Curated OER
Multiplication and Division Pick 'n' Mix 2
Fifth graders practice a wide range of strategies for solving multiplication and division problems with whole numbers and decimal fractions. They interact with operations on decimals, relevant size and place value of decimals to three...
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
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...
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...
Curated OER
Repeating Decimal as Approximation
You are used to teaching repeating decimals with bar notation that keeps us from writing that number over and over again; now teach what the over and over again represents. This activity allows your mathematicians to explore the infinite...
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side 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...
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...
Curated OER
Dividing Whole Numbers by the Power of Ten
Knowing how to properly place the decimal point when dividing by powers of ten is an important skill. Here is a lesson which should give your learners a good understanding of this technique. One nice thing about the lesson is the many...
Curated OER
Fractions Forever!
Middle schoolers identify proper, improper fractions, and mixed numbers. They reduce fractions to their lowest terms. They add and subtract fractions with different denominators, and multiply and divide fractions, as well as...
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
Partial Quotient
Students study what occurs in the division process, rather than just following prescribed steps. They expand number sense to include integers and perform operations with whole numbers, simple fractions, and decimals. They write a word...
EngageNY
Decimal Expansions of Fractions, Part 2
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
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
Dividing Decimals
In this mathematics worksheet, 6th graders find the quotient for each problem listed. Then thy explain their estimates, divide, and multiply to check their answers.
Curated OER
Dividing
Fifth graders explore the inverse proportional relationship and direct proportional relationship. They complete division chart showing the inverse relationship and direct relationship. Students are shown that division problems can be...
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.
College of William and Mary
Decimal Operations Using Base 10 Blocks
Let's get this block party started and learn about decimals! Here are four main lessons that teach the operations with decimals while using base 10 blocks to provide a hands-on learning approach. Supplemental worksheets and other...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 14
Be sure to place value on place value understanding. Young mathematicians learn to divide decimals by whole numbers when compatible numbers are not available. They use place value discs in place value charts, then connect this strategy...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 15
Remainders don't need to remain a mystery. The 16th of 18 parts in Grade 5 Math Module 1 continues the study of dividing decimals by a whole number. Scholars see how to rename the remainder to a smaller unit, such as when dividing 1.7 or...
Curated OER
Multiplying and Dividing Decimals
Division with decimals is explained using prior knowledge of powers of 10 and how to convert both sides of a division problem using this knowledge. The class works together through reading and setting up an equation for a word problem....
Curated OER
How Much Does Soap Cost?
Explore multiplication and division using real life problems, including how to find the cost of soap per bar. Individuals or small groups work to find answers. They then share with the class how they found their answer.
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 2
What are the place value patterns? An informative lesson plan helps scholars build upon their knowledge of place value to see patterns when multiplying and dividing by powers of 10. Classmates begin the second installment by reviewing...
Curated OER
Expressing Percent as Fraction or Decimal
In this expressing percent as fraction or decimal worksheet, 6th graders use the computer program Understanding Percent for instruction, then practice simplifying fractions and converting percents to fractions and decimals.
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