Challenges

Challenge 3/11/15 -- We have been making scale models of our solar system using toilet paper.  In order to do this, we had to calculate the scale distance between the planets assuming a sun which was 1 centimeter in diameter (that's really small!).  Your challenge is to design another way to make a scale model of the solar system.  Think about what you might use to make your model.  What measurement would you use?  What would you use to show the sun and the planets?  What engineering problems might you encounter (we had limited space in our classroom and so had to fold the toilet paper).  Write about how you would design this model.  You do not need to build it, but feel free!  You may use the Exploratorium website that Mrs. Boucher and I used to calculate the size of your model (http://www.exploratorium.edu/ronh/solar_system/).

Challenge 1/6/15 -- Today we discussed regular polygons.  They are polygons which have all equal sides and all equal angles.  For example, equilateral triangles and squares are both regular polygons.  We also started talking about a rule that can be followed to find out the sum of the interior angles of a regular polygon.  For an equilateral triangle, the sum of the interior angles is 180 degrees.  For a square, the sum of the interior angles is 360 degrees.  Notice that we added a line when we changed our shape from a triangle to a square.  The challenge is to figure out the general rule for finding the sum of the interior angles of a regular polygon.  Show how you discovered the rule.  You should come up with an algebraic expression that will work for every regular polygon.

Challenge 12/8/14 -- Complete "One Hour of Code" and bring in your certificate.  Go to www.code.org.  Click on "start".  Click on "start" under "Tutorials for Beginners".  You will be instructed to advance through 20 short coding exercises for the Angry Bird.  When you have completed these 20 activities, you have done one hour of coding.

Be patient with the site.  I found that it worked better using Google Chrome as my browser.  It may also be a little slow because many people are trying to do the hour of code today.  Play with how it works.  I found the "reset" button especially helpful.  There are also hints on each page.

If you finish this, consider moving on to other beginning tutorials.  If you plan to do this, I would like to have you complete it (the one hour of coding with the Angry Bird) by Friday, 12/19.  Of course, you can always work on it after that at your leisure.

Challenge 12/3/14 -- "Look at this," he said.  "This tissue-paper is one-hundredth of an inch thick.  Fold it once, making it double.  I fold it again, making it four thicknesses.  Now then, I will give a large bar of Cadbury's Fruit and Nut Milk Chocolate to any boy who can tell me, to the nearest twelve inches, how thick it will be if I fold it fifty times."  (p. 151, Boy by Roald Dahl).


Corkers said that the answer was "the distance from the earth to the sun," (p. 151, Boy).  Is he correct?  What is the actual thickness?  Can it actually be done?  I will not give you a chocolate bar, but I will give you heaps of praise.  Have fun!

Challenge 11/19/14 -- Create a math story problem which requires multiplying proper fractions to solve.  Think about the kinds of problems that we've been doing in class over the past two days.  After you write the problem, show how you solved it using both bar models and math calculations.  I can't wait to read what you come up with!




Challenge 11/19/14 -- Take a favorite Thanksgiving family recipe that has lots of fraction measurements in it and halve it (multiply it by 1/2).  Now try reducing it by 1/3 (think carefully about what that means).  Rewrite the recipe each way.  Can you think of another way to change the recipe?

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