Foundational STEM Courses and Textbooks
The phenomenon that launches this unit is a cell phone call to a student in the class, where the caller on speaker phone asks “How are you hearing me?”. Over the course of the unit, students discover the patterns with waves. Then use that understanding to explain ultrasound medical imagining technology and ultimately how cell phones work. Cell phone communication is operationalized by the engineering challenge of communicating a three letter signal by first coding a spreadsheet to digitize the signal in binary (ASCII), then transmit the digital signal using light and sound (AM and FM), then receive and decode the signal to complete the communication. This project models the sending and receiving of a text message.
Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.
Note: this is a 57 MB PDF Document.
This textbook is part of the OpenIntro Statistics series and offers complete coverage of the high school AP Statistics curriculum. Real data and plenty of inline examples and exercises make this an engaging and readable book. Links to lecture slides, video overviews, calculator tutorials, and video solutions to selected end of chapter exercises make this an ideal choice for any high school or Community College teacher. In fact, Portland Community College recently adopted this textbook for its Introductory Statistics course, and it estimates that this will save their students $250,000 per year. Find out more at: openintro.org/ahss
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This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination.
Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently.
This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.
This book is intended to help students prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Papers). STEP examinations are used by Cambridge colleges as the basis for conditional offers in mathematics and sometimes in other mathematics-related subjects. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on past papers to become accustomed to university-style mathematics.
This course is oriented toward US high school students. The course is divided into 10 units of study. The first five units build the foundation of concepts, vocabulary, knowledge, and skills for success in the remainder of the course. In the final five units, we will take the plunge into the domain of inferential statistics, where we make statistical decisions based on the data that we have collected.
Earthquakes are natural phenomena that can cause immense human suffering because of intense ground shaking and are consequently of great societal importance. Earthquakes are also important because the seismic waves that generate the ground shaking provide scientists with important information about Plate Tectonics and geology, in particular information about the structure and composition of our planet and how the insides of the planet are deforming. In this course, earthquakes in Africa and the seismic waves they generate are used to help you to learn about the geology of Africa and how the earth beneath the African continent is being deformed by Plate Tectonics.
Students will learn about agricultural business operation and management. Topics will include accounting, finance, economics, business organization, marketing, and sales. Students will learn about agricultural business operation and management. Topics will include accounting, finance, economics, business organization, marketing, and sales.
The Agriscience/Intro to Agriculture course helps students acquire a broad understanding of a variety of agricultural areas, develop an awareness of the many career opportunities in agriculture, participate in occupationally relevant experiences, and work cooperatively with a group to develop and expand leadership abilities. Students study California agriculture, agricultural business, agricultural technologies, natural resources, and animal, plant, and soil sciences.
Students are introduced to the concept of air quality by investigating the composition, properties, atmospheric layers and everyday importance of air. They explore the sources and effects of visible and invisible air pollution. By learning some fundamental meteorology concepts (air pressure, barometers, prediction, convection currents, temperature inversions), students learn the impact of weather on air pollution control and prevention. Looking at models and maps, they explore the consequences of pollutant transport via weather and water cycles. Students are introduced to acids, bases and pH, and the environmental problem of acid rain, including how engineers address this type of pollution. Using simple models, they study the greenhouse effect, the impact of increased greenhouse gases on the planet's protective ozone layer and the global warming theory. Students explore the causes and effects of the Earth's ozone holes through an interactive simulation. Students identify the types and sources of indoor air pollutants in their school and home, evaluating actions that can be taken to reduce and prevent poor indoor air quality. By building and observing a few simple models of pollutant recovery methods, students explore the modern industrial technologies designed by engineers to clean up and prevent air pollution.
In this course students gain proficiency in Linear Equations, Linear Inequalities, Graphing linear equations, Solving Systems of Equations, Simplifying with Polynomials, Division of Polynomials, Factoring Polynomials, Developing a Factoring Strategy, and Solving Other Algebraic Equations.
A work in progress, CK-12's Algebra I Second Edition is a clear presentation of algebra for the high school student. Topics include: Equations and Functions, Real Numbers, Equations of Lines, Solving Systems of Equations and Quadratic Equations.
CK-12's Texas Instruments Algebra I Student Edition Flexbook allows students to better utilize a graphing calculator in understanding the fundamental concepts of algebra.
CK-12's Texas Instruments Algebra I Teacher's Edition Flexbook allows an Instructor to teach students to better utilize a graphing calculator in understanding the fundamental concepts of algebra.
CK-12 Foundation's Algebra I Teacher's Edition FlexBook complements CK-12's Algebra I Student Edition. The solution and assessment guides are available upon request.
The College and Career Readiness Standards for Level E (High School) outline the outcomes for this course.In this course students gain proficiency in Functions, Linear Functions, Solving Quadratics, Quadratic Functions, Exponential Functions, and Logarithmic Functions.
CK-12 Foundation's Basic Algebra FlexBook is an introduction to the algebraic topics of functions, equations, and graphs for middle-school and high-school students.