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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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Worksheet
Kuta Software

Adding Positive and Negative Numbers

For Students 5th - 8th Standards
Put your learners to the test and practice adding and subtracting with a variety of different numbers. Integers, decimals, fractions – it's all there to help your learners practice their skills with negative numbers. The first page of...
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Worksheet
Curated OER

Addition and Subtraction of Rational Expressions

For Students 9th - 11th
In this rational expression worksheet, students add and subtract fractional expressions. They completely factor the numerator and denominator. Explanations and examples are provided at the beginning of the document. This two-page...
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Worksheet
Curated OER

Worksheet, Chapter 1: College Prep Algebra (Integers, Rational Numbers)

For Students 9th - 12th
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.
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Worksheet
Curated OER

Rational and Irrational Numbers

For Students 8th - 9th
Here is a rational and irrational numbers learning exercise 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.
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Lesson Plan
Curated OER

Rational, Irrational and Square Roots

For Teachers 7th - 8th
Learners identify rational and irrational numbers and their use in mathematical functions. Through demonstration, students discover the difference between rational and irrational numbers and their use. Using estimation skills learners...
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Worksheet
Curated OER

Algebra I: nth Root and Rational Exponents

For Students 8th - 11th
This algebra learning exercise contains problems on converting between nth roots and rational exponents for numbers. It also includes problems on simplifying radicals having various indices and rational exponents. It does not include an...
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Lesson Plan
Curated OER

Multiplying Rational Expressions

For Teachers 12th - Higher Ed
In this rational expression worksheet, students simplify rational expressions. They write the product and quotient in lowest terms. This two-page worksheet contains five problems.
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Lesson Plan
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EngageNY

Equivalent Rational Expressions

For Students 10th - 12th Standards
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
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Lesson Plan
West Contra Costa Unified School District

Connecting Fractions and Rational Expressions

For Teachers 8th - 10th Standards
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
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Activity
Education Development Center

Sum of Rational and Irrational is Irrational

For Teachers 8th - 9th Standards
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.
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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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Lesson Plan
1
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EngageNY

Multiplying and Dividing Rational Expressions

For Students 10th - 12th Standards
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions. 
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Worksheet
Curated OER

The Real Number System: Rational or Irrational

For Students 9th - 12th
In this real numbers worksheet, high schoolers 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.
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Instructional Video3:09
New Mexico State University

Number Rights

For Students 2nd - 6th Standards
You do not have to be whole to be important. Individuals watch a video on the importance of rational numbers on the number line. Scholars use their knowledge to rename numbers on the number line as well as place rationals on a number...
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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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Lesson Plan
Curated OER

Lesson 2 Ordering Numbers

For Teachers 6th - 8th
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...
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Assessment
Noyce Foundation

Percent Cards

For Teachers 6th Standards
Explore different representations of numbers. Scholars convert between fractions, decimals, and percents, and then use these conversions to plot the values on a horizontal number line.
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Lesson Plan
EngageNY

Rational Exponents—What are 2^1/2 and 2^1/3?

For Teachers 9th - 12th Standards
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
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Assessment
1
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Illustrative Mathematics

Graphing Rational Functions

For Students 9th - 12th Standards
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
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Lesson Plan
Virginia Department of Education

Complex Numbers

For Teachers 10th - 12th
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they simplify complex number...
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Lesson Plan
Curated OER

Rationalizing Denominators

For Teachers 6th - 9th
In this math worksheet, young scholars find the solutions to the rational numbers using radicals. Then they express the answer in simplest form.
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Interactive
New Mexico State University

Pearl Diver

For Students 2nd - 6th Standards
Dive into the number line. Learners play a computer game that revolves around a number line as they try to collect pearls by diving at locations on a number line. As the game progresses, dive locations change from simple whole numbers to...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 7

For Students 8th Standards
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...

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