Today PJ and I discussed Ratios that can be reduced. We talked about an athlete who made 18 basketball shots and made 12 of them. The question asked if she continued to shoot at this rate, how many baskets would she make on her next 6 shots? We set up the ratio 18:12 and PJ recognized it could be reduced by 6 to 3:2. Then we said if there are 6 shots, we would have multiplied the 3 by 2, so we must multiply 2 by 2 to get the number of baskets made would be 4. Then we took the experiment outside for our findings. PJ shot the basketball 10 times and made 5 baskets. I shot the ball 10 times and made 7 baskets. We put our data together to make 20:12. I asked PJ what the reduced ratio would be and he said 5:3. Then I asked him, if we made 30 more shots at this rate, what would our number of baskets be. PJ realized it should be by 18 baskets!