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Worksheet
Curated OER

Fractions and Rationals

For Students 5th - 8th
Upper elementary and middle schoolers solve 16 types of problems to include writing fractions to represent shaded portions, writing a mixed number to represent certain points on a number line, and changing equivalent mixed numbers to...
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Lesson Plan
Curated OER

Is Bigger Always Better?

For Teachers 6th - 8th
Explore rational numbers with the young mathematicians in your class. They will investigate decimals, fractions, and percents before ordering and comparing rational numbers. This multi-day unit includes differentiation activities and...
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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

Squares, Square Roots, and Exponential Expressions

For Teachers 7th - 8th
Students explore the concepts of square roots and exponential expressions. In this square root and exponential expression lesson, students complete an investigation called Building A Square Patio. Students use color tiles to develop the...
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Worksheet
Curated OER

Practice Reducing Fractions

For Students 6th - 8th
In this math worksheet, students find the solutions for the rational expression with fractions. They reduce the fraction into simplest form.
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Lesson Plan
Curated OER

Uncorking Work Problems

For Teachers 6th - 8th
Explore the concept of work with your class, using bottles, water, and corks to calculate work, while using the formula work = rate x time. Students conduct multiple experiments, timing how long it takes for water to drain out of the...
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Lesson Plan
Curated OER

Dividing Radical Expressions

For Teachers 8th - 9th
In this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
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Worksheet
Curated OER

Adding/Subtracting Rational Expressions

For Students 8th - 10th
In this adding and subtracting rationals worksheet, students find common denominators and solve 26 computation problems. Denominators are polynomials and fractions.
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Lesson Plan
Curated OER

Operations with Positive Fractions and Decimals

For Teachers 5th - 8th
Explore the concept of fractions and decimals! In this fractions and decimals lesson, pupils use fraction tiles to express fractions. They play a fraction review basketball game where when a team gets a question correct they get to shoot...
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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
Curated OER

Elementary Algebra Study Guide

For Teachers 8th - 11th
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
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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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Assessment
1
1
Balanced Assessment

Smaller, Larger, In-Between

For Students 7th - 12th Standards
Build a solid understanding of rational number relationships by asking class members to use various skills to order decimals, fractions, and numeric power expressions. Using the resource, they find that the fractions do not have an...
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Lesson Plan
Curated OER

Rationalizing Denominators: Extra Practice 41

For Teachers 8th - 9th
In this math worksheet, students must rationalize the denominators to solve radical expressions. Students square terms for fourteen of the problems. The other six problems involve different roots (3rd, 4th, or 5th roots).
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Lesson Plan
Curated OER

Rationalizing Denominators

For Teachers 6th - 9th
For this math worksheet, students find the solutions to the rational numbers using radicals. Then they express the answer in simplest form.
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Worksheet
Curated OER

Rational Numbers

For Students 8th - 9th
In this rational numbers worksheet, students solve and complete 33 different problems that include adding and subtracting various types of rational numbers. First, they determine the sum or difference of each problems. Then, students...
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Lesson Plan
Curated OER

Algebra 1: Simplifying Radicals

For Teachers 8th - 9th Standards
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...
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Worksheet
Curated OER

Positive & Negative Numbers

For Students 6th - 8th
Young mathematicians solve and complete 22 different problems that include using a number line to evaluate. First, they define each of the terms listed. Then, pupils graph each integer on the given number line. They also evaluate each...
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Worksheet
Curated OER

Rational Numbers

For Students 8th - 9th
In this rational numbers worksheet, learners solve and complete 31 different problems that include multiplication of each. First, they determine the product of each problems, changing their signs when needed. Then, students simplify each...
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Lesson Plan
Curated OER

Expressions Containing Several Radical Terms

For Teachers 8th - 9th
In this algebra worksheet, learners add 5 expressions with radical signs. In 6 problems, students multiply with radicals over parenthesis. The final 4 problems require learners to rationalize the denominator and divide.
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Lesson Plan
Curated OER

Rational Equations

For Teachers 8th - 9th
In this algebra worksheet, students find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.
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Lesson Plan
Curated OER

Proposed Problems

For Teachers 6th - 8th
In this math worksheet, students find the solutions to the problems that involve solving equations with and without rational expressions.
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Learning
School Mathematics Project

Resource Sheets

For Students 4th - 8th Standards
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
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Lesson Plan
Curated OER

Babylonian Mathematics I

For Teachers 8th - 10th
Learners examine a Babylonian clay tablet and the mathematics found on it as a catalyst to investigate a variety of mathematical ideas. They work with prime numbers, classify numbers as whole, integer, rational, or irrational and use...

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