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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...
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...
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
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...
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
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
Decimal Baseball
Young mathematicians represent recorded information in decimal form. For 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
The Art of Interpreting Percent
Ddefine the relationships between fractions, decimals, and percentages in a series of lessons. The class practices converting between these three versions of a number. They also find the common factor of a numerator and denominator and...
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.
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...
EngageNY
Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth instructional activity of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns,...
EngageNY
Percent
Extend percent understandings to include percents less than one and greater than 100. A great lesson plan has pupils build upon their knowledge of percents from sixth grade. They convert between fractions, decimals, and percents that are...
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
Decimals and Fractions
Students convert decimals into fractions using tenths, hundredths, and thousandths. For 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
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
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...
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.
EngageNY
Grade 5 Math Module 1, Topic E, Lesson 12
Continuing from the previous instructional activity, scholars work on mastering the skill of multiplying decimal fractions by a whole number. The method employed in the instructional activity is to convert the decimal fraction to its...
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
Using Decimal Benchmarks
Young scholars 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.