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 reinforce...
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 at...
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 such...
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
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 lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
EngageNY
Percent
Extend percent understandings to include percents less than one and greater than 100. A great lesson has pupils build upon their knowledge of percents from sixth grade. They convert between fractions, decimals, and percents that are less...
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
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...
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...
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...
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...
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.
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 the...
Curated OER
Representing Fractions, Decimals, and Percents
In this fractions, decimals, and percents lessons, students explore various methods of representing fractions. They demonstrate situations that represent rational numbers. Students create a foldable exploring fractions, decimals and...
Curated OER
Fraction Conversion 2 (With Percents)
Fifth graders determine how to convert fractions, decimals, and percents. In this conversion lesson, 5th graders use an on-line applet to practice making these conversions. They review how to make the conversions in a whole class lesson...
Willow Tree
Circle Graphs
Pie isn't just for eating! Scholars learn to create pie charts and circle graphs to represent data. Given raw data, learners determine the percent of the whole for each category and then figure out the degree of the circle that percent...