Standard 3 : Understand decimal notation for fractions, and compare decimal fractions. (Major Cluster) (Archived)

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Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

General Information

Number: MAFS.4.NF.3
Title: Understand decimal notation for fractions, and compare decimal fractions. (Major Cluster)
Type: Cluster
Subject: Mathematics - Archived
Domain-Subdomain: Number and Operations - Fractions

Related Standards

This cluster includes the following benchmarks
 Code Description MAFS.4.NF.3.5: Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100. MAFS.4.NF.3.6: Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram. MAFS.4.NF.3.7: Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.

Related Access Points

This cluster includes the following access points.

Access Points

 Access Point Number Access Point Title MAFS.4.NF.3.AP.5a: Find the equivalent fraction with denominators that are multiples of 10. MAFS.4.NF.3.AP.6a: Identify the equivalent decimal form for a benchmark fraction. MAFS.4.NF.3.AP.6b: Match a fraction (with a denominator of 10 or 100) with its decimal equivalent (5/10 = 0.5). MAFS.4.NF.3.AP.6c: Read, write, or select decimals to the tenths place. MAFS.4.NF.3.AP.6d: Read, write, or select decimals to the hundredths place. MAFS.4.NF.3.AP.7a: Use =, <, or > to compare two decimals (decimals in multiples of .10). MAFS.4.NF.3.AP.7b: Compare two decimals expressed to the tenths place with a value of less than 1 using a visual model. MAFS.4.NF.3.AP.7c: Compare two decimals expressed to the hundredths place with a value of less than 1 using a visual model.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Original Student Tutorials

 Name Description Fractions at the Fair: Equivalent Tenths and Hundredths: Learn about equivalent 10ths and 100ths and how to calculate these equivalent fractions at the fair in this interactive tutorial. Return to Deciland: Locating Decimals on a Number Line: Learn how to locate decimals on a number line and compare decimals to save the Decis from a wizard's spell in this interactive tutorial. Deci Land Escape: Help Rich escape Deci Land by learning how to write decimals that are related to fractions with denominators of 10 and 100 in this interactive tutorial.

Educational Games

 Name Description Fraction Quiz: Test your fraction skills by answering questions on this site. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. You can even choose difficulty level, question types, and time limit. Decimal and Fraction: This interactive Flash applet has students match fractions with their equivalent one- or two-place decimals. Students have a chance to correct errors until all matches are made.

Virtual Manipulative

 Name Description Fraction Models: An interactive tool to represent a fraction circle, rectangle, or set model with numerators and denominators ranging from 1 to 100. The decimal and percent equivalents of the created fraction are also displayed.

Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Original Student Tutorials

 Title Description Fractions at the Fair: Equivalent Tenths and Hundredths: Learn about equivalent 10ths and 100ths and how to calculate these equivalent fractions at the fair in this interactive tutorial. Return to Deciland: Locating Decimals on a Number Line: Learn how to locate decimals on a number line and compare decimals to save the Decis from a wizard's spell in this interactive tutorial. Deci Land Escape: Help Rich escape Deci Land by learning how to write decimals that are related to fractions with denominators of 10 and 100 in this interactive tutorial.

Educational Games

 Title Description Fraction Quiz: Test your fraction skills by answering questions on this site. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. You can even choose difficulty level, question types, and time limit. Decimal and Fraction: This interactive Flash applet has students match fractions with their equivalent one- or two-place decimals. Students have a chance to correct errors until all matches are made.