Post on 22-Feb-2016
description
Partial QuotientsDivision
Algorithm
Quick Slate ReviewSolve the following problems.
……. Ready…………………..Set…………..
………Go!
7x3 = 6x5 = 4x5 = 2x8 = 3x9 =
5x10 =
Check your work 7x3 = 6x5 = 4x5 = 2x8 = 3x9 =
5x10 =
213020162750
Slate Review ofExtended Multiplication Facts
……. Ready…………………..Set…………..
………Go!
7 x 10 = 7 x 100 = 7 x 1,000 = 5 x 10 = 5 x 100 = 5 x 1,000 =
707007,000505005,000
Check your answers!
Let’s Learn the Partial Quotients Algorithm
for Dividing!
Today we are only going to learn how to divide a 3 digit number
by a 1 digit number.
Let’s try 244 ÷ 7
We are going to set it up like this:
2447
To help us, lets make a math box of 7’s multiplication facts!
7 x 1 = 77 x 2 = 147 x 5 = 357 x 10 = 707 x 20 = 1407 x 50 = 3507 x 100 = 700
We are going to look at our entire dividend and our math box to find a product close to our dividend:
2447
I see a math fact that is close to 244 without going over!
7 x 1 = 77 x 2 = 147 x 5 = 357 x 10 = 707 x 20 = 1407 x 50 = 3507 x 100 = 700
-140 20 104
Now, we look at our new dividend of 104 and our math box to find a product close to our dividend:
2447
I see a math fact that is close to 104 without going over!
7 x 1 = 77 x 2 = 147 x 5 = 357 x 10 = 707 x 20 = 1407 x 50 = 3507 x 100 = 700
-140 20 104-70 10
34
Again, we look at our new dividend of 34 and our math box to find a product close to our dividend:
2447
I see a math fact that is close to 34 without going over! However, 14 is quite a bit smaller so we are going to double it (7 x 4 = 28).
7 x 1 = 77 x 2 = 147 x 5 = 357 x 10 = 707 x 20 = 1407 x 50 = 3507 x 100 = 700
-140 20 104-70 1034
-28 46
Once our dividend is smaller than our divisor we stop!
2447-140 20 104-70 1034
-28 46
Now we are ready to add our partial quotients and report our remainder.
We add all three!Then report our quotient with remainder.
34 r 6
Let’s review our steps:1. Set up the problem.
2. Make a math box of simple multiplication facts with the divisor.
4. Write your quotient to the right of the vertical line. Then subtract.
3. Find the math fact with a product closest to the dividend without going over.
7 x 1 = 77 x 2 = 147 x 5 = 357 x 10 = 707 x 20 = 1407 x 50 = 3507 x 100 = 700
2447
-140 20 104
Let’s Model Another One!Set up the problem & make your math box.
3225 5 x 1 = 55 x 2 = 105 x 5 = 255 x 10 = 505 x 20 = 1005 x 50 = 2505 x 100 = 500
Find the product closest to the dividend without going over.
Subtract to find the difference.
-250 5075
Continue until the dividend is smaller than the divisor!
5 x 1 = 55 x 2 = 105 x 5 = 255 x 10 = 505 x 20 = 1005 x 50 = 2505 x 100 = 500
Find the product closest to the dividend without going over.
Subtract to find the difference.
3225-250 50
75-50 10 25-25 5 0
65 r 0
Try this one using your slate. Use the blank worksheet to help guide you.
Follow these steps:
The teacher will be around to assist you.
Help Button ~>
1. Set up the problem.
2. Make a math box of simple multiplication facts with the divisor.
4. Write your quotient to the right of the vertical line. Then subtract.
3. Find the math fact with a product closest to the dividend without going over.
4434
44344 x 1 = 44 x 2 = 84 x 5 = 204 x 10 = 404 x 20 = 804 x 50 = 2004 x 100 = 400
-400 10043
-40 103
110 r 3
Let’s try one more!Use the blank worksheet to help guide you.
Follow these steps:
The teacher will be around to assist you.
Help Button ~>
1. Set up the problem.
2. Make a math box of simple multiplication facts with the divisor.
4. Write your quotient to the right of the vertical line. Then subtract.
3. Find the math fact with a product closest to the dividend without going over.
9828
9828
8 x 1 = 88 x 2 = 168 x 5 = 408 x 10 = 808 x 20 = 1608 x 50 = 4008 x 100 = 800
-800 100182
-160 2022
122 r 6
-16 2 6
Homework* You will complete a worksheet
with 6 division problems which you will use Partial Quotients to solve.
You did a wonderful job today!
We will practice more with partial quotients tomorrow by reviewing
first, and then learning how to divide 3 digit and 4 digit numbers
by a 2 digit number.