Plinko Probability_二項分佈彈珠台機率

Plinko Probability_二項分佈彈珠台機率 螢幕截圖  下載  嵌入
  • Probability
  • Statistics
  • Histograms
Flash Logo 原始模擬教學與翻譯

標題

  • Probability
  • Statistics
  • Histograms

描述

玩彈珠台並開啟你的統計知識。
投入彈珠穿過三角格子,並觀看彈珠隨機通過格子,查看彈珠落點所累計的長方條統計圖與二項分佈近似。模擬程式的靈感來自 U. Alabama in Huntsville 機率與統計系的虛擬實驗室 (www.math.uah.edu/stat)

翻譯者:
楊森吉 (2009)
楊森吉 (2010)

HTML5 版本之翻譯:
翁佳驥 (2016~)

學習目標

  • Predict the bin where a single ball might fall
  • Repeat trials of 100 balls and compare the outcomes
  • Count the number of balls in a bin and relate that to the probability of falling in that bin
  • Compare and interpret empirical and theoretical statistics
  • Apply the plinko simulation as a model to other scenarios where there are weighted statistics

標準對齊

共用核心 - 數學

6.SP.A.2
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
6.SP.B.4
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
6.SP.B.5c
Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
7.SP.C.5
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
7.SP.C.6
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.
HSS-IC.A.2
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model?
HSS-ID.A.1
Represent data with plots on the real number line (dot plots, histograms, and box plots).
HSS-ID.A.2
Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
版本 1.1.17

教學提示

下載教師教學提示 PDF 檔 模擬教學的控制概觀、模型簡化與引導學生思考 ( PDF ).

入門影片

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老師提供的活動

Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. 此貢獻是由 PhET 所作之設計 Diana López K-5
研究所
國中
大學-簡介
大學-進階
高中
作業
討論
數學
化學
物理
太空
Displaying, Analyzing, and Summarizing Data A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. 此貢獻是由 PhET 所作之設計 Jeffrey Bush 國中 指引 數學
What are the chances? A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. 此貢獻是由 PhET 所作之設計 Susan Miller 國中
高中
指引 數學
Alignment of PhET sims with NGSS 此貢獻是由 PhET 所作之設計 Trish Loeblein updated by Diana López 高中
國中
其它 地球科學
物理
化學
生物
Middle School Math Sim Alignment 此貢獻是由 PhET 所作之設計 Amanda McGarry 國中 其它 數學
How do PhET simulations fit in my middle school program? 此貢獻是由 PhET 所作之設計 Sarah Borenstein 國中 其它 地球科學
化學
生物
物理
Plinko Probability for Long-Run Frequencies Kelly Findley 國中 指引 數學
Quais são as possibilidades? Dina Séfora Santana Menezes Lima e Maria Cleide da Silva Barroso K-5 實驗室 數學
Atividade com objeto de aprendizagem do Phet Renato Tavarez 高中 指引 數學

語言 下載或執行 提示
Norwegian Bokmal 全部 Norsk bokmål Download Run now Plinko sannsynlighet
Serbian 全部 Српски Download Run now Расподела вероватноће (Галтонова кутија)
丹麥語 全部 Dansk Download Run now Plinko-sandsynlighed
巴斯克語 全部 Euskara Download Run now Plinko Probabilitatea
日語 全部 日本語 Download Run now 確率分布を作る
北印度語 全部 हिंदी Download Run now प्लिंको संभाव्यता 
匈牙利語 全部 magyar Download Run now Galton-deszka
西班牙語 全部 español Download Run now Probabilidad Plinko 下載教師教學提示 PDF 檔
西班牙語 (秘魯) 全部 español (Perú) Download Run now Probabilidad Plinko
西班牙語 (墨西哥) 全部 español (México) Download Run now Probabilidad Plinko 下載教師教學提示 PDF 檔
希臘語 全部 Ελληνικά Download Run now Πιθανότητες Pinko
拉脫維亞語 全部 Latviešu Download Run now Plinko varbūtība
波士尼亞語 全部 Bosanski Download Run now Plinko vjerovatnoća
波蘭語 全部 polski Download Run now Deska Galtona
法語 全部 français Download Run now Probabilité avec un plinko
俄文 全部 русский Download Run now Элементы теории вероятности
哈薩克語 全部 Kazakh Download Run now Ықтималдықтар теориясы элеменеттері
英語 全部 English Download Run now Plinko Probability
馬拉地語 全部 मराठी Download Run now प्लिन्को संभाव्यता
荷蘭語 全部 Nederlands Download Run now Galtonbord - waarschijnlijkheid
斯洛伐克語 全部 Slovenčina Download Run now Pravdepodobnosť
越南語 全部 Tiếng Việt Download Run now Xác suất Plinko
瑞典語 全部 svenska Download Run now Plinko-sannolikhet
義大利語 全部 italiano Download Run now Probabilità
葡萄牙語 (巴西) 全部 português (Brasil) Download Run now Probabilidade Plinko
蒙古語 全部 Монгол (Монгол) Download Run now Plinko магадлалын түгэлт
德語 全部 Deutsch Download Run now Plinko Nagelbrett
韓語 全部 한국어 Download Run now 플린코 확률
簡體中文 全部 中文 (中国) Download Run now 二项分布弹珠台几率

The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 11+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

設計團隊 第三方諮詢 感謝
  • Martin Veillette (developer)
  • Denzell Barnett (developer)
  • Chris Malley (developer)
  • Guillermo Ramos-Macias (developer)
  • Amanda McGarry (lead designer)
  • Michael Dubson (original designer)
  • Karina K. Hensberry
  • Trish Loeblein
  • Ariel Paul
  • Kathy Perkins
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