This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This course focuses on reading a script theatrically with a view to mounting a coherent production. Through careful, intensive reading of a variety of plays from different periods and different aesthetics, a pattern emerges for discerning what options exist for interpretating a script. The Fall 2005 version of this course contains alternate readings and assignments sections.

Students employ the full engineering design process to research and design prototypes that could be used to solve the loss of sea turtle life during a hurricane. During Hurricane Irma, Florida lost a large proportion of its sea turtle nests. Protecting these nests from natural disasters or even human influence is an essential component of conservation in Florida, since only one hatchling in every thousand survives to adulthood. In this activity, students learn about sea turtle nesting behaviors and environmental impacts of hurricanes. Students work collaboratively to build structures that could protect a single sea turtle nest, or an entire beach, in the event of a hurricane or other similar weather disaster. Then, students present their solutions to concerned stakeholders. As an optional extension, students can build prototypes using 3D printers or 3D pens.

Students embark on a scavenger hunt around the school looking for indoor air pollution and mapping source locations.

Student teams are challenged to evaluate the design of several liquid soaps to answer the question, “Which soap is the best?” Through two simple teacher class demonstrations and the activity investigation, students learn about surface tension and how it is measured, the properties of surfactants (soaps), and how surfactants change the surface properties of liquids. As they evaluate the engineering design of real-world products (different liquid dish washing soap brands), students see the range of design constraints such as cost, reliability, effectiveness and environmental impact. By investigating the critical micelle concentration of various soaps, students determine which requires less volume to be an effective cleaning agent, factors related to both the cost and environmental impact of the surfactant. By investigating the minimum surface tension of the soap, students determine which dissolves dirt and oil most effectively and thus cleans with the least effort. Students evaluate these competing criteria and make their own determination as to which of five liquid soaps make the “best” soap, giving their own evidence and scientific reasoning. They make the connection between gathered data and the real-world experience in using these liquid soaps.

Cryptids, creatures of questionable existence, are used as a source of data to guide students into the creation of their own GIS data layer in Google Earth. The activity serves the purpose of a tutorial to teach students how to make data layers with a simple subject. Then they use that skill on other topics such as plastics in their neighborhood.

Description:

Build a model of the Earth, with its spin-axis, and a lamp as the Sun to demonstrate the concept of seasons.

Goals

--Understanding why we have seasons and the cause of seasonal variation in temperature.
--Learning about how the Earth rotates on a tilted axis compared to its orbit around the Sun.

Learning Objectives

--Students learn about seasons by building a model of the Earth and the Sun, and investigating how sunlight hits the Northern and Southern Hemispheres during different seasons.
--Students explain that the same amount of light hitting the ground heats up a small area more than a large area
--Students show that the angle at which the sunlight hits the Earth influences how much the sunlight heats up the Earth.
Students demonstrate that the angle at which the sunlight hits the Earth is related to the tilt of the Earth’s rotational axis compared to the Earth’s orbit around the Sun.

This art history video discussion looks at "The Seated Scribe"‚ c. 2620-2500 B.C.E., c. 4th Dynasty, Old Kingdom, painted limestone with rock crystal, magnesite, and copper/arsenic inlay for the eyes and wood for the nipples, found in Saqqara (Musee du Louvre, Paris).

In this lesson, students learn about major landforms (e.g., mountains, rivers, plains, valleys, canyons and plateaus) and how they occur on the Earth's surface. They learn about the civil and geotechnical engineering applications of geology and landforms, including the design of transportation systems, mining, mapping and measuring natural hazards.

The Ku Klux Klan (KKK) is a historically violent American organization that has operated in three periods to promote white supremacy and white nationalism and resist immigration. Founded after the Civil War as a secret society by Confederate generals, the First Klan’s primary focus was subverting Republican Reconstruction policies and preventing emancipated African Americans from receiving the benefits of citizenship. Despite its success disrupting black political participation through threats and actual violence, federal government efforts to suppress the Klan in 1870-1871 forced in a major decline in its activities.

In this task students use ratio and rate reasoning to solve the real-world problem of placing a security camara in a shop.

Students apply everything they have learned about light properties and laser technologies to designing, constructing and presenting laser-based security systems that protect the school's mummified troll. In the associated activity, students "test their mettle" by constructing their security system using a PVC pipe frame, lasers and mirrors. In the lesson, students "go public" by creating informational presentations that explain their systems, and serve as embedded assessment, testing each student's understanding of light properties.

Survey of the important aspects of modern sediments and ancient sedimentary rocks. Emphasis is on fundamental materials, features, and processes. Textures of siliciclastic sediments and sedimentary rocks: particle size, particle shape, and particle packing. Mechanics of sediment transport. Survey of siliciclastic sedimentary rocks: sandstones, conglomerates, and shales. Carbonate sediments and sedimentary rocks; cherts; evaporites. Siliciclastic and carbonate diagenesis. Paleontology, with special reference to fossils in sedimentary rocks. Modern and ancient depositional environments. Stratigraphy. Sedimentary basins. Fossil fuels: coal, petroleum.

Students learn how to create two-dimensional representations of three-dimensional objects by utilizing orthographic projection techniques. They build shapes using cube blocks and then draw orthographic and isometric views of those shapes—which are the side views, such as top, front, right—with no depth indicated. Then working in pairs, one blindfolded partner describes a shape by feel alone as the other partner draws what is described. A worksheet is provided. This activity is part of a multi-activity series towards improving spatial visualization skills.

The purpose of this task is to identify the structure in the two algebraic expressions by interpreting them in terms of a geometric context. Students will have likely seen this type of process before, so the principal source of challenge in this task is to encourage a multitude and variety of approaches, both in terms of the geometric argument and in terms of the algebraic manipulation.

Students examine the existence of sound by listening to and seeing sound waves while conducting a set of simple activities as a class or in pairs at stations. Students describe sound in terms of its pitch, volume and frequency. They use this knowledge to discuss how engineers study sound waves to help people who cannot hear or talk.

The purpose of this task is to help students see that 4_(9+2) is four times as big as (9+2). Though this task may seem very simple, it provides students and teachers with a very useful visual for interpreting an expression without evaluating it.

Students participate in a variety of activities modeling different disabilities. They gain a better understanding of physical limitations while performing tasks at workstations without the use of their thumbs (taped down), impaired vision (various glasses) and impaired mobility (using crutches and wheelchairs). After discussing their experiences, they work in teams to create or improve on an adaptive device. Like biomedical engineers, students are challenged to design with the purpose of helping make a particular task easier for another person.

Through this concluding lesson and its associated activity, students experience one valuable and often overlooked skill of successful scientists and engineers communicating your work and ideas. They explore the importance of scientific communication, including the basic, essential elements of communicating new information to the public and pitfalls to avoid. In the associated activity, student groups create posters depicting their solutions to the unit's challenge question accurate, efficient methods for detecting cancer-causing genes using optical biosensors which includes providing a specific example with relevant equations. Students are also individually assessed on their understanding of refraction via a short quiz. This lesson and its associated activity conclude the unit and serve as the culminating Go Public phase of the Legacy Cycle, providing unit review and summative assessment.