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For a novel use of the app, teachers might want to project their own Virtual Manipulatives app onto a classroom screen to explain equivalencies (showing students how to use the app in the process). For instance, in this type of whole-class use, teachers could challenge students to come up with possible equivalencies for a named fraction.
Because the app may take some practice to use, it's best to support kids with an initial demonstration of how to navigate the app, as well as a brief lesson in equivalency and conversions (if they haven't learned this already). Later on, as a warm-up activity, teachers could display a pre-made equation for kids to solve as they come into class.Continue reading Show less
The Virtual Manipulatives app is designed to help students better understand some foundational, yet often abstract, mathematical concepts. The app offers visualizations of fractions, decimals and percents to help students conceptualize how the three concepts work, relating visual depictions with their numeric expressions.
Users will arrange bar-shaped blocks or pie shaped pieces to represent different parts of a whole, while also comparing equivalencies and conversions. The app shows equivalent statements when items are clicked on which allow the user to pull out other frames for comparison. Students select bars (or pie pieces) from a menu, and drag them to the board; from there, they're free to arrange them in any way they'd like to help aid in visualization. Any page can be saved to the device's photo album.
Virtual Manipulatives has a focused purpose: to help learners visually understand the relationships among percentages, fractions, and decimals. Kids who've used similar fraction bars/tiles at school will probably know how to use the app, and may find it to be a great homework helper. However, for most kids new to the concept, it's likely that you'll need to explain the how and why for using this tool before they'll get much out of it. It's a pretty simple tool -- teachers will need to design lessons and tasks that students can use in order to cement learning.
While the app is fairly user friendly, navigation could be slightly more intuitive. Also, manipulating the bars and pie pieces could be a bit easier, especially for students without as much dexterity. Kids may need help to understand how to manipulate the selection tabs, and the bars and circles. After the initial learning curve, kids should be able to snap boxes together and line them up to convert percentages, fractions, and decimals with independence. Through visual representations, kids with a variety of learning styles can get a better sense of how these concepts work. And as a free app, it makes a good addition to your math apps collection.
Key Standards Supported
Number And Operations—Fractions
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
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 100.4 For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Ratios And Proportional Relationships
Make tables of equivalent ratios relating quantities with whole- number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
The Number System
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.