Comparing Sets of Data

Comparing Sets of Data

How Long Is 10 Seconds?

Opening

How Long Is 10 Seconds?

The 10 Seconds Timer interactive will give you 5 trials for estimating 10 seconds. On your screen are Start and Stop buttons for accurately predicting 10 seconds. When you have completed all 5 trials, all your time estimations will be shown. You will share these results with the class.

  • Use the Start and Stop buttons to estimate 10 seconds.
  • Repeat 4 more times until you have 5 estimates.

INTERACTIVE: 10 Seconds Timer

Math Mission

Opening

Compare data sets using a variety of tools.

How Long Is 20 Seconds?

Work Time

How Long Is 20 Seconds?

Do you think your ability to estimate time will improve with practice? To answer this question, you first need to collect some data.

  • Using the 20 Seconds Timer interactive, use the Start and Stop buttons to estimate when you think 20 seconds have passed.
  • The 20 Seconds Timer interactive will record and display your time estimate.
  • Repeat the process two more times.

INTERACTIVE: 20 Seconds Timer

Analyze Data

Work Time

Analyze Data

Analyze the data to make a conclusion about whether your ability to estimate 20 seconds improves with practice. Think about and answer the following questions.

  • What tools can you use to analyze the data?
  • What evidence can you use to justify your conclusion?
  • What type of graph would be the most useful for analyzing the data?
  • How can you compare the data sets?
  • What graph will show the data best?
  • Have you looked at the range?

Prepare a Presentation

Work Time

Prepare a Presentation

  • Prepare a presentation where you analyze your data sets and their results and conclusions.

Challenge Problem

  • Find the mean absolute deviation for the data. What does this value tell you about the data sets?

Make Connections

Performance Task

Ways of Thinking: Make Connections

  • Take notes about the methods your classmates used to analyze the data sets and their results and conclusions.

As your classmates present, ask questions such as:

  • Did you round the numbers to whole numbers? Why or why not?
  • What is the range of data for each trial? Does the range get wider or narrower from the first trial to the third trial?
  • Where is the data clustered in your graphs? Where does the middle 50% of the data lie?
  • Why did you use that graph to represent the data?
  • Why did you use those tools to analyze the data?
  • Based on your results, can you conclude that your estimation skills improve with practice?
  • Can you generalize this conclusion to students in your grade? Why or why not?
  • Suppose that you analyzed the data from the second trial. How do you think this analysis would compare to your analyses of the first and third data sets?

Comparing Data Sets

Formative Assessment

Summary of the Math: Comparing Data Sets

Write a summary about comparing data sets.

Check your summary:

  • Do you explain how to compare data sets?
  • Do you describe the methods you can use to analyze data and make comparisons?

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.

To draw a conclusion about whether practice improves the ability to estimate time, I think comparing the third trial to the first trial is the best comparison to make because…