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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...
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...
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...
Curated OER
Unlocking the Secrets of Math: Simple Steps to Becoming a Better Mathematician
Help your students remember math tricks and rules. Review working with positive and negative numbers, decimals, and the order of operations in this engaging presentation.
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
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...
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...
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
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
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
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
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 instructional activity which should give your learners a good understanding of this technique. One nice thing about the...
Willow Tree
Percents
We see percents everywhere! Building a solid understanding of their meaning is important to future mathematics, but also as citizens. Young scholars practice rewriting decimals, percents, and fractions. They also determine percents of a...
West Contra Costa Unified School District
The Power of Ten: Building a Magnitude Model
Add visual representation to teaching place value with a magnitude model. Using adding machine tape, pupils build a linear place value strip from 1 to 100.
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
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
Place Value
Practice place value skills with this lesson. Learners put numbers in order from greatest to least, identify the values of particular numbers, and engage in an activity to compare numbers using manipulatives.
Curated OER
Pardon Me. Do You Have Change For a Dollar?
Upper elementary and middle school learners explore currencies from a variety of countries. They use the Internet, video, and engage in hands-on activities. They practice converting U.S. currency to foreign currency and vice versa. This...
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
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.