I could make the prediction that Shawn will make 3 more free throws in the next 21 attempts. To prove that my prediction is reasonable, I would first need to total the number of free throws made (35) and create my fraction of free throws for Shawn as 5/35. Now, if Shawn is going to make 21 more throws, I would need to simplify my fraction to get a denominator that would be easier to work with. 5/35 simplified is 1/7. Now, make an equivalent fraction. My denominator becomes 21 by multiplying 7 x 3. Therefore my numerator is multiplied by 3 (1 x 3 = 3). So, my reasonable prediction would be 3 more free throws.
In class, we used tiles to make predictions. To see how we made reasonable predictions, found theoretical probability, and experimental probability using tiles, please watch my video: Reasonable Predictions. After taking the notes, we actually worked with a few problems to make our predictions.
These types of problems will be on the STAAR test on April 1.
HOMEWORK: Countdown 4.1