Rational Numbers Teacher Resources

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Use this rational numbers activity to have learners multiply in five multiple choice problems. The solutions are available by clicking on the "Check It" button found on the bottom of the page.
In this rational numbers worksheet, students solve 18 different problems that involve rational numbers. First, they multiply and/or divide each problem. Then, students simplify by using exponent rules and writing the answer in its simplest form.
Students identify expanded notation and scientific notation. In this rational numbers lesson, students use a calculator to discover the powers of 10. Students practice writing numbers in expanded notation using powers of 10. Students watch a movie segment, practice powers of ten place value equivalencies and play a partner game. Students write large numbers in scientific notation.
For this rational numbers worksheet, students solve and complete 10 different types of problems. First, they add like terms and put the decimal place in the correct position. Then, students subtract like terms and place the correct sign with each answer.
In this English Learners vocabulary worksheet, 6th graders review the present tense and past tense form of the verbs change, drop, start, fall, begin, and find. Students then complete the sentences by writing the correct form of each verb.
Middle schoolers examine three equations with missing numbers or symbols then solve five word problems where they must use rational numbers and the correct order of operations.
In this ordering all four operations instructional activity, students order operations with rational numbers and evaluate each expression. Students write and solve seventeen problems.

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"Teens in the red" is a growing group. Help youngsters avoid future credit card debt by teaching them about interest. Two tasks involve the use of credit to give your class practice solving multi-step math problems by applying properties of operations. Hopefully they learn not only how quickly interest piles up, but also to avoid becoming one of the statistics!
Eighth graders review fractions, decimals, and integers. They complete a survey about favorite breakfast foods and display their results on a spreadsheet. They practice comparing fractions and decimals and play Fraction Bingo.
Students explore parts of a whole. In this fraction lesson, students determine what makes a fair share. Working with manipulatives, students solve mathematical problems containing fractions.
A short video can be shown to your class to explain time zones. (A free subscription to the teachers' website is required to access the video.) Pairs of workers use a time zone map to solve six scenarios on a worksheet. 
Subtracting negative numbers can be confusing and hard to comprehend. Show your learners the steps to solving these problems and patterns to help them remember. The video uses a pattern to show how subtracting a negative computes the same as adding. There is a large focus that subtracting a number is adding the opposite. This is the last video in a four-part series. Use the prior videos for real-life examples with subtracting negative numbers. 
Go to infinity and beyond and see what a repeating decimal actually looks like as it goes on and on and on and on. The poster uses rational numbers, imperfect squares, and the always popular π.
Going from fraction to decimal and decimal to fraction shouldn't be a chore, but an easy step for young mathematicians to do within problems. This interactive lesson shows how long division can change any fraction to a decimal. Started with a decimal? Watch how the decimal becomes the numerator and turns into a fraction. Learners will be able to find a common denominator and create two similar fractions to compare. Use the Test Yourself problems for more practice, including ordering rational numbers from least to greatest. 
If percents, fractions, and decimals can all mean the same number how do we go from one to another? During this lesson, watch how it goes over the basic steps needed to go from one rational number to the next. Both examples go in the order of fractions to decimals to percents, the first example goes backward to check. One lesson uses the reasoning of multiplying the denominator to get 100 and the other divides the fraction. Because of how simple the lesson is, some of the test questions may be too challenging without additional teaching. 
The associative property is a great way to support our learners when using mental math. The video reviews the rules of the property and practices with fractions to show how different grouping makes it easier to multiply. Incorporate the commutative property and watch the other videos in this series for more practice with the standard. 
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition or assessment.
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem, trigonometry ratios, angles of elevation, and geometry. After all the calculations are complete, learners write recommendation letters to outline the specific advantages and disadvantages to specific designs. 
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the geometric difficulty of scoring a hole-in-one, creative use of material, and best use of space. Designers need to include scale drawings of their designs complete with calculations and a report explaining the design. This a fantastic lesson that will get your kids motivated and thinking mathematically. 
Both positive and negative numbers, displayed as fractions and decimals, are provided for middle school mathematicians to compare and order. Ideally, you would have pupils construct number lines to explain their reasoning. Three worksheets come as part of this package designed for the Common Core. Any of them could be used as quick assessments or homework assignments.

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Rational Numbers