1. 4th Grade Spring Intensification 2013-2014

2. Expanded Notation
Expanded notation, also called expanded form is a handy way to write numbers that shows the place value of each digit. It looks like an addition problem.
Try this
Now it’s your turn class.
Write 638, 096 in expanded notation on your slates!
Now let’s review with a fun, short video.

3. Add or subtract with a paper-and-pencil algorithm
An algorithm is a set of rules for solving a math problem.
Check out this cool subtracting video!
You could use the method in the video or your own successful way of adding and subtracting.
Try these problems now on the next slide.

4. Adding and Subtracting algorithms practice
476 1,916 3,566
,838
,222
,477
Now let’s check out a power point presentation on addition and subtraction [PPT]Subtraction - NJCTL

5. Divide. If there is a remainder, write it as a fraction.
Division is splitting into equal parts or groups. It is the result of "fair sharing". Example: there are 12 chocolates, and 3 friends want to share them, how many chocolate will each friend receive?
How about a little joke?
A mathematician asked his little girl what she was doing in school mathematics at the moment.       ”We are doing gozintas at the moment,” she told him.       ”Gozintas? “he asked her. “What in earth are they? ”      ”You know,” she said, “three gozinta six, five gozinta ten.”
Here’s a video from our EverydayMath explaining the partial quotients method for dividing everydaymath.uchicago.edu/teaching-topics/computation/div-part-quot/

6. Dividing Practice 287/6 Answer______ 78/4 Answer______
Put these division problems into the “working way”
…and don’t forget, if there is a remainder, write it as a fraction… now that’s impressive!
Get ready for some division practice homework!

7. Divide Mentally
Enter the appropriate value to answer the question or solve the problems below.
25/5= 64/8= 20/5=
72/9= 56/7= 27/3=
81/9= 32/4= 49/7=
45/9= 16/8= 63/9=

8. Rounding Let’s try rounding practice with the following number:
61,023,575
To the nearest million ______________
To the nearest hundred thousand __________
To the nearest ten thousand _____________
To the nearest thousand ______________
To the nearest hundred ______________
To the nearest ten __________________
Rounding a number is when you take a number and "bump it up" or "bump it down" to a nearby and "cleaner" number. A number can be rounded to any place  ...

9. Rounding Continued… Round these numbers to the nearest hundred
But first the rounding rap!
421,702 ____________________
4,623,383_____________________
41,791,914_____________________
378,259,325_____________________
And let’s watch the skill one more time… watch the video closely

10. Place Value- The value of where the digit is in the number, such as units, tens, hundreds, etc. Example: In 352, the place value of the 5 is "tens”
Do you know the value of the digit 3 in 623,795?
In the numeral 24,813 what does the 4 stand for?
Let’s try…
…and of course, one last time to really get it with this video

11. Subtract mentally or with a paper and pencil algorithm
You probably can do this in your head: But can you do this one when you have to regroup? No problem, you can do this with a paper and pencil algorithm… just remember the strategies from slide number 3 and 4.

12. Writing numbers in words, writing numbers in digits
Can you write twenty million, seventy thousand, eleven using digits?
_____________________________
Can you write, 46, 158, 003 in words?
_______________________________
Do it! Test your friends!

13. Multiply mentally http://www.youtube.com/watch?v=RexXVsSTfJg and
Solve:
2*5= 7*6= 4*4= 8*4=
4*6= 4*3= 2*8= 7*1=
5*9= 1*6= 7*7= 10*5=
8*9= 9*0= 7*3= 0*12=
6*7= 5*3= 6*8= 8*7=

14. Multiply. Use a paper-and-pencil algorithm
The basic idea of multiplication is repeated addition. For example: 5 × 3 = 15 and so does = 15. (5 is added 3 times.) Therefore, 15 is 3 times as many as 5 or 15 is 5 times as many as 3… get it?
This video shows someone doing lattice to solve a multiplication algorithm.

15. Multiply. Use a paper-and-pencil algorithm
This cool site will help with more lattice understanding.
If you are successful using your own method, then do that! But the point is to pick a method you know well!
Now you try it on your slates.
39 * 31 =
52* 63 =
352* 75 =