In this activity, students will learn how to actually triangulate using a …
In this activity, students will learn how to actually triangulate using a compass, topographical (topo) map and view of outside landmarks. It is best if a field trip to another location away from school is selected. The location should have easily discernable landmarks (like mountains or radio towers) and changes in elevation (to illustrate the topographical features) to enhance the activity. A national park is an ideal location, and visiting a number of parks, especially parks with hiking trails, is especially beneficial.
Students learn about tornadoes, the damage they cause, and how to rate …
Students learn about tornadoes, the damage they cause, and how to rate tornadoes. Specifically, students investigate the Enhanced Fujita Damage Scale of tornado intensity, and use it to complete a mock engineering analysis of damage caused by a tornado. Additional consideration is given to tornado warning systems and how these systems can be improved to be safer. Lastly, students learn basic tornado safety procedures.
Students will analyze data of tornadoes throughout the United States. They will …
Students will analyze data of tornadoes throughout the United States. They will create a bar graph of the number of tornadoes for the top ten states in the country and then calculate the median and the mode of the data.
Parts (a) and (b) of the task ask students to find the …
Parts (a) and (b) of the task ask students to find the unit rates that one can compute in this context. Part (b) does not specify whether the units should be laps or km, so answers can be expressed using either one.
Students simulate the spread of a virus such as HIV through a …
Students simulate the spread of a virus such as HIV through a population by "sharing" (but not drinking) the water in a plastic cup with several classmates. Although invisible, the water in a few of the cups has already be tainted with the "virus" (sodium carbonate). After all the students have shared their liquids, the contents of the cups are tested for the virus with phenolphthalein, a chemical that causes a striking color change in the presence of sodium carbonate. Students then set about trying to determine which of their classmates were the ones originally infected with the virus.
This task, while involving relatively simple arithmetic, codes to all three standards …
This task, while involving relatively simple arithmetic, codes to all three standards in this cluster, and also offers students a good opportunity to practice modeling (MP4), since they must attempt to make reasonable assumptions about the average length of vehicles in the traffic jam and the space between vehicles. Teachers can encourage students to compare their solutions with other students.
It is much easier to visualize division of fraction problems with contexts …
It is much easier to visualize division of fraction problems with contexts where the quantities involved are continuous. It makes sense to talk about a fraction of an hour. The context suggests a linear diagram, so this is a good opportunity for students to draw a number line or a double number line to solve the problem.
This task examines, in a graphical setting, the impact of adding a …
This task examines, in a graphical setting, the impact of adding a scalar, multiplying by a scalar, and making a linear substitution of variables on the graph of a function f. The setting here is abstract as there is no formula for the function f. The focus is therefore on understanding the geometric impact of these three operations.
Students collect, categorize, weigh and analyze classroom solid waste. The class collects …
Students collect, categorize, weigh and analyze classroom solid waste. The class collects waste for a week and then student groups spend a day sorting and analyzing the garbage with respect to recyclable and non-recyclable items. They discuss ways that engineers have helped to reduce the accumulation of solid waste.
Student teams use the engineering design process to create a useful product …
Student teams use the engineering design process to create a useful product of their choice out of recyclable items and "trash." The class is given a "landfill" of reusable items, such as aluminum cans, cardboard, paper, juice boxes, chip bags, egg cartons, milk cartons, etc., and each group is allowed a limited amount of bonding materials, such as duct tape, hot glue and string. This activity addresses the importance of reuse and encourages students to look at ways they can reuse items they would otherwise throw away.
This textbook represents the combined insight and experience of Morton, a k12 …
This textbook represents the combined insight and experience of Morton, a k12 educator, and Berardi, a psychotherapist, both of whom are also university educators with extensive work experience serving districts and their teachers seeking to incorporate trauma-informed principles into their school culture and classroom. The authors identify that the field of education is now ready to deepen its level of response to the paradigm shift created by advances in neuroscience and traumatology. Hence, the primary focus is on identifying and applying trauma-informed educator competencies needed to transform districts, schools, educators, classrooms, and the field of education itself, while also including community members such as parents and board members in these processes - a total system makeover. At the conclusion of this text, the student, educator, or mental health professional will have a deeper understanding of what trauma-informed practice requires of them. This includes practical strategies on how to transform our learning communities in response to the devastating effect of unmitigated stress and trauma on our student's ability to learn and thrive throughout the lifespan.
Students explore how sound waves move through liquids, solids and gases in …
Students explore how sound waves move through liquids, solids and gases in a series of simple sound energy experiments. Understanding the properties of sound and how sound waves travel helps engineers determine the best room shape and construction materials when designing sound recording studios, classrooms, libraries, concert halls and theatres.
This task gives students a chance to explore several issues relating to …
This task gives students a chance to explore several issues relating to rigid motions of the plane and triangle congruence. As an instructional task, it can help students build up their understanding of the relationship between rigid motions and congruence.
The purpose of this task is to emphasize the adjective "geometric" in …
The purpose of this task is to emphasize the adjective "geometric" in the "geometric" series, namely, that the algebraic notion of a common ratio between terms corresponds to the geometric notion of a repeated similarity transformation.
Students learn about the fundamental strength of different shapes, illustrating why structural …
Students learn about the fundamental strength of different shapes, illustrating why structural engineers continue to use the triangle as the structural shape of choice. Examples from everyday life are introduced to show how this shape is consistently used for structural strength. Along with its associated activity, this lesson empowers students to explore the strength of trusses made with different triangular elements to evaluate the various structural properties.
This task provides a good opportunity for group work and class discussions …
This task provides a good opportunity for group work and class discussions where students generate and compare equivalent expressions. In class discussion, students should be asked to connect the terms of an expression with quantities shown in the diagram.
In this task students must investigate this conjecture to discover that it …
In this task students must investigate this conjecture to discover that it does not work in all cases: Pick any two integers. Look at the sum of their squares, the difference of their squares, and twice the product of the two integers you chose. Those three numbers are the sides of a right triangle.
Students learn how to identify the major features in a topographical map. …
Students learn how to identify the major features in a topographical map. They learn that maps come in a variety of forms: city maps, road maps, nautical maps, topographical maps, and many others. Map features reflect the intended use. For example, a state map shows cities, major roads, national parks, county lines, etc. A city map shows streets and major landmarks for that city, such as hospitals and parks. Topographical maps help navigate the wilderness by showing the elevation, mountains, peaks, rivers and trails.
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