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...
Lesson Plan
EngageNY

Multiplication and Division of Rational Numbers

For Teachers 7th Standards
Partners create integer multiplication word problems and swap them to solve, followed by altering the problem to use rational numbers. By working with word problems involving multiplication and division of rational numbers, pupils...
Lesson Plan
EngageNY

Writing and Interpreting Inequality Statements Involving Rational Numbers

For Students 6th Standards
Statements often have multiple interpretations — but not these inequality statements. Scholars compare rational numbers and write inequality statements symbolically. The lesson includes problems that require comparing three numbers.
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

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.
Lesson Plan
EngageNY

Comparing Integers and Other Rational Numbers

For Students 6th Standards
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
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

Rational Numbers on the Number Line

For Students 6th Standards
Individuals learn how to plot rational numbers on the number line in the sixth lesson of a 21-part module. They identify appropriate units and determine opposites of rational numbers.
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...
Unit Plan
Curated OER

Rational Number Project

For Teachers 4th - 6th Standards
Infuse your unit on fractions, decimals, and operations with a thorough module about rational numbers. With a teaching guide, learner examples, templates for instruction, and lesson rationale, the module is a solid way to...
Lesson Plan
EngageNY

The Distance Between Two Rational Numbers

For Teachers 7th Standards
There has to be a better way than counting. Pupils find the distance on a number line between rational numbers by counting the number of intervals. Through a discussion, the class sees the connection between absolute value and the...
Lesson Plan
EngageNY

Applying the Properties of Operations to Multiply and Divide Rational Numbers

For Teachers 7th Standards
Use properties to evaluate several multiplications and divisions. The 16th lesson in a series of 25 demonstrates to scholars how they can utilize properties of operations to evaluate complex numerical expressions involving multiplication...
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...
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
1
1
Alabama Learning Exchange

Classifying Complex Numbers

For Teachers 10th - 12th Standards
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
Lesson Plan
EngageNY

Converting Rational Numbers to Decimals Using Long Division

For Teachers 7th Standards
Convert fractions that cannot be written with a denominator that is a power of 10. Pupils use the definition of a fraction and long division to convert fractions to decimals, then discover that some divisions terminate and others...
Assessment
Charleston School District

Pre-Test Unit 7: Real Numbers

For Students 8th - 9th Standards
Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...
Lesson Plan
EngageNY

The Decimal Expansion of Some Irrational Numbers

For Students 8th Standards
Develop a definition of irrational numbers through an exploration of square roots. The 11th activity in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and...
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...
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 workbook series that guides learners through problems involving simple probability, percents, and rational number equivalence.
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. 
Lesson Plan
EngageNY

Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers 2

For Teachers 7th Standards
The 20th segment in a series of 25 has learners work with percentage problems to generate equivalent expressions. Pupils find discounted prices using numerical and algebraic expressions. The task then requires individuals to find the...
Unit Plan
Mathematics Vision Project

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...