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...
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.
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...
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 plan. 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, 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 lesson on using number lines to add and subtract fractions.
Curated OER
Mixing Fertilizer
Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.
EngageNY
Decimal Expansions of Fractions, Part 1
Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth lesson of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to determine the size...
Curated OER
Squaring Function of Natural Numbers
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
Curated OER
Distances on the Number Line 2
Simple tasks are presented for your seventh grade math masters. They are to determine whether two numbers on a number line are equidistant from zero and what the two added together would be.
Curated OER
Number Sense and Numeration
Young scholars add and subtract integers. In this algebra instructional activity, students discuss number sense as they sort numbers in the correct order. They analyze and label numbers differentiating between rational and irrational...
Illustrative Mathematics
Operations on the Number Line
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...