# Weekly Math Poll – New Job

This week’s math poll uses the context of a new job and commute costs to learn about systems of equations, functions and linear equations. Students model various situations based on hours worked and price of commute. This poll ends with an opportunity for students to use their computations to make value judgements about if they think the benefits outweigh the costs.

If you don’t want to accept y in place of f(x) you can deselect it. If you don’t want to accept X in place of x (we recommend not making it case sensitive since some keyboards automatically capitalize) you can select the “Match Case” option. Scaling lets you accept larger and smaller versions of equivalent equations.

The prompt asks for the function to be written as f(x) but we decided to allow y as well for correct answers since if the student is getting this close, they are doing the math right and can get feedback later on which form to put it in. But wouldn’t providing this feedback be tedious and hard to scale to my 30+ students?

I’m glad you asked. That’s where the custom legend comes in. Student responses are automatically categorized based on a custom legend that can be tailored to each problem. This task has the following custom legend:

The custom legend looks from the top down so it is important to have the correct answer first. If they did not account for the return bus fare, their response will show up blue on your dashboard. If you want them to have feedback about f(x) vs y without telling them they are wrong you can see who typed y in their answer (regardless of if they were correct) and remind them to pay attention to the prompt. If you want to praise students for getting close by correctly modeling the rate, you can see those responses in green. By automatically categorizing your responses, this task helps you provide more nuanced feedback and move your students learning forward.

The next task has students model the same relationship but as a function of total hours, h instead of hours worked, x. In this case, h=x+2 so replacing x with h-2 will get you the correct answer.

But wait! Isn’t f(h)=15h-40 equal to f(h)=15(h-2)-10? Yup! That’s why this task has no assigned correct answer. After students respond you can display the results and have them discuss (in groups if you want) what they all think the correct answer is. Also, if students finish early, you can ask them to find the other correct answer as a challenge. This task also provides an opportunity to review equivalence and distribution.