PowerPoint Presentation

SAT Question of the Day

Which of the graphs on the right show a relationship in which y is directly proportional to x?

A. I. onlyB. II. onlyC. III. onlyD. IV. onlyE. I. and II. only

The answer is D. It is a direct (and negative) correlation.

Question from:http://www.freesatmath.com/practice_problems.php

Additional practice can be found at:https://sat.collegeboard.org/practice/sat-practice-questions-math-multiple-choice

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SAT Question of the DayWhich of the graphs on the right show a relationship in which y is directly proportional to x?

A. I. onlyB. II. onlyC. III. onlyD. IV. onlyE. I. and II. only

The answer is D. It is a direct (and negative) correlation.

Question from:http://www.freesatmath.com/practice_problems.php

Additional practice can be found at:https://sat.collegeboard.org/practice/sat-practice-questions-math-multiple-choice

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Video at: https://www.youtube.com/watch?v=08OpjYn1BlY

This video shows traffic in Vietnam. It can be used to begin a conversation about the positive and negative aspects of Vietnamese traffic.

Video from:https://www.youtube.com/watch?v=08OpjYn1BlY

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You have been hired as a special consultant to the Vietnamese Ministry of Transport to help research and address some of the issues relating to traffic in Vietnam.

This is where the modeling traffic activity is introduced and made relevant.

Begin with a question similar to how can traffic in Vietnam be improved? This question opens up a discussion with no obvious solution. The conversation can be directed with how can we know.? and how can we measure? Eventually, the students realize that they need more information, such as the speed of vehicles. To find speed, they can measure the distance traveled vs. the time taken for vehicles.

This will initially be modeled with a toy car before being applied towards actual traffic.

Images from:http://www.tamkiet.vn/thu-vien/van-ban-phap-ly/bo-gtvt-thong-tu-so-272014ttbgtvt-cua-bo-giao-thong-van-tai-quy-dinh-ve-quan-ly-chat-luong-vat-lieu-nhua-duong-su-dung-trong-xay-dung-cong-trinh-giao-thong.htmlhttps://www.flickr.com/photos/jkjohnson/3298451423

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Collecting the DataHigh TechMid TechLow TechVernier Hardware used with LoggerPro, iPad, or IT-84.Video recording of car and timer. Analyze it by frame.Average of multiple trials of time from 0 to 10 seconds.Analyzing/Representing the DataHigh TechMid TechLow TechStudents use Microsoft Excel to plot their data and find a regression line.Students use TI-84 graphing calculators to plot their data and find a regression line.Students manually plot points on a graph and use a ruler to estimate a regression line.

This slide is to help the teacher decide which option is best for their students given the available equipment.

In addition to the lists above, all methods will require that each individual/group has access to:1 battery-powered toy car that runs at a constant speed1 stop watch (smart phones have these)1 meter stick or measuring tape

I generally have students collect the data using the mid tech method and have them analyze it with the high tech method.5

Video at: https://www.youtube.com/watch?v=HDu_TwoOM5I

This video is taken above an intersection in Ho Chi Minh City, Vietnam, using a GoPro and drone. For further studies, students can find the speed of specific vehicles moving through traffic. Distances be found using proportions and the known length of vehicles (the dark green taxis are a recognizable standard). Time can be found using frames.

Original Video from:https://www.youtube.com/watch?v=HDu_TwoOM5IIt has been editted from ~1:00 to ~5:00 in the clip.

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