3-Steps Make Multiplication Simple!
Step 1 – Write your “Counting by the Numbers” for one of the factors (the numbers you are multiplying). In this case I wrote 8’s.
Step 2 – Draw your Area Box, and break it into 2-parts. Next write your factors as hundreds + tens + one. Now, Use the counting by the numbers as I demonstrate in the video below to multiply these numbers.
Step 3 – Finally, add all your products (the product is the answer for multiplication) together.
The “1.1 Watch Me” video below shows a
detailed explanation of this problem!
There an Easier Way for Children to Learn Multiplication!
For years I have watched children struggle with Multiple Digit Multiplication, which begins with problems like, 736 x 8, then quickly increases in difficulty to problems like, 574 x 763, and finally culminates in multiplying decimals like 5.83 x 7.3. Children who are struggling with Multiple Digit Multiplication are smart kids! However, they have some gaps in their learning when it come to multiplication. Simply repeating the same strategies they were taught when they first started learning multiplication will not work. So, I looked for an easier strategy – one where all children would be successful multiplying large numbers. I decided to incorporate Counting by the Numbers, an Area Box, and Simple Addition.
Designed so that
ANYONE can Succeed at Multiplication!
Hello, my name is Brian McCoy, and I am a credentialed teacher in the state of California. I have been teaching elementary and middle school children for over a quarter of a century. After years of watching children struggle with the algorithm for multiplying large numbers, I set out to develop an easier method. I created Area Multiplication.
Let me be clear, Area Multiplication is NOT for children who can already multiply large numbers like 574 x 763. The process does take a bit more time. However, Area Multiplication is structure in such a way that absolutely anyone can successfully multiply large numbers.
WHEN CHILDREN DO NOT KNOW THEIR MULTIPLICATION FACTS…
THEY NEED A STRATEGY!
By simply writing the “counting by the numbers” above their problem, children who do NOT know their multiplication facts can succeed! For example, with the problem 736 x 8; Children can write “counting by the numbers” for 8’s. The mathematical model at the top of this page shows the results.
My goal is for children is to memorize 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 number 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.
6-Steps to Understanding Area Multiplication
I have incorporated a cyclical learning approach, where each educational concept is first introduced, then reinforced, then revisited again and again – with each subsequent step rising to the next level of competency. There are 6-steps that take children for the basics of multiplication to multiplying decimals by decimals. Because Area Multiplication is slightly different from the conventional multiplication, it is important that you begin the appropriate level of competency. If you fully understand the “Watch Me”, “Work with Me”, and “On Your Own” problems, you are ready for the next step in understanding Area Multiplication. If not – You may want to spend a bit more time on this step.
I introduce each step of Area Multiplication in a similar manner to how I teach my students within my class.
For this first problem, I encourage you to simply watch how the problem is solved. I like to introduce any new concept in this manner, so you can relax and focus on the strategies for solving the problem.
WORK WITH ME
For this second problem, I encourage you to develop your skills by working side-by-side with me. I would like you to watch a bit of the video, then pause it, and copy what I do on your paper.
For the remaining problems, I encourage you to solidify your skills by completing the problems on your own. Once you have completed the problem, watch the video, and correct your mistakes. Over the years, I have found that children make substantial jumps in understanding when they find their own mistakes and then fix them. That is why I have included this form of teaching into this post.
1.1- Watch Me
Ernie the Photo-Hungry Emu
Ernie the Emu loves having his photo taken. As a matter of fact, Ernie gets his photo taken more than any other animal on the African savanna. He sticks his face in front of anyone he see with a smart phone, or a camera. Ernie is 736 days old. He has had his photo take exactly 8 times every day of his live. How many photos have been taken of Ernie the Photo-Hungry Emu?
This is a “Watch Me” Challenge:
Simply watch the video below to see how this problem is solved. Pay close attention. Your next challenge will be very similar to this one.
1.2 – Work with Me
Moni Monarch is a hard working butterfly. She flies from flower to flower sucking up the sweet, sweet nectar. Once she lands on a flower, she slowly beats her wings, while she suck the nectar through her long tongue. It takes 329 beats of her wings, before she can suck all the nectar from the flower. If Moni Monarch gets nectar from 6 flowers, how many times must she flap her wings in order to get all the sweet nectar from these flowers?
This is a Work with Me Video
- Gather the following materials:
- A blank piece of paper
- A pencil
- Play the video below.
- Pause the video when told.
- Copy the problem down on your own paper, and solve it with me.
Pay close attention. Your next challenge will be very similar to this one.
1.3 – On Your Own
Tommy Tortious is on a mission. He wants to be the first tortious to travel all the way from the Mojavi Desert to the Pacific Ocean. He has been trekking for months. Each day he races 4-miles across the state of California. It will take him 673 days to get to the Pacific Ocean. How far will Tommy Tortious have traveled by the time he reachers the coast?
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 link 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!
How did you do?
Were you able to complete all three problems successfully?
If you answered Yes – Then you are ready for the next level.
If you would like more time reviewing this concept, leave a comment below. I am constantly creating new videos and ebooks. If there is a need – I will focus on this concept.
Other Books & Creations by Brian D. McCoy
An Introduction to Area Division
Area Division is structure in such a way that absolutely anyone can successfully divide large numbers. I developed Area Division by incorporating skip counting, and an area box for the division. By incorporating skip counting, even students who do not know their multiplication facts can successfully divide large numbers.
An Easy Way to Understand Fractions
Fractions tend to be very abstract. Because of this, children often have a very hard time understanding what in the world is happening with fractions. In this first book, I will demonstrate how to break a whole into parts. This may seem like a very basic concept, but it is essential to understanding fractions. For a FREE preview of this book, click here, An Easy Way to Understand Fractions.
TeachersDungeon is an Educational Fantasy Game. It is 100% FREE! The game 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.
MY ADVENTURES WITH CHICKENSPIKE – This is a chapter book that is perfect for children in 3rd and 4th grades. My Adventures with ChickenSpike is a Children’s Fantasy Book. The main character is a young boy who is being bullied. He travels to a distant planet and finds his inner strength. By the time he returns home not only is he no longer a victim, he is a hero!
RED – This is a young adult novel that is especially designed for children in 5th and 6th grades. Red is an action packed adventure with two main characters and a number of supporting characters that add humor and drama to this novel. Bruno Vic and Evelyn Rose attend Sir Francis Drake Middle School. Bruno is big, street-wise, and tough, but he also has high morals and undying loyalty to his friends. Evelyn Rose was born rich, but an unfortunate turn of events has landed her in the heart of the Tenderloin District of San Francisco. Bruno, Evelyn, and their friends are desperate to steer clear of the gangs, so the turn to a mysterious man that the gangs seem to fear. His name is Red.
One Last Thing
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