Rational Numbers Teacher Resources

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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.
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 use exploration to develop the concepts of multiplication, division, power and roots. They explain the effect of each of these operations on whole and rational numbers.
Knowing mathematic terminology is vital for building a functional academic vocabulary. In this video, Sal defines number sets and the terms; natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. After defining each word, he considers 4 numbers and labels them according to the definitions he has established.
Talk about delicious math! Pupils solve problems involving rational numbers and analyze real-life problems to find solutions in a pre-algebra class. They discuss the sections of a Hershey's bar in terms of fractions and decimals before taking notes and examining how to add, subtract, multiply, and divide fractions.
Eighth graders determine which numbers are rational numbers. In this number lesson students answer a series of questions related to natural and whole numbers as well as integers and rational numbers. Students work cooperatively in groups.
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.
Represent, order, and compare rational numbers in order to practice placing them on a number line. Your class will use appropriate operations, methods, and tools to compute with real numbers. Then they must explain completely and clearly what was done and why it was done.
What's the pattern? That's the question learners pursue as they develop patterns using two or more rational number quantities. The teacher has them explore the sums of these quantities which will be an important conceptual foundation for helping them understand what "limit" means.
Analyze algorithms for computing with rational numbers and develop fluency in their use with your math class. They work individually to solve the problems on the "Alternative Algorithms" sheet. Then, they analyze the appropriateness of the algorithms applied to six computations and determine if they obtain the correct results.
Seventh graders explore the concept of fractions, mixed numbers, and decimals. In this fractions, mixed numbers, and decimals lesson, 7th graders compare different forms of rational numbers on a number line. Students order rational numbers that are in fraction form, mixed number form, and decimal form.
Seventh graders explore the concept of negative rational numbers. In this negative rational numbers activity, 7th graders discuss similarities between positive and negative rational numbers. Students predict what rational numbers lie between -1 and -2. Students determine where negative rational numbers belong on the number line.
Students research Babylonian mathematics. They calculate simple surd numbers. Students find the fractional form of rational numbers expressed as decimals. They work with numbers in base 60.
Students begin the lesson by completing a pre-assessment to determine where they are in regards to multiplication, division, square roots and powers. In groups, they work together to describe the effect of each operation on rational numbers.
Math wizards begin the lesson by comparing and ordering rational numbers. Using a number line, they discover the relationship between the numbers and practice ordering them in the correct way. They also review proper techniques for rounding and adding demicals.
Students discuss the various ways we use math in our daily activities. Students study, drill, and practice with addition, fractions, decimals, multiplication and division using rational numbers.
Students study the Maya culture and their achievements in mathematics, how bacteria grow exponentially, use rational numbers to convert back and forth between Celsius and degrees Fahrenheit, how some architectural designs are examples of logarithmic spirals, how complex numbers help express electrical concepts, etc... For this lesson, students watch videos and research how the Maya culture helped develop mathematic understanding.
Students investigate the concept of using fractions to solve problems involving rational numbers. They order real numbers on the number line with the classification of fractions. Also students solve problems using the four operations with fractions.
In this comparing and ordering rational numbers worksheet, 6th graders express each rational number in the same form, use a number line, and write the greater than, less than, and equal symbols to compare and order from least to greatest. Students solve thirteen problems.

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