Monday, March 11, 2013

Class Topics: 03.11.13

In Math Six today, students began the class by looking their Weekend Practice posts to the question from Friday.  Mr. Giomini then posed a question to the students to introduce Lesson 7.4 - Tree Diagrams:
There are two identical bottles.  One bottle contains 2 green balls and 1 red ball.  The other contains 2 red balls.  A bottle is selected at random and a single ball is drawn.  What is the probability that the ball is red?

Students developed an answer to the problem before the lesson and then another after the lesson.  In pairs, students worked on Math Journal pages 257 and 258.  
Today's Learning Goals: The student will be able to...
  1. multiply fractions.
  2. reduce fractions to simplest terms.
  3. use a tree diagram to find expected outcomes for chance events.
  4. compare actual results of a simulations to expected outcomes.
  5. understand how sample size affects results.
For Evening Practice, the student is expected to...
  1. complete Study Link 7.4.  (CLICK HERE)
  2. view video posted below.
  3. answer the questions from this website.  (CLICK HERE)



In Pre-Algebra today, students received their Chapter Eight Summative Posttest back from Mr. Giomini.  The class discussed the successes from the assessment as well as a few of the questions that stumped some of us.  To help prepare the Chapter Nine Formative Pretest on Friday, Mr. Giomini front loaded material dealing with combinations and permutations.  

We discussed how in a combination the order does not matter, but in a permutation the order does matter.  Examples such as the one below were introduced, discussed and solved both in small groups and as a class.
  • Tyler, Maggie, Andrew, and Gina are running for the offices of president, secretary and treasurer. In how many ways can these offices be filled?
  • Michigan Lotto. The state of Michigan runs a 6-out-of-44-number lotto twice a week that pays at least $1.5 million. You purchase a card for $1 and pick any 6 numbers from 1 to 44. If your 6 numbers match those that the state draws, you win. 
    • i) How many possible 6-number combinations are there for drawing?
Today's Learning Goals: The student will be able to...
  1. describe the difference between a combination and permutation.
  2. determine whether a question is looking for a combination or permutation.
  3. explain the term factorial.  
For Evening Practice, the student is expected to...
  1. answer questions 1 through 32 on page 445 without the use of a calculator.
  2. view the Khan video on combinations posted below.
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