Algebra I Task: Brandon's Band

Algebra I Task: Brandon's Band

Standards & Objectives

Essential and guiding questions: 
  • What strategies did most of us use to solve this problem? Did anyone else use a different strategy, or can you think of another strategy that we could have used?
  • What type of relationship is represented in part a? How would it look if we graphed it?
  • Were there any constraints that were given in this task? If so, what?
  • There were several different prices that the groups thought were reasonable to charge for a CD. What were some of the factors that went into your group’s decision when you set your price? How did the price you charge for the CD affect your profit?
  • Can someone share a common mistake that your group made, and how you determined it was wrong?

Activity/Task Variations

Blooms taxonomy level: 
Understanding
Differentiation suggestions: 

If students can’t get started….
Assessing Questions

  • Can you tell me what the problem is about?
  • If the band was going in to record and only buy 1 CD, how much money would they spend? 2 CD’s? 5 CD’s? 20 CD’s?

Advancing Questions

  • Is there a direct relationship between the number of CD’s and the cost?
  • How can you represent this using an equation?
  • What would the graph look like?
Extension suggestions: 

If students finish early….
Advancing Questions

  • If the band needed to make $1500 profit from selling CD’s, how many CD’s should they buy from the studio when they go in to record?
  • If the band decided to charge their closest friends only half price for a CD, how would that affect their profit?