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    Jivey shares ideas and lessons to make literacy accessible for all.

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    Why I love the Division Area Model (and you should, too)!

    November 20, 2015

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    I know there is a lot of controversy about the Common Core, and that is not what I’m here to discuss. If you are a teacher, whether you are for or against CCSS, you have to teach the standards! So I am here to (hopefully) make your life a little easier. 🙂

    The division area model can seem difficult to teach because it’s NEW to so many, but actually, I found my students to be MUCH more successful with it than the traditional long division algorithm.

    >>>Why?<<<
    Well, first of all, students have been working on multiplication facts for about a year by the time you get to division in 4th grade (counting third grade practice, and constant practice the first part of fourth grade). This method makes them think in a “multiplication problem with a missing product” kind of way.
    Second, the area model breaks down a “hard” division problem into a few easier ones. 
    Third, it helps them SEE what they are actually dividing (hundreds, tens, and ones), unlike the traditional algorithm. 
    And fourth, it allows them to “check” themselves much easier.

    >>>How do I do it?<<<
    The size of your model, or number of “boxes” will be determined by your dividend- I will be demonstrating with a 3-digit dividend, but you can absolutely use this (and should!) with 2-digit, 4-digit, and so on. 
    Area Models With Ideas by Jivey
    First, let’s look at what the students will be doing with manipulatives. It’s important to start with concrete models first before moving to the more abstract. We are going to divide 834 by 3. We start in the hundreds. We can only put two hundreds into three groups to divide evenly.
    Area Models With Ideas by Jivey

    That means we need to slide the “remainders” over to the tens place, but we also need to trade those two hundreds for twenty tens to be able to make groups.

    Area Models With Ideas by Jivey

    Now, we can put seven tens into three groups to divide evenly.

    Area Models With Ideas by Jivey

    So again, we slide those remainders over, this time to the ones… so those two extra tens should now be traded for twenty ones.

    Area Models With Ideas by Jivey

    And of course, we can divide 24 into three equal groups by putting eight in each group!

    Area Models With Ideas by Jivey
    By adding up the numbers across the top, you get your quotient!
    278!
    Now for the more abstract model… using numbers. Same idea as with manipulatives! You are only dividing the hundreds first, so 3 x ___ = a number close to 8?
    Area Models With Ideas by Jivey
    Just to show you what might happen (and probably will), here is a student who doesn’t start off grouping correctly:
    Area Models With Ideas by Jivey

    The same could go if they said 300 could be in each group… when they go to subtract 900, they are going to see that 300 can’t be correct! But luckily, this student figured out it was 200. 🙂

    Area Models With Ideas by Jivey

    Moving to the tens, same idea- I like to have the students “box” what they are going to be dividing. This way, they remember it is 23 tens, not just 3 tens.

    Area Models With Ideas by Jivey
    They will have that remainder of 24 to move over to the ones, which hopefully they can very easily answer 8×3=24! 🙂
    Area Models With Ideas by Jivey

    Finally, just like before, add up all those numbers across the top of the model to get your quotient!

    Area Models With Ideas by Jivey

    I like to give students this larger workmat (laminated) with a dry erase marker to help them do their work. Not only is it more fun, but of course, it is also easier to erase, and erase, and erase… 🙂

    Area Models With Ideas by Jivey

    You can find this activity (and many other division stations) in my Differentiated Division Stations for Math Workshop pack! I also have other math station sets in my store.

    Check out these blog posts, too, on why to use Math Workshop and how to Manage Stations!

    Follow my Math Workshop Pinterest Board for even more great ideas!
    Follow Ideas By Jivey’s board Math Workshop Ideas on Pinterest.

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    Math Math Workshop
    by Jessica Ivey 

    About Jessica Ivey

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    Welcome!

    Welcome!

    Hi, I'm Jessica, also affectionately known as Jivey! I am passionate about making literacy accessible for all students using research-based strategies. Students learn best through content integration and in-context skills, and my goal is to help you deliver your instruction with these best practices!

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    Ideas By Jivey

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    Ideas By Jivey
    Today's $2 unit is another great book to use during those early weeks of school. Plus, bonus!!, the kids find this book HILARIOUS! www.ideasbyjivey.com/coupon/OTTERS/In this pack, you will receive:★a mentor sentence lesson for the book★an interactive notebook activity to review/teach adjectives★six reading ideas suggested with two activities provided: using text evidence and character traits★two writing ideas suggested with a writing prompt given★contextual vocabulary activities★ Activities are also provided as links to Google Slides for Digital Learning! ★Get it for just $2 here: www.ideasbyjivey.com/coupon/OTTERS/ ... See MoreSee Less

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    Ideas By Jivey
    Right?! Picture books are for every👏🏼one!👏🏼 ... See MoreSee Less

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    Ideas By Jivey

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    Ideas By Jivey
    I shared my TPT story with you back in April... (if you missed it, you can check it out here: ckarchive.com/b/4zuvheh5z24kp)As promised, the next big celebration update has happened!! FIVE brand new units have been added to the Yearlong Mentor Text Curriculum Bundle: Volume 2 for Grades 3-5! www.teacherspayteachers.com/Product/Yearlong-Mentor-Text-Curriculum-Bundle-Volume-2-for-Grades-3-... (This is the large $99 bundle that covers the entire year with mentor sentences, interactive activities, reading and writing, and vocabulary.)If you own the large bundle, whether it's through TPT, my website shop, or through a course purchase, you will get these FIVE NEW UNITS (valued at $18.75) FOR FREE!! Just re-download your purchase!📔School's First Day of School by Adam Rex📘Our Table by Peter H. Reynolds📗The Widow's Broom by Chris Van Allsburg📙Sofia Valdez, Future Prez by Andrea Beaty📕Vulture Verses by Diane LangI am creating these units to strategically align with the large bundles- you'll find the books chosen in volume 2 cover language skills that didn't have lessons previously, and can also be paired nicely with books included in the original bundle. For example, use Vulture Verses with Animals Nobody Loves!Just as a reminder, YES! I plan on doing the same thing for all of the other yearlong volumes, so don't be upset if you own another volume, or another grade! (And remember, Volume 1 already has its bonuses added!!) I am going in order of when I released them, and as you can imagine, it takes some time to create so many brand new units. 😉If you DON'T OWN the Volume 2 Yearlong Bundle and still want these five amazing book units, you can get them now ON SALE for just $3 each for the next 48 hours! www.teacherspayteachers.com/Store/Ideas-By-Jivey/Order:Most-Recent#seller_details_tabsThank you again for all your support and feedback over the last decade! Here's to at least ten more!! ... See MoreSee Less

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    Right?!! Don’t take away my #mentortexts! #pictu Right?!! Don’t take away my #mentortexts! #picturebooksaremyjam #picturebooksareforeveryone 

#ideasbyjivey #teachersfollowteachers #teachersofinstagram #teachersofig #teachertribe #iteach345
    Every Tuesday in June and July, you'll be able to Every Tuesday in June and July, you'll be able to purchase one of the MANY individual #mentortext units that I've created from my website shop!

This is a great way to stock up on some new lessons for next school year. 🎉

The first $2 Tuesday is TODAY, and is the unit I created for the WONDERFUL mentor text, Trombone Shorty!

Don't own the book? Don't worry! It's on Storyline Online! 

In this pack, you will receive:

★a mentor sentence lesson for the book

★an interactive notebook activity to review/teach comparatives and superlatives

★seven reading ideas suggested with three activities provided: identifying theme, describing illustrations, and analyzing author's language

★one writing idea suggested with a writing prompt given

★contextual vocabulary activities

★ Activities are also provided as links to Google Slides for Digital Learning! ★ 

Link in profile! https://www.ideasbyjivey.com/coupon/TROMBONE2/ 

#ideasbyjivey #2dollartuesday #mentortext #mentorsentences #iteach345 #iteach3rd #iteach4th #iteach5th #teachersfollowteachers #teachertribe #teacherdeals
    Enough is enough. I’m sick over this. I’m sick Enough is enough. I’m sick over this. I’m sick OF this. I’m tired of children’s and teachers’ lives being lower on the list than the right to bear arms. Sending love to all my Texas teachers and families. Comments are turned off and yes, removed, because this is NOT an argument. Go to someone else’s post to do that. This is the 30th school shooting this year. This doesn’t happen in other countries, yet there is still plenty of evil there. I’m done.
📸: @theteachingtexan
    When I began creating #mentorsentence resources to When I began creating #mentorsentence resources to list in my TpT store over ten years ago, it was because of the huge shift I’d seen in my own students implementing the game-changing routine. I LOVE to hear other teachers have the same results! 🥰 #fabulousfeedback #ideasbyjivey #teachersfollowteachers #teachersofinstagram #teachersofig #teachertribe #iteach345 #mentorsentences
    Can students think critically about grammar!? YES Can students think critically about grammar!?

YES THEY CAN!

I know higher order thinking skills (HOTS) are generally not associated with grammar, but give it a chance… you’re going to see a HUGE shift in writing abilities and language understanding if you do!

Check out the blog post in my profile for a run-down and a free download to help you get started! https://www.ideasbyjivey.com/higher-order-thinking-questions-for-grammar-and-writing/ #ideasbyjivey #grammar #language #mentorsentences #effective #teachersfollowteachers #teachersofinstagram #teachersofig #iteachupperelementary #iteach345
    My club units have been some of my favorite resour My club units have been some of my favorite resources to create because the planning and creation were guided by the teachers using them!

Because of the input from your fellow teacher community, I know these units will be such a benefit to you, too! Every unit in the bundle has: 

📕a week of plans that integrate multiple skills and subjects
📙detailed explicit lessons, including teacher samples
📒a week-at-a-glance plan
📗digitally converted activities in Google Slides and Forms, when applicable
📘mentor sentence lesson
📕reading and writing lessons
📙integration of other subjects (science, social studies, or social/emotional skills)
📒printables for skill practice
📗at least one other text (poem, article, paired passages)* to integrate with your lessons *this will vary each unit depending on skills covered!
📘short assessments

Check out the latest bundle at the link in my profile! https://www.teacherspayteachers.com/Product/MENTOR-TEXT-CLUB-by-Jivey-2ND-EDITION-for-Grades-3-5-7058941 
#ideasbyjivey #mentortext #mentortexts #teachersfollowteachers #mentorsentences #effective #teachersofinstagram #teachersofig
    Did you know I have a total breakdown of how mento Did you know I have a total breakdown of how mentor sentences can look day by day in your classroom?
Head over to my blog! www.ideasbyjivey.com #ideasbyjivey #mentorsentences #teachersfollowteachers #iteach345 #teachersofinstagram #teachersofig
    Elizabeth Started All the Trouble by Doreen Rappap Elizabeth Started All the Trouble by Doreen Rappaport is the perfect #mentortext to incorporate in your studies of women's suffrage. With this unit, you'll be able to work with students on analyzing primary sources (specifically political cartoons, but also some written documents), identifying supporting reasons and details, writing opinion pieces, and using relative pronouns. This unit is the perfect way to integrate social studies with language arts! Grab it from the link in my profile! https://www.teacherspayteachers.com/Product/Elizabeth-Started-All-the-Trouble-Womens-Suffrage-Mentor-Text-Unit-8036259 #ideasbyjivey #teachersfollowteachers #teachersofinstagram #teachersofig #socialstudiesintegration #iteach345 #teacherspayteachers
    This feedback means so much to me because as I’v This feedback means so much to me because as I’ve made my mentor sentence lessons over the last ten years, I’ve put so much thought into the way I craft my units and bundles! Thank you for trusting me! ❤️ #mentorsentences #ideasbyjivey #teachersfollowteachers #teachersofinstagram #teachersofig #iteach345 #iteach3rd #iteach4th #iteach5th #iteachfourth #iteachfifth #iteachthird
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