Educational Strategies

3 Simple Steps For Adding & Subtracting Large Numbers

These lessons are designed to offer math help online for children who struggle with addition & subtraction.  According to educational standards, by the time children leave second grade they should be able to add and subtract three digit numbers fluently.  In order to do this, children must know all their addition and subtraction facts from 1 to 20 automatically.  In other words, they should automatically know the following without having to think about the answer:

  • 7+9 = 16
  • 17-9 = 8
  • 6+8 = 15
  • 19-5 = 14
  • 12+7 =19

I have another post entitled, Math help websites for Parents, that demonstrates how to develop this skill.

But what if you  do not know all your facts?

I teach 6th grade.  Every year, I get a handful of students who don’t know their basic number sense for addition and subtraction. Other students get confused when borrowing during subtraction.  Because adding and subtracting is an essential building block for all mathematics, I needed to create a strategy that my students could use until they develop an understanding of basic number sense for addition and subtraction.  That is why I wrote this post entitled, Math Help Online: 3 Simple Steps For Adding & Subtracting Large Numbers

This Math Help Website is Designed so that ANYONE can succeed when Adding or Subtracting Large Numbers!
All Problems have Math Video Tutorials!
Cyclical Learning Approach

I have incorporated a cyclical learning approach with math tutorial videos.  Each educational concept is introduced, then reinforced, then revisited again and again to ensure success.  The 1st step is taught in Lesson 1.  It focuses developing strategies for adding and subtracting 3-digit numbers.  Once proficient, your child can move to the 2nd step, which is taught in Lesson 2.  This step focuses on strengthening the strategies taught in lesson 1, and incorporating those strategies into adding and subtracting 4-digit numbers.  The final step is taught in Lesson 3.  This lesson solidifies these strategies while adding and subtracting numbers with decimals.

How to use this Lesson:
  1. Grab a piece of lined paper, and complete each problem.
  2. Correct your work, while watching the math tutorial videos.
  3. After correcting your work, take your paper to your parent or teacher for a final check, and to make sure you understand the concepts taught within this article.
I have scaffold these problems:
  1. The first problem is a WORK WITH ME.
    Read the problem then gather all your materials, so you con do the problem with me.
    Play the math tutorial video and pause it when told.
    Copy the problem down on your own paper, and solve it with me.
    When the math tutorial video is complete, review the problem with your parent or your teacher.
  2. All the following problems are ON YOUR OWN.
    Solve the problems just as you did in the first two.
    Once you have completed the problem, watch the math tutorial video.
    Keep your paper with you while you watch the video.
    If you made a mistake, pause the math tutorial video and fix your mistake.
    That’s the fastest way to learn!
    Don’t forget to take your paper to your parent or your teacher for a final review.

Book 1

I also sell these lessons without Advertisements on a website called, TeachersPayTeachers.  Each lesson is broken into a separate book.  The series is entitled, Trouble A Com’n.  If you’re interested in purchasing the books with NO Advertising, I have a link below this first problem.

Problem Number  1  Work with Me
Lucy Longneck

Lucy Longneck loves eating acacia leaves.  She ate 749 leaves on Thursday and another 652 leaves on Friday.  How many leaves did Lucy Longneck eat in all?

Lucy Longneck is headed home after a long day of chewing leaves.  She is 524 giraffe steps away from her home.  If she has already walked 365 steps, how many more steps must Lucy Longneck walk before she gets home?

Now – Gather your materials and press PLAY.  We’ll solve this problem together while you watch the math tutorial video below.

If you found this first problem helpful –  please read on!
I have more problems and video after this brief message.

I’ve created this lesson as well as my game, TeachersDungeon, because I want to give back to the profession that I love so very much.  If you would like to become a patron and help support this website, you can do so in purchasing one of my educational books.

If you are a teacher or the parent of a child that could benefit from one of my  eBooks please visit my store at TeachersPayTeacher.   I use the name, McCoy’s Math Link at Teachers Pay Teachers.

Problem Number  2  On Your Own
Timid Timmy

Timid Timmy is afraid of dogs, cats, hawks, and even other squirrels.  There are a total of 723 dogs, cats, and hawks in his neighborhood.  If there are 533 dogs and cats, how many hawks are in Timid Timmy’s neighborhood?

Last week, Timid Timmy escaped from 369 attacks.  This week he escaped from another 288 attacks.  How many times did Timid Timmy have to run for his life in the past two weeks?

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Problem Number  3  On Your Own
Enzo the Enforcer

Enzo the Enforcer rules his dominion.  If anyone gets out of line, Enzo growls, snarls, and even bites.  Enzo has bitten 942 animals that were bullying other critters, and another 689 that were caught stealing food.  How many animals in all has Enzo the Enforcer bitten?

Enzo the Enforcer has no tolerance for bullies.  As a matter of fact, he has almost completely stopped all the bullying in his territory.  When Enzo was little, there were 648 bullies in his territory.  Enzo the Enforcer convinced 579 bullies to change their wicked ways.  How many bullies are left in Enzo’s territory?

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Each of my books includes 10 word problems like the three above.  The books also include another 16 Drill & Kill problems like the 4 in challenge 11.

Drill & Kill

This is where we Drill until we Kill all our mistakes!

I call this section of the book, Drill & Kill, because we will drill this concept until we are perfect, and we kill any mistakes!

The following problems can all be solved with the same strategies we used to solve the first ten problems.

  1. Solve all four problems on each page.
  2. Watch the math tutorial video & correct your work.
  3. Review your work with your parent or teacher.

If you get all 4 problems correct, your parent or teacher may tell you that you’re ready to move to the next book/article within this series.
Good Luck!

Drill & Kill
Challenge – 11
Challenge 1
658 – 179
Chalenge 2
436 + 957
Challenge 3
462 – 283
Challenge 4
963 + 464
 
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

 

Please read on!
The 2nd Lesson in this series will begin after this brief message.
Each of my books includes 10 word problems and another 16 Drill & Kill problems.  Each and every problem is linked to a video tutorial like the ones in this post.  If you would like to purchase this book, click the Photo.

Book 2

Problem Number 1  Work with Me
Jack Stinger

Jack Stinger is an angry yellowjacket.  He is always on the hunt for an unsuspecting person to sting.  Last week Jack stung 3,487 people.  This week, he stung another 5,896 people.  How many people has Jack Stinger, the Angry Yellowjacket, stung in the past two weeks?

Jack Stinger has a goal.  He wants to be the first yellowjacket to sting 6,500 people in just one week.  So far, Jack Stinger has stung 5,896 people.  He has just six hours left before the end of the week.  How many more people must Jack sting in order to reach his goal?

Now – Gather your materials and press PLAY.  We’ll solve this problem together while you watch the math tutorial video below.

Problem Number  2  On Your Own
Grizzly Greg the Honey Lov’n Bear

Grizzly Greg the Honey Lov’n Bear is always on the hunt for that tasty treat.  He is more than willing to get stung a couple times, so long as he gets his favorite food.  Yesterday, Greg stole 7,482 ounces of honey.  He has already eaten 4,403 ounces.  How much more honey does Grizzly Greg have to eat?

Grizzly Greg loves his honey, but he does not love getting stung.  Last month, Greg got stung 3,848 times.  This month, he was stung another 2,872 times.  How many times has Grizzly Greg the honey lov’n bear been stung in the past two months?

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Problem Number  3  On Your Own
Pelican Pete

Pelican Pete lives on a golf course.  He waits for the golfers to hit the ball, then he tries to catch it in his outstretched beak.  742 golfers hit 8,356 balls the other day.  Pelican Pete caught 3,824 balls.  How many did he miss?

Pelican Pete is loved by all the golfers, even though he sometimes wrecks their game.  At the end of eighteen holes, the golfers always give Pelican Pete a bit of their lunch.  Pelican Pete ate 3,749 ounces of shrimp salad, and another 2,865 ounces of salmon delight.  How much food has Pelican Pete eaten?

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Each of my books includes 10 word problems like the three above.  The books also include another 16 Drill & Kill problems like the 4 in challenge 11.

Drill & Kill

This is where we Drill until we Kill all our mistakes!

I call this section of the book, Drill & Kill, because we will drill this concept until we are perfect, and we kill any mistakes!

The following problems can all be solved with the same strategies we used to solve the first ten problems.

  1. Solve all four problems on each page.
  2. Watch the math tutorial video & correct your work.
  3. Review your work with your parent or teacher.

If you get all 4 problems correct, your parent or teacher may tell you that you’re ready to move to the next book/article within this series.
Good Luck!

Drill & Kill
Challenge – 11

 

Challenge 1
6,658 – 3,779
Chalenge 2
3,958 + 7,579
Challenge 3
9,472 – 1,475
Challenge 4
4,883 + 2,337
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
Please read on!
The 3rd Lesson in this series will begin after this brief message.
Each of my books includes 10 word problems and another 16 Drill & Kill problems.  Each and every problem is linked to a video tutorial like the ones in this post.  If you would like to purchase this book, click the Photo.

Book 3

Problem Number  1  Work with Me
Elyssa Elephant

Elyssa Elephant is the youngest member of her herd.  She trots along side her mother as the elephants travel across the African Savanna.  Sometimes Elyssa can walk, but other times she has to run in order to keep up with the grown up elephants.  Last month, Elyssa walked 8.87 miles and ran 8.6 miles.  Did Elyssa walk further or did she run further last month?  What was the difference?

How far did Elyssa Elephant travel in all last month?

Now – Gather your materials and press PLAY.  We’ll solve this problem together while you watch the math tutorial video below.

Problem Number  2  On Your Own
Silvia the Silk Weaving Spider

Silvia the Silk Weaving Spider makes a new web ever day.  She has to because bees, mosquitoes, and other bugs fly into her webs and wreck them.  Yesterday, Silvia created a web that was made up of 25.8 yards of silk. Today, she created a new web that was made up of 37.07 yards of silk.  How much silk did Silvia weave over the past two days?

Silvia is curious.  She wants to know how much bigger today’s web is than yesterday’s web.  How many more yards of silk was used to create today’s web?

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Problem Number  3  On Your Own
Valentina Veterinarian

Valentina Veterinarian is the youngest animal doctor in the world.  She has saved squirrels, rabbits, horses, and even a zebra or two.  Today, Valentina is giving medicine to this squirrel.  The squirrel takes 3.275 milligrams of medicine in the morning and another 4.018 milligrams at night.  How much medicine does Valentina Veterinarian give this squirrel in each day?

Dose Valentina Veterinarian give more medicine to this squirrel in the morning or at night?  How much more?

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

 

Each of my books includes 10 word problems like the three above.  The books also include another 16 Drill & Kill problems like the 4 in challenge 11.

Drill & Kill

This is where we Drill until we Kill all our mistakes!

I call this section of the book, Drill & Kill, because we will drill this concept until we are perfect, and we kill any mistakes!

The following problems can all be solved with the same strategies we used to solve the first ten problems.

  1. Solve all four problems on each page.
  2. Watch the math tutorial video & correct your work.
  3. Review your work with your parent or teacher.

If you get all 4 problems correct, your parent or teacher may tell you that you’re ready to move to the next book/article within this series.
Good Luck!

Drill & Kill
Challenge – 11
Challenge 1
6.231 – 3.9
Chalenge 2
7.456 + 3.07
Challenge 3
4.6 – 0.945
Challenge 4
0.671 + 32.19
 
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!
Please read on!

Each of my books includes 10 word problems and another 16 Drill & Kill problems.  Each and every problem is linked to a video tutorial like the ones in this post.  If you would like to purchase this book, click the Photo.

Need Help with Multiplication or Division?

I have a series on multiplication and another series on division that are specifically designed for children who do not have all of their multiplication facts memorized.   These series are designed in a similar manner to this book, where each and every problem is linked to a video tutorial.

Click here to see my series on Multiplication.

Click her to see my series on Division.

How about getting a concrete understanding of fractions?

I have a series on illustrating fractions that is specifically designed to build a concrete understanding of this complex concept.  Children who understand fractions at a deeper level are more likely to have a successful educational career .   The series is designed in a similar manner to this book, where each and every problem is linked to a video tutorial.  Here is a link to my series on Fractions.

Thank you for reading this article!

Want More Tutorials?

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.

One Last Thing

If you like this post and found it helpful, please leave a brief comment.   As a teacher, perhaps the greatest reward I receive is from parents, children, and fellow teachers who use my strategies of education and succeed.

My mission in life and as an educator is to make people feel empowered, self-assured, and happy about who they are in this world!  We all have gifts to bestow upon our world.  Go forth and do so, and know that you are awesome!

Have a fantastic day – Brian McCoy

5 Comments

  1. Multiplying with decimals is really easy, thanks to these books. I had not passed a multiplication exam, but these books really help me pass, and now I am one of the fastest learners in my grade.

  2. I think the dot method is helpful because if your having trouble adding or subtracting, you can just use the dot method to figure it out. The answer will be more clear, you aren’t just seeing it but counting outloud.

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