This week, we solved the story problems the kids wrote last week. They were two-digit
adding and subtracting problems. Our work focused on creating a written record of how we
messed with the numbers. Kids either drew pictures, number lines, or equations to show the
numerical relationships they used.
As part of studying multiplication models, we studied the area of rectangles. Kids often
confuse area with perimeter, and struggle with the concept that we can measure interior
space as opposed to linear measurements. To help them construct the idea of area, we used
one inch square papers to cover various rectangles and flat surfaces. Many kids saw that they
only needed to measure the length and width dimensions to find the area, thereby getting the
area model connection to multiplication.
Prior to multiplying with decimals, we spent this week working on various multiplication
strategies and the open array model. We did several problem strings aimed at the strategies
of five-is-half-of-ten, using partial products, and double-and-halving. We used ratio tables
to solve both multiplication and division problems.
We also played the Product game. While we have played this before, this time we played using some two-digit factors. This is one of those games that is surprisingly fun to play. There are elements of both strategy and luck.
We explored a life size number line, placing negative numbers into their respective places based on varying scales. We further explored this idea with greater than and less than comparisons involving negative numbers. On Wednesday, we played a game involving adding and subtracting of positive and negative numbers. First, we made number lines from -50 to 50. Then we made game pieces and played with a spinner and playing cards. We recorded the equations
as we drew cards and used the spinner. Knowing which to move on a number line can be confusing as we start to add and subtract negative numbers. This game helped with that.