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Worksheet
Curated OER

Rational Root Theorem

For Students 9th - 10th
In this polynomial worksheet, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page worksheet contains ten problems.
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Lesson Plan
Curated OER

Number Theory - Week 12

For Teachers 12th - Higher Ed
In this number theory worksheet, students study integers and their properties. They explore the Fibonacci Sequence and approximate irrational numbers. This two-page worksheet contains eight problems.
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Lesson Plan
Curated OER

Real Number System Graduated Bowl Activity

For Teachers 8th
Eighth graders determine which numbers are rational numbers. In this number lesson students answer a series of questions related to natural and whole numbers as well as integers and rational numbers. Students work cooperatively in groups.
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Worksheet
Curated OER

Signed Numbers

For Students 6th
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.
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Assessment
Inside Mathematics

Rugs

For Teachers 8th Standards
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,...
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Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Target A

For Teachers 8th Standards
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...
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Handout
Charleston School District

Estimating Values of Expressions

For Students 8th Standards
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...
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Lesson Plan
EngageNY

What Is Area?

For Teachers 9th - 10th Standards
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...
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Printables
1
1
Houghton Mifflin Harcourt

Unit 8 Math Vocabulary Cards (Grade 6)

For Students 6th Standards
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...
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Assessment
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Target A

For Students 9th - 12th Standards
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...
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Activity
5280 Math

Decimal Patterns

For Teachers 8th - 10th Standards
Find patterns in the process instead of the result. Learners convert series of decimals and fractions identifying patterns along the way. The lesson includes nine problem tasks with progressively more involved patterns.
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Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Students 9th - 12th Standards
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...
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Lesson Plan
Curated OER

Real Number System

For Teachers 9th
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...
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Lesson Plan
Curated OER

Numbers, Numbers Everywhere!

For Teachers 5th - 8th
Explore properties of integers! For this algebra lesson, pupils add, subtract, divide and multiply using integers correctly. They differentiate between rational and irrational numbers.
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Lesson Plan
Curated OER

Number Subsets: Winning the Number Game

For Teachers 8th
Eighth graders review their examineing about numbers and number systems through playing the Number Game. They create a list of numbers and based upon the characteristics and properties of the numbers they earn points.
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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
Curated OER

Squares and Square Roots II

For Teachers 7th - 8th
Students evaluate squares and square roots. Through practice, they discover the inverse relationship between squares and square roots. Students take notes, solve square root and square root problems, and classify numbers as rational or...
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Lesson Plan
Curated OER

Order in the Classroom

For Teachers 1st
First graders define and identify integers, rational, irrational, real, and complex numbers. They place number cards in ascending and descending order.
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Lesson Plan
Curated OER

Babylonian Mathematics 2

For Teachers 9th - 12th
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.
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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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Assessment
Mathed Up!

Surds

For Students 8th - 11th
Young mathematicians learn how to simplify expressions with square roots by watching a video that shows several ways to rewrite expressions involving radicals. They work on questions where they rationalize denominators and expand and...
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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 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

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

Algebra Test

For Students 9th - 10th
In this algebra worksheet, students solve problems that are rational and irrational. They rewrite fractions as decimals and show understanding of basic number properties. There are 25 questions.

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