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
Multiplication and Division of Rational Numbers
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...
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...
EngageNY
Rational Numbers on the Number Line
Individuals learn how to plot rational numbers on the number line in the sixth instructional activity of a 21-part module. They identify appropriate units and determine opposites of rational numbers.
EngageNY
Ordering Integers and Other Rational Numbers
Scholars learn to order rational numbers in the seventh lesson in a series of 21. Reasoning about numbers on a number line allows for this ordering.
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...
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...
Illustrative Mathematics
Jumping Flea
Mathematics minors consider the magnitude of a jumping flea as he hops from place to place. Through this exercise, they will investigate absolute values, as well as positive and negative rational numbers on a number line. The first page...
Curated OER
Rational Numbers as Exponents
In this algebra worksheet, learners rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
Curated OER
Rational Numbers
In this rational numbers worksheet, 9th graders solve and complete 12 different problems by dividing each equation. First, they use the division rules given at the top of the sheet to determine how they are going to solve each problems....
Curated OER
Rational Numbers
In this rational numbers worksheet, 9th graders solve and complete 12 different problems that include multiplying various rational expressions. First, they find the product of two or more numbers, grouping in pairs. Then, students...
Curated OER
Locating Rational Numbers on the Number Line
Young scholars explore the concept of locating rational numbers on a number line. In this rational numbers lesson, students change improper fractions to mixed numbers to determine where on a number line the rational number belongs. Young...
California Education Partners
Least and Greatest
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...
Curated OER
Comparing Negative Fractions, Mixed Numbers and Decimal
Seventh graders explore the concept of negative rational numbers. In this negative rational numbers instructional activity, 7th graders discuss similarities between positive and negative rational numbers. Students predict what rational...
Curated OER
Rational and Irrational Numbers
Here is a rational and irrational numbers learning exercise in which learners identify 10 different expressions related to various types of numbers. They determine whether each expression given is a rational or irrational number.
Curated OER
Rational Numbers
In this rational numbers learning exercise, 9th graders solve and complete 24 different problems that include dividing various numbers. First, they determine the reciprocal of the second number in each equation. Then, students multiply...
EngageNY
Applying the Properties of Operations to Add and Subtract Rational Numbers 1
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...
Utah Education Network (UEN)
Extending the Number System
Don't feel negative about negative numbers. Individuals extend their knowledge of positive numbers and fractions to rational numbers. They see how to represent negative rational numbers on a number line, learn about opposites and...
Curated OER
Laws of Rational Exponents
Middle schoolers determine the value of rational numbers with fractional exponents. They solve problems containing positive and negative exponents. This one-page learning exercise contains ten problems. The answers are not included.
Math Doctor
Chapter 2: Integers & the Number Line
Here is an extensive set of teacher's notes to help you teach all about integers. Begin by introducing a number line and how it can be used to visualize positive and negative numbers. Talk about absolute value and the additive inverse...
Curated OER
Formulae
Learners complete a 24 page unit. They solve expressions by plugging in values, and translate words into algebraic equations. Included are: mixed operations, square roots, exponents and negative numbers. This resource provides a good...
EngageNY
Applying the Properties of Operations to Multiply and Divide Rational Numbers
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...
Curated OER
Positive & Negative Numbers
Young mathematicians solve and complete 22 different problems that include using a number line to evaluate. First, they define each of the terms listed. Then, pupils graph each integer on the given number line. They also evaluate each...
Kuta Software
Adding Positive and Negative Numbers
Put your learners to the test and practice adding and subtracting with a variety of different numbers. Integers, decimals, fractions – it's all there to help your learners practice their skills with negative numbers. The first page of...