Lesson OverviewStudents learn the definition of rational number, and they write rational numbers as ratios of integers and as repeating or terminating decimals.Key ConceptsStudents have been working with rational numbers throughout this unit, but the term rational number is formally defined in this lesson. A rational number is a number that can be written in the form pq, where p and q are integers. All the integers, fractions, decimals, and percents students have worked with so far in their math classes are rational numbers. Following are some rational numbers written as ratios of integers:36=361−1.2=−12105%=5100 −12=−12Any rational number can also be written as a decimal that terminates or that repeats forever in a regular pattern. For example, 35 = 0.6 and 711 = 0.63636363… Repeating decimals are often written with a bar over the digits that repeat. For example, 0.63636363… can be written as 0.63¯.There are numbers that are irrational. These numbers include π and the square root of any whole number that is not a perfect square, such as 2. The decimal form of an irrational number does not terminate, and the digits do not follow a repeating pattern. Students will study irrational numbers in Grade 8.Goals and Learning ObjectivesUnderstand the definition of rational number.Write rational numbers as ratios of integers.Write rational numbers as terminating or repeating decimals.SWD: Students with disabilities may have difficulty working with decimals and fractions, especially moving between the two. If students demonstrate difficulty to the point of frustration, provide direct instruction on the basics for finding equivalent fractions and decimals.ELL: Target and model key language and vocabulary. Specifically, focus on the term rational, as well as terms such as terminate. As you’re discussing the key points, write the words on the board or on large sheets of paper and explain/demonstrate what the words mean. Since these are important points that students will be using throughout the module, write them on large poster board so that students can use them as a reference. Have students record new terms, definitions, and examples in their Notebook. 

This short video and interactive assessment activity is designed to teach fifth graders about converting centimeters to millimeters with decimals.

CK-12 Foundation's Middle School Math Grade 6 Flexbook covers the fundamentals of fractions, decimals, and geometry. Also explored are units of measurement, graphing concepts, and strategies for utilizing the book's content in practical situations.

Provides teaching tips, information on common errors, differentiated instruction, enrichment, and problem solving for teachers to use with the CK-12 Middle School Math - Grade 6, Student Edition.

A work in progress, CK-12's Math 7 explores foundational math concepts that will prepare students for Algebra and more advanced subjects. Material includes decimals, fractions, exponents, integers, percents, inequalities, and some basic geometry.

This short video and interactive assessment activity is designed to teach fifth graders about multiplying and dividing decimals - word problems.

This short video and interactive assessment activity is designed to give fifth graders an overview of decimal word problems.

This short video and interactive assessment activity is designed to teach fifth graders about multiplying decimals by multiples of 10.

This short video and interactive assessment activity is designed to give fourth graders an overview of - hundredths.

This short video and interactive assessment activity is designed to give fifth graders an overview of decimal multiplication.

This short video and interactive assessment activity is designed to give fourth graders an overview of - tenths.

This short video and interactive assessment activity is designed to give fourth graders an overview of - thousandths.

This lesson unit is intended to help teachers assess how well students are able to: translate between decimal and fraction notation, particularly when the decimals are repeating; create and solve simple linear equations to find the fractional equivalent of a repeating decimal; and understand the effect of multiplying a decimal by a power of 10.

This short video and interactive assessment activity is designed to teach second graders an overview of rounding decimal numbers.

This short video and interactive assessment activity is designed to give fourth graders an overview of rounding decimal numbers.

This short video and interactive assessment activity is designed to give fifth graders an overview of rounding decimal numbers.

This short video and interactive assessment activity is designed to teach second graders about rounding to the nearest 2 decimal places, or the hundredths place.

This short video and interactive assessment activity is designed to teach second graders about solving decimal word puzzles.

This document is from Tools4NCTeachers. This provides additional resources (videos, children's literature, technology) to share with parents and to support teachers' work with the concepts in Grade 4, Cluster 5.