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Unit Plan
New York City Department of Education

Rational Numbers

For Teachers 7th Standards
Order up a unit on rational numbers. A unit overview gives a basic outline of instruction and activities on rational numbers for the 7.NS domain. A performance task on profits at pizzerias assesses understanding of the concepts in the...
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Lesson Plan
Curated OER

Ordering Rational Numbers and Finding Their Approximate

For Teachers 6th - 8th
Middle schoolers explore the concept of ordering rational numbers on a number line. They represent rational numbers as decimals and percents. Pupils create a foldable about converting fractions to decimals to percents, and use a...
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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

Ascending Order of Rational Numbers Virtual Worksheet

For Students 6th - 7th
In this ordering numbers worksheet, students order 20 sets of rational numbers in ascending order. They order the fractions and decimals from least to greatest while working on-line and print the pages as needed.
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Workbook
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Utah Education Network (UEN)

Operations with Rational Numbers

For Students 7th Standards
Add an engaging resource to your lessons on rational numbers and watch your pupils' understanding multiply. Learners determine rules for adding, subtracting, multiplying, and dividing integers. Individuals then extend these rules to all...
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Activity
Illustrative Mathematics

Identifying Rational Numbers

For Teachers 7th - 9th Standards
Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward worksheet that is a handy tool for...
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Lesson Plan
Illustrative Mathematics

Comparing Rational and Irrational Number

For Teachers 7th - 9th Standards
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
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Lesson Plan
Willow Tree

Rational vs. Irrational Numbers

For Students 7th - 10th Standards
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
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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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Lesson Plan
Mathematics Assessment Project

Using Positive and Negative Numbers in Context

For Teachers 6th - 8th Standards
Measure the temperature of your math class with a temperature-based instructional activity on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a...
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Interactive
CK-12 Foundation

Rational Numbers in Applications: Pizza with Friends

For Students 6th - 7th Standards
Explore the application of fractions in a real-life situation. Learners manipulate an interactive simulation to model a given scenario. They find fractions of fractions and explain the importance of the part-to-whole comparison.
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Worksheet
Curated OER

Rational Numbers

For Students 6th - 7th
For this rational numbers worksheet, students solve and complete 25 different problems that include identifying numerous types of rational numbers. First, they place a greater than, less than or equal to symbol between the fractions to...
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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

The Number Line

For Teachers 6th - 8th
Represent, order, and compare rational numbers in order to practice placing them on a number line. Your class will use appropriate operations, methods, and tools to compute with real numbers. Then they must explain completely and clearly...
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Lesson Plan
Curated OER

Alternative Algorithms

For Teachers 6th - 8th
Analyze algorithms for computing with rational numbers and develop fluency in their use with your math class. They work individually to solve the problems on the "Alternative Algorithms" sheet. Then, they analyze the appropriateness of...
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Interactive
CK-12 Foundation

Rational Numbers in Applications: Batch of Brownies as Rational Numbers

For Students 6th - 8th Standards
Sharing is caring—especially with brownies! Young mathematicians use an interactive to split a batch of brownies between several friends given constraints. They answer some challenge questions to check that each friend has the correct...
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Printables
Chapman University

Exact Values Poster

For Teachers 6th - 12th Standards
Go to infinity and beyond and see what a repeating decimal actually looks like as it goes on and on and on and on. The poster uses rational numbers, imperfect squares, and the always popular π.
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Lesson Plan
Curated OER

Estimating with Rational Numbers

For Teachers 6th - 8th Standards
Students explore the concept of rounding. In this rounding lesson, students round fractions and mixed numbers. Students estimate the sums, differences, products, and quotients of rounded fractions and mixed numbers.
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Lesson Plan
Illustrative Mathematics

Irrational Numbers on the Number Line

For Teachers 7th - 9th Standards
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not clear. It...
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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

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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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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Interactive
CK-12 Foundation

Properties of Rational Numbers: Lollipop Trees

For Students 6th - 8th Standards
A six-question interactive takes mathematicians to Lollipop Land where they manipulate lollipop trees to make equivalent ratios.  Question types include multiple-choice, true or false, and a discussion. 
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Worksheet
Curated OER

myTestBook.com Rational and Irrational Numbers

For Students 7th - 9th
In this rational and irrational numbers worksheet, students answer multiple choice questions about rational and irrational numbers. Students complete 20 questions.