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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 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
Fraction Multiplication and the Products of Decimals
Class members come up with a hypothesis on the number of decimal digits in the product of two decimals. Learners work in groups to complete several decimal multiplication problems. The results help groups develop a conjecture on the...
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 lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
University of Minnesota
Fraction Operations and Initial Decimal Ideas
Add another strategy to the toolboxes of young mathematicians with this elementary math activity on using number lines to add and subtract fractions.
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
Place Value of Decimals to Hundredths: Diving for Decimals
Constructing decimals correctly is a crucial concept for elementary students to grasp. Here, have the young mathematicians in your class explore standard and expanded form while comparing decimal values. This unit is taught while...
Illustrative Mathematics
Dimes and Pennies
Help your fourth graders make cents out of fractions and decimals with this short word problem. After learning that dimes are one-tenth and pennies one-hundredth of a dollar, students write a fraction and decimal for a given number...
EngageNY
Comparing Integers and Other Rational Numbers
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
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
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...
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...
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
Doing Dewey Decimal
Learners examine the Dewey Decimal System and locate books in the nonfiction section. They examine a shelf of books and try to determine how the books are arranged, then watch a short video "Media Mania." Students then match construction...
Curated OER
Fraction and Decimal Ordering
Ordering numbers just got physical! Learners practice putting numbers in sequence, both in fraction and decimal form. To begin, they line up in birthday order and discuss the difference between ascending and descending. They are then...
Curated OER
Student Exploration: Fraction, Decimal, Percent
Students explore the concept of fractions, decimals, and percents. In this number sense lesson, students use a worksheet to guide them through the exploration of the relationship between fractions, decimals, and percents. ...
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.
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...
Curated OER
Froot Loops to the Max - 1
Middle schoolers complete and solve five questions related to a box of Froot Loops cereal. First, they determine how many of each color of Froot Loops and which color has the greatest and least frequency. Then, pupils write the fraction...
Curated OER
Froot Loops to the Max - 2
In this Froot Loops to the max worksheet, young scholars complete and solve 5 problems related to a box of Froot Loops cereal. First, they determine how many of each color is represented in the box of Froot Loops. Then, students...
EngageNY
Decimal Expansions of Fractions, Part 1
Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth lesson plan of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to determine the...
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.
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