 Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum  MENU          Session 4, Part B:
The Mixture Blues

In This Part: Comparing Mixtures | Mixing Blues

 Some of the scientists in the lab decided to see what would happen if they took two different mixtures and mixed them together. They called this the "union" of the two mixtures. For example, in Problem B4, they took the two mixtures A and B and formed the union of the mixtures. Standard mathematical notation for the union of two things (usually sets) is U, so they named their new mixture A U B.  Problem B8 In this example, which is bluer: A, B, or A U B?  Problem B9 What can you say about the relative "blueness" of A and B if A U B is bluer than A? If it is bluer than B?  Your results from Problems B1-B7 may be helpful here.   Close Tip Your results from Problems B1-B7 may be helpful here. Problem B10 Can A U B ever be bluer than both A and B? If not, why? If so, when? Note 5  Consider this problem from a practical standpoint.   Close Tip Consider this problem from a practical standpoint. Problem B11 Can A U B ever be just as blue as either A or B? If not, why? If so, when? Someone invented a term called the "blueness quotient" (BQ) of a mixture. In the mixture in Problem B4, the BQ of A is 3/5, and the BQ of B is 2/4.  Problem B12 Come up with a rule for computing the BQ of A U B if you know the BQs of A and B.     Problem B13 Mixture A has a BQ of 1/3, and the lab has decided that it would like A U B to have a BQ of 1/2. What could be the BQ of mixture B? Is there more than one answer? Why?  Next > Part C: Quadperson  Session 4: Index | Notes | Solutions | Video

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