Chapter 3 Project
Over the last three units, you have learned about numbers of outcomes and how to calculate permutations and combinations. Read the example of a children’s story below. Then use the example to create your own story that centres around permutations and combinations. Present your story and the answer to the numbered questions below in a Google Slide.
Goldilocks Example
Goldilocks was walking in the woods and stumbled upon a cabin. Upon entering the cabin she smelled something cooking on the stove. When she approached the stove, she sees porridge cooking in three different pots (red, green, and blue). On the counter, she sees three different sized bowls (small, medium, and large). She realizes there are so many options for her to have some porridge that she can’t think straight and creates the diagram on the left to count them. NINE! That’s a lot of choices! She realizes she could have multiplied the 3 choices by the 3 other choices and had the right answer!
⦁ Create your own children’s story (or use one that already exists as a starting point) that involves permutations, combinations, or Pascal’s Triangle and the character is facing a decision that involves large numbers. Carry the problem through the story and use a diagram to model the situation so that the character can help figure out the answer. Do not use combinatorial notation in the problem (DON’T USE THIS – 8 C 6 or 5 P 3 ).
⦁ Write a summary of the math involved in your story using combinatorial notation (YOU SHOULD USE THIS – 8 C 6 or 5 P 3 ). You can incude this math in your slideshow as pictures of your handwritten math (it does not need to be typed).
⦁ Put a copy of your completed project in your course folder and notify your teacher.
Discuss an appropriate due date with your teacher and omplete your project in the agreed timeline. Read the rubric on the next page to see how you will be graded.