Calculation Triangle vs Number Pieces, by MLC

This virtual manipulative encourage the development of flexible arithmetic thinking. Watch a video of the app: http://www.youtube.com/watch?v=iN3b20F6UC8 A calculation triangle is splited into three fields. Each field can contain tokens. On each edge the sum of the two corresponding fields is written. And this is how it works: Touch with you fingers on a field to produce tokens and move them from one field to another. Move tokens out of the triangle to delete them. Close the shutter to hide a field. If you swipe over a number you can hide it or show it again. Shake the calculation triangle to emty it. This virtual manipulative does not include tasks. But you can use this app to create puzzle problems for a learning partner or to model and solve existing tasks. Here are some exemples for good tasks to effectively work with this app: Find the missing numbers? Figure out how many tokens are on the hidden field? How do the numbers change, if you ... ... add/remove one (two, three, ...) token to each field? ... move one (two, three, ...) token from one field to another? ... add one token to two of the three fields? ... Is it possible to have three odd numbers? Why (not)? Is there a relationship between the sum of the numbers and the total quanitiy of tokens on the fields? Is it possible to produce any numbers or are there restrictions?

Number Pieces helps students develop a deeper understanding of place value while building their computation skills with multi-digit numbers. Students use the number pieces to represent multi-digit numbers, regroup, add, subtract, multiply, and divide. FEATURES • Add and manipulate pieces (ones, tens, and hundreds). • Change the starting set of pieces to a basic or an advanced set. • Join pieces in groups of ten or break them apart (e.g., 10 ones into 1 ten and vice versa). • Use the expanding edge piece like a measuring tape to show the dimensions of arrays created with the pieces. • Choose from three different colors to clearly identify groups or pieces. • Move, rotate, and duplicate pieces individually or as a group. • Use the drawing tools to label representations and show understanding. • Add equations, expressions, and descriptions with the math text and writing tools. • Zoom and scroll to work with larger collections of pieces. • Hide and reveal work with resizable covers to create your own problems and model strategies. • Share your work by saving an image or providing a share code to others. MORE APPS For more Number Pieces resources and other apps, visit: www.mathlearningcenter.org/apps LEARN MORE To learn about Bridges in Mathematics, an elementary curriculum that employs visual models like number pieces, visit: www.mathlearningcenter.org/bridges/overview ABOUT US This resource is brought to you by The Math Learning Center, a nonprofit organization dedicated to K-12 education since 1976. ACKNOWLEDGEMENTS Number Pieces was made possible by a generous donation from Dr. David Moursund. This app was crafted by Clarity Innovations. We help improve teaching and learning by creating solutions that match promising technologies with the needs of education. Visit us: www.clarity-innovations.com