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Rational Numbers Teacher Resources
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Here is an excellent instructional 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 instructional activity with your class.
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.
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 add, subtract, multiply, and divide rational numbers. They find the square and the cube of numbers. They create a game incorporating computation on rational numbers. Everyone works together to write and evaluate expressions. Note: the associate video is only available via purchase, but the other activities hold enough value to support the lesson without it.
Students 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. Students use straight edges and compasses to place rational numbers on the number line.
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.
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 learning exercise, 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.
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.
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.