Lesson Plan
EngageNY

Efficiently Adding Integers and Other Rational Numbers

For Teachers 7th Standards
Develop the rules for adding rational numbers. Pupils continue to work on adding integers. Young mathematicians use their experiences to develop the rules for adding integers with like and unlike signs. They finish the lesson plan by...
Lesson Plan
EngageNY

Understanding Subtraction of Integers and Other Rational Numbers

For Teachers 7th Standards
Subtraction is all about opposites, and the fifth activity in a series of 25 introduces the concept of subtracting integers. Pupils connect subtracting with discarding a card in the integer game. They develop the rule for subtracting...
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...
Lesson Plan
EngageNY

Addition and Subtraction of Rational Numbers

For Teachers 7th Standards
Apply addition and subtraction of integers to solve problems with rational numbers. Pupils apply the rules for adding and subtracting integers to add and subtract rational numbers. Class members represent the problem with equations and...
Lesson Plan
EngageNY

Investments—Performing Operations with Rational Numbers

For Teachers 7th Standards
Partners fill out a register to record transactions on a college investment account. They use the amounts listed to calculate the running and current balance of the account, providing experience in adding and subtracting rational numbers.
Worksheet
Curated OER

Rational Numbers

For Students 9th
In this rational numbers worksheet, 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, students evaluate...
Worksheet
Math Mammoth

Add and Subtract Rational Expressions With Unlike Denominators

For Students 6th - 8th
The class solves 19 problems involving rational expressions. They find the least common denominator of fractions, make fractions equivalent and then add or subtract fractions containing rational expressions.
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.
Lesson Plan
EngageNY

Rational and Irrational Numbers

For Teachers 10th - 12th Standards
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
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. 
Workbook
1
1
Utah Education Network (UEN)

Ch 2: Rational Number Operations

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...
Lesson Plan
Curated OER

Regents Exam: Solving Rationals 1

For Teachers 9th - 12th
In this rational number worksheet, students add and subtract fractions containing variables. They find common denominators and solve for the unknown. This four-page worksheet contains eighteen problems. Answers are listed on the last...
Handout
2
2
Math Mammoth

Add & Subtract Integers Fact Sheet

For Students 5th - 8th Standards
Guide young mathematicians through the crazy world of negative numbers with a handy reference document. Offering clear instructions for adding and subtracting positive and negative integers, this resource is a great way to...
Lesson Plan
EngageNY

Applying the Properties of Operations to Add and Subtract Rational Numbers 2

For Teachers 7th Standards
The ninth part in a 25-part series emphasizes the importance of using properties of operations in evaluating sums and differences of rational numbers. Pupils solve problems and provide justifications for each step.
Lesson Plan
Curated OER

Topsy-Turvy Math With Rational Numbers

For Teachers 4th
Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...
Lesson Plan
EngageNY

Applying the Properties of Operations to Add and Subtract Rational Numbers 1

For Teachers 7th Standards
Apply properties of operations to work with mixed numbers. The first of two lesson plans that focus on properties of operations works with mixed numbers and converting opposites of sums. Pupils work with properties of operations to break...
Worksheet
Curated OER

Math B Regents Questions by Performance Indicator: Rational Numbers

For Students 9th - 11th
In this rational number activity, students add and subtract quantities containing radical expressions.  They identify equivalent expressions.  This three-page activity contains 15 multiple-choice problems.  Answers are...
Lesson Plan
Illustrative Mathematics

Bookstore Account

For Teachers 6th - 8th Standards
We use debt often to describe negative numbers and your learners will be able to see how it translates into math. They will be asked to go through a series of transactions and make simple equations for each one, following it with a...
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...
Lesson Plan
Curated OER

Real Numbers in the Real World

For Teachers 6th - 8th
Delve into the concept of operating on the set of real numbers! In this operating with the set of real numbers lesson, pupils perform order of operations on the set of real numbers using a calculator.
Lesson Plan
Curated OER

Rational Expressions: Simplifying

For Teachers 8th - 10th
This two-day lesson will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The lesson contains powerpoint presentations, worksheets, and answer key.
Lesson Plan
EngageNY

The Structure of Rational Expressions

For Teachers 11th - 12th Standards
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
Worksheet
Curated OER

Addition and Subtraction of Rational Expressions

For Students 9th - 11th
In this rational expression worksheet, learners add and subtract fractional expressions. They completely factor the numerator and denominator. Explanations and examples are provided at the beginning of the document. This two-page...
Lesson Plan
Curated OER

Add Rational Expressions

For Teachers 12th - Higher Ed
In this rational expression worksheet, students add, subtract and write rational numbers in their lowest terms. This two-page worksheet contains five problems.

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