In this task students see different ways of partitioning a circle and a rectangle into two or more equal shares.
Create a whirligig out of paper and string to simulate a hand powered centrifuge. Colorado Americorp agents in Araphahoe, Denver, Garfield, Larimer, and Weld Counties. Work supported by the Corporation for National and Community Service under Americorps grant number 18AFHCO0010008. Opinions or points of view expressed in this lesson are those of the authors and do not necessarily represent the official position of or a position that is endorsed by the Corporation or the Americorps program. This resource is also available in Spanish in the linked file.
Learn how and when the Eastern Shoshone came to Wyoming, what are the Shoshone values, and what are the people of the Eastern Shoshone like? In the accompanying lessons plans (found in the Support Materials), students will gain an understanding of the Fort Bridger Treaty of 1868 including its importance to the state of Wyoming and the Eastern Shoshone Tribe in 1868 and today. The American Bison, or Buffalo as preferred by most tribes, has a significant existence among the Native American people. For thousands of years, the great American Buffalo roamed the Great Plains, migrating from north to south, searching for areas on which to thrive. The Shoshone people depended on the buffalo for many things that included food, clothing, and shelter. Every part of the buffalo was used and provided for the people.
LEARNING OBJECTIVES:
Students will study (Highlight, paraphrase and report) the Treaty of 1868 between the Eastern Shoshone Tribe and the United States Government.
Students will learn about the Eastern Shoshone people through the use of research and technology.
Students will understand that the history of the Shoshone people in the Wind River Mountains dates back thousands of years.
Students will understand that the circle of life continues in a perpetual cycle and is passed on through oral tradition. These stories often taught a lesson to young people.
Students will understand the indigenous perspective of interconnectedness. Students will understand how bison populations were devastated by western expansion.
Students will learn how to construct, read, compare and analyze different population graphs.
Students will understand how the diets of the Shoshone people varied depending on the areas in which they lived.
Students will acquire knowledge of the Wind River Reservation communities and be able to identify these locations on a map.
Students will be able to further describe how their culture has shaped them.
Students will be able to define the concept of culture.
Students will be able to explain some of the attributes of culture.
Beavers are generally known as the engineers of the animal world. In fact the beaver is MIT's mascot! But honeybees might be better engineers than beavers! And in this lesson involving geometry in interesting ways, you'll see why! Honeybees, over time, have optimized the design of their beehives. Mathematicians can do no better. In this lesson, students will learn how to find the areas of shapes (triangles, squares, hexagons) in terms of the radius of a circle drawn inside of these shapes. They will also learn to compare those shapes to see which one is the most efficient for beehives. This lesson also discusses the three-dimensional shape of the honeycomb and shows how bees have optimized that in multiple dimensions. During classroom breaks, students will do active learning around the mathematics involved in this engineering expertise of honeybees. Students should be conversant in geometry, and a little calculus and differential equations would help, but not mandatory.
The two triangles in this problem share a side so that only one rigid transformation is required to exhibit the congruence between them. In general more transformations are required and the "Why does SSS work?'' and "Why does SAS work?'' problems show how this works.
For these particular triangles, three reflections were necessary to express how to move from ABC to DEF. Sometimes, however, one reflection or two reflections will suffice. Since any rigid motion will take triangle ABC to a congruent triangle DEF, this shows the remarkable fact that any rigid motion of the plane can be expressed as one reflection, a composition of two reflections, or a composition of three reflections.
This particular sequence of transformations which exhibits a congruency between triangles ABC and DEF used one translation, one rotation, and one reflection. There are many other ways in which to exhibit the congruency and students and teachers are encouraged to explore the different possibilities.
Students learn about trigonometry, geometry and measurements while participating in a hands-on interaction with LEGO® MINDSTORMS® NXT technology. First they review fundamental geometrical and trigonometric concepts. Then, they estimate the height of various objects by using simple trigonometry. Students measure the height of the objects using the LEGO robot kit, giving them an opportunity to see how sensors and technology can be used to measure things on a larger scale. Students discover that they can use this method to estimate the height of buildings, trees or other tall objects. Finally, students synthesize their knowledge by applying it to solve similar problems. By activity end, students have a better grasp of trigonometry and its everyday applications.