Last time I did a worksheet with Bart, he got half of them wrong.  He just didn't care about the answers.  So this time, I gave you ten additions and ten multiplications, and I asked him to check his answers before he gives them to me.  For example, last time I asked him to add 16+37 and he got 17.  I told him it was a ridiculous answer.  This time, I showed him that to do 18+18, for example, he should see that his answer should be close to 20+20=40.  And, it should be bigger than 15+15=30.  I always stress to him that in life, it's important to get close to the right answer, but the exact answer is almost never needed.

This time he actually got everything right except for one.  I think he's capable of getting the right answer and he didn't need to check them.  The one he got wrong was 90x9.  He got 1,000.  It wasn't too bad.  But then I asked him what's 9x9 and he said 18.  So, we still have more work to do. :)
Last time when I did a math worksheet with Wanda, she did it all right but I noticed that she was counting.  For example, to figure out what is 8+5, she would count 9,10,11,12,13.  She's very good at it, but it's not the right way.  You have to just remember sums up to twenty.

So today, I gave her an exercise to help her remember sums.  I made flash cards for sums up to ten.  Like, 2+2, 2+3,..., 2+8, 3+3,3+4,...,5+5.  There are 16 of these cards.  I then timed her as she went through all of them.  Her times were:

Round 1: 1:07
Round 2: 0:57
Round 3: 0:45
Round 4: 0:39

She responded really well and didn't complain once.  Next time I will give her sums up to 20.  After that, I want to help her 
Multiplication 05/15/2011
Bart is learning multiplication.  He knows most of the facts below 10.  But I think it's boring to memorize a bunch of facts.  So  I think of practical problems for him to solve with multiplication.  In this worksheet, we work with time, distance, and speed.

In the first problem, I ask him to calculate the speed of an airplane that travels from Philadelphia to California in six hours:
I broke it down into:
1. how many miles traveled in the first three hours?  He got 1500 right away
2. how many in the first hour?  I forgot if he got 500 or if I had to give hints.

Then, I asked about the speed of a car that goes from here to my parents' house.  He knows it takes 30 minutes, and I tell him it's 15 miles.
I had to lead him a little.  But, he didn't cry.  In fact, I thought he did very well and give him a lot of encouragement.  I think that was a good call because a few days later, he asked to do more worksheets with distance and speed.
Scale 05/15/2011
The kids can do single and double digit additions and some multiplication.  But they get timid when the numbers get bigger.  So, Wanda knows that 13+2=15.  But she has trouble with 130+20.  So in this exercise I tried to help her realize that tens is just like ones.
And she did very well!  Even 400+400 and 4000+4000.  And, she didn't cry.  When you break things up into little chunks, everything becomes easier.
First Post! 05/11/2011
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