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Instructional Video11:27
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\n\"The\n\n
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\nCrash Course\n
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\nThe Normal Distribution: Crash Course Statistics #19\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nIt's normal to want to learn about normal distribution. The 19th installment of the Crash Course Statistics series focuses on how means of sample distributions show a normal distribution. It looks at the Central Limit Theorem and also...\n
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AP Test Prep
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\n\"Sampling\n\n
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\nCollege Board\n
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\nSampling Distributions\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nThe validity of data depends on the strength of the sample. A collection of instruction and activities focuses on sampling distributions and the analysis of that data. Scholars learn about distribution tests such and Central Limit...\n
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Lesson Plan
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\n\"Life\n\n
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\nK20 LEARN\n
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\nLife is a Bell Curve\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nCentral to the idea of statistics is the central limit theorem. Scholars play an online Deadly Distribution game to discover the nature of statistics. Along the way, they learn about sample size, random sampling, distribution, and the...\n
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Lesson Plan
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\n\"Experiments\n\n
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\nEngageNY\n
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\nExperiments with Inscribed Angles\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nRight angles, acute angles, obtuse angles, central angles, inscribed angles: how many types of angles are there? Learners first investigate definitions of inscribed angles, central angles, and intercepted arcs. The majority of the...\n
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Unit Plan
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\n\"Are\n\n
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\nRadford University\n
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\nAre Kitchen Cabinets at the Correct Height? Lessons 1-5\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHere's a not-so-normal unit on normal heights. Future statisticians anonymously collect class data on female heights, weights, and shoe sizes. They then analyze the data using normal distributions, z-scores, percentiles, and the...\n
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Assessment
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\n\"Hopewell\n\n
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\nInside Mathematics\n
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\nHopewell Geometry\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nThe Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...\n
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Unit Plan
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\n\"Module\n\n
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\nMathematics Vision Project\n
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\nModule 5: Circles A Geometric Perspective\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nCircles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...\n
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AP Test Prep
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\n\"Differentiability\n\n
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\nCollege Board\n
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\nDifferentiability of Piecewise Defined Functions\n

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\nDifferentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...\n
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AP Test Prep
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\n\"Why\n\n
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\nCollege Board\n
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\nWhy Variances Add - And Why It Matters\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nWhy is adding variance important? A lesson outline defines a variance theorem and how it affects the data statistics. The instruction shows scholars the importance of considering the variance of data and why it requires independence.\n
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Worksheet
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\n\"Discussion\n\n
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\nCurated OER\n
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\nDiscussion Sheet 2: Domain and Range\n

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\nIn this domain and range worksheet, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page worksheet contains...\n
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Lesson Plan
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\n\"Who\n\n
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\nStatistics Education Web\n
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\nWho Sends the Most Text Messages?\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nThe way you use statistics can tell different stories about the same set of data. Here, learners use sets of data to determine which person sends the most text messages. They use random sampling to collect their data and calculate a...\n
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Lesson Plan
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\n\"The\n\n
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\nStatistics Education Web\n
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\nThe Egg Roulette Game\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHard boiled or raw? Which egg will you get? A hands-on activity has scholars explore the impact of conditional probability. Based on a skit from the Tonight Show, pupils model the selection of the two types of eggs using beads. They...\n
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Lesson Plan
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\n\"Sampling\n\n
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\nCurated OER\n
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\nSampling Distributions\n

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\nStudents analyze sampling from different population. In this statistics lesson, students define the meaning of sample sizes and what causes an increase or decrease. They graph their data on the Ti calculator and draw conclusion from the...\n
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Unit Plan
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\n\"Circles:\n\n
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\nMathematics Vision Project\n
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\nCircles: A Geometric Perspective\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nCircles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...\n
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\n\"Embracing\n\n
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\nCurated OER\n
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\nEmbracing Diversity\n

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\nNinth graders discover that the amount surveyed affects the results and conclusions drawn from a survey. In this sampling lesson students explore the concept that a valid conclusion require a large number of entries.  Students...\n
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Lesson Plan
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\n\"Sampling\n\n
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\nCurated OER\n
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\nSampling Distribution of Sample Means\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nYoung scholars collect data and crate a distribution sample. In this statistics lesson, students compare and contrast their collected data. This assignment requires the young scholars to be comfortable with navigating the internet.\n \n
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\n\"Cosmic\n\n
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\nAlabama Learning Exchange\n
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\nCosmic Measurements\n

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\n\nFor Teachers\n\n7th - 12th\n\nStandards\n
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\nLearners develop two units of measurement to relate to the astronomical unit and the light year. In this astronomy lesson, students use a Twizzler to develop a measurement unit similar to the astronomical unit. They use a moving object,...\n
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Handout
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\n\"Statistical\n\n
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\nOther\n
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\nStatistical Engineering: Central Limit Theorem: Summary\n

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\n\nFor Students\n\n9th - 10th\n
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\nThe Central Limit Theorem is the foundation for many statistical procedures since the distribution of the situation being studied does not have to be normal. Here is found a complete explanation of the CLT and graphs supporting the...\n
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Lesson Plan
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\n\"Serc:\n\n
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\nScience Education Resource Center at Carleton College\n
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\nSerc: Seeing and Describing the Predictable Pattern: The Central Limit Theorem\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nA learning activity where young scholars are guided into discovering the Central Limit Theorem. As they explore sampling distributions, they will identify predictable patterns which can be described with this mathematical theorem....\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Inferential Statistics: Central Limit Theorem\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo explains the central limit theorem and gives examples and visuals to illustrate it. [9:49]\n
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Unit Plan
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\n\"Ck\n\n
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\nCK-12 Foundation\n
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\nCk 12: Statistics: Central Limit Theorem\n

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\n\nFor Students\n\n11th - 12th\n\nStandards\n
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\n[Free Registration/Login may be required to access all resource tools.] Introduces students to the Central Limit Theorem. Students will learn about the Central Limit Theorem and calculate a sampling distribution using the mean and...\n
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Instructional Video
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\n\"Texas\n\n
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\nTexas Education Agency\n
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\nTexas Gateway: Study Edge Statistics: Using the Central Limit Theorem\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nModels how to use the Central Limit Theorem to make predictions about a sample distribution. Includes downloadable study guide with exercises - guide also covers other topics. [7:45]\n
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Activity
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\n\"Texas\n\n
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\nTexas Instruments\n
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\nTexas Instruments: Central Limit Theorem\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nThis set contains questions regarding the Central Limit Theorem. The student sees that, as the size n increases, the shape of the sampling distribution gradually approaches a normal curve, and its population standard deviation decreases.\n
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Activity
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\n\"Texas\n\n
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\nTexas Instruments\n
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\nTexas Instruments: Introduction to the Central Limit Theorem\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nStudents have trouble understanding the Central Limit Theorem (CLT). This activity is designed to show them what the theorem is saying. The students develop repeated lists of numbers from 1 to 10 and finding the mean of each list. : We...\n
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