Rational Numbers Teacher Resources

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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 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 activity 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.
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. 
For 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 activity, 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 worksheet, students 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 activity, students solve 2 word problems where they use rational numbers. A detailed 5 step problem solving process and an example are provided.
Learners solve proportions.  In this rational numbers lesson, students represent information in fractions and ratios.  They solve proportions and determine unit cost.  Learners 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. 
Using two colors of counting chips, seventh graders review the multiplication of rational numbers and then explore how to divide them. They play an online game, "Multiplying and Dividing Signed Numbers," and afterward they devise sign rules for dividing integers. You will find dialogue, diagrams, and links to useful support resources in this well-written lesson plan. 
Students explore the concept of Egyptian contributions in mathematics. In this Egyptian contribution instructional activity, 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 worksheet, learners rewrite 8 rational numbers and then locate each of them on the number line provided on the worksheet.
Ninth graders explore the property of density of rational numbers.  For 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.

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