二項分佈彈珠台機率

二項分佈彈珠台機率 螢幕截圖  下載  嵌入
  • Probability
  • Histograms
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標題

  • Probability
  • 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

Standards Alignment

Common Core - Math

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 2.02

老師提供的活動

Probability Plinko A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. beki toussaint 高中 實驗室 數學
Alignment of PhET sims with NGSS 此貢獻是由 PhET 所作之設計 Trish Loeblein 高中 其它 地球科學
物理
生物
化學
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
物理
化學
生物
CCSS Math Alignment with Sims 此貢獻是由 PhET 所作之設計 Amanda McGarry K-5
國中
高中
其它 數學
MS and HS TEK to Sim Alignment Elyse Zimmer 高中
國中
其它 化學
物理
生物
플린코 확률 SIM 사용설명서 이화국(Wha Kuk Lee) 國中
高中
概念問題
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語言 下載或執行 Tips
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哈薩克語 All Kazakh Download Run now Пинконын Мүмкіндік
英語 All English Download Run now Plinko Probability
馬其頓語 All македонски Download Run now Распределба на веројатност
荷蘭語 All Nederlands Download Run now Knikkerspel en waarschijnlijkheidsverdeling
斯洛伐克文 All Slovenčina Download Run now Pravdepodobnosť
越南語 All Tiếng Việt Download Run now Xác suất Plinko
塞爾維亞文 All Српски Download Run now РАСПОДЕЛА ВЕРОВАТНОЋЕ
愛沙尼亞語 All Eesti Download Run now Plinko tõenäosus
瑞典文 All svenska Download Run now Plinko sannolikhet
義大利語 All italiano Download Run now Il gioco di Plinko: probabilità
葡萄牙文 (巴西) All português (Brasil) Download Run now Probabilidade Plinko
德語 All Deutsch Download Run now Binomialverteilung am Plinkobrett
韓語 All 한국어 Download Run now 플린코 확률
簡體中文 All 中文 (中国) Download Run now 二项分布弹珠台机率

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設計團隊 第三方諮詢 感謝
  • Michael Dubson (developer/lead)