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Curated OER
Whole Numbers, Fractions, and Decimals
Elementary and middle schoolers participate in an assignment to explore the concept of division and having a remainder. They also practice division problems using decimals and fractions without a remainder.
Curated OER
Relating Fractions and Decimals
Sixth graders identify how fractions and decimals both illustrate parts of a whole. They estimate which number is greater by comparing them to the given fraction and use greater than or less than symbols for each.
EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
EngageNY
The Long Division Algorithm
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 2
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
Curated OER
Division of Decimals
Work with the class to investigate the concept of dividing decimals. They will use a variety of problem-solving skills in order to practice the operation of division. The teacher can use the dialogue to guide learners through the various...
Curated OER
Operations with Decimals
Teach your learners to solve word problems. They will review how to add, subtract, multiply, and divide with decimals. Then they solve multiple problems.
EngageNY
Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
Curated OER
Number: Whole Numbers and Decimals
Young scholars explore whole numbers and decimals. In this decimal instructional activity, students discover how to perform multiplication with decimals as they complete a worksheet.
EngageNY
Converting Rational Numbers to Decimals Using Long Division
Convert fractions that cannot be written with a denominator that is a power of 10. Pupils use the definition of a fraction and long division to convert fractions to decimals, then discover that some divisions terminate and others...
Illustrative Mathematics
Equivalent fractions approach to non-repeating decimals
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks...
Virginia Department of Education
Practical Problems Involving Decimals
After discussing decimals and "going shopping" in the classroom, young mathematicians are given four practical word problems that require them to estimate their answers, given specific information. The highlight of the lesson...
Curated OER
Multiplying and Dividing Decimals
Learn to multiply with decimals. The class reviews multiplying multi-digit whole numbers based off of word problems. Then they learn how to multiply using decimals and practice with money problems.
Curated OER
Multiplication and Division Word Problems Made Easy
Marbles to learn math? What fun! Discuss the rules of multiplication and division when applied to whole numbers, decimals, and fractions. Small groups use6 marbles to design different types of multiplication and division problems, and...
National Education Support Service
Division Note Cards
Sixth graders create note cards to divide multi-digit whole numbers by two-digit numbers and divide decimals that represent money by whole numbers in a simpler and faster fashion. They write the rules and examples of each on the cards...
EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math
Make math much simpler with mental math methods. The 16th installment in a series of 21 looks at ways scholars can apply mental math to convert division problems into easier problems with the same quotient. Multiplying or dividing both...
Illustrative Mathematics
Movie tickets
This is a good Common Core question that relates inflation to operations with decimals and rounding. Young learners are asked to find out if an amount of money can purchase the same amount of movie tickets in 2012 as it did in 1987. They...
Illustrative Mathematics
Buying Gas
A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...
Curated OER
Multiplication and Division of Real Numbers
In this multiplication and division worksheet, students multiply and divide positive and negative fractions, decimals, and whole numbers. This two-page worksheet contains 72 problems.
Pennsylvania Department of Education
Using the Coordinate Plane in Problem Solving
Fifth graders practice solving problems. In this fraction and decimal activity, 5th graders recognize the relationship between fraction and decimals. Students estimate problem results and write expressions to use for problem...
Illustrative Mathematics
Gifts from Grandma, Variation 3
There are three money word problems in this activity, each one is set in the same context. The first asks what was the total amount grandma spent, the second how many grandchildren grandma has, and the third asks how much grandma spent...
Curated OER
Music Favorites and Place Value
Fourth graders view CD ads and create a chart about an imaginary CD purchase. In this CD lesson, 4th graders calculate various cost connected with the CD's at the regular price and on sale. Students write a paragraph about the...
Curated OER
Fractions and Ribbons
Sixth graders explore using inverse operations to solve decimal and fraction problems. In this decimal and fraction lesson, 6th graders prepare ribbon for a part and need to cut it in equal lengths. Students analyze the problem.
Curated OER
Positive and Negative Numbers
Pupils use blocks and markers to illustrate the processes of adding, subtracting, multiplying and dividing integers. In this mathematics lesson, learners use Algebra blocks to demonstrate multiplying polynomials.