I'm linking up for another week with the Tuesday Tried It with
Fourth Grade Flipper! This week it was a lesson plan idea for using manipulatives to connect what students already know about whole number multiplication with fraction multiplication.
My math lessons have reached a peak for the year. Up until about a month ago I had students in skill based groups. I teach 3rd through 5th grade in my class of 8 kiddies but as of the beginning of the year student skill sets ranged from kindergarten to 4th grade ability. I had 3rd, 4th and 5th graders on Kindergarten and 1st grade standards, and combinations of other students working on 2nd through 4th grade work.
It was a mad dash to fill in the gaps and build understanding of numbers, place value and operations. With such a range of abilities across the grade levels I still knew that come April the state tests would assess each of my students on their grade level material.
At this point in the school year my groups have flexed and bent to a point where students are all working (successfully!!) in their grade level groups doing grade level work. 3rd graders are working on 3rd grade standards, 4th graders are multiplying two digit numbers by 2 digit numbers and my 5th graders are knee deep in adding, subtracting and multiplying fractions with different denominators. It's been a long and bumpy ride but I'm so proud of the growth they have made this year!
It's almost luxurious at this point teaching the "right" work to the "right" grade level. Soooo with that LONG introduction, I leave you with a lesson I tried on multiplying fractions by whole numbers that worked really well with my 5th grade kiddos!

We started with a review of whole number multiplication and what multiplication really means. Equal groups!
It was sooooo easy peasy and they laughed and laughed at how ridiculous I was being doing itty bitty multiplication problems.
I wrote out a related problem that used a fraction instead of a whole number. I asked the girls to draw the groups and things were going swimmingly when one of the girls exclaimed "Uh, how are we going to put a HALF of a tile into a group???" So I did the unthinkable. I got out my scissors and cut the little foam manipulative in half. They couldn't believe it. DESTRUCTION OF PROPERTY. This lesson was getting really good :) It's the little things. So then, we added up the unit fractions they were able to solve the problem and they were pretty proud of themselves.
So we did it again. With even littler pieces. And at this point it was a manipulative massacre. We sliced and diced those fourths. And we solved the problem. And now they were starting to feel pretty confident. So I threw them a curve ball. What if we multiply a whole number by TWO fourths!?!!?!
What if we don't have a unit fraction?! But they were old pros and they drew their groups and put two little pieces in each group and added them up and even talked about how to simplify the fractions.
But then it happened.
One of my girls noticed "Hey, I don't have to count all of those little pieces, you just have to multiply the number by the numerator! "
Hall-e-freaking-luia.
They got it.
And so we did more problems that I didn't take pictures of and solved them on paper and then modeled them on the board... you know, just to make sure. And then it was time for computer lab and they skipped off happily to line up.
Every once in a while don't you do a lesson that just clicks with the kids and you WISH that this would be the moment of a spontaneous walk through or unannounced observation? I was hoping and wishing and hoping and wishing, but it didn't happen. But my kids learned and I'm a happy camper so I guess it's a happy ending after all!