Rational Numbers Teacher Resources
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Understanding Rational Numbers and Proportions
Here is an excellent lesson on fractions, decimals, unit rates, proportions, and problem solving. In it, learners engage in six activities in an "investigation center." The activities are based on a fictitious trip to a bakery, and involve several important concepts of rational numbers and proportions. Outstanding blackline masters are embedded in the plan, which will make it easy to successfully implement the lesson with your class.
Intro to Adding/Subtracting Rational Numbers - 7.NS.1.c
Here is a lesson that will help you meet seventh grade math Common Core skills standards. Learners work in collaborative groups to solve a real-world scenario using the subtraction of rational numbers. They jigsaw into other groups and display their solutions on a number line. Although the lesson plan includes the use of the Geometer's Sketchpad® application, it can be taught sufficiently without it. Note that there is not a lot of teacher support in this write-up, and that you will need to create your own homework problems to assign as reinforcement.
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such equation by a power of 10 or 10r, where r is the repeating segment.
New! Rewrite Multiplication Problems with Rational Numbers Using the Commutative and Associative Property
Review and practice with the commutative and associative properties using rational numbers. The video goes step by step through the reasoning why the narrator chose to group different numbers together before solving. Go through one example with fractions and one with decimals, use additional slides for more practice.
The Rational Number System
For this rational number system worksheet, students identify rational and irrational numbers. They use a Venn Diagram to place numbers in their correct number set. This five-page worksheet contains approximately 10 problems. Answers are provided on the last page.
Finding Equivalent Forms For Positive Rational Numbers
Learners discuss the relationship between and the equivalent forms of rational numbers. They will convert numbers from decimals to fractions, understanding they are equivalent, but just different forms.
Assessing Behaviors Using Rational Numbers
Combine a study on appropriate behavior with examining rational numbers! Individuals assess behaviors that they see and experience in the school environment. They identify, define, compare, and order behaviors that are both positive and negative, using number lines to help draw conclusions, reason, and visualize concepts.
Understanding Rational Numbers and Proportions
Complete three activities using real-world models to investigate fractions, decimals, and proportions. Your class will investigate situations using the rational numbers and proportions that one would encounter in a bakery.
How Do You Find a Rational Number Between Two Fractions?
So do you really want to know how to find a rational number between two given fractions? The teacher explains how to average the two fractions to find a rational number between the two fractions. There are several steps involved in changing a mixed fraction to an improper fraction and also in finding the least common denominator.
What's a Rational Number?
A few examples of numbers, whole, mixed fraction, and decimal, that can be written in fraction form to prove they are rational numbers.
New! Identify Rational Numbers
Rational is a common word in math that sometimes goes unexplained. This lesson explores the relationship between ratio and rational number. Show your learners that rational numbers consist of any number that can be written as a fraction. The video puts most of its focus on what can be a rational number rather than what is not. This is the first video out of a five-part series. Video is used as an introduction as the term rational is commonly used in other standards.
New! Solve Real-World Problems Using Rational Numbers
Show your learners how to relate rational number problems to everyday life. This video demonstrates a word problem about division with two strategies. Class members will be able to divide decimals or fractions and still produce the same solution. Some examples may be challenging as they do not include all steps and calculations. This is the last video in a series of five about converting rational numbers to decimals.
Locating Rational Numbers on the Number Line
Students explore the concept of locating rational numbers on a number line. In this rational numbers instructional activity, students change improper fractions to mixed numbers to determine where on a number line the rational number belongs. Students use straight edges and compasses to place rational numbers on the number line.
Ordering Rational Numbers and Finding Their Approximate
Middle schoolers explore the concept of ordering rational numbers on a number line. They represent rational numbers as decimals and percents. Pupils create a foldable about converting fractions to decimals to percents, and use a calculator and number line to order rational numbers.
Study Guide: Rational Numbers
In this rational numbers activity, middle schoolers solve and complete 8 different problems that include applying the comparison property and density property for rational numbers. First, they replace each blank with the correct symbol to make each true. Then, student write the numbers in each set in order from least to greatest.
Representing Rational Numbers
Seventh graders explore rational numbers. In this fractions, decimals, and percents instructional activity, 7th graders identify and compare equivalencies between fractions, decimals, and percents. Students use hands-on activities to investigate the world of rational numbers.
Descending Order of Rational Numbers Worksheets
In this rational numbers worksheet, students order 5 rational numbers in descending order in each of 20 examples. They order the fractions and decimals on-line and print the pages as needed.
Ascending Order of Rational Numbers Virtual Worksheet
In this ordering numbers worksheet, students order 20 sets of rational numbers in ascending order. They order the fractions and decimals from least to greatest while working on-line and print the pages as needed.
Operations with Rational and Irrational Numbers
Learners complete addition and multiplication tables that include rational and irrational numbers. They also answer a series of questions about the sums and products of irrational and rational numbers. One suggested modification would be to make the tables larger to give pupils more room to write or have them write answers on their own paper.
Identifying Rational Numbers
Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward worksheet that is a handy tool for reinforcing the difference between rational and irrational numbers. It comes with a detailed commentary to use when going over the answers with your class.