Divide and Conquer!

The standard algorithm for division may work for you...

DIVIDE

MULTIPLY

SUBTRACT

BRING DOWN

CHECK!

BUT, I have two new strategies that give you a little more freedom with numbers!

You can choose numbers without having to be so precise with each step of the process. 

Suppose that we want to solve the equation 

324 ÷ 2

First, draw a box with the dividend on the inside and the divisor on the outside.

Then, think in multiples to find a number that is close, but does not go over.
Think 10s, 100s, 1000s!

2 x 100 = 200

Subtract and write the answer in the next box.

Repeat until you are left with a number that is smaller than the divisor.

Let’s take a look at one more example. 

In this example, we will solve 

453 ÷ 4

Draw a box with the dividend on the inside and the divisor on the outside.

Think in multiples to find a number that is close, but does not go over.

Think: 10s, 100s, 1000s!

Think 2s and 5s!

Subtract and write the answer in the next box.

Keep going until you are left with a number that is smaller than the divisor.

When all is said and done, there is a 1 left over...

that's your REMAINDER! 

113 r 1    or     113 1/4

The area model strategy works with 2-digit divisors too! 

Here's an example from page 20 in your Math Activity Book:

Step 1: Think of a few easy X facts for the divisor.

Step 2: Subtract from the dividend an easy multiple of the divisor (e.g. 100x, 10x, 5x, 2x). Record the partial quotient in a column to the right of the problem.

Step 3: Repeat until the dividend has been reduced to zero or the remainder is less than the divisor.

Step 4: Add the partial quotients to find the quotient.

Let’s solve

679 ÷ 5

Click on the images above for a closer look.

Visit Shelly Gray's math website for the videos above and many other helpful math lessons! 

Division is Di-lovely

Hey kids! Let's review how to find quotients of whole numbers with up to 4-digit dividends! Sweet!

Here's a catchy tune to help you remember the steps of long division!

Sometimes it helps to have a good old fashioned multiplication chart handy. You can use it for long division, finding area, fractions, and of course multiplication. I like this one because it's colorful and easy to use. If you think you might want to use one, you can print it out and glue it to the inside of your math notebook cover.

Click here for cool Multiplication Charts from Guru Parents!

If you would like some extra help with division or you're in the mood for a new math game. Click on the links below!

Long Division Lesson

Long Division Step by Step

Double Digit Study Jams

Math Magician Challenge

Remember to e-mail me if you have questions or need help.

Division Area Model Sample Problem

 Okay, I solved problem #4 on page 20 of your Math Activity Book on my webcam. I ZOOMED IN, so you can see my work clearly and hear my thought process.

Hopefully this helps with the area model mystery! 😅

Click on the video for a closer look in full-screen view.

In place of tomorrow's "Multi-digit Division Strategies (C)" quiz, please upload a clear scan or picture of your work on page 20 from your math book. 

This assignment is due Friday and must be uploaded to File Sharing for credit. 

CLICK HERE for instructions on how to upload to File Sharing. 

If you still need help with this concept, I will offer an optional help session on  Thursday at 2:00.

Long Division

Hey kids! In math this week, we are going to learn how to find quotients of whole numbers with up to 4-digit dividends! Sweet!

To get up to speed on division, first watch this...

    Then watch this...


 

Here is a peek at our notebook pages this week. 

Click the photo to enlarge.

To print a copy of the 5.NBT.6 notebook pages for this week, click the image below.

  Let me know if you need help!

One more for the road...

Nice job on division this week. Here is your reward!

First you must divide, then you multiply and sub-tra-act!

2-Digit Divisors

Hey!

We moved on to 2-digit divisors this week and you guys are doing great! Before next week's class, make sure your notebook is up to date and that you've taken the 5.NBT.6b Quick Check! If you were absent on Tuesday, k-mail your quick check to me. The printable copy was k-mailed to you.

Speaking of Quick Checks, I thought I'd show you a couple samples of what a "4 point" quiz looks like. Both are easy to read and complete. Click on the images below to enlarge.

Even if you get the answers wrong, you can get points for trying your best and remembering to write your name! If you don't write you name on your slide, I may think you were absent. Eek!

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Here is a look at my notebook pages from Tuesday. If you click on the picture a bigger version will pop up. Feel free to copy down the information, if needed!

Sometimes it helps to have a good old fashioned multiplication table handy. You can use it for long division, finding area, fractions, and of course multiplication. I like this one because it's colorful and easy to use. If you think you might want to use one, you can print it out and glue it to the inside of your math notebook cover.

Click here for cool Multiplication Charts from Guru Parents!

If you would like some extra help with division or you're in the mood for a new math game. Click on the links below!

Long Division Lesson

Long Division Step by Step

Double Digit Study Jams

Math Magician Challenge

Remember to k-mail me if you have questions or need help.

Next up... Geometry!