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EngageNY
Converting Repeating Decimals to Fractions
Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson in this 25-part module helps...
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
Converting Between Fractions and Decimals Using Equivalent Fractions
Use powers of 10 to convert between fractions and decimals. Pupils convert decimals to fractions by using place values in the 13th installment of a 25-part series. Class members reverse the process and find equivalent fractions with a...
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...
EngageNY
Decimal Expansions of Fractions, Part 2
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th instructional activity in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that...
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...
EngageNY
A Fraction as a Percent
It is all about being equivalent. Class members convert between fractions, decimals, and percents. By using visual models, scholars verify their conversions in the 25th portion of a 29-part series.
Curated OER
Decimals and Fractions
Learners convert decimals into fractions using tenths, hundredths, and thousandths. In this decimal to fraction conversion worksheet, students use knowledge of place values, as well as whole and mixed numbers to change the given list of...
Curated OER
Smaller Than One
Students examine how to convert fractions into decimals and percents. They work with base ten blocks and a worksheet to color in parts of 100 and renaming the parts as decimals and fractions.
EngageNY
Percent
Extend percent understandings to include percents less than one and greater than 100. A great instructional activity has pupils build upon their knowledge of percents from sixth grade. They convert between fractions, decimals, and...
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...
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...
Council for Economic Education
Calculating Simple Interest
How much is owed? A calculated resource introduces the simple interest formula with a video that describes how to use it. Classmates then show what they know by answering questions within a simple interest worksheet.
Curated OER
Converting Fractions to Decimals
Seventh graders take a simple fraction and give it decimal form either by the use of equivalent fractions or division with a calculator.
Curated OER
Decimal Baseball
Young mathematicians represent recorded information in decimal form. In this decimals lesson, learners play a "classroom friendly" basketball game in which pupils take 10 shots. Number of shots made out of 10 is recorded as a fraction...
Curated OER
Fractions, Decimals to Percents
Seventh graders convert fractions and decimals to percents. Using measuring cups, 7th graders model fraction/percent equivalents. They discuss how to change a decimal to a percent. Using the white boards, students review the different...
Mathematics Assessment Project
Translating Between Repeating Decimals and Fractions
Model for your young mathematicians the process for converting repeating decimals to fractions. To demonstrate their understanding of the process, class members then complete and assessment task and participate in an activity matching...
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...
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
Solving Percent Problems III
What happens when combining percentage discounts? The last lesson in a series of 29 introduces the idea of combining discounts one after another. Pupils wrestle with the claim that to find the total discount, they need to only add...
Curated OER
Using Decimal Benchmarks
Students demonstrate some common operations done while using fractions based upon mathematical standards. They are also changing common fractions to decimals with estimation skills and the use of a calculator.
Willow Tree
Simple Probability
The probability of learning from this lesson is high! Learners calculate probabilities as numbers and as decimals. They see how to use a complement to find a probability and even try a simple geometric probability problem.
Curated OER
Is Bigger Always Better?
Explore rational numbers with the young mathematicians in your class. They will investigate decimals, fractions, and percents before ordering and comparing rational numbers. This multi-day unit includes differentiation activities and...
Curated OER
Fractions, Decimals and Percents
Fifth graders describe parts of a whole as a fraction, decimal and a percent. In this math lesson, 5th graders practice converting fractions to decimals by dividing. Additionally, students explain how decimals are converted to...