Johnny is in first grade and, according to his teacher, he should already know how to count by fives. And he can do it. . . sort of. He gets the basic idea, but when he skip-counts to 100, he almost always leaves out a few numbers.
When I would suggest that he practice this skill, he used to object with vigor. But today, we found a way to make it fun. I'd go so far as to say that practicing counting by fives at our house is now a rip-roaring good time.
First, let me clarify that Johnny already understood the concept of counting by fives. To make sure that his conceptual understanding was solid, we looked at a number line that I had drawn. I had written in the multiples of ten (i.e. 10, 20, 30, etc.) and drew dots for the numbers ending in five.
Johnny had to think for a moment before he figured out which numbers belonged on the dots. (His first response was that the dot between 10 and 20 would correspond to 11. After he realized that it would actually be 15, we had a fun time figuring out where 11 would actually go.)
But skip-counting by fives is something that I wanted Johnny to be able to do effortlessly and without referring to a number line. He needed practice. And we needed the practice to feel like play.
So we invented . . . Silly Skip-Counting.
Since Johnny's most common mistake was going straight from 35 to 50, our first version of the game was to count by fives to 100 in the usual way, except that when we came to the number 40, we said it in the silliest way possible. The possibilities were endless: Wail 40 like a siren, make a silly face and waggle your fingers, roar it like a lion. And he never forgot to say 40 because he didn't want to miss out on the fun.
Then we were ready for something more challenging. We each took turns giving special instructions for two of the numbers. "You have to scratch like a monkey when you say 35 and run around the room when you say 80." Or, "You have to pretend to blow on a trumpet when you say 15 and wave your arms and cheer when you say 50." (We usually demonstrated for the other person.)
Once, when Johnny's challenge for me involved doing something hilarious (I don't remember what) at the number 40, I purposely skipped that number. This was a number that he had forgotten in the past, so I wanted to see if he would notice the omission. He did indeed notice, laughed delightedly at my subterfuge, and made me go back and count again.
When my husband Owen came home from work, he was enlisted in the game. Johnny and I teamed up together to think of a really good challenge, but Owen one-upped us. When he got to 80, instead of just scratching his armpit as he had been instructed to do, he stood on a chair, touched the ceiling with one hand, and scratched his armpit with the other hand. Hilarity ensued.
. . .
I'm hoping that this approach will help with other sequences that Johnny may need to memorize in the future (e.g. days of the week, our phone number).
Showing posts with label first grade. Show all posts
Showing posts with label first grade. Show all posts
Monday, October 27, 2014
Thursday, October 23, 2014
Place value, fake money, and my first grader.
Johnny hasn't yet learned about decimals, and he's shaky on anything beyond the hundreds place, but even at a basic first grade level, there's plenty to discuss.
In order to reinforce the concept of place value and give Johnny a chance to practice his skills, I got out the fake money and told him that we were going to play "store." Since our goal was to better understand place value (i.e. as opposed to practicing addition or becoming familiar with U.S. currency), I set the $5 and $20 bills aside and used only $1, $10, and $100 bills. Those bills correspond with the three place values that Johnny is most familiar with: ones, tens, hundreds.
I drew a simple one-sheet catalog of sorts, with crude, hand-drawn pictures of things to buy.
I handed Johnny the three piles of money and told him that he could buy anything from the catalog. (Or rather, he could pretend to buy whatever he wanted.)
Since I prepared the activity in haste and didn't have any props other than the paper and the money, I wasn't sure how enthusiastic Johnny would be about my rather minimalist "store." But he was thrilled! He immediately declared that he wanted to buy everything on the list.
One at a time, he paid for every item. It was fun to see his mind work, and it was gratifying to see him really think about place value. For example, since 14 means 1 ten and 4 ones, he realized that the best way to pay me was using 1 ten dollar bill and 4 one dollar bills. We talked about the possibility of paying with all one dollar bills instead, but Johnny decided against it.
After he paid me $543 dollars for one item, we had a great discussion that led to a stronger appreciation for zero as a placeholder.
He had given me three piles of money: 5 hundred dollar bills, 4 ten dollar bills, and 3 one dollar bills.
| This is $543 in fake money. |
I took away the pile of ten dollar bills and asked him how much money remained.
| This is $503 dollars. |
He told me that there were now 5 hundreds and 3 ones. I asked him how he would write that number. He immediately said, "I'd write five, three." Then there was a pause, followed by an important insight. "Oh, that wouldn't work. That would be 53!" He thought for a minute and wrote down 503. The value of zero as a placeholder was brought home to him.
This activity is flexible, and the conversation can go in all sorts of interesting directions, depending on what the child is ready for.
At some point, I quickly jotted down a very short (three items), off-the-cuff fast food menu, thinking that smaller numbers might make it easier to talk about addition, making change, or regrouping.
Johnny started at the top of the list and wanted to buy the (admittedly very expensive) hamburger. I tried to steer the discussion in the direction of making change and asked him what would happen if he paid me with a ten dollar bill. His first response was that he would buy the $2 drink at the same time, so that $10 would be just enough.
I pressed the issue a bit, asking him what he would do if he only wanted the hamburger, and we had fun arriving at the solution together: I should pay him back $2.
Throughout the whole activity, Johnny was eager and enthusiastic. About a week later, we did a shorter version of the same thing, and he was just as happy to pick it up again.
We have not yet run out of new things to discuss. Next time, I'd like to explore addition with regrouping. If he wants to pay for two items at the same time (e.g. a $9 book and a $7 toy car), what's the best way to do that? Should he pay with all ones, or is there a better way?
And next time, I'll probably take a turn being the customer and while he runs the store. He'd love to put together a list of things to sell to me and decide on prices.
Tuesday, October 7, 2014
Having fun spelling words with Bananagrams tiles.
My first grader has had only one list of spelling words to learn so far this year. They seemed pretty easy to me: I, we, here, like, play, school, little. But spelling is not something that comes naturally to Johnny, and he resented having to practice his words repeatedly.
Until we got out our Bananagrams set.

Any set of letter tiles will do, but Bananagrams tiles work well because there are so many of them that you're less likely to run out of the more frequently used letters.
Since Johnny was having a particularly hard time with the words play and little, I wanted to target those without inducing boredom and frustration.
First, I challenged Johnny to unscramble the word play.
Done.
Once Johnny could unscramble those letters with ease, I added distractor letters. I tried to use letters that might actually fool him into thinking they're part of the word. I started with one extra letter, then worked up to something like this:
We did the same thing for little.
Notice that the distractor letters below give Johnny plausible ways to misspell the word. Littil, lettle and littlle almost look right. (You could, of course, throw in something obviously out of place, like a Z or a K just for fun.)
This repetitive practice felt like play — no, it was play — and I was surprised at how well it worked. Johnny loved being challenged to unscramble the letters faster, or with even more distractor letters. He loved boasting that spelling was becoming "too easy." And when I brought out the bananagrams several weeks later for a spelling review, he was excited.
When we got tired of unscrambling letters, we also liked doing this:
But we liked this even more:
Trying to fit as many of his spelling words together as possible, Scrabble style, turned out to be a big hit. Johnny was fascinated with connecting the words, and I think that I may have a future Scrabble player in the family.
Until we got out our Bananagrams set.
Any set of letter tiles will do, but Bananagrams tiles work well because there are so many of them that you're less likely to run out of the more frequently used letters.
Since Johnny was having a particularly hard time with the words play and little, I wanted to target those without inducing boredom and frustration.
First, I challenged Johnny to unscramble the word play.
Done.
Once Johnny could unscramble those letters with ease, I added distractor letters. I tried to use letters that might actually fool him into thinking they're part of the word. I started with one extra letter, then worked up to something like this:
We did the same thing for little.
Notice that the distractor letters below give Johnny plausible ways to misspell the word. Littil, lettle and littlle almost look right. (You could, of course, throw in something obviously out of place, like a Z or a K just for fun.)
This repetitive practice felt like play — no, it was play — and I was surprised at how well it worked. Johnny loved being challenged to unscramble the letters faster, or with even more distractor letters. He loved boasting that spelling was becoming "too easy." And when I brought out the bananagrams several weeks later for a spelling review, he was excited.
When we got tired of unscrambling letters, we also liked doing this:
But we liked this even more:
Trying to fit as many of his spelling words together as possible, Scrabble style, turned out to be a big hit. Johnny was fascinated with connecting the words, and I think that I may have a future Scrabble player in the family.
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