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45-45-90 Triangles

To learn the pattern of the side lengths of a 45-45-90 triangle, students complete a gallery walk, a card sort activity starting with using the Pythagorean theorem, and activity to locate if there is an error in a presented problem and if so to identify what the error is.

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Study Edge Statistics

In Statistics, students build on the mathematics knowledge and skills from Kindergarten–grade 8 and Algebra I, broadening their knowledge of variability and statistical processes. Students will study sampling and experimentation, categorical and quantitative data, probability and random variables, inference, and bivariate data. Students will connect data and statistical processes to real-world situations and extend their knowledge of data analysis (TAC §111.47(b)(3)).

This video book is brought to you by TEA and Study Edge. It may be used to teach an entire Statistics course or to supplement traditional Statistics textbooks.

This open-education-resource instructional material by TEA is licensed under a Creative Commons Attribution 4.0 International Public License in accordance with Chapter 31 of the Texas Education Code.

Please provide feedback on Study Edge's open-education-resource instructional materials.

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TEA Statistics

*Statistics* covers the scope and sequence requirements of a typical one-year statistics course. The text provides

comprehensive coverage of statistical concepts, including quantitative examples, collaborative activities, and practical

applications. *Statistics* was designed to meet and exceed the requirements of the relevant Texas Essential

Knowledge and Skills (TEKS), while allowing significant flexibility for instructors. Content requirements for *Statistics* are prescribed in “Chapter 111. Texas Essential Knowledge and Skills for Mathematics, Subchapter C. High School, 111.47. Statistics, Adopted 2015” (http://ritter.tea.state.tx.us/rules/tac/chapter111/ch111c.html#111.47).

This open-education-resource instructional material by TEA is licensed under a Creative Commons Attribution 4.0 International Public License in accordance with Chapter 31 of the Texas Education Code.

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2.07 Lurking and Confounding Variables

In this video, students learn the difference between lurking and confounding variables and how they affect results.

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2.08 Generalizability of Results and Conclusions

In this video, students learn how to interpret results and draw conclusions based on them.

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6.01 Probability and the Law of Large Numbers

In this video, students are introduced to the concept of probability using the Law of Large Numbers.

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6.02 Probability Terminology

In this video, students learn key terminology associated with probability.

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6.03 Venn Diagrams

In this video, students represent and calculate probabilities using Venn diagrams.

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6.04 Independent and Mutually Exclusive Events

In this video, students calculate probabilities for independent events and mutually exclusive events.

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6.05 Contingency Tables

In this video, students calculate probabilities using a two-way contingency table.

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6.06 Tree Diagrams

In this video, students calculate conditional probabilities using a tree diagram.

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6.07 Discrete Random Variables

In this video, students are introduced to discrete random variables.

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6.08 The Binomial Distribution

In this videos, students use the binomial distribution to find the expected value, variance, and probabilities associated with a binomial random variable.

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6.09 Binomial Approximation

In this videos, students approximate the binomial distribution with the normal distribution for large samples.

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Drawing Conclusions about Three-Dimensional Figures from Nets

Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.

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5.01 Measuring Center of a Distribution

In this video. students will learn three measurements of center, calculate those measurements, and compare the mean and median of data sets.

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5.02 Measuring Spread of a Distribution

In this video, students will learn four measurements of spread, and calculate them by hand and on a calculator for several data sets.

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5.03 Outliers

In this video, we will see how outliers affect data sets and measures of center and spread.

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5.04 Visualizing and Transforming Data: Implications for Mean and Standard Deviation

In this video, we will observe how the mean and standard deviation change based on different values in a data set.

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5.05 Introduction to the Empirical Rule

In this video, we introduce the normal distribution and the empirical rule.