We completed our work on finding the probability of the multiplication game. We discussed how we could compare experimental and theoretical probabilities. This is something that we will continue to discuss throughout this book. Next we discussed what is meant by an area model. We were given the situation in which there were two buckets. Bucket 1 has a red marble and 2 green marbles. Bucket 2 has a red, a yellow, a blue and a green marble. By making a square and dividing it into 12 separate areas we were able to determine the number of outcomes and the possible solutions. Using this we were able to determine the probability of various situations. For instance the probability of drawing 2 red marbles is 1 out of 12 since there is only one section with 2 reds in it. We made up different possibilities and found the probability for each.
We also started to play a game using a spinner to see the experimental probability of "Making Purple." This will continue tomorrow.
Today we used our results from yesterday to determine the experimental probability of making purple. Next we made an area model of the situation to find how many times we would expect theoretically to get purple. This also gave us the total number of outcomes. Using our experimental and theoretical probabilities we were able to make comparisons between the two. We were also able to determine the income, the amount we could predict we would pay out and thus the profit if 36 people were to play our game. It was given that the cost to play is $2 and the winner would receive $6.
Assignment: p. 32, #13, 14
Periods 4 and 5
We continued to work on the scavenger hunt from yesterday. Students are working together and asking good questions to help with there solutions.
We also discussed absolute value equations. These kinds of equations require us to remember what is meant by absolute value and to also remember how to solve equations. For most there will be two solutions.
We will continue to discuss this tomorrow.
Assignment: p.v393, #3-5, 9-13.