Partial Quotients Division vs Co

Partial Quotients Division helps students learn and practice the partial quotients division method step by step. The app gives students a visual way to solve division problems by making a series of estimates, subtracting partial products, and adding the partial quotients together. This can make division easier to understand than the traditional long division algorithm. Students can solve randomly generated problems or enter their own division problems. The Partial Quotients Method: In the partial quotients method, students divide by making estimates that are easy for them to use. For example, in 992 ÷ 8, a student might first estimate 100, leaving 192. Then the student might estimate 20, leaving 32. Finally, 8 goes into 32 four times. The result is found by adding the partial quotients: 100 + 20 + 4 = 124. Different students can use different estimates, making the method flexible and easier to understand. Teacher endorsements: “The math apps by Esa Helttula allow students to practice and reinforce the specific computation strategies taught in class, with as much or as little scaffolding as necessary. They also provide individualized feedback to each student, with an immediacy that is not always possible through pencil and paper practice.” — Rita Zeni, Ecole Sandy Hill Elementary, Abbotsford, BC, Canada “There are students who see my examples who still need some guidance, and after using your app have said, ‘Now I get it.’ The feature of selecting possible solutions in each step helps some of my students who are still building their multiplication facts.” — Zachariah R. Prowell, Highlands Elementary, Edina, Minnesota, USA Features: - Step-by-step partial quotients division practice - Dividend can have 2–5 digits - Divisor can have 1 or 2 digits - Randomly generated or manually entered problems - Current operation can be hidden - Operands of the current operation can be highlighted - Customizable interface colors - Adjustable animation speed Other iDevBooks Math Apps: Other iDevBooks math apps include Column Addition, Long Multiplication, Long Division, Column Subtraction, Visual Multiplication Table, Partial Differences Subtraction, Partial Products Multiplication, Partial Sums Addition, Decimal Rounding, and more. Feedback: New ideas to make this app better are welcome. Please visit idevbooks.com to give feedback. Privacy: This app has no ads, no in-app purchases, and does not transmit user data during operation. The app also does not contain links to other apps or to the web.

Co:Writer® Universal app and third-party keyboard gives students easy access to word prediction on iPad, iPad Pro, iPhone, and iPod Touch. Students simply sign in to their Co:Writer Universal accounts to write with their personal settings and vocabulary. ABOUT CO:WRITER UNIVERSAL This version is for schools with a Co:Writer Universal license only. Users without a Co:Writer Universal license must purchase the Co:Writer app. HOW DOES CO:WRITER WORK? As letters are typed, Co:Writer predicts the intended word with a selection of word suggestions using powerful grammar-smart word prediction. These suggestions can be read aloud with a swipe. Selecting the intended word places it into the writing document. For feedback while writing (and after writing) built-in text to speech can be used to read letters, words, sentences, and the entire document. 4+ MILLION TOPIC-SPECIFIC DICTIONARIES Co:Writer has access to a main prediction dictionary (that includes core words) and Topic Dictionaries (that includes topic specific words). Co:Writer can access over 4 million topic-specific dictionaries which are activated based on the writing task. A small sampling of the variety of topic dictionaries: - America's Cup - Apple II - Compare and Contrast - Dinosaurs - Grumpy Cat - History of the Peloponnesian War - Mahatma Gandhi - My Dog - Pig Latin - Rolls-Royce Silver Ghost - SpongeBob SquarePants - Tommy (album) - Wonders of the World SPELLING SUPPORT Co:Writer handles the widest range of spelling mistakes through its Flexspell™technology including phonetic spelling and inventive spelling errors (letter omissions, word ending omissions, letter reversals, etc). Examples of how Co:Writer aides with phonetic and/or inventive spelling: Before Co:Writer The blk jargon flu over the bra lfnt. R u hpy to ce me? I no hw to nor the fone. After Co:Writer The black dragon flew over the gray elephant. Are you happy to see me? I know how to answer the phone. GRAMMAR SUPPORT Co:Writer bases its prediction off of proper grammar, and uses its understanding of grammar to accurately predict words within the framework of valid sentence structures. Examples of how Co:Writer aides with grammar: Dogs are furry. (noun, verb, adj.) - When you typed d-o, you get plural noun choices Three very mangy dogs ran down the street. (adj., adv., adj., noun, verb… etc.) - After typing three, very, mangy, you get plural noun choices, then you get plural verb tenses. OTHER FEATURES - Built-in Text to Speech - Export