Word doc: Quiz 3

## 1. Fractions.

Yay – we’re getting this! Multiplication plus subtraction with borrowing. Example 3 below is one of the few with a mistake, and its last step is correct, it’s the first step that’s not.

THIS problem, however, lead us into the pit of confusion. Only the last example below is correct, but the others came very close. It tells us what we still need to work on.

## 2. (Level 2) Multiplication and (Level 3) Different Bases

Multiplication is going well, too. Our students did a lot of area modeling in 4th grade. Exploding Dots helped many students visibly see what it means to borrow and carry within the place value chart.

About 40% of the students tried the Challenge Questions. These challenge questions were useful in clarifying place value relationships for our fastest students who otherwise would say, “just tell me the steps”!

I would think an area model for Q1 and Q2 would be quite helpful.

You’re definitely right. We haven’t done any fraction multiplication area models yet, so they’re doing their best with the addition models they already have. It seems to give them a pretty strong number sense around multiplication. Plus they’ll appreciate the area models when we give them that tool, too!