Rational Numbers Teacher Resources

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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.
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.
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.
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.
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.
Practice with the associative and commutative properties together during this video supporting mental math. The narrator goes step by step through two problems showing how your learners can switch around the terms to solve easier. Problems incorporate fractions with multiplication and division. Use the prior videos for more practice with each property if needed.
Once your learners have practiced converting fractions to decimals and vice versa, introduce plotting on a number line. The sixth video of a seven-part series takes converted fractions and decimals and shows their relationship to one another on a number line. More guided practice and activities are provided in the slides listed under resources. Note: Presentation does not show step-by-step instruction for all problems, some additional teacher instruction may be needed. 
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.
In this rational numbers worksheet, 9th graders solve and complete 16 different problems that include adding and subtracting various rational numbers. First, they determine the sum or difference for each equation. Then, students evaluate each expression using the given value for each variable.
In this rational numbers activity, learners solve and complete 25 different problems that include identifying numerous types of rational numbers. First, they place a greater than, less than or equal to symbol between the fractions to make a true statement. Then, students use cross-products to compare. In addition, they change each fraction to a decimal, compare, and write the correct symbol.
In this rational numbers worksheet, students solve 2 word problems where they use rational numbers. A detailed 5 step problem solving process and an example are provided.
Students solve proportions.  For this rational numbers lesson, students represent information in fractions and ratios.  They solve proportions and determine unit cost.  Students examine and interpret fractions.
In this comparing and ordering rational numbers word problems worksheet, 6th graders use a number line with positive and negative numbers to solve problems. Students solve five word problems.
Organize fractions and decimals all on one number line. This last video of a seven-part series places different numbers onto horizontal and vertical number lines and shows their relationship to one another. Learners are expected to know how to change numbers into fractions or decimals as the video quickly goes to the converted number. It does not show step-by-step instruction for all problems, some additional teacher instruction may be needed. 
Students explore the concept of Egyptian contributions in mathematics. In this Egyptian contribution lesson, students research Egyptian hieroglyphics and pyramids. Students write numerals in hieroglyphics. Students use Egyptian methods to multiply two numbers.
Fourth graders change a fraction or mixed number to a decimal number, round the decimal number to the nearest whole number and justify the answer. They complete a worksheet.
In this rational numbers review activity, students rewrite 8 rational numbers and then locate each of them on the number line provided on the activity.
Ninth graders explore the property of density of rational numbers.  In this Algebra I lesson, 9th graders use the Number Line application of the TI-83/84 calculator to find a fraction between any two fractions.
Middle schoolers investigate rational numbers.  In this rational numbers instructional activity, students play three games on their Ti-73 that involve converting fractions to decimals to percents.  Middle schoolers are timed as they convert fractions to percents to decimals.

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Rational Numbers