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Handout
Charleston School District

Comparing and Ordering Irrational Numbers on a Number Line

For Students 8th - 9th Standards
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...
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Lesson Plan
Curated OER

Make a Math Mascot

For Teachers 7th - 8th
Create a math mascot by identifying irrational and rational numbers. Learners will also solve linear equations.
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Worksheet
Curated OER

Irrational and Imaginary Root Theorems

For Students 9th - 11th
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...
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Workbook
1
1
Utah Education Network (UEN)

Probability, Percent, Rational Number Equivalence

For Students 7th Standards
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.
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Worksheet
Curated OER

Radicals and the Irrational Numbers

For Students 9th - 10th
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. 
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Worksheet
Curated OER

Number Sense and Operations

For Students 8th - 9th
In this number sense and operations instructional activity, students solve 15 different problems that include number lines and identifying various types of numbers. First, they solve a given equation and then check their work. Then,...
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Worksheet
Curated OER

The Rational Number System

For Students 7th - 8th
In this rational number system worksheet, students identify rational and irrational numbers. They use a Venn Diagram to place numbers in their correct number set. This five-page worksheet contains approximately 10 problems. Answers are...
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Lesson Plan
Curated OER

Rational, Irrational and Square Roots

For Teachers 7th - 8th
Students 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 students...
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Worksheet
Curated OER

The Real Number System: Rational or Irrational

For Students 9th - 12th
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.
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Activity
2
2
Illustrative Mathematics

Rational or Irrational?

For Teachers 9th - 12th Standards
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...
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Lesson Plan
Ohio Department of Education

Number Subsets: Winning the Number Game - Grade Eight

For Teachers 7th - 9th
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.
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Printables
Chapman University

e Poster

For Teachers 9th - Higher Ed
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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Worksheet
Curated OER

The Irrational Numbers

For Students 9th - 11th
In this Algebra I/Algebra II instructional activity, students identify rational and irrational numbers.  The one page instructional activity contains a combination of ten multiple choice and free response questions.  The answers are...
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Lesson Plan
Curated OER

Discriminating Against the Zero

For Teachers 9th - 12th Standards
Students explore the concept of quadratic equations.  In this quadratic equations instructional activity, students find the roots or zeros of quadratic equations using the quadratic formula.  Students give examples of functions with 2...
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Worksheet
Curated OER

My Test Book: Rational and Irrational Numbers

For Students 6th - 8th
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.
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Worksheet
Curated OER

Nonterminating Decimals Worksheet

For Students 8th - 9th
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.
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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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Handout
Charleston School District

Evaluation of Roots

For Students 8th Standards
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...
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Activity
MENSA Education & Research Foundation

Pi Day Fun!

For Teachers 6th - 8th Standards
In this multi-faceted introduction to pi, participants perform a bevy of pi-related activities. Ranging from measuring household items to singing pi songs and reading pi stories, this fun and non-intimidating resource serves to bring up...
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Lesson Plan
EngageNY

Infinite Decimals

For Students 8th Standards
Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....
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Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Claim 3

For Teachers 9th - 12th Standards
Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...
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Lesson Plan
EngageNY

Decimal Expansions of Fractions, Part 2

For Students 8th Standards
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
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Lesson Plan
EngageNY

Decimal Expansion of Pi

For Students 8th Standards
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges. 
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Lesson Plan
Curated OER

Rational, Irrational and Square Roots

For Teachers 7th
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....

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