Day 3 – Lesson
Title
Grade
Duration
Eureka Alignment
Leap of Faith
Algebra One
3 days
Module 3; After Lesson 24
Objective
• Students will analyze data from multiple trials of an experiment.
Learning Goal(s)
• Use mathematical intuition and algebraic reasoning to make reasonable predictions. Justify predictions with obtained data
• Interpret and reflect the results of an experiment, troubleshoot solutions for unanticipated hurdles, determine a margin of error
Materials for Day 3
Preparation for Day 3
• Student Handout (given on Day 1)
• Student Reflection (given on Day 2)
• 1 Barbie + weight
• 10-20 rubber bands (size 32)
• 3 Yard Sticks
• Tape
• Graphing program:
• TI-83, TI-84, TI-Nspire
• Desmos
• Google Sheets
• Microsoft Excel
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Conjecture a relationship between the amount of weight added and the change in the number of rubber bands needed. Use the data that you collected from your test objects to support your response.
2. What role do linear functions play in this activity?
3. Can you think of another situation that could be modeled with a linear function?
• After 5 minutes, teachers will ask a few student volunteers to share their responses.
Explain
• Teachers will reveal the vertical distance that Barbie must clear for her final jump.
• Students should use their regression line and any other visible trends in their data to make an accurate mathematical predication as to how many rubber bands would be needed for Barbie to make a safe jump. Groups will be given 20 minutes to prepare their bungee cord.
Elaborate
• Teachers should escort their students to the location of their final jump.
• Group members will then split apart. One person will be responsible for releasing Barbie from the top of the final jump location, and the other person should be at the bottom to collect the Barbie afterwards.
• Special attention should be paid to the lowest point that Barbie's head reaches. If possible, record this portion of class with a cell phone so that the video can be reviewed at a later time.
Evaluate
• Once all students are back in the classroom, the entire group will debrief the results of the final bungee jump.
• The pair that
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The Barbie Bungee lab was conducted in order to find the association between the amount of rubber bands and the distance the Barbie bungeed. Before performing the final experiment, the group conducted an initial investigation to get data that could be analyzed to examine the comparison from the amount of rubber bands to the length Barbie was able to bungee. In the investigation rubber bands would gradually be added one by one starting at two rubber bands. Each time a rubber band was added, three trial bungees were done and the lengths the barbie dropped were recorded. Using data collected from our background investigation, the group used excel to create a sheet displaying the data in a table, a graph showing the correlation constant, the line of best fit. The line of best fit was in slope-intercept form (y=mx+b) where y represents the length of the trial average; m represents the slope
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Linear regression is an approach for modeling the relationship between a scalar dependent variable Y and explanatory variables (or independent variables) denoted X. Function $f(X,W)=Y$ (shown below) can be learned to predict future values.
Describe the experimental method, state its advantages and disadvantages, and distinguish between independent and dependent variables.
4) Use cubic regression to determine an equation for the data (or lwh where (12 – x) represents the sides and (x) represents the height of the box).
Procedure : Watch each part of the experimental demonstration and make predictions about what will happen in each scenario.
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In order to determine the best course of action, we need to first understand how we have come to this point and why the project is not providing the expected results. The following questions will help us in our discovery process:
Describe the experimental method, state its advantages and disadvantages, and distinguish between independent and dependent variables.
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