Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.
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Systematic development of reading, writing, and oral communication skills. Introduction to advanced grammar that deepens the understanding of Japanese culture and society through reading and discussion. Lab work required. This course covers lessons 22 through 27 of Japanese: The Spoken Language by Eleanor H. Jordan with Mari Noda. The goal of the course is to continue to build oral proficiency by expanding your knowledge of vocabulary and grammar. Class hours will be devoted to developing speaking skills in a variety of circumstances; making requests, invitations, apologies, suggestions, dealing with problems, expressing your opinions, etc. Grammatical and social appropriateness on your utterances will be stressed. Keep in mind that daily tape-work is essential.
Continuation of 21F.505. Further development of reading, writing, and oral communication skills. Extension of advanced grammar and further enhancement of advanced vocabulary. Variety of cultural elements studied through readings, video, and discussion. Lab work required. This course covers Lessons 27 through 30 of Japanese: The Spoken Language by Eleanor H. Jordan with Mari Noda. The goal of the course is to continue expanding grammar and vocabulary by further developing four skills: speaking, listening, reading, and writing. The goal is to acquire the ability to use Japanese appropriately with increasing spontaneity emphasized, and to be prepared to become an independent learner to the point where you are capable of handling authentic Japanese by yourself, without fear or hesitation.
About 70% of our planet is covered by oceans and seas: large, full of life and mysterious.
They are a source of food, way of transportation, oxygen producer, and more.
But the sea is in danger: overfishing, plastic waste, acidification, species extinction.
We need to better understand the marine life and deal with it in a sustainable way, because our life is closely linked to the sea. If it is sick, we cannot stay healthy.
edeos - digital education
This course examines problems in the philosophy of film as well as literature studied in relation to their making of myths. The readings and films that are discussed in this course draw upon classic myths of the western world. Emphasis is placed on meaning and technique as the basis of creative value in both media.
Four full-year digital course, built from the ground up and fully-aligned to the Common Core State Standards, for 7th grade Mathematics. Created using research-based approaches to teaching and learning, the Open Access Common Core Course for Mathematics is designed with student-centered learning in mind, including activities for students to develop valuable 21st century skills and academic mindset.
Zooming In On Figures
Type of Unit: Concept; Project
Length of Unit: 18 days and 5 days for project
Students should be able to:
Find the area of triangles and special quadrilaterals.
Use nets composed of triangles and rectangles in order to find the surface area of solids.
Find the volume of right rectangular prisms.
After an initial exploratory lesson that gets students thinking in general about geometry and its application in real-world contexts, the unit is divided into two concept development sections: the first focuses on two-dimensional (2-D) figures and measures, and the second looks at three-dimensional (3-D) figures and measures.
The first set of conceptual lessons looks at 2-D figures and area and length calculations. Students explore finding the area of polygons by deconstructing them into known figures. This exploration will lead to looking at regular polygons and deriving a general formula. The general formula for polygons leads to the formula for the area of a circle. Students will also investigate the ratio of circumference to diameter ( pi ). All of this will be applied toward looking at scale and the way that length and area are affected. All the lessons noted above will feature examples of real-world contexts.
The second set of conceptual development lessons focuses on 3-D figures and surface area and volume calculations. Students will revisit nets to arrive at a general formula for finding the surface area of any right prism. Students will extend their knowledge of area of polygons to surface area calculations as well as a general formula for the volume of any right prism. Students will explore the 3-D surface that results from a plane slicing through a rectangular prism or pyramid. Students will also explore 3-D figures composed of cubes, finding the surface area and volume by looking at 3-D views.
The unit ends with a unit examination and project presentations.
Gallery OverviewAllow students who have a clear understanding of the content thus far in the unit to work on Gallery problems of their choosing. You can then use this time to provide additional help to students who need review of the unit’s concepts or to assist students who may have fallen behind on work.Problem DescriptionsSprinklersExplore different sprinkler layouts, looking at circular areas (and partial circles) to decide which will be best to water a lawn.Leaning TowerChoose a scale and use a ruler and protractor to make a simple scale drawing.Pizza DoublerIf you could choose between doubling the fraction of the pizza that a slice is, or doubling the radius, which option would give you more pizza? In this problem you will investigate which choice gives a bigger slice.Area and ScaleWhen a figure is redrawn at a larger scale the side lengths increase by the factor of the scale (if the scale doubles the size, the side lengths double also). But, does the area increase the same way? Explore a dynamic sketch and see how area changes when the scale changes.Tree House 1Given plans for a tree house, redraw the plans at a different scale.
Based on the workbook Mathematics for Manufacturing by Ray Prendergast and Stacey Toscas, 2000. This material was based in part on work supported by the National Science Foundation’s Advanced Technological Education program under grant number DUE-9850327.
Editable MSWord docx: https://drive.google.com/open?id=17ruoRN9jrgP-xbkBwtiHVKP1q7jRIxnT
Answer keys: https://www.oercommons.org/courses/math-for-manufacturing-student-workbook-pre-test-answers
Every German consumes an average of nearly 90 kg of meat every year. This is way too much and problematic in many ways. Industrialized production of meat is unsustainable in many ways, it affects: Land consumption, food security, climate change, animal rights, pollution and health.
But what exactly are the problems of industrial meat production? What are the global implications? And what can be done about?
Realization: edeos- digital education
This unit lays the foundation of the subject of mechanics. Mechanics is concerned with how and why objects stay put, and how and why they move. In particular, this unit - Modelling Static Problems - considers why objects stay put. And it assumes that you have a good working knowledge of vectors.
Meets with CMS.850, but assignments differ. Philosophical analysis of film art, with an emphasis on the ways in which it creates meaning through techniques that define a formal structure. Particular focus on aesthetic problems about appearance and reality, literary and visual effects, communication and alienation through film technology.
These instructional videos cover the Examples and Try It exercises in the OpenStax Precalculus text. Created by Brian Stonelake at Southern Oregon University.