On Tuesday we finished up the concept of
problem solving . On of the problems we focused on during class was a word problem involving find the perimeter a hexagon tiles with 1 centimeter sides. In solving the problems we were challenged to do so with out simply counting and to use alegrabric ways to find the perimeter as the number of tiles increased.
Starting total:
When looking for the perimeter of a set of 100 hexagons we, as a class, came up with 3 algrebraic ways to solve the problem.
In solving for the perimeter this way we also reviewed the words of
constant (which are highlighted in red in the photos) and
variables (the H in the problem).
On Thursday we began learning about
sets. In doing so we reviewed the terms;
union,
intersection, and
complement. we went over the shorthand notation and a visual way to represent the set.
Union:
Shorthand notation:
Visual:
Intersection:
Shorthand notation:
Visual:
Complement:
Shorthand notation:
Visual:
Shorthand notation:
Visual:
Shorthand notation:
Visual:
We also did an activity in class that helped in practicing labeling and making sets with 2-3 rings and colored shapes called attribute pieces. This activity can be found in our problem solving and mathematical reasoning class activity book on pages 27-40.
In doing this activity we also looked at the difference between "
and" & "
or" in looking at a set.
Visual for And:
Visual for Or:
Lastly, we began we added a third ring and continued with labeling and making a visual.
Shorthand notation example:
Visual:
If the concept of set is confusing there is no worry on Tuesday of next week we are continuing working with sets. This concept is important to grasp and understand since the will be found in our homework for set 2.1.
Stay tuned for next posting and Go Cougs!
I really enjoyed your blog because of the examples and explanations you provided in picture form. It made it very easy to understand and interpret exactly what you were talking about. I am also a very visual person, so being able to look rather than read really helps me out! Last but not least, I feel like Venn Diagrams are best explained using pictures, since that's what they are.
ReplyDeleteI like that you mentioned the activity we did in class. It was not only fun to play a game that taught us about Venn Diagrams, but very informative and helpful. I will use games similar to the one we played in class when it comes time for me to teach this topic to my own students.
I thought it was really great that you put the shorthand notation and the actual ven diagrams rather than one or the other. it was also helpful that you put which pages of the book you can find that type of problem on.
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