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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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    • Teaching Vocabulary in Context: My Journey from Mistakes to Mastery
    • Integrating Primary Sources into Language Arts Lessons
    • Teaching Grammar that Supports the Science of Reading
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    Ideas By Jivey

    2 days ago

    Ideas By Jivey
    Did someone say 50% off resources?! πŸ’ƒToday is DAY 3 of our Sweet Savings event, which means you can get 42 resources for half price!! πŸŽ‰You can get my grades 3-5 Mentor Text Club Bundles 50% off the list price today ONLY! 🎊Yes!! 30 WEEKS of done-for-you ELA plans for half the price! πŸ™€There are THREE bundles - choose one or get them all! For each mentor text unit, you'll have:πŸ’œa week of plans that integrate multiple skills and subjectsπŸ’œdetailed explicit lessons, including teacher samplesπŸ’œa week-at-a-glance planπŸ’œdigitally converted activities in Google Slides and Forms, when applicableπŸ’œmentor sentence lessonπŸ’œreading and writing lessonsπŸ’œintegration of other subjects (science, social studies, or social/emotional skills)πŸ’œprintables for skill practiceπŸ’œat least one other text (poem, article, paired passages) to integrate with your lessons πŸ’œshort assessmentsShop each day’s deals until tomorrow by visiting the link below. πŸ‘‡ ⭐ Download 14 FREE Resources!⭐ Enter to win our SWEET Giveaway!Find all the details here: bit.ly/sweetsavingsweek ... See MoreSee Less

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    Ideas By Jivey

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    Ideas By Jivey
    Today is DAY 2 of our Sweet Savings event, which means $2 DEALS! ✌️I've got three sets of leveled paired texts with multiple-choice and constructed response questions marked down to just $2 each today. 😍PLUS, you can grab a fiction AND nonfiction set of differentiated reading assessments for key ideas and details standards for only $2 each! πŸ€—If you missed out on yesterday’s deals, they are still discounted! πŸŽ‰β­ Plus, you can still download all 14 FREE resources!⭐ AND enter to win our SWEET Giveaway!Find all the details here: bit.ly/sweetsavingsweek🍬 Know a teacher friend who would LOVE these free resources and deals? Tag a friend or share this post with them! ... See MoreSee Less

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    Ideas By Jivey

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    Ideas By Jivey
    πŸ€—Have you heard?!The Sweet Savings Event kicked off today, and Day 1 is DOLLAR DEALS. πŸ’ΈGrab 70 quality resources for only $1 today! 😍You can get my parts of speech posters using multi-sensory grammar color codes, PLUS four interactive video lessons πŸŽ₯ to teach types of sentences and help students understand how to carry grammar skills over into writing πŸ“ for just $1 each! What else do we have going on today?⭐ Download 14 FREE Resources!⭐ Enter to win our SWEET Giveaway!Find all the details here: bit.ly/sweetsavingsweek ... See MoreSee Less

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    🍭I am so excited to team up with some of my tea 🍭I am so excited to team up with some of my teacher friends to throw a SWEET giveaway just for YOU! 🍬 YAY!

Enter to win today! The lucky winner will be announced on Thursday, so don’t delay. 

⭐ Enter here: bit.ly/sweetsavingsweek

How to Enter the Giveaway:
1️⃣ Show this post some love and comment with your favorite sweet treat.

2️⃣ T-A-G a teacher friend who would also like to enter for a chance to win.

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#ideasbyjivey #upperelementary #upperelementaryteacher #teacherspayteachers #teachersfollowteachers #iteach3rd #iteach4th #iteach5th #iteach345 #teachersofinstagram
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https://members.ideasbyjivey.com/free-trial
    Have you ever wondered what a book looks like afte Have you ever wondered what a book looks like after I finish using it to create a #mentorsentence unit? πŸ™ˆ I just completed the six-week mini-unit for A Rover's Story, which is this year's Global Read Aloud for Middle Grades/Upper Elementary! #GRA23

Will you be participating with your class? It all kicks off on October 2nd. πŸ€“

In this book, Resilience, or Res for short, is a Mars rover who is determined to live up to his name. πŸ€– He was not built to have human emotions. But as he learns new things from the NASA scientists who assemble him, he begins to develop humanlike feelings. I never thought I could feel so much for a robot. I might have even shed a few tears at the end...! πŸ˜… #GRARover

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    πŸ““Do your students struggle to understand a voca πŸ““Do your students struggle to understand a vocabulary word that has multiple meanings? 

This is why teaching vocabulary in context is SO important! πŸ€“

If your students are just "looking up a list," how many of your students pick the first definition and write it down, then move on to the next word? πŸ“

Or better yet… raise your hand if you have one of *those* students who finds the SHORTEST definition of the word to write! πŸ™‹β€β™€οΈ

πŸ’‘Come check out the post at the link in my profile (@ideasbyjivey) where I share some research-based tips for teaching vocabulary. 

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https://www.ideasbyjivey.com/vocabulary-in-context-journey/
    For today's #MentorTextMonday, I'm sharing an oldi For today's #MentorTextMonday, I'm sharing an oldie but a goodie: When Lightning Comes in a Jar. This is one of my FAVORITE Patricia Polacco books! 

I'd love for you to check out this blog post where I shared how I tie it all together with ONE #mentortext, and pick up the #freelessons I used to demonstrate these ideas for you! Link in profile @ideasbyjivey

#ideasbyjivey #mentorsentences #iteach345 #picturebooks #upperelementary #upperelementaryteachers #upperelementaryreading #iteach3rd #iteach4th #iteach5th
https://www.ideasbyjivey.com/tying-it-all-together-with-mentor-texts/
    Listen up, friends! πŸ“£ If you're not using #ment Listen up, friends! πŸ“£ If you're not using #mentorsentences in your classroom, you're missing out! 

This blog post breaks down how they support the #scienceofreading research, and ways to get started. πŸ“– Read at the link in my profile: @ideasbyjivey

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https://www.ideasbyjivey.com/teaching-grammar-supports-science-of-reading/
    ⏳Ever wonder just HOW to fit it all in? I laid o ⏳Ever wonder just HOW to fit it all in? I laid out some suggestions based on how much time you have for ELA in the blog post at the link in my profile: @ideasbyjivey ⏰ 

#ideasbyjivey #mentorsentences #mentortexts #teachingreading #iteachreading #iteachwriting #iteachgrammar #teacherlife #teacherproblems 

https://www.ideasbyjivey.com/language-arts-schedule/
    πŸ“₯ Ready to try out a week of the All-Access Men πŸ“₯ Ready to try out a week of the All-Access Mentor Text Membership for free? 😍 Head to the link in my profile! @ideasbyjivey 

#ideasbyjivey #mentortexts #teachermembership #mentorsentences #teacherslovebooks #picturebooks #iteachtoo 
https://members.ideasbyjivey.com/free-trial
    πŸ“ Let's talk vocab. If you're still using that πŸ“ Let's talk vocab. If you're still using that old workbook, it's time for a change. This blog post is all about my journey to teaching vocabulary IN CONTEXT!

πŸ€“ Come check out my research-based suggestions for contextual vocabulary at the link in my profile πŸ‘‰ @ideasbyjivey 

#teachingvocabulary #mentortexts #iteachtoo #readingteacher #vocabularylearning #scienceofreading

https://www.ideasbyjivey.com/vocabulary-in-context-journey/
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