Rational Numbers Teacher Resources

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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.
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.
Here is an excellent activity 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 activity with your class.
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.
In this rational number system activity, students identify rational and irrational numbers. They use a Venn Diagram to place numbers in their correct number set. This five-page activity contains approximately 10 problems. Answers are provided on the last page.
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.
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.
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.
Students explore the concept of locating rational numbers on a number line. In this rational numbers 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.
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.
In this rational numbers worksheet, students 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.
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.
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.
For 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.
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.
A few examples of numbers, whole, mixed fraction, and decimal, that can be written in fraction form to prove they are 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. 
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. 
Students explore rational numbers.  In this number sense lesson plan, students use calculators to collect data and identify patterns that illustrate the relationship between the rational number and division.
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.

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Rational Numbers