Lesson 2-4 – stripping good problems into great problems.
This is the original problem.
I would take this problem down to the basic building block and show a picture similar to this.
I would have to tweak the numbers a little to make them fit the picture, but this tells a great story.
After WDYN/WDYW finished I’d feed them the information that there were 56 shots made. I’d give them some time to process what that could mean, steering them toward representing the 56 shots in an equation. The second equation would be a story about the different ways they could have scored 98 points to win the game. Since we don’t really know we should make a way to represent it with variables.
I would try and lead them to solving this one by substitution since the first equation lends itself to that so easily.
The trick with systems is showing the students a better way than brute forcing/or guessing and checking their way to the answer.