Rational Numbers Teacher Resources

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Masterminds get creative by translating a story into a math problem. The story is about Joe and his summer job. Learners will practice applying operations to rational numbers in order to figure out his daily profit over two weeks. 
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 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.
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.
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.
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.
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.
In this rational numbers worksheet, middle schoolers 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.
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.
Students explore rational numbers.  In this number sense instructional activity, students use calculators to collect data and identify patterns that illustrate the relationship between the rational number and division.
How can you add two numbers and arrive at zero? Use negative integers! Assign each group a different problem to solve as a team. The lesson plan says to have them use Geometer's Sketchpad® to check their answers, but if you do not have this software, you could have the groups trade problems to correct each other's. In the end, you will use the problems to demonstrate how p+q is equal to |q| from p, thus meeting one of the seventh grade math Common Core standards. Note that this resource does not provide the answers to the assigned problems or a homework assignment even though it is suggested.
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.
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.
Young mathematicians examine and discuss the concepts of integers, rational numbers, irrational numbers, and real numbers. They list examples of each term and order numerical examples.

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Rational Numbers