Stats- MATH GYM
If you were not as successful as you would have liked on a specific learning target from a quiz, you can sign up to hit the Math Gym and practice that learning target through Khan Academy. In doing so, you earn an 80% on that learning target.
Steps
1) In order to be eligible for quiz corrections via math gym, you first need to have corrected all the mistakes for that section on the actual quiz you took in class. That makes you eligible for math gym and the eventually 80%.
2) Scroll down below to see all our learning targets. Then click on the one you wish to practice. Once you are successful, either take a picture with your phone or print out the page (make sure you get the whole screen, especially the title of the skill). Show this to me, along with your quiz corrections from step 1, at the end of the next class period.
Steps
1) In order to be eligible for quiz corrections via math gym, you first need to have corrected all the mistakes for that section on the actual quiz you took in class. That makes you eligible for math gym and the eventually 80%.
2) Scroll down below to see all our learning targets. Then click on the one you wish to practice. Once you are successful, either take a picture with your phone or print out the page (make sure you get the whole screen, especially the title of the skill). Show this to me, along with your quiz corrections from step 1, at the end of the next class period.
WARNING: unless you are working on a personal computer (and even then), I recommend creating a Khan Academy account and signing in before completing any Math Gym practice. This saves your progress and avoids some bugs.
The email address you should use is the same one as your school email (mine would be [email protected] if I were a student) and the same password that you use for PowerSchool.
Click on the links (highlighted in blue or green) for a learning target practice in Khan Academy.
Learning Target Guide
***Khan and other online platforms do not have many interactive question modules for statistics, so many of these are videos that you will watch, take notes on, and then come in and show me to ask for a make-up question.
Learning Target
“I can…”
1.1/1.2 identify the difference between population and sample, qualitative and quantitative, as well as parameter vs statistic (watch the video here, answer the questions to Problem 1 here, take notes, and then see Mr. C)
1.3 identify the different between experimental and observation studies as well as the types of sampling techniques (complete the problems in each excerpt and take notes Excerpt 1 Excerpt 2 )
2.1 construct and interpret histograms
2.2 construct and interpret stem and leaf plots, dot plots, pie charts, scatterplots and time series
2.3 find the mean, median and mode (as well as weighted mean: watch video and take notes) and identify skewness in distributions
2.4a find the range and sample/population standard deviation
2.4b use the Empirical Rule and Chebyshev’s Theorem (watch video and take notes) to state portion of data within a set amount of standard deviations from the mean
2.5a create box plots, identify outliers using 1.5*IQR and interpret percentiles (watch video and take notes)
2.5b calculate z-scores
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3.1a use the fundamental counting principle and tree diagram (just video, take notes) to determine sample space and probability of events
3.1b distinguish between classical (just video, take notes) and empirical probability and calculate the probability of the complement of an event (just video, take notes)
3.2 calculate conditional probabilities and use it to determine if events are independent
3.3 use the addition rule to calculate probabilities
3.4 calculate permutations, combinations and decide when to use each. (need to do all 3 links)
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4.1 calculate the mean (expected value) and standard deviation of a probability distribution
4.2a find the probability of a binomial event
4.2b find the expected value and standard deviation of a binomial event
4.3 find probabilities of geometric and Poisson distributions (first one is a Khan module you must complete, the second is a list of notes you must recopy the problems for)
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5.1 find areas under the normal curve
5.2 use a z-score to find areas under the normal curve (including between two points)
5.3 find a z-score or value if given the probability (area under the normal curve)
5.4 find mean and standard deviation of the sample means and use the Central Limit Theorem to find the z-score of a sample mean and determine if it is unusual
5.5a determine when you can use a normal distribution to approximate a binomial distribution and apply a continuity correction (sorry, no Math Gym for this one ☹)
5.5b use a normal distribution to approximate a binomial distribution (watch video, take notes and see Mr. C for a make-up problem)
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6.1 construct a confidence interval for the population mean and determine the minimum size for a specified confidence interval when sigma is known (both are videos, watch/take notes, and see Mr. C for a make-up problem)
6.2 construct a confidence interval for the population mean when sigma is not known
6.3 construct a confidence interval for the population proportion
***6.4 ***time permitting, otherwise book recommends the section can be omitted. use a chi-square distribution to construct a confidence interval for the standard deviation
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7.1a write the null and alternative hypothesis and interpret
7.1b identify type I and type II errors and interpret the level of significance
7.2 use a p-value to state if there is enough evidence to reject or fail to reject the null hypothesis for the population mean with sigma known (watch video, take notes, and see Mr. C about make-up problem)
7.3 determine the p-value and use a p-value to state if there is enough evidence to reject or fail to reject the null hypothesis for the population mean with sigma unknown (must do both modules)
7.4 determine the p-value and use a p-value to state if there is enough evidence to reject or fail to reject the null hypothesis for the population proportion (must do both modules)
***7.5 ***time permitting, otherwise book recommends the section can be omitted. use a chi-square test to test if there is enough evidence to reject or fail to reject the null hypothesis for the population variance/standard deviation
***Khan and other online platforms do not have many interactive question modules for statistics, so many of these are videos that you will watch, take notes on, and then come in and show me to ask for a make-up question.
Learning Target
“I can…”
1.1/1.2 identify the difference between population and sample, qualitative and quantitative, as well as parameter vs statistic (watch the video here, answer the questions to Problem 1 here, take notes, and then see Mr. C)
1.3 identify the different between experimental and observation studies as well as the types of sampling techniques (complete the problems in each excerpt and take notes Excerpt 1 Excerpt 2 )
2.1 construct and interpret histograms
2.2 construct and interpret stem and leaf plots, dot plots, pie charts, scatterplots and time series
2.3 find the mean, median and mode (as well as weighted mean: watch video and take notes) and identify skewness in distributions
2.4a find the range and sample/population standard deviation
2.4b use the Empirical Rule and Chebyshev’s Theorem (watch video and take notes) to state portion of data within a set amount of standard deviations from the mean
2.5a create box plots, identify outliers using 1.5*IQR and interpret percentiles (watch video and take notes)
2.5b calculate z-scores
---------------------------------------------------------------------------------------------------------------------------------
3.1a use the fundamental counting principle and tree diagram (just video, take notes) to determine sample space and probability of events
3.1b distinguish between classical (just video, take notes) and empirical probability and calculate the probability of the complement of an event (just video, take notes)
3.2 calculate conditional probabilities and use it to determine if events are independent
3.3 use the addition rule to calculate probabilities
3.4 calculate permutations, combinations and decide when to use each. (need to do all 3 links)
---------------------------------------------------------------------------------------------------------------------------------
4.1 calculate the mean (expected value) and standard deviation of a probability distribution
4.2a find the probability of a binomial event
4.2b find the expected value and standard deviation of a binomial event
4.3 find probabilities of geometric and Poisson distributions (first one is a Khan module you must complete, the second is a list of notes you must recopy the problems for)
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5.1 find areas under the normal curve
5.2 use a z-score to find areas under the normal curve (including between two points)
5.3 find a z-score or value if given the probability (area under the normal curve)
5.4 find mean and standard deviation of the sample means and use the Central Limit Theorem to find the z-score of a sample mean and determine if it is unusual
5.5a determine when you can use a normal distribution to approximate a binomial distribution and apply a continuity correction (sorry, no Math Gym for this one ☹)
5.5b use a normal distribution to approximate a binomial distribution (watch video, take notes and see Mr. C for a make-up problem)
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6.1 construct a confidence interval for the population mean and determine the minimum size for a specified confidence interval when sigma is known (both are videos, watch/take notes, and see Mr. C for a make-up problem)
6.2 construct a confidence interval for the population mean when sigma is not known
6.3 construct a confidence interval for the population proportion
***6.4 ***time permitting, otherwise book recommends the section can be omitted. use a chi-square distribution to construct a confidence interval for the standard deviation
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7.1a write the null and alternative hypothesis and interpret
7.1b identify type I and type II errors and interpret the level of significance
7.2 use a p-value to state if there is enough evidence to reject or fail to reject the null hypothesis for the population mean with sigma known (watch video, take notes, and see Mr. C about make-up problem)
7.3 determine the p-value and use a p-value to state if there is enough evidence to reject or fail to reject the null hypothesis for the population mean with sigma unknown (must do both modules)
7.4 determine the p-value and use a p-value to state if there is enough evidence to reject or fail to reject the null hypothesis for the population proportion (must do both modules)
***7.5 ***time permitting, otherwise book recommends the section can be omitted. use a chi-square test to test if there is enough evidence to reject or fail to reject the null hypothesis for the population variance/standard deviation