Tuesday, April 21, 2015

Pom Poms and Cards

Multistage experiments help your chances of winning or losing get higher. In this post I will inform you about our classes encounter with this term and a few others in our class activity. What our class used to work through this activity were a standard deck of cards, and two different sets of colored pom poms. The words that relate to the activity are multistage experiments, probability, replacement, and tree diagrams.

First we started the activity with the deck of cards and groups of two to four to answer a few questions about probability. The first part of this activity included two separate sets of questions. The first consisted of eight questions asking for example to "Find the probability of a red card" or "Find the probability of not getting a face card and not a club." Next we found probability by placing the card back in the deck, which is called replacement. This part of the activity only had five questions asking for example "What is the probability that the first card is an ace and the second card is black?" or "What is the probability that the first card is an ace or the second card is black?" When the first side of the activity was concluded the concepts of  probability and replacement were covered. To conclude this part we all agreed that probability is the likelihood of a certain event happening and replacement means to put an object back after drawing it which makes the results independent. The other side of our activity covered the concepts of tree diagrams and multistage experiments.
For this part of the activity we worked with pom poms and made tree diagrams. The tree diagrams help children visualize how multistage experiments work and show how replacement and no replacement affect your outcomes. With replacement you have a fair chance of getting either color. No replacement means that there are more chances for another color to get drawn more. When we made our tree diagrams they showed what a multistage experiment is and what your chances of getting one color rather than the other is.

In writing all this information might seem boring but once you do the activities yourself you'll have as much fun as we did and your students or children will think more critically of what they are trying to solve.

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