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 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...
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...
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 decimal...
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 at...
Curated OER
Operations with Positive Fractions and Decimals
Explore the concept of fractions and decimals! In this fractions and decimals lesson, pupils use fraction tiles to express fractions. They play a fraction review basketball game where when a team gets a question correct they get to shoot...
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
Arithmetic: Fractions
Mathematics aces, after a warm-up activity with some easy calculations, practice solving rules of signs and powers of 10 equations. Multiplying and dividing decimals is also covered within this lesson in depth. A variety of examples and...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 13
After completing a fluency practice set on subtracting, multiplying, and comparing decimals, pupils begin learning about dividing decimals by whole numbers. They see how to use place value reasoning to find compatible numbers for...
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...
Curated OER
Multiplication and Division of Real Numbers
For this multiplication and division worksheet, students multiply and divide positive and negative fractions, decimals, and whole numbers. This two-page worksheet contains 72 problems.
Curated OER
Problem Solvers
Fifth and sixth graders compare decimals to the place-value structure in the base-ten number system. They represent fractions as parts of unit wholes, as parts of a set, as locations on a number line, and as divisions of whole numbers....
Curated OER
Lesson 3: Number Sense
Learners solve word problems using number sense. They convert fractions to decimals and mixed numbers. Pupils determine if a given fraction is greater or less than another fraction, and order numbers on a number line.
Curated OER
Metric Magic
Sixth and seventh graders construct a "metric machine" as a kinesthetic aide in converting from one unit to another in grams, liters, or meters. They complete a metric activity on the Internet and view about five minutes of a video on...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 1
Extend the place value system. The first lesson plan in a series of 18 extends the place value system to millions through thousandths. Using place value charts, pupils see how the value of a digit changes as it moves places. Teachers use...
Curated OER
Equivalent Decimals
Students develop strategies to find equivalent decimals. In this equivalent decimals instructional activity, students participate in a variety of decimal games to find equivalent decimals.
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...
Curated OER
Partial Quotient
Young scholars 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...
EngageNY
Estimating Digits in a Quotient
Boiling down any division problem to a one-digit divisor problem sure makes estimation easy. The lesson shows how to estimate division problems by using place value understanding and basic arithmetic facts to simplify the division. Some...
Curated OER
Multiplying Decimals and Mixed Numbers
Students practice multiplying decimals and/or mixed numbers, explore the effects of multiplying decimals and mixed numbers, and practice predicting the effects of multiplying a number by a decimal or mixed number.
Curated OER
Hollywood's Top Ten
Students gather data on top 10 highest grossing movies, and make a bar graph and a pictogram.
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 such...
Education Development Center
Geography of the Number Line
It's more than just numbers on a line, its an organizational, mental math machine to help learners understand the value of numbers. The tool is handy when introducing positive and negative integers to see their values and relationships....
Curated OER
Finding Equivalent Forms For Positive Rational Numbers
Learners discuss the relationship between and the equivalent forms of rational numbers. They will convert numbers from decimals to fractions, understanding they are equivalent, but just different forms.
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