Family facing 6th Grade math unit focusing on area and surface area.
- Subject:
- Geometry
- Mathematics
- Material Type:
- Unit of Study
- Provider:
- Illustrative Mathematics
- Date Added:
- 07/02/2021
Family facing 6th Grade math unit focusing on area and surface area.
In this unit, students learn to find areas of polygons by decomposing, rearranging, and composing shapes. They learn to understand and use the terms “base” and “height,” and find areas of parallelograms and triangles. Students approximate areas of non-polygonal regions by polygonal regions. They represent polyhedra with nets and find their surface areas.
Student facing 6th Grade math unit focusing on area and surface area.
How does a one-way mirror work? Though most everyone knows that one-way mirrors exist, having students model how they work turns out to be a very effective way to develop their thinking about how visible light travels and how we see images. Initial student models reveal a wide variety of ideas and explanations that motivate the unit investigations that help students figure out what is going on and lead them to a deeper understanding of the world around them.
As the first unit in the OpenSciEd program, during the course of this unit, students also develop the foundation for classroom norms for collaboration that will be important across the whole program.
The goals of OpenSciEd are to ensure any science teacher, anywhere, can access and download freely available, high quality, locally adaptable full-course materials. REMOTE LEARNING GUIDE FOR THIS UNIT NOW AVAILABLE!
This unit on weather, climate, and water cycling is broken into four separate lesson sets. In the first two lesson sets, students explain small-scale storms. In the third and fourth lesson sets, students explain mesoscale weather systems and climate-level patterns of precipitation. Each of these two parts of the unit is grounded in a different anchoring phenomenon.
This unit on weather, climate, and water cycling is broken into four separate lesson sets. In the first two lesson sets, students explain small-scale storms. In the third and fourth lesson sets, students explain mesoscale weather systems and climate-level patterns of precipitation. Each of these two parts of the unit is grounded in a different anchoring phenomenon.
To pique students’ curiosity and anchor the learning for the unit in the visible and concrete, students start with an experience of observing and analyzing a bath bomb as it fizzes and eventually disappears in the water. Their observations and questions about what is going on drive learning that digs into a series of related phenomena as students iterate and improve their models depicting what happens during chemical reactions. By the end of the unit, students have a firm grasp on how to model simple molecules, know what to look for to determine if chemical reactions have occurred, and apply their knowledge to chemical reactions to show how mass is conserved when atoms are rearranged.
Students figure out that they can trace all food back to plants, including processed and synthetic food. They obtain and communicate information to explain how matter gets from living things that have died back into the system through processes done by decomposers. Students finally explain that the pieces of their food are constantly recycled between living and nonliving parts of a system.
This unit on matter cycling and photosynthesis begins with students reflecting on what they ate for breakfast. Students are prompted to consider where their food comes from and consider which breakfast items might be from plants. Then students taste a common breakfast food, maple syrup, and see that according to the label, it is 100% from a tree.
Based on the preceding unit, students argue that they know what happens to the sugar in syrup when they consume it. It is absorbed into the circulatory system and transported to cells in their body to be used for fuel. Students explore what else is in food and discover that food from plants, like bananas, peanut butter, beans, avocado, and almonds, not only have sugars but proteins and fats as well. This discovery leads them to wonder how plants are getting these food molecules and where a plant’s food comes from.
Oh, no! I’ve dropped my phone! Most of us have experienced the panic of watching our phones slip out of our hands and fall to the floor. We’ve experienced the relief of picking up an undamaged phone and the frustration of the shattered screen. This common experience anchors learning in the Contact Forces unit as students explore a variety of phenomena to figure out, “Why do things sometimes get damaged when they hit each other?”
Student questions about the factors that result in a shattered cell phone screen lead them to investigate what is really happening to any object during a collision. They make their thinking visible with free-body diagrams, mathematical models, and system models to explain the effects of relative forces, mass, speed, and energy in collisions. Students then use what they have learned about collisions to engineer something that will protect a fragile object from damage in a collision. They investigate which materials to use, gather design input from stakeholders to refine the criteria and constraints, develop micro and macro models of how their solution is working, and optimize their solution based on data from investigations. Finally, students apply what they have learned from the investigation and design to a related design problem.
This unit launches with a slow-motion video of a speaker as it plays music. In the previous unit, students developed a model of sound. This unit allows students to investigate the cause of a speaker’s vibration in addition to the effect.
Students dissect speakers to explore the inner workings, and engineer homemade cup speakers to manipulate the parts of the speaker. They identify that most speakers have the same parts–a magnet, a coil of wire, and a membrane. Students investigate each of these parts to figure out how they work together in the speaker system. Along the way, students manipulate the components (e.g. changing the strength of the magnet, number of coils, direction of current) to see how this technology can be modified and applied to a variety of contexts, like MagLev trains, junkyard magnets, and electric motors.
The United States has a long history of activists seeking social, political, economic, and other changes to Americaalong with a history of other activists trying to prevent such changes. American activism covered a wide range of causes and utilized many different forms of activism. American sociopolitical activism became especially prominent during the period of societal upheaval which began during the 1950s. The African American civil rights movement led the way, soon followed by a substantial anti-war movement opposing American involvement in the Vietnam War, and later by vigorous activism involving womens issues, gay rights, and other causes. The United States remains a land of nearly constant change, and activists play a significant role in the ongoing evolution of American democracy. It seems likely that Americans will remain enthusiastic activists in the future. This exhibition is part of the Digital Library of Georgia.
In this unit, students will become familiar with fables and trickster tales from different cultural traditions and will see how stories change when transferred orally between generations and cultures. They will learn how both types of folktales employ various animals in different ways to portray human strengths and weaknesses and to pass down wisdom from one generation to the next. Use the following lessons to introduce students to world folklore and to explore how folktales convey the perspectives of different world cultures.
In this unit, students learn about the form and function of the human heart through lecture, research and dissection. Following the steps of the Legacy Cycle, students brainstorm, research, design and present viable solutions to various heart conditions as presented through a unit challenge. Additionally, students study how heart valves work and investigate how faulty valves can be replaced with new ones through advancements in engineering and technology. This unit demonstrates to students how and why the heart is such a powerful organ in our bodies
Students engage in hands-on, true-to-life research experiences on air quality topics chosen for personal interest through a unit composed of one lesson and five associated activities. Using a project-based learning approach suitable for secondary science classrooms and low-cost air quality monitors, students gain the background and skills needed to conduct their own air quality research projects. The curriculum provides: 1) an introduction to air quality science, 2) data collection practice, 3) data analysis practice, 4) help planning and conducting a research project and 5) guidance in interpreting data and presenting research in professional poster format. The comprehensive curriculum requires no pre-requisite knowledge of air quality science or engineering. This curriculum takes advantage of low-cost, next-generation, open-source air quality monitors called Pods. These monitors were developed in a mechanical engineering lab at the University of Colorado Boulder and are used for academic research as well as education and outreach. The monitors are made available for use with this curriculum through AQ-IQ Kits that may be rented from the university by teachers. Alternatively, nearly the entire unit, including the student-directed projects, could also be completed without an air quality monitor. For example, students can design research projects that utilize existing air quality data instead of collecting their own, which is highly feasible since much data is publically available. In addition, other low-cost monitors could be used instead of the Pods. Also, the curriculum is intentionally flexible, so that the lesson and its activities can be used individually. See the Other section for details about the Pods and ideas for alternative equipment, usage without air quality monitors, and adjustments to individually teach the lesson and activities.
In the spring of 1918, the United States was embroiled in World War I, fighting alongside the English, French, and Russians against the Central Powers of Germany and Austria-Hungary. In total, 70 million men were at war on multiple fronts across Europe, Russia, the Middle East, and Northern Africa. The tide was finally turning for the Allies after a crushing offensive by German forces mere weeks earlier. Then, a fierce enemy intervenedan outbreak of influenza that would decimate entire regiments and towns, kill civilians and soldiers alike by the millions, and rapidly become a global pandemic. This disease weakened forces on both sides, changing not only the course of the war but also the economies and population stability of every affected nation. In the long term, this particular outbreak would inspire research on an unprecedented scale and lead to advances in science and medicine, forever altering our understanding of epidemiology. From the spring of 1918 to early 1919, no aspect of life remained untouched by the pandemic for Americans at home and on the front. This exhibition explores the pandemics impact on American life. This exhibition was created as part of the DPLAs Digital Curation Program by the following students as part of Dr. Joan E. Beaudoin's course "Metadata in Theory and Practice" in the School of Library and Information Science at Wayne State University: Bethany Campbell, Michelle John, Samantha Reid-Goldberg, Anne Sexton, and John Weimer.
Throughout the early twentieth century, women looked to break new ground in ways never before possible, and the sky literally became the limit. As the nation moved into the aviation age, many women saw flying as a way to break out of traditional societal roles. It gave women not just an opportunity for adventure and excitement, but a way to earn a living outside of the home that demanded respect. Aviatrix Ruth Bancroft Law described it, after defeating the cross-country distance record: "There is an indescribable feeling which one experiences in flying; it comes with no other form of sport or navigation. It takes courage and daring; one must be self-possessed, for there are moments when one's wits are tested to the full. Yet there is an exhilaration that compensates for all one's efforts." In this exhibition we explore the early history of aviation and the courageous women who took to the skiesaviatrixes who found freedom, broke new ground, and inspired generations of women along the way. This exhibition was created as part of the DPLAs Digital Curation Program by the following students as part of Professor Debbie Rabinas course "Information Services and Sources" in the School of Information and Library Science at Pratt Institute: Megan DeArmond, Diana Moronta, Laurin Paradise.
The stock market crash on October 29, 1929 -- known as Black Tuesday -- was the "worst economic collapse in the history of the modern industrial world." It spread from the United States to national economies across the globe. It ended a decade known for its high-spirited free-spending, called the Roaring 20s, and began almost 10 years of financial desperation that would touch nearly every citizen of the United States. The Great Depression caused bank closures and business failures and by its end, saw "more than 15 million Americans (one-quarter of the workforce)" unemployed. Herbert Hoover, president at the time, did not acknowledge the depth of the crisis and assumed that the American characteristics of individualism and self reliance would quickly bring the nation out of the disaster without a need for federal intervention. But, layoffs and financial desperation at the personal level were growing: "an empty pocket turned inside out was called a 'Hoover flag' [and] the decrepit shanty towns springing up around the country were called 'Hoovervilles'." Three years into the financial crisis, Franklin Delano Roosevelt, running on a platform of federal recovery programs called the "New Deal," easily took the presidential election of 1932.
In the first of two sequential lessons, students create mobile apps that collect data from an Android device's accelerometer and then store that data to a database. This lesson provides practice with MIT's App Inventor software and culminates with students writing their own apps for measuring acceleration. In the second lesson, students are given an app for an Android device, which measures acceleration. They investigate acceleration by collecting acceleration vs. time data using the accelerometer of a sliding Android device. Then they use the data to create velocity vs. time graphs and approximate the maximum velocity of the device.
Through this earth science curricular unit, student teams are presented with the scenario that an asteroid will impact the Earth. In response, their challenge is to design the location and size of underground caverns to shelter the people from an uninhabitable Earth for one year. Driven by this adventure scenario, student teams 1) explore general and geological maps of their fictional state called Alabraska, 2) determine the area of their classroom to help determine the necessary cavern size, 3) learn about map scales, 4) test rocks, 5) identify important and not-so-important rock properties for underground caverns, and 6) choose a final location and size.