The Relationship Between Size & Price

The Relationship Between Size & Price

Three Bears

Opening

Three Bears

Watch the video.

Think about these questions:

  • How many Mini Bears would you have to eat in order to eat the equivalent of 1 Super Bear? How many Regular Bears would you have to eat?
  • What information do you need to solve this problem?
  • Make a prediction about the solution to the problem.

VIDEO: Three Bears

Math Mission

Opening

Find the number of Mini Bears and Regular Bears you would have to eat in order to eat the equivalent of 1 Super Bear.

Compare Gummy Bears

Work Time

Compare Gummy Bears

Consider the first question: How many Mini Bears would you have to eat in order to eat the equivalent of 1 Super Bear?

Watch the videos.

  • Make note of any information in the videos that can help you solve this question.
  • Then use the problem-solving process to answer the question. You can approach this as a series of steps:
    • Understand the situation.
    • Represent the situation.
    • Answer questions about the situation.
    • Check that your answer makes sense.

VIDEO: Mini Gummy Bears

VIDEO: Super Bear

Hint:

  • Use ratios to help you organize the information from the videos. Be sure to include the appropriate units.
  • How can you use ratios to write and solve proportions?
  • Follow the steps in the problem-solving process to ensure that your solution is complete.

Regular Bears and Super Bears

Work Time

Regular Bears and Super Bears

Consider the second question: How many Regular Bears would you have to eat in order to eat the equivalent of 1 Super Bear?

Watch the video.

  • Make note of any information in the video that can help you solve this question. What information do you already know about the situation?
  • Then use the problem-solving process to answer the question.

VIDEO: Regular Bears

Prepare a Presentation

Work Time

Prepare a Presentation

Prepare a presentation about how you solved the problem. Include any calculations, formulas, graphs, and/or diagrams that you used.

Make Connections

Performance Task

Ways of Thinking: Make Connections

Take notes about the approaches and representations your classmates used to solve the problem.

As your classmates present, think about the problem-solving process. How did the process help you to answer these questions?

Hint:

As your classmates present, ask questions such as:

  • How did you use ratios to organize the information provided in the videos?
  • How can you use the steps from the problem-solving process to ensure that your solution is complete?
  • Can you write a formula to represent this situation?
  • How is this problem similar to the lightning problems? How is it different?
  • What are the variables in the problem? How are they related?
  • What mathematical strategies are the most useful in solving a problem in which you are given a relationship between variables and are asked to make predictions?
  • How did you decide what units to use? Why is it important to include the units?
  • Did you have any errors in your thinking? If so, what were they and how can you correct them?
  • Can you show this relationship graphically? If so, how could you use your graph to find the solution to the problem?

Reflect On Your Work

Work Time

Reflection

Write a reflection about the ideas discussed in class today. Use the sentence starter below if you find it to be helpful.

Compared to the actual solution to the problem, the prediction I made in the beginning of the lesson was …