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.
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
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...
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
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...
Interactive
CK-12 Foundation

The Real Numbers: Number System

For Students 8th - 9th
Get real about learning the real number classification. Young mathematicians create a graphic organizer of the real number system using an interactive. They answer a set of challenge questions on the classifications of real numbers.
Lesson Plan
University of Minnesota

Fraction Operations and Initial Decimal Ideas

For Teachers 4th - 6th Standards
Add another strategy to the toolboxes of young mathematicians with this elementary math lesson on using number lines to add and subtract fractions.
Lesson Plan
Virginia Department of Education

Integers: Addition and Subtraction

For Teachers 5th - 8th Standards
Young mathematicians construct their own understanding of integers with an inquiry-based math lesson. Using colored chips to represent positive and negative numbers, children model a series of addition and subtraction problems as...
Lesson Plan
Odell Education

Ordering Fractions, Decimals, and Percents

For Students 7th
Order up a resource on comparing rational numbers. Scholars order fractions, decimals, and percents by converting to a single form. They conduct a cut-and-paste activity ordering three sets of rational numbers.
Lesson Plan
Illustrative Mathematics

Discounted Books

For Teachers 6th - 8th Standards
Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...
Worksheet
Lorain County Community College

Solving Linear Equations

For Students 7th - 10th Standards
Put your mathematicians to the test and see if they can solve this worksheet full of multi-step equations with rational numbers. Add, subtract, multiply, and divide with fractions and decimals to solve for x. The top of the worksheet has...
Lesson Plan
EngageNY

Sums and Differences of Decimals

For Students 6th Standards
Sometimes dealing with decimals is so much easier than dealing with fractions. The ninth lesson in a 21-part module has the class consider situations when it might be easier to add or subtract fractions by first converting to...
Lesson Plan
1
1
Odell Education

Exponents and Radicals

For Teachers 9th - 12th Standards
What is that fraction doing as an exponent? Fun math games prompt learners to practice evaluating radical expressions and expressions containing rational exponents, both in groups and individually.
Lesson Plan
West Contra Costa Unified School District

Lowest Common Multiple through the Grades

For Teachers 8th - 10th Standards
The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...
Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 9)

For Teachers 9th - 12th Standards
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Interactive
CK-12 Foundation

Simplification of Radical Expressions: Irrational Garden Plot

For Students 8th - 10th
All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.
Printables
Curriculum Corner

7th Grade Math "I Can" Statement Posters

For Teachers 7th Standards
Translate the Common Core math standards into a series of achievable "I can" statements with this collection of classroom displays. Offering posters for each standard, this resource is a great way to support your seventh graders as...
Lesson Plan
Rational Number Project

Rational Number Project: Initial Fraction Ideas

For Teachers 3rd - 6th Standards
Deepen the fractional number sense of young learners with this introductory lesson on equivalent fractions. After completing a short warm-up activity, children go on to work in pairs using fraction circles to complete a table of...

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