Wednesday, September 24, 2014

Addition and Subtraction

Addition and Subtraction are important LIFE skills. 
You have to know how to do both. 

       Remember your addition and subtraction facts should be SOLID! That means that you should know every addition and subtraction fact in a snap of a finger! Practice these at home EVERY night (including Friday, Saturday, and Sunday) for 5 minutes. I guarantee you will get faster with time.

      Let's remember our fast strategies:

No paper required!

1) Counting On (use for addition)

If you are doing 4 + 7....
       
       -First think of the largest number: 7 and count up 4 more
                 7..... 8, 9, 10, 11
       4 + 7 = 11

2) Counting Up (use for subtraction)

If you are doing 14 - 8....

       -First think of the smaller number: 8 and count up to 14
                 8.... 9, 10, 11, 12, 13, 14
                           You counted up 6 more
      14 - 8 = 6

When working a paper pencil problem. 

3) Regrouping: Use for both addition and subtraction

Addition Regrouping occurs when you have numbers like 28 + 17. If I add 8 ones and 7 ones, we will get 15 ones. But we do not write 15 ones, we regroup the new 10 to the tens place and keep the 5 ones. Students you can draw this out with your place value blocks.

Subtraction Regrouping
In the problem below, we were taking 32 - 17. After lining up our place values we see that there are only 2 ones. We can not take away 7 ones from 2 ones. So we need to REGROUP the tens. We had three tens, and after taking away one ten and adding it to the ones, we now twelve ones. Now you can count up from 7 to 12 and find that there are only 5 ones left.

Here is our anchor chart from class:


Rounding Numbers

Alright boys and girls. Here is the work we did with Rounding. 

Remember the steps!

1. Find the Benchmark Numbers

        ______ 46 ______

The Benchmark Numbers for 46 are 40 and 50.

        __40__ 46 __50__

2. Now imagine the number line and decide "Is 46 closer to 40 or 50?" Boom!! 46 is only 4 away from 50 and it is 6 away from 40!

       __40__ 46 __50__

You can now do the same thing with a hundred number. Take a look:

      __300__ 324 __400__

Moving on!

You have mastered rounding to the tens and hundreds...
so now we are ready for the challenging problems.

Let's round to the TENS with a hundreds number.

1. Start the same way. Find the Benchmark Numbers. 

__270__ 274 __280__                         

2. Same thing again, "Which Benchmark Number is our number closest to?" 
A hint is to ask "Is 74 closer to 70 or 80?"
Well 74 is only 4 away from 70 and 6 away from 80. 

__270__ 274 __280__                         

You can now do the same thing rounding to the HUNDREDS with a thousands number!

__3,200__ 3,289 __3,300__


Now let's apply what we know to addition and subtraction problems

Check out our anchor charts for Estimation using addition and subtraction! 
1. Round first
2. Then solve
3. Are the answers close?