We started off class today with Mr. K. teaching us how to do his snappy thing he always does. It starts with a snap, then another on your other hand and finally a clap/pop.
Here's how....
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Anyways, on to our actual math class!
Our first slide of the day depicts a scene of 3 coins being flipped. We need to determine the sample space which is not the amount of outcomes we can have but a list of those outcomes. The number of possibilities is the SIZE of the sample space.
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We learned about the words "and" and "or". If, for example, you say you want this to happen AND this to happen AND this to happen, you multiply the probabilities of each of the events. If, for example, you say you want this or this or this to happen, then you add together the possibilities of those events.
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We then learned how to plug our outcomes into a chart. We drew a chart for the outcomes of 2 dice ( or die?) being rolled. There were 2 ways to show this on the chart. We either wrote the numerical values of both dice (die?)...
or we put the added value of the dice (die?)...
It just depends what we are looking for and what would be easier. For example, if we were trying to find the ways that we rolled doubles we would perhaps use the first chart but if we were looking for how many ways could you roll 10 then you would use the second chart.
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The bus and train question on the next slide, can be a bit confusing at first but once you read it it becomes quite easy to understand. In a nutshell, you have all the times the bus can arrive at the station and you have all the times the train arrives at. A wise math teach once said, something along the lines of, math is not the crunching of numbers but the study of patterns, when you find a pattern in one question, you can apply to a ton of others. This is but one of those many times where we can find a pattern. We make a chart, quite similar to that of the two dice being rolled (OMG is that the pattern??) where along one side we have the times the bus arrives at and the top we have the times the train arrives. From here we can clearly see all of the ordered pairs of times that the two vehicles arrive allowing to solve the following questions very easily. I will not show the answers on my scribe post here tonight but just remember, think patterns!
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We then went over independent and dependent events. Independent events are those that have no effect on each other like flipping two coins, or after drawing a card from a deck, replacing that card before you draw the next card. Dependent events are those which do have an effect on following events such as not replacing a card into a deck after drawing it because in this situation the probability for the second event has changed due to a different amount of cards in the deck.
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That's about all, I just have a few small comments before I finish up:
·Good luck on the test tomorrow!! Study hard, do your BOB's and get that link!
·PATTERNS!!!!!!!!!!!!
·Mr. K, there will be several, I believe 5 or 6 of us, not here tomorrow for the test just as a reminder!
·Congratulations to Ann and Rebecca for finishing their DEV already!
·And lastly the next scribe will be......... John!
