 Common Core State Standards for Mathematics

Grade(s) 5 resources related to the following standard:
Number and Operations in Base Ten
Understand the place value system.
3. Read, write, and compare decimals to thousandths.
a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

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This interactive applet helps develop number sense. The user mentally estimates a number that is represented by an arrow on a number line and then checks the estimate by clicking to have the exact number revealed. Users can choose a number range for whole numbers (between 0 and 10, 100, 1000 or 10,000) or decimals (tenths or hundredths between 0 and 1). An optional scale of tick marks provides guidance. The activity does not provide a scoring component.
Interactive Media
Grade Level: K, 1, 2, 3, 4, 5
This 5-minute video highlights a grade 4 class using a game, Fill Two, to reinforce their understanding of decimals, specifically tenths and hundredths. Teacher Tiffani Poirier provides rationale and demonstrates implementation strategies. Downloadable support materials are included: lesson plan, game materials, teacher instructions, video transcript, and a SMART Board Notebook file.
Activity, Game, Lesson Plans, Video
This interactive Flash applet can be used to explore and predict the effect of multiplying and dividing by 10 and 100. Teachers or students click and drag number cards into places in either of the two middle rows. The cards in the first row move when the multiply or divide buttons are clicked, while cards in the second row stay in place for comparison. The information button (i) allows users to mouse over features to learn about their use. This applet lends itself well to use on an interactive white board. A pdf guide to this collection of teaching applets is cataloged separately.
Activity, Interactive Media
This simple game with 5 variations develops place value understanding and strategic thinking. It is played on paper with a 6- or 9-sided die (printable pdf game sheet included). Two players take turns rolling a die and placing the resulting number in one of their four cells, representing the places of a 4-digit number. In the basic version the player who creates the larger number wins. Variations include aiming for the smaller number or a predetermined target number, using a decimal point, placing numbers in an opponent's cells, and several scoring options. Teachers' Notes include suggestions for introducing the game, support suggestions, and a link to a more challenging extension (Dicey Operations, cataloged separately).
Activity, Game
Grade Level: 2, 3, 4, 5
This interactive Wolfram Demonstration helps students visualize and understand the relationship between fractions and decimals. Users manipulate controls to adjust the size of the decimal portion of a pie eaten, in increments of hundredths. The result is represented visually on the diagram of a pie as well as in fraction and decimal forms. The remainder of the pie is also displayed as a fraction and its decimal equivalent. Wolfram CDF Player, a free download, is required to view this resource.
Activity, Interactive Media
With this interactive applet students can develop their understanding of place value and the relative position and magnitude of numbers in the base-10 number system. Users drag given numbers to their position on a number line, zooming in and out to increase precision. They can select from six levels of difficulty (Tens, Hundreds, Thousands, Millions, Billions, Decimals) and from 1 to 3 dots. There are three modes: Explore, Practice, Test.
Activity, Interactive Media
Grade Level: 1, 2, 3, 4, 5
This interactive Shockwave applet provides practice in rounding numbers. Each level presents 10 grids of numbers, each with a specific challenge. Users select the number in the grid that is rounded correctly. Level 1 includes rounding whole numbers and numbers of one decimal place to the nearest unit, 10 or 100. Level 2 involves rounding off numbers with up to six decimal places. Level 3 includes rounding to a number of significant digits for whole numbers and decimals. A Key Ideas window explains how to round.
Activity, Interactive Media