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
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
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

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
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...
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
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...
Lesson Plan
West Contra Costa Unified School District

Connecting Fractions and Rational Expressions

For Teachers 8th - 10th Standards
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout...
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.
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. 
Assessment
1
1
California Education Partners

Least and Greatest

For Students 7th Standards
Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...
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
1
1
EngageNY

Adding and Subtracting Rational Expressions

For Students 10th - 12th Standards
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
Lesson Plan
Virginia Department of Education

Rational Expressions

For Students 9th - 12th Standards
Demonstrate the progression of operations with rational expressions through a multi-day lesson plan, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions....
Lesson Plan
Illustrative Mathematics

It's Warmer in Miami

For Teachers 5th - 7th Standards
Brrrr it's cold in Alaska! When given the temperatures of Anchorage and Miami in the winter, your mathematicians will calculate how much warmer it is in Miami. Answer key provides two different solution choices. Great as a warm-up for...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Interactive
CK-12 Foundation

Decimals as Mixed Numbers

For Students 6th - 8th Standards
Five questions—multiple-choice, true or false, and a discussion—make up an interactive that focuses on decimals as mixed numbers. Moveable blocks assist scholars in finding solutions. 
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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...

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