPT
Curated OER

Real Numbers (as Opposed to Fake Numbers?)

For Teachers 5th - 7th
Students read about real numbers and subsets of the real number set. They define and see examples of rational numbers, irrational numbers, and integers.
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Worksheet
Curated OER

The Irrational Numbers

For Students 9th - 11th
In this algebra worksheet, students solve rational numbers using addition, subtraction and multiplication. They identify the rules of solving rational and irrational numbers. There are 50 questions on 6 pages.