Willow Tree
Rational vs. Irrational Numbers
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
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...
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.
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
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
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...
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
Number: Whole Numbers and Decimals
Students explore whole numbers and decimals. In this decimal lesson plan, students discover how to perform multiplication with decimals as they complete a worksheet.
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.
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...
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
Operations with Positive Fractions and Decimals
Explore the concept of fractions and decimals! In this fractions and decimals instructional activity, pupils use fraction tiles to express fractions. They play a fraction review basketball game where when a team gets a question correct...
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
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
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
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...
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
Naming Fractional Parts of a Whole
Third graders complete a worksheet. In this fractions lesson, 3rd graders review fraction vocabulary, use the SmartBoard to divide fractions and complete stations where they work with fractional parts of a whole.
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
Musical Whole Numbers
Fourth graders participate in a musical chair activity in which they practice identifying whole numbers. In this number sense instructional activity, 4th graders listen to a song and must get in the order of the number they hold on...
PB Works
Numbers Lesson 3 - Hershey Bar Fractions
Talk about delicious math! Pupils solve problems involving rational numbers and analyze real-life problems to find solutions in a pre-algebra class. They discuss the sections of a Hershey's bar in terms of fractions and decimals before...
Curated OER
Decimal Search
Students locate and report on books using the Dewey Decimal System. They return the book to its proper place.
Curated OER
Multiplying Decimals and Mixed Numbers
Students multiply decimals and/or mixed numbers. They explore the effects of multiplying decimals and mixed numbers. They practice estimating answers when a number is multiplied by a decimal or mixed number.