This lesson unit is intended to help you assess how well students are able to: Calculate the mean, median, mode, and range from a frequency chart; and to use a frequency chart to describe a possible data set, given information on the mean, median, mode, and range.

The intent of clarifying statements is to provide additional guidance for educators to communicate the intent of the standard to support the future development of curricular resources and assessments aligned to the 2021 math standards.  Clarifying statements can be in the form of succinct sentences or paragraphs that attend to one of four types of clarifications: (1) Student Experiences; (2) Examples; (3) Boundaries; and (4) Connection to Math Practices.

Students further their understanding of the engineering design process (EDP) while being introduced to assistive technology devices and biomedical engineering. They are given a fictional client statement and are tasked to follow the steps of the EDP to design and build small-scale, off-road wheelchair prototypes. As part of the EDP, students identify appropriate materials and demonstrate two methods of representing solutions to their design problem (scale drawings and simple scale models). They test the scale model off-road wheelchairs using spring scales to pull the prototypes across three different simulated off-road surfaces.

In this activity, students will learn how water can be polluted by algal blooms. They will grow algae with different concentrations of fertilizer or nutrients and analyze their results as environmental engineers working to protect a local water resource.

In this video from Cyberchase, the CyberSquad helps Ms. Fileshare realize that Hacker has been deceiving her as they take a look at the scale of a bar graph.

In this task sutdents use a dotplot, histogram or boxplot to summarize data.

Students use engineering design principles to construct and test a fully solar powered model car. Several options exist, though we recommend the "Junior Solar Sprint" (JSS) Car Kits that can be purchased with direction from the federal government. Using the JSS kit from Solar World, students are provided with a photovoltaic panel that produces ~3V at ~3W. An optional accessory kit also from Solar World includes wheels, axles and drive gears. A chassis must be built additionally. Balsa wood provides an excellent option though many others are available. The testing of the solar car culminates in a solar race between classmates.

Students use a spring scale to drag an object such as a ceramic coffee cup along a table top or the floor. The spring scale allows them to measure the frictional force that exists between the moving cup and the surface it slides on. By modifying the bottom surface of the cup, students find out what kinds of surfaces generate more or less friction.

Students learn why shock absorbers are necessary on vehicles, how they dampen the action of springs, and what factors determine the amount of dampening. They conduct an experiment to determine the effect of spring strength and port diameter on the effectiveness of a shock absorber. Using a syringe, a set of springs, and liquids of different viscosities, students determine the effects of changing pressures and liquids on the action of a model shock absorber. They analyze their data through the lens of an engineer.

Civil engineers design structures such as buildings, dams, highways and bridges. Student teams explore the field of engineering by making bridges using spaghetti as their primary building material. Then they test their bridges to see how much weight they can carry before breaking.

Students learn about the strength of bones and methods of helping to mend fractured bones. During a class demonstration, a chicken bone is broken by applying a load until it reaches a point of failure (fracture). Then, working as biomedical engineers, students teams design their own splint or cast to help repair a fractured bone, learning about the strength of materials used.

Students are challenged to design, build and test small-scale launchers while they learn and follow the steps of the engineering design process. For the challenge, the "slingers" must be able to aim and launch Ping-Pong balls 20 feet into a goal using ordinary building materials such as tape, string, plastic spoons, film canisters, plastic cups, rubber bands and paper clips. Students first learn about defining the problem and why each step of the process is important. Teams develop solutions and determine which is the best based on design requirements. After making drawings, constructing and testing prototypes, they evaluate the results and make recommendations for potential second-generation prototypes.

Students see how different levels of surface tension affect water's ability to move. Teams "race" water droplets down tracks made of different materials, making measurements, collecting data, making calculations, graphing results and comparing to their predictions and the properties of each surface, determining which surface exhibits the highest (or lowest) level of surface tension with water. They apply their results to make engineering recommendations for real-world applications.

The airplanes unit begins with a lesson on how airplanes create lift, which involves a discussion of air pressure and how wings use Bernoulli's principle to change air pressure. Next, students explore the other three forces acting on airplanes thrust, weight and drag. Following these lessons, students learn how airplanes are controlled and use paper airplanes to demonstrate these principles. The final lessons addresses societal and technological impacts that airplanes have had on our world. Students learn about different kinds of airplanes and then design and build their own balsa wood airplanes based on what they have learned.

The CyberSquad searches for HackerŒë_í_Œ_ castle based on a survey of where town residents have last seen him in this video from Cyberchase.

In this design challenge, students learn about the Vikings from an engineering point-of-view. While investigating the history and anatomy of Viking ships, they learn how engineering solutions are shaped by the surrounding environment and availability of resources. Students apply this knowledge to design, build and test their own model Viking ships.

In this video segment from TV411, WNBA player Olympia Scott Richardson discusses her techniques for effective time management.

Students conduct a simple test to determine how many drops of each of three liquids water, rubbing alcohol, vegetable oil can be placed on a penny before spilling over. Because of their different surface tensions, more water can be piled on top of a penny than either of the other two liquids. However, the main point of the activity is for students to come up with an explanation for their observations about the different amounts of liquids a penny can hold. To do this, they create hypotheses that explain their observations, and because middle school students are not likely to have prior knowledge of the property of surface tension, their hypotheses are not likely to include this idea. Then they are asked to come up with ways to test their hypotheses, although they do not need to actually conduct these tests as part of this activity.

The purpose of this activity is to demonstrate how drag affects falling objects. Students will make a variety of shapes out of paper and see how size and shape affects the speed with which their paper shapes fall.

Students learn about friction and drag two different forces that convert energy of motion to heat. Both forces can act on a moving object and decrease its velocity. Students learn examples of friction and drag, and suggest ways to reduce the impact of these forces. The equation that governs common frictional forces is introduced, and during a hands-on activity, students experimentally measure a coefficient of friction.