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?