Answer Division Problem – An Easy Way for Children to Learn how to Divide!

Area Division

If you are following these 8-video posts in order, then you have already read my explanation about Area Division.  Please skip directly to “On to the Videos” below.

Area Division is an alternative to long division.  I have been teaching elementary and middle school children for over a quarter of a century.  Long division confuses more children than almost any other educational concept.  In order to be successful at long division, children need to not only know their multiplication facts, but they must also write in neat columns.  Beyond that, children need to be able to make educated guesses as to how many times the divisor will fit into the dividend.  When they guess wrong, they have to erase and start over.  The entire process is confusing and quite frustrating for young minds.  In these videos you will see how Area  Division helps the student with these problems.

Break it Down      

Break it Down is a strategy that can be used with Area Division.  However, this is only used when a child does not know their multiplication fact, or if they estimate wrong.   If a child knows their multiplication facts and can estimate correctly there is no need for the Break it Down strategy.
Break it Down works particularly well for students that do not know all their multiplication facts.  The video below shows how children can use the “Break it Down” strategy with any division problem.

 

This is my Second of Eight Video-Posts

  1. An Introduction to Area Division
  2. Dividing a 4-digit number by a 1-digit number (ie: 4,224 ÷ 8)
  3. Dividing a 3-digit number by a 2-digit number (ie: 738 ÷ 82)
  4. Dividing a 4-digit number by a 2-digit number (ie: 2,952 ÷ 82)
  5. Dividing a 5-digit number by a 3-digit number (ie: 70,864 ÷ 824)
  6. Dividing a 3-digit number by a 2-digit number with decimal representation of the remainder (ie: 533 ÷ 82) – Coming Soon
  7. Dividing a 2-digit number by a tenth-place decimal (ie: 325 ÷ 0.8) – Coming Soon
  8. Dividing a decimal by another decimal (ie: 28.8 ÷ 0.8) – Coming Soon

In the summer of 2017, I decided to develop an alternative to long division.  That alternative is called “Area Division”.  I will teach you Area Division a series of video-posts.

Please go in order

The video below is the second progression for learning my latest strategy, Area Division.  In order to fully understand this new strategy, it is important to start with my first video-post (An Introduction to Area Division) and work your way up.  If your child is already in 5th or 6th grade, this may seem too easy.  However, it is important that they understand the basic concept of how this new strategy works before they jump to the problems they’re doing in class.  If they take their time and watch each consecutive video, they will understand this new method of division and will reap the rewards of success!

How to use these Video-Posts

These Video-Posts are designed in a similar manner to how I teach a concept in my class.

First

children will be introduced to a concept with a “WATCH ME” demonstrational video.

Next

children continue developing their skills by working side-by-side with me. They are given a problem and work through that problem, while they watch the “WORK WITH ME” video.

Finally

children perfect their skills by completing problems by themselves. Then they will watch the “ON YOUR OWN” videos.  These last videos encourage the child’s independent work, and then review the problem making sure that the child gains understanding.

On to the Video Lessons

These Video-Posts are designed in a similar manner to how I teach a concept in my class. Therefore, I will be addressing the children directly for the rest of this post.

 

Unicorns to the Rescue

1 – Watch Me

You are traveling through a fantastic world of dwarves, giants, and trolls.  You are high on a bluff that overlooks a great lake when 4,389 trolls attack.  There is a thunderous sound of splashing hooves.  You look across the lake to see 7-Unicorns rushing to your rescue.

How many trolls does each unicorn have to defeat in order for you to escape?

Your Challenge:

This one is easy.  Click on the link below to watch how this problem is solved.  Pay close attention.  Your next challenge will be very similar to this one.

 

 

Lost Polar Bears

2 – Work with Me

You are traveling through Alaska.  There are 6,391 polar bears that are lost in the tundra.  You decide to help them find their way by leading them to the nearest glacier.  However, you can only lead 8 polar bears per trip.

How many trips must you lead before all of the lost polar bears find a new home?

Your Challenge:

This one is a little harder.

Gather the following materials:

  • A blank piece of paper
  • A pencil

Watch and complete this challenge with me.  I will take you through a step-by-step process.  Together, we will solve this problem.

Pay close attention.  Your next challenge will be very similar to this one.

 

 

 

Eyes in a Peacock Muster

3 – On Your Own

You own a Peacock farm.  Your favorite thing to do each morning is to look across the farm and see the muster of peacocks.  Muster is the noun we use to describe a group of peacocks.  As you know, Peacocks have the image of eyes on their tail feathers.  If a predator wants to eat them the peacocks will flash their tail feathers, and the predator will think that there are a lot of animals looking at him, so he will get scared and run away.

With their tail feathers flashing the eyes, you see 4,568 eyes.  If each tail feather has 3 eyes on it, how many tail feathers do your birds have?

Your Challenge:

Gather the following materials:

  • A blank piece of paper
  • A pencil

Solve this problem just as you did in the earlier one.

Don’t worry if you make a mistake – Some of our biggest leaps in learning come when we make a mistake then see what we did wrong and fix it.

  • Once you have completed this challenge, click the video below:
  • Keep your paper with you while you watch the video.
  • If you made a mistake, pause the video and fix your mistake.
  • That’s the fastest way to learn!

 

 

Butterfly Eggs

4 – On Your Own

You are walking through a green field of tall grasses and plants when you spot a number of butterflies.  You notice that there are thousands of butterfly eggs on the plants around you.  As a matter of fact, there are 7,569 butterfly eggs.  If each butterfly lays 9 eggs, how many butterflies laid these eggs?

Your Challenge:

Gather the following materials:

  • A blank piece of paper
  • A pencil

Solve this problem just as you did in the earlier one.

Don’t worry if you make a mistake – Some of our biggest leaps in learning come when we make a mistake then see what we did wrong and fix it.

  • Once you have completed this challenge, click the video below:
  • Keep your paper with you while you watch the video.
  • If you made a mistake, pause the video and fix your mistake.
  • That’s the fastest way to learn!

 

 

Apple Eating Horses

5 – On Your Own

You are a wrangler working on a horse ranch.  You brake horses, so they can be ridden by people of all ages.  Your horses love apples, so you brought 9,568 apples.  If you give the apples to your 6-favorite horses, how many apples will each horse get to eat?

Your Challenge:

Gather the following materials:

  • A blank piece of paper
  • A pencil

Solve this problem just as you did in the earlier one.

Don’t worry if you make a mistake – Some of our biggest leaps in learning come when we make a mistake then see what we did wrong and fix it.

  • Once you have completed this challenge, click the video below:
  • Keep your paper with you while you watch the video.
  • If you made a mistake, pause the video and fix your mistake.
  • That’s the fastest way to learn!

 

 

Your next challenge will be in the Video-Blog-Post, Dividing a 3-digit number by a 2-digit number (ie: 738 ÷ 82).  The concept builds from this one, so it is important that you understand all the videos that you have just worked through.

If you need more help, please leave a comment below.  I am happy to help and will reply as quickly as possible.

Have a great day – Brian McCoy

On another note –

Do you think an educational game could help your child learn?
Read my post entitled: Free Children Learning Games – Are they a waist of time

Novels by Brian McCoy

My Adventures with ChickenSpike – A Children’s Fantasy Book intended for readers in 2nd through 4th grades.

 

 

 

RED – an Action & Adventure Novel intended for readers in Middle School

 

 

 

Want more Tutorials?

I’ve created an Educational Fantasy Game called, TeachersDungeon.  It is set to the Common Core Educational Standards, and is web-based, so it can be played on any device.  Many of the questions are accompanied by tutorials like the ones you saw here.

 

 

2 Comments on “Answer Division Problem – An Easy Way for Children to Learn how to Divide!

  1. I think that Area Division is Awesome!
    I love area division way better than long division, because it is a lot easier to understand.
    I even showed it to my big brother, and he loves it too.

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