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Area Division - The ultimate Bundle

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McCoy's Math Link
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Grade Levels
3rd - 6th
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McCoy's Math Link
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Products in this Bundle (7)

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    Description

    Bundle Description

    This BUNDLE contains all of my books on Area Division.

    You get the entire series on division at 30% off the price of purchasing each book separately.

    I use this series for my Math Ninja class. Students in this class are below grade level standards and need a basic understanding of division, before I can teach them how to divide with decimals. After a quick assessment, I have each student start on the appropriate book for their ability level. Once they understand the basic concepts, they are able to utilize my cyclical approach to learning division and obtain grade level equivalency. I have had great success using this series within my Math Ninja class.

    Area Division: Designed so that ANYONE can succeed at long division!

    After years of watching my 6th graders struggle with the concepts of long division, I decided to create my own method of dividing large numbers. I needed to create a method that was accessible to all children and that made the concepts of division clear and comprehendible. Furthermore, I needed a method that could be used for basic problems like 492 ÷ 9, but also higher level problems like 78,369 ÷ 459, and even for dividing decimals like 47.92 ÷ 0.48. Finally, I wanted to create a method that was close enough to long division that students could convert back to long division once they mastered this new method.

    I developed Area Division by incorporating skip counting, (I refer to it as “counting by the numbers” in my videos), and an area box for the division. By incorporating counting by the numbers, even students who do not know their multiplication facts can successfully divide large numbers.

    · Each book includes over 90 minutes of video tutorials!

    WHEN CHILDREN DO NOT KNOW THEIR MULTIPLICATION FACTS…

    THEY NEED A STRATEGY!

    My goal is for children is to memorize all their multiplication facts. However, until they know all their facts, they need a strategy. Counting by the numbers is the easiest strategy to learn. Therefore, I have added counting by the numbers to the end of each and every video. Children who do not know all their multiplication facts should watch and count with me at the end of each of these videos until they can count by all the numbers on their own. Repetition of this strategy will help in all areas of math that require multiplication. Once a child knows all their multiplication facts, they can stop the videos after the problem is solved and before Counting by the Numbers begins.

    There are seven levels in this series on Area Division.  I have incorporated a cyclical learning approach, where each educational concept is first introduced, then reinforced, then revisited again and again. Each subsequent level rises to the next level of difficulty.

    To see a good description of each book included, make sure to check out these links:

    Check out these books included:

    Area Division - Book 1 (ie: 524 ÷ 8 = 65 R 4)

    Area Division - Book 2 (ie: 4,224 ÷ 8 = 528)

    Area Division - Book 3 (ie: 738 ÷ 82 = 9)

    Area Division - Book 4 (ie: 2,952 ÷ 82 = 36)

    Area Division - Book 5 (ie: 70,864 ÷ 824 = 86)

    Area Division with Decimals - Book 6 (ie: 533 ÷ 82 = 6.5)

    Area Division with Decimals - Book 7 (ie: 35 ÷ 0.8 = 43.75)

    Area Division is designed to scaffold concepts.

    First, Students are introduced to a concept with a “WATCH ME” demonstrational video. They should get a 12 x18 inch construction paper and create a portfolio where they will keep all their papers. I have my students write their name in the upper right hand corner and copy the “Watch Me” problem along with all the “Counting by the Numbers” on the front of their portfolio.

    Next, students continue developing their skills by working side-by-side with the author, while they watch the “WORK WITH ME” video.

    Finally, students perfect their skills by completing a number of problems on their own. After completing each problem, students watch the “ON YOUR OWN” videos. In the videos, they are reminded, “Do NOT worry if you make a mistake. Simply pause the video, and fix your mistake. That is the fastest way to learn.”  These last videos teach independence and a deeper understanding of division.

    This series can be used in the following ways:

    · Intervention for children who have gaps in their learning. I use this series with my 6th graders who still cannot divide. I have had AMAZING results! I start the students on Book 1 and they are able to work independently through the series until they reach grade level proficiency.

    · Differentiation – Because there is a video tutorial that accompanies each and every problem, virtually every child in your class can work independently and at their individual level of understanding.

    · Extensions for children who need to be challenged.

    · Current Content for students that are at grade level, but need a concrete demonstration of what is happening with division.

    · Extra Support for children who can use practice with long division

    · Reinforcement for children who need a bit more time with long division

    How to Use this Book:

    1. Upload the PowerPoint into your Google Classroom.

    2. Have your students access each problem, then correct their own work while watching the video tutorials. Each book within this series links to over 90 minutes of video lessons.

    3. After each problem – have your students bring their paper to you.

    4. Ask the following questions:

    a. Did you use the counting by the numbers?

    b. Did complete the problem and then watch the video to check your work?

    c. Did you get it correct, or did you find your own mistake and fix it?

    d. Did you count along with the counting by the numbers at the end?

    I like to write something like “FANTASTIC!”, You are Awesome!”, or “Superb Work My Friend!” on my students’ papers. I write these comments even if they get the problem wrong. As long as they find their mistake and fix it, they are learning. The positive reinforcement statements do wonders for building students’ academic self-confidence.

    In the first two chapters of each book, I use Real World Problems (although, I must warn you that my word problems are more fun than real). By solving these word problems, your students will learn a deeper and more concrete understanding of fractions. The final chapter is titled “Drill & Kill”. In this chapter students drill the skills taught within the book until the kill any mistakes.

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    Have a great day - Brian McCoy

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    Standards

    to see state-specific standards (only available in the US).
    Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
    Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
    Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
    Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
    Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.

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