Students are taught to look for patterns in solving mathematical problems. Starting in the lower grades, they learn that math problems can be decomposed and recomposed without its value changing (the distributive property). In these videos, you'll see teachers demonstrating how ratios, percentages, and fractions can have very similar meanings but depending on the context, they might choose one strategy over another. Students can use this knowledge to simplify and solve more difficult mathematical problems in higher grades.

This lesson explains what categorical and quantitative data are in the context of statistics. Includes downloadable study guide with exercises - guide also covers other topics. [6:26]

To evaluate the different integumentary systems found in the animal kingdom, students conduct an exploratory research-based lab. During the activity, students create a model epidermis that contains phosphorescent powder and compare the results to a control model. After learning about the variations of integumentary systems—systems that comprise the skin and other appendages that act to protect animal bodies from damage—students act as engineers to mimic animal skin samples. Their goal is to create a skin sample that closely represents the animal they are mimicking while protecting the base ‘epidermis’ from UV light.

Explains the features of histograms, when they are useful, and the statistical vocabulary that is used when describing them. Also models how to compare and contrast distributions. Includes downloadable study guide with exercises - guide also covers other topics. [12:05]

This lab exercise exposes students to a potentially new alternative energy source hydrogen gas. Student teams are given a hydrogen generator and an oxygen generator. They balance the chemical equation for the combustion of hydrogen gas in the presence of oxygen. Then they analyze what the equation really means. Two hypotheses are given, based on what one might predict upon analyzing the chemical equation. Once students have thought about the process, they are walked through the experiment and shown how to collect the gas in different ratios. By trial and error, students determine the ideal combustion ratio. For both volume of explosion and kick generated by explosion, they qualitatively record results on a 0-4 scale. Then, students evaluate their collected results to see if the hypotheses were correct and how their results match the theoretical equation. Students learn that while hydrogen will most commonly be used for fuel cells (no combustion situation), it has been used in rocket engines (for which a tremendous combustion occurs).

Introduction to Sociology 2e adheres to the scope and sequence of a typical, one-semester introductory sociology course. It offers comprehensive coverage of core concepts, foundational scholars, and emerging theories, which are supported by a wealth of engaging learning materials. The textbook presents detailed section reviews with rich questions, discussions that help students apply their knowledge, and features that draw learners into the discipline in meaningful ways. The second edition retains the book’s conceptual organization, aligning to most courses, and has been significantly updated to reflect the latest research and provide examples most relevant to today’s students. In order to help instructors transition to the revised version, the 2e changes are described within the preface.

Differentiate between four kinds of research methods: surveys, field research, experiments, and secondary data analysis
Understand why different topics are better suited to different research approaches

Watch and listen as the assistant general manager of a major league baseball team explains how he uses math in this video from KAET, Arizona PBS. A lesson plan and handouts are included. [7:43]

This activity is a lab investigation where students gather data which compares 2 types of bubble gum, while learning to use the scientific method to collect qualitative and quantitative data using SI units.

Through an adult-led field trip, students organized into investigation teams catalogue the incidence of plastic debris in different environments. They investigate these plastics according to their type, age, location and other characteristics that might indicate what potential they have for becoming part of the Great Pacific Garbage Patch (GPGP). Students collect qualitative and quantitative data that may be used to create a Google Earth layer as part of a separate activity that can be completed at a computer lab at school or as homework. The activity is designed as a step on the way to student's creation of their own GIS Google Earth layer. It is, however, possible for the field trip to be a useful learning experience unto itself that does not require this last GIS step.

In a student-led and fairly independent fashion, data collected in the associated field trip activity are organized by student groups to create useful and informative Google Earth maps. Each team creates a map, uses that map to analyze the results, adjusts the map to include the analysis results, and then writes a brief summary of findings. Primarily, questions of fate-and-transport of plastics are are explored. If data was gathered in the field trip but the teacher does not desire to do the mapping activity, then alternative data presentation and analysis methods are suggested.

In this lesson, students see how to write a summary based on a set of data. It is 1 of 6 in the series titled "Writing a Data Summary." Includes short quiz. [4:18]