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Binomial Distribution Teacher Resources
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Using graphs and colorful annotations, Sal makes probability a thrill to behold in this video about binomial distribution. He takes students through additional practice so that they can "get the hang of the binomial distribution" before he begins to teach about normal distribution.
After watching Sal lead up to the finer points of probability in the previous videos, students get a chance to see him grapple with some truly complex problems. He shows viewers how to see these problems as "intuitive" by giving the answer first, and then demonstrating how he arrived there.
In this binomial distribution activity, students explore real-life situations and the probability of a given outcome. They use probability distribution to organize data and arrive at the predicted results. This one-page activity contains 3 multi-step problems. Statistics to compile data are given at cited websites.
If your students watch only one video on probability, make it this one. Sal's expertise is evident in the way he integrates the concepts from the previous videos, such as discrete and continuous probability distributions, as well as the way he introduces binomial distribution. Students who struggle with the more nuanced parts of probability will walk away from this video with new understanding.
Students explore the concept of poison distributions. In this poison distribution lesson, students construct poison distributions by surveying the number of cars that pass a point in a specific amount of time. Students find poison distributions of telephone calls and customers in the post office within a given amount of time.
Students review previous lessons on mean, variance, standard deviation, and expected value. They utlize formulas for these characteristics that are specifically designed for the binomial distribution. Students discuss the similarities and differences between the formulas for finding the mean, variance and standard deviation for any discrete probability function and for binomial distributions.
Learners review basic probability concepts and examine the binomial probablity distribution. Using the binomial distribution, they identify and explain the criteria that must be satisfied to use it. They practice solving problems with the formula and calculate the mean, variance and standard deviation.
A week's worth of teaching on the Binomial Theorem. Lesson examples and a plethora of worksheets included. Learners find coefficients of specific terms within binomial expansions using notation of factorials and then apply these skills in using the Binomial Theorem to find solutions to practical applications.
Sal's lesson begins with a word problem about the number of cars that pass by a certain point at any given time. Using (and explaining) the Poisson Process, Sal outlines the necessary assumptions and "mathematical tools" to solve this problem, which he continues in the next video.
In this statistical process control worksheet, students solve and complete 15 various types of problems. First, they estimate the standard deviation of the given process. Then, students use the target value as a center line and draw a control chart that plots the means. They also, determine the probability of an occurring process on target.
Eleventh graders investigate binomial probabilities. In this Algebra II lesson plan, 11th graders conduct a hand-on experiment of rolling a die and keeping track of the numbers of successes and failures. They then simulate the experiment using the TI-nspire handheld and compare experimental probability to theoretical probability.
Students experiment and compare results of two populations. In this men and women populations lesson, students examine the difference in hand span for men and women. Students calculate a norm based on their results. Students complete additional problems to find the norm.
Students investigate normal probability distribution. In this Algebra II/Statistics and Probability lesson, students explore the area under the normal curve between various x-values and determine what percent of the area lies within 1, 2, and 3 standard deviations of the mean. Students apply this data to answer question about an orange crop with normally distributed weights.