So, I’m going to spiral the grade 9 applied course! I’m a little hesitant because I’ve taught this course with a units approach for the last 10 years. But I’m also exited!!! It seems so awesome that everyday we will solve problems; Alex Overwijk says
“learn to uncover curriculum instead of cover curriculum“
— Alex Overwijk (@AlexOverwijk) February 4, 2015
Instead of “boring up” the first day with paper and expectations, and policy, etc, etc we talked about being curious, collaborative, creative, and embracing challenge!
So….we dove right in to this.
Act 1: Showed this:
We took questions……and usually when I do this sort of lesson for the first time the kids are shy and not sure what to do…..most times we tell them what question we will work on and now they were being asked to come up with one. But this group took to it like water! They asked all sorts of awesome stuff like How long did it take? What picture are you making? What does this have to do with math? (my favourite) What are the dimensions? How many stickies did it take?
All awesome ones…..and we picked how many stickies to start and took guesses!
Act 2: Here is what they wanted to know so we could find how many stickies.
I am always blown away by the solutions students come up with…..I have one in my “math teachery” mind ….here are two:
This is the solution I expected…Find the area of each then divide the board area up by the sticky area…..giving the number to fill….609!
Here is one I didn’t expect: Kids divided the board width by the sticky width….. = number of stickies that would go along the width. Did the same for the length…..which gives them the dimensions of the board in terms of stickies 21 by 29…..so the number of stickies is the area of the board!
Act 3 – We revealed how many
Sequel: To extend this I turned the problem around!
This is our lead in to discussing optimization! What would be the smallest perimeter we could make? etc!! Also, next time I want to open it more and not limit the “boards” to be rectangles. What other shapes could we make with 1350 stickies?
More spiralling happening next day…..Doing Corner to Corner and Pythagorean Theorem.
Here is a Google Sheet that has a rough outline of activities I’m doing in the spiral. Any tips/feedback out there????