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Worksheet
Curated OER

Study Guide: Rational Numbers

For Students 6th - 8th
In this rational numbers worksheet, students solve and complete 8 different problems that include applying the comparison property and density property for rational numbers. First, they replace each blank with the correct symbol to make...
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Worksheet
Curated OER

Rational Numbers

For Students 9th
In this rational numbers instructional activity, 9th graders solve and complete 16 different problems that include adding and subtracting various rational numbers. First, they determine the sum or difference for each equation. Then,...
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Interactive
Curated OER

Rational Numbers

For Students 9th - 11th
In this algebra activity, learners rewrite word problems using algebraic expressions and equations. They use rational numbers to solve their problems. There are 5 questions with an answer key.
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Worksheet
Curated OER

Rational Numbers

For Students 9th
In this rational numbers worksheet, 9th graders solve and complete 12 different problems by dividing each equation. First, they use the division rules given at the top of the sheet to determine how they are going to solve each problems....
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Worksheet
Curated OER

Rational Numbers

For Students 9th
In this rational numbers worksheet, 9th graders solve and complete 12 different problems that include multiplying various rational expressions. First, they find the product of two or more numbers, grouping in pairs. 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

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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Worksheet
Curated OER

Leveled Problem Solving Rational Numbers and their Properties

For Students 5th - 7th
In this rational numbers and their properties worksheet, students sharpen their problem solving skills as they solve 6 story problems.
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Worksheet
Curated OER

Algebra I: nth Root and Rational Exponents

For Students 8th - 11th
This algebra worksheet 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 answer...
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Lesson Plan
1
1
EngageNY

Properties of Exponents and Radicals

For Teachers 9th - 12th Standards
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in terms...
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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
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
EngageNY

Mid-Module Assessment Task: Grade 7 Module 2

For Students 7th Standards
A seven-question assessment determines how well your learners understand the procedures to add, subtract, multiply, and divide signed rational numbers. Pupils show their understanding through problem-solving situations. 
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Interactive
Curated OER

Rational Numbers

For Students 9th
In this Algebra I activity, 9th graders identify properties from the real number system and use the distributive property to collect simplify expressions with parentheses.  The one page interactive activity contains five multiple choice...
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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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Interactive
Curated OER

Review of Pre-Algebra

For Students 7th - 9th
Middle and high schoolers review topics covered Pre-Algebra. They solve problems questions dealing with exponents, square roots and absolute value. They use the rules of divisibility and identify prime numbers. This two-page on-line...
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Lesson Plan
Curated OER

Rational and Irrational Numbers 2

For Teachers 9th - 12th Standards
Is the circumference of a circle always, sometimes, or never rational? Learners answer questions individually and also work in groups to look at sums and products of rational and irrational numbers. They must also be able to use the...
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Worksheet
Curated OER

Properties of Numbers

For Students 9th - 11th
In this algebra worksheet , students apply the properties of numbers to answer problems written in a certain way, The answer must make the property a true statement. There are 32 questions with an answer key.
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Worksheet
Curated OER

The Distributive Property

For Students 9th
In this Algebra I learning exercise, 9th graders use the distributive property to simplify algebraic expressions.  The one page learning exercise contains two multiple choice problems.  Answers are provided. 
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Worksheet
Curated OER

Algebra Worksheet: Number systems

For Students 10th - Higher Ed
This worksheet was originally created for a college level algebra class. It does contain some interesting questions about number and quantity that are important for algebra learners to understand. Natural numbers, integers, rational,...
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Worksheet
Curated OER

Properties of Real Numbers

For Students 11th
In this algebra activity, 11th graders perform operations with real numbers. They simplify roots and rationalize the denominators by factoring. They calculate the absolute values of the roots. There are 11 questions.
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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
Virginia Department of Education

Using Order of Operations and Exploring Properties

For Teachers 5th - 6th
If you need some creative ways to teach the order of operations, use a series of activities that focus on properties. Each instructional activity uses different materials and works as a stand-alone activity, or can build upon the...
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Assessment
Concord Consortium

Last Digit Arithmetic

For Students 7th - 10th Standards
Mathematics involves a study of patterns. The exploratory lesson has learners consider the addition pattern in different sets of numbers. Each set has a different pattern that pupils describe mathematically. The patterns involve both...