The day started with a math review - Nick and Adam were there. Nick came because he wanted the extra practice. Adam came because his parents had a parent/teacher meeting that morning, and they told him to go to the review. Nick sat diligently and solved every problem that the teacher presented to the class. Adam on the other hand sat with his head on the table and spun a top - he didn't even pick up a pencil.
The day began with the math test. Because Maura would be out all day correcting the math tests, Amy decided to teach science today and sent me to help cover math. She wanted to work on quiz boards with students so that they would be on time to finish next week. So, I'll take over again on Monday with my continued weather unit.
For the most part, math was hands-off today. Students were able to either finish their math tests or work on math work books. Each student has a list of work book pages that they need to work on - these pages provide enrichment for each unit of study. On student reached a problem that required a skill not yet covered in class. He raised his hand and asked for help. I ended up sitting with him for about 10-15 minutes and had a great exchange. This student will be referred to as Tim.
The skill that Tim was faced with was multiplying numbers with decimal points. I gave him the following problem to work on: 25 * 3.2 =
I explained that this problem multiplies 25 by 3.2. The conversation went as follows:
Em: How would you approach this problem?
Tim: Well, I think I would start by finding three groups of 25, which is...75.
Em: Excellent thinking - I really like how you started by breaking down the problem into familiar parts. Write down 75 to keep track of your progress.
Tim: [Writes down 75.]
Em: How would you translate ".2" into a fraction?
Tim: [pauses, thinks] Oh! 1/5!
Em: Exactly! Now, what is 1/5 of 25?
Tim: [pauses, thinks] Five!
Em: Exactly - now you want to add the 5 to your original 75, so what do you get?
Tim: 80!
Em: Congratulations! You just completed the problem!
Tim: [smiles] I did?!
Em: You sure did! Now, let me show you how you can use Cowboy math (traditional algorithm) when multiplying with decimals.
[Em writes, Tim completes]
25
x3.2
------
40
750
-----
800
Tim: Why did I get 800 when the answer is 80?
Em: Fantastic question! I like how you're thinking critically. Your answers don't match because you aren't quite done yet. We need to make sure to include the decimal point into our product - this corrects the place value.
Tim: How do I know where to put it?
Em: You count the total numbers to the right of the decimal point, then you place the decimal point that many numbers from the left. This shifts the place value of the product back into the right place. Remember that we multiplied by 3 and 2/10, not 30 and 2 ones. We need to reduce the number by one place value.
Tim: Oh, ok - so there is one number after the decimal point, so I'll put it in between the zeroes in the answer.
Em: You got it! So what is the answer?
Tim: [does the math] 80! Oh...I get it! That's cool!
Tim and I repeated this process a number of times together. He was able to do the 4th problem on his own.
After math, I went back and read aloud for about 20 minutes. The story is getting good - Morning Girl and Star Boy are growing up and going through lots of awkward situations. It really tells the universal story of the awkward pre-teen.
I stayed at school until 6:45 working to pull my ppa+ together. This is a time consuming process!
Well, I survived my first take over week and I feel good! YAY!