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
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 War
Pupils play a math game. In this decimals and fractions lesson, they use base ten blocks to practice converting between decimals and fractions. Everyone plays a game called Decimal War to practice these concepts.
Curated OER
Comparing and Ordering Decimals - Complete Lesson Plan
Base ten blocks serve as visual representations of numbers that include decimals to the hundredths place. Children compare and order decimals in their math journal as they build the corresponding numbers with base ten blocks.
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.
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
Comparing Irrational Numbers
Build on your classes' understanding of irrational numbers by comparing their values. The 13th lesson in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing these numbers on a...
Curated OER
Decimals Decide Olympic Champions
The class discovers how a decimal can make all the difference in the Olympics. As they learn about decimal place values, they compare and contrast data and demonstrate decimal values using manipulatives.
EngageNY
Decimal Expansions of Fractions, Part 1
Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth lesson of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to determine the size...
Curated OER
Comparing and Ordering Fractions, Mixed Numbers, and Decimals
Create your own fraction kits by folding and labeling paper using fraction vocabulary. Learners then work in groups to use these in comparing and sequencing both whole numbers and fractions. They also create unit cubes and develop an...
Curated OER
Multiplying Decimal Numbers: Using Zeros as Placeholders
Explore decimals with upper graders. They solve problems from their textbook involving decimal multiplication. Afterward, as a class, they check their answers by comparing them to those projected with an overhead projector.
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
Infinite Decimals
Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....
Curated OER
Student Exploration: Fraction, Decimal, Percent
Pupils 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. Pupils work as...
Curated OER
Operations with Decimal Numbers
Sixth graders demonstrate operations with decimal numbers. In this computation lesson, 6th graders play the game "Diabolical Decimals." The objects of this game is to construct the largest number after rolling a die five times. The...
Curated OER
Shots, Standings, and Shopping
Rates and ratios can easily be applied to real-world situations. Learners explore a series of websites in order to procure comparable data. They define ratios and rates, view videos, and use the internet to explore how ratios and rates...
Curated OER
What's the Price?
Fourth graders learn about price and comparative shopping. For this price and comparative shopping lesson, 4th graders read Amy Axelrod's, Pigs Go To Market: Fun with Math and Shopping. They use the book to investigate the meaning of...
Virginia Department of Education
Ordering Fractions, Decimals, and Percents
Order up a resource on comparing rational numbers. Scholars order fractions, decimals, and percents by converting to a single form. They conduct a cut-and-paste activity ordering three sets of rational numbers.
Louisiana Department of Education
Fractions, Decimals, and Percents
Fractions, decimals, and percents all say the same thing! Show your classes how to convert between the three forms using visual and numeric representations. Then lead them to an understanding of scientific notation.
Curated OER
Coupon Clippers: Understanding Comparative Shopping
Third graders participate in a shopping spree after listening to Pigs Go to Market: Fun with Math and Shopping. After the story is read aloud, 3rd graders answer discussion questions and review key vocabulary. Students complete provided...
Curated OER
Reciprocal Learning-Decimal Review
Learners use reciprocal learning to coach one another in review of their prior learning about decimals. In this peer reciprocal learning decimal review lesson, students participate in conversation, accountability, roles and...
Curated OER
Giving it 100%
Students build knowledge about the number relationships between decimals and percents as it relates to converting decimals into percents. In this decimal and percent lesson, students recognize equivalent forms of fractions, decimals, and...
Curated OER
Smaller Than One
Sixth graders practice converting a fraction into a decimal and a percent. They explain relationships among rational numbers. They order and compare whole numbers, fractions (including mixed numbers), and decimals using a variety of...
Curated OER
Exploring Place and Space
Students explore number values by completing mathematical worksheets in class. In this decimals lesson, students identify the different place values a number has and the use of decimals to represent a fraction of a number. Students...