Start Hard

It may be because I am a new teacher that I think I have this great idea, but I am super excited about an idea for more student engagement.
I have been taught to teach math using the I Do, We Do, You Do method. Starting out with easy computational problems and moving to word and multi-step problems once they "get it".
My brilliant new to me idea is to pose that difficult word problem first. My thinking is that when I model the math to them there will be an interest in why we are doing it in the first place. Duh when I write this out I feel so stupid for not doing this already.
The other part to this is how do I get them thinking about the question beforehand. What I've come up with is that will be the last thing we do each day, and they will have 10 minutes to write about the problem in their notes, it could be anything from writing down what they know to solving it if they know how. Then their next video will be on that topic and at the end of the video I will give the solution to the previous day's problem.