Before the task – Open ended questions:

- What numbers do you observe?
- What are the quantities at play?
- What prediction(s) are you trying to make?
- Look at how numbers change in the table. Is there a pattern, or a rule you could identify?
- Is there a relationship between quantities? Use your own words to describe it.

Enabling prompts:

- Prepare a table to report the information provided for for steps 1, 2, and 3.
- How many blocks will be needed for step 5?

- How many blocks will be needed for Step 6? Step 10? Step ’n’ ?
- Is there a relationship between quantities? Use your own words to describe it.
- How could you represent this relationship using mathematical representations?
- Could you write an equation using mathematical symbols?

Small groups guidance – During the task -Monitoring

- What kind of predictions will you be able to do? Will you be able to predict for any step #n? Or just for step #30 and #50?
- What mathematical words, pictures, symbols will you use?
- How will you explain your approach and your reasoning?
- What do you think of the teams draft work? Compare with your current work.

- What are the methods you like ?
- What approaches seem efficient?
- Will all methods work to predict the number of blocks quickly and accurately?

Expanding prompts:

- Do you understand the underlying mathematical concepts you are using?
- Could you write an equation using mathematical symbols?
- Will other team members understand your work?
- Will the contractor understand all the steps of your reasoning and trust your predictions?

Guiding students with their presentation:

- Which way(s) did you feel more comfortable for developing your presentation? Why?
- What will be the outline for your presentation?
- How will you explain your approach and your reasoning?
- Is your presentation ready to be shared?
- Did you explain your goal and your method?
- Did you test your method works well for any construction step? For example, did you test your solution for step #1? Step #5?

After the task – Classroom discussion

- Is there a relationship between quantities? Use your own words to describe it.
- What are the methods you like ?
- What approaches seem efficient?
- Will doing this work demonstrate you are a mathematically educated student with knowledge and skills that are useful on the job?

- What do you think of other teams presentation?
- Do you agree with the way they did their work?
- Do you agree with their solution?
- What could do differently now that you can see what others have done?

- Did you like working on this task?
- Did this help you understand better the concept of linear function?
- Are you looking forward to do more tasks like this and demonstrate your abilities to resolve real world problems and demonstrate your knowledge of mathematics?