Saturday, February 9, 2013

Week 5: Addition & Subtraction with Different Bases


This week we only had class on Tuesday the 5th and our first homework assignment was due. We started off Tuesday working on some addition and subtraction practice problems using multiple techniques to solve them.

Our first practice problem was 64 + 77. Here are two examples on how to solve this equation using two different techniques, Partial Sums and Give and Take.


Partial Sums Visual:


















Give and Take Visual:












For our second practice problem we had the subtraction problem 145 - 66. The two examples to solve this problems is using the techniques of Compensating and Holy Shift.

Compensating Visual:
Holy Shift Visual:
 

 

We also looked at a time problem to interlude into to our main topic of adding and subtraction with different bases.
 
 
Time Addition Visual:
 
Time Addition Graphed:
 
 
 
The last portion of the class we looked at addition and subtraction with different bases. In elementary school we learned to add in base 10 with stacking and borrowing. This exercise uses simple addition but with different bases. This activity's main goal was for us as future teachers to understand the frustration and confusion elementary students feel when learning stacking and borrowing and to apply that to our teaching methods.
Addition in Different Bases Visuals:
 
Example 1:

Example 2:
 
 
Subtraction in Different Bases Visuals:
 
Example 1:
 
Example 2:
 
 
 This will be my last blog post thanks for all the comments and go Cougs!

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