Day 6 - Last Day of Thinking Problems

September 12, 2012

I decided to make today the final day of thinking problems that are not explicitly targeted at specific outcomes from the program of studies.

I gave my first class the probability and Sudoku problems I gave my second class yesterday, and their progress was much the same.

I gave my afternoon class the following problem:

A heart is constructed by attaching two white semi-circles to the hypotenuse of an isosceles right triangle whose equal sides measure √ 8 cm. The new figure is then mounted onto a rectangular piece of red construction paper as shown below. (The dashed line, the side measurement and the right angle symbol will not actually be on the finished card.)

You are going to write your valentine a message in red ink on the white region of the card.

Determine the total amount of area available for your special valentine greeting.

(I got this problem from the Centre for Education in Mathematics and Computing at the University of Waterloo.)

I was expecting this to be a quick problem, however it ended up taking about ¾ of the class. As usual, it started off very slowly with a lot of standing around with little engagement. Eventually one student student asked about formulas (hypotenuse, I think). I responded that they could google any formula they needed.

Eventually, with a little prompting from me, all groups were successful in solving this problem.

Observations / Reflection

Tomorrow I will start the Linear Relations unit, leveraging questions from the MathWorks 12 textbook and workbook.