EngageNY
Efficiently Adding Integers and Other Rational Numbers
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...
EngageNY
Understanding Subtraction of Integers and Other Rational Numbers
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...
Willow Tree
Rational vs. Irrational Numbers
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...
EngageNY
Addition and Subtraction of Rational Numbers
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...
EngageNY
Investments—Performing Operations with Rational Numbers
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.
Mathematics Assessment Project
Using Positive and Negative Numbers in Context
Measure the temperature of your math class with a temperature-based lesson on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a temperature change...
EngageNY
Rational and Irrational Numbers
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...
Curated OER
Rational, Irrational and Square Roots
Students identify rational and irrational numbers and their use in mathematical functions. Through demonstration, students discover the difference between rational and irrational numbers and their use. Using estimation skills students...
EngageNY
The Structure of Rational Expressions
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...
Curated OER
Lesson 2 Ordering Numbers
Math wizards begin the lesson by comparing and ordering rational numbers. Using a number line, they discover the relationship between the numbers and practice ordering them in the correct way. They also review proper techniques for...
Curated OER
Slicing Up Fractions
Add and multiply fractions with your elementary and middle schoolers! They review the concepts of equivalent fractions, adding fractions, and multiplying fractions as they solve problems involving pieces a virtual pizza. Lots of practice...
Curated OER
Algebra 1: Simplifying Radicals
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...
West Contra Costa Unified School District
Solving Rational Equations
Scholars first learn to solve two-step equations with fractional coefficients and constants by traditional methods and by clearing the denominator. They continue by learning another approach to solve two-step equations that have decimal...
EngageNY
Adding and Subtracting Rational Expressions
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.
Curated OER
Operations with Positive Fractions and Decimals
Explore the concept of fractions and decimals! In this fractions and decimals instructional activity, pupils use fraction tiles to express fractions. They play a fraction review basketball game where when a team gets a question correct...
Illustrative Mathematics
Discounted Books
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...
PB Works
Numbers Lesson 3 - Hershey Bar Fractions
Talk about delicious math! Pupils solve problems involving rational numbers and analyze real-life problems to find solutions in a pre-algebra class. They discuss the sections of a Hershey's bar in terms of fractions and decimals before...
Illustrative Mathematics
Shrinking
Is Aunt Nancy shrinking? Find out by calculating with the average height women lose each year. The activity practices multiplying and dividing with decimals and rounding the final answer.
Curated OER
Simplify Radicals
Learners are introduced to the concept of radicals and how to use them in various situations. They review rational and irrational numbers while simplifying different number sentences. They also practice factoring perfect squares.
Virginia Department of Education
Integers: Addition and Subtraction
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...
Curated OER
Addition and Subtraction of Rational Expressions
In this adding and subtracting rational numbers worksheet, students add and subtract 20 sets of fractions with polynomial denominators. Students compute common denominators.
Curated OER
Subtraction With Integers
This thorough introduction to the concept of subtracting negative integers walk learners through the necessary steps using teacher modeling and guided practice. Number lines and various word problems are used to support understanding of...
Curated OER
Positive and Negative Numbers
Pupils use blocks and markers to illustrate the processes of adding, subtracting, multiplying and dividing integers. In this mathematics lesson plan, learners use Algebra blocks to demonstrate multiplying polynomials.
University of Minnesota
Fraction Operations and Initial Decimal Ideas
Add another strategy to the toolboxes of young mathematicians with this elementary math activity on using number lines to add and subtract fractions.