Thursday, April 23, 2015

ALGEBRA




As usual, we began our unit by stating what we know about Algebra.  We compared and defined the terms EXPRESSION, EQUATIONS, VARIABLE.  Then we jumped into our first problem.  Despite the challenge, all groups were very successful in resolving this problem!




Some groups found it easier to assign a value to the variables so they could work with numbers rather than symbols.  They used logical reasoning and guess and check to assign a value that was true in the given equations.  Then they used substitution to check the reasonableness of their solutions.







Consolidation:

1) The right side and the left side of an equation must "balance" (are equivalent in value).
2) It is easier to solve the problem if a value is assigned to the variables.
3)  A variable can be represented by different values.





















What a wonderful group of Mathematicians I have!  They don't give up!  They tackle every problem with zeal!






































Many students were excited to solve the following.  Some worked backwards.  Some used equations.  Some used guess and check.




The following problem was quite challenging! Many students could decipher the value of the 5th number, and some could find the third, but only Rhys, Ben C., and Hailey have solved this problem so far.  (Possibly, Izzy did too!).



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