IM 7.8.1 Lesson: Mystery Bags
Andre and his dad have been fishing for 2 hours. In that time, they have caught 9 bluegills and 1 yellow perch.
The next time Andre gets a bite, what kind of fish do you think it will be? Explain your reasoning.
The applet below will assign your group a bag of colored blocks.
[list=1][*]Follow these instructions to play one round of the game:[/*][/list] a) Everyone in the group records the color written on the bag in the first column of the table. [br] b) Without looking in the bag, one person takes out one of the blocks and shows it to the group.[list=1][/list] c) If they get a block that is the same color as the bag, they earn:[br] - 1 point during round 1[br] - 2 points during round 2[br] - 3 points during round 3[br][br] d) Next, they put the block back into the bag, shake the bag to mix up the blocks, and pass the bag [br] to the next person in the group.[list=1][/list][br] e) Repeat these steps until everyone in your group has had 4 turns.[br][br] 2. At the end of the round, record each person's score in the table.[br][br] 3. Pause here so your teacher can give you a new bag of blocks for the next round.[br][br] 4. Repeat the previous steps to play rounds 2 and 3 of the game.[br][br] 5. After you finish playing all 3 rounds, calculate the total score for each person in your group.[br]
Tyler’s class played the block game using purple, orange, and yellow bags of blocks.
[list][*]During round 1, Tyler’s group picked 4 purple blocks and 12 blocks of other colors.[/*][*]During round 2, Tyler’s group picked 11 orange blocks and 5 blocks of other colors.[/*][*]During round 3, Tyler forgot to record how many yellow blocks his group picked.[/*][/list][br]For a final round, Tyler’s group can pick one block from any of the three bags. Tyler’s group decides that picking from the orange bag would give them the best chance of winning, and that picking from the purple bag would give them the worst chance of winning. What results from the yellow bag could have lead Tyler’s group to this conclusion? Explain your reasoning.