My 3 Act Math Task in my previous post is an epic failure so far at 101qs.com. A score of 0 is a little humbling. Obviously, I need help. Here's the word problem that I am attempting to turn into 3 acts:
Lisa is making cookies to sell at the Annual Dirt Bike Competition. A dozen oatmeal
cookies require 3 cups of flour and 2 eggs. A dozen sugar cookies require 4 cups of
flour and 1 egg. She has 40 cups of flour and 20 eggs. She can make no more than 9
dozen oatmeal cookies and no more than 7 dozen sugar cookies, and she earns $3 for
each dozen oatmeal cookies and $2 for each dozen sugar cookies. How many dozens
of each type of cookie should she make to maximize her profit?
This word problem is stolen from Illumination's Dirt Bike Dilemma. I eliminated the part where she can make no more than 9 dozen oatmeal or 7 dozen sugar cookies.
I would like to show this video before my unit on Linear Programming to see what methods students use to solve the problem.
My plan for Act 1: My son wants to buy Legos that cost about $30 (about $32 with tax) and needs to come up with a way to raise the money. He decides to sell cookies, but has a limited amount of ingredients to work with.
My plan for Act 2: Show the price of the Legos ($29.97), PA sales tax (6%), the amount of flour and eggs needed for both recipes, the amount of flour and eggs available, and the price for a dozen of each type of cookie.
My plan for Act 3: Show my son selling 8 dozen oatmeal cookies and 4 dozen sugar cookies, my son holding the $32 profit he made, and finally a photo of him playing with the Legos he bought.
Here's where you come in....how can I improve at least Act 1 so that my students can see where I'm trying to go with this?