Abstract: Advanced Algebra II provides three complementary resources for teachers and students that combine to provide a friendly, easy-to-understand explanation of Algebra II concepts. The main text, "Activities and Homework", consists of a series of worksheets for both in-class group work as well as homework assignments. The concepts behind those activities are described in detail in the "Conceptual Explanations" text. The third book, the "Teacher's Guide", provides instructors with guides and suggestions for presenting these materials.
Over a period of time, I have developed a set of in-class assignments, homeworks, and lesson plans, that work for me and for other people who have tried them. If I give you the in-class assignments and the homeworks, but not the lesson plans, you only have ⅔ of the story; and it may not make sense without the other third. So instead, I am giving you everything: the in-class assignments and the homeworks (the Homework and Activities book), the detailed explanations of all the concepts (the Conceptual Explanations book), and the lesson plans (the Teacher's Guide). Once you read them over, you will know exactly what I have done.
This digital textbook was reviewed for its alignment with California content standards.
Abstract: Welcome to the NROC Introductory Algebra course. This curriculum emphasizes a multi-representational approach to algebra, with concepts, results, and problems being expressed graphically, analytically, and verbally. It develops algebraic fluency by providing students with the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. In addition, the course develops proficiency with operations involving monomial and polynomial expressions. The main unifying themes of the course include understanding, writing, solving, and graphing linear equations, systems of linear equations and inequalities, quadratic equations, and rational equations.
Abstract: The resources highlighted here aim to reflect students' growing mathematical capacity over the span of the middle school years. The activities and lessons, intended as supplementary materials, range from introduction to the fundamentals of algebra to work on linear functions. Uniformly, they take into consideration the preference of the middle school student for concrete models, visual representations, and interactive tasks.
Abstract: Students compare real-time Earth and Mars measurements for temperature, wind speed, humidity and atmospheric pressure by accessing Internet-data resources from NASA.
Subject:
Mathematics and Statistics, Science and Technology
Abstract: This course is divided into two semesters and is designed to acquaint you with calculus principles such as derivatives, integrals, limits, approximation, and applications and modeling. During this course you will gain experience in the use of calculus methods and learn how calculus methods may be applied to practical applications. Upon completion of this course you will: * be able to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal * understand the connections among these representations * understand the meaning of the derivative in terms of a rate of change and local linear approximation and be able to use derivatives to solve a variety or problems * understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and should be able to use integrals to solve a variety of problems * understand the relationship between the derivative and the definite integral as expressed in both parts of the fundamental theorem of calculus
Abstract: Atmosphere Applet: This program lets you study how the properties of the atmosphere change with altitude. You can study the atmosphere of either the Earth or Mars. The equations used in this program are taken from the ICAO standard day model for the Earth and from some curve fits of the Martian atmosphere gathered by the Global Surveyor spacecraft. Using the airplane graphic you can select an altitude, or you can type an altitude into the input box.
The program instantly outputs a selected property and displays the local temperature and pressure on gauges You can output the temperature, pressure, density, local speed of sound, Mach number for specified velocity, or the ratio of aircraft lift to the lift on Earth at sea level. Input and output can be given in either English or metric units.
Subject:
Mathematics and Statistics, Science and Technology
Abstract: This Internet resource provides introductory information, concept or skill development in Mathematics for grade 9, 10, 11, and 12 students who are at grade level in a single student situation. This text was initially written by David Guichard. The single variable material (not including infinite series) was originally a modification and expansion of notes written by Neal Koblitz at the University of Washington, who generously gave permission to use, modify, and distribute his work. New material has been added, and old material has been modified, so some portions now bear little resemblance to the original.
This digital textbook was reviewed for its alignment with California content standards.
Abstract: COW is an internet utility for learning and practicing calculus. The principal purpose of COW is to provide you, the student or interested user, with the opportunity to learn and practice problems in calculus (and in the future other topics in mathematics) in a friendly environment via the internet. The most important feature of the COW is that you get to know whether your answer is correct almost immediately. It is as if you had a tutor looking over your shoulder and helping you along as you work. This will be true no matter where you are or what computer you use, as long as it is connected to the internet and has a web browser. The student component of COW (called the Manager) generates calculus examples and exercises in "modules" for studying, tutoring and practice. A number of the modules allow you to experiment by letting you change values or parameters in a function or graph and then see the effect. These modules are called "hands on" modules, and are marked with an asterisk. The component of the COW accessible by instructors (called the Reporter) handles assignment and automatic grading of homework, reporting on student work and class management.
Abstract: Calculus of several variables. Topics as in 18.02 but presented at greater depth. Additional material, relevant to physical theory and applications, in geometry, vector fields, and linear algebra.
Abstract: In this interactive activity adapted from the Exploratorium, explore the step-by-step process by which an animal cell divides to make more cells.
Abstract: Explore the parts of a virtual animal cell in this interactive activity adapted from the Exploratorium. Learn about various cell structures and the roles they play in cell division, cellular respiration, and protein synthesis.
Abstract: CK-12 Single Variable Calculus delivers a well-integrated course for the college-bound high school student covering advanced placement topics of functions, limits, and continuity; derivatives and applications of derivatives; integration and applications of definite integrals; transcendental functions; integration techniques; and infinite series.
This digital textbook was reviewed for its alignment with California content standards.
Abstract: Watch the dance of development as a zebrafish egg divides and differentiates on its way to becoming an embryo in this interactive activity adapted from the Exploratorium.
Abstract: In this visualization adapted from the University of Massachusetts Medical School, discover the role that dengue viral proteins play in a human cell as the virus prepares to replicate.
Abstract: This course covered the mathematical topics most directly related to computer science. Topics included: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, graph theory, combinatorics, discrete probability, recursion, recurrence relations, and number theory. Emphasis will be placed on providing a context for the application of the mathematics within computer science. The analysis of algorithms requires the ability to count the number of operations in an algorithm. Recursive algorithms in particular depend on the solution to a recurrence equation, and a proof of correctness by mathematical induction. The design of a digital circuit requires the knowledge of Boolean algebra. Software engineering uses sets, graphs, trees and other data structures. Number theory is at the heart of secure messaging systems and cryptography. Logic is used in AI research in theorem proving and in database query systems. Proofs by induction and the more general notions of mathematical proof are ubiquitous in theory of computation, compiler design and formal grammars. Probabilistic notions crop up in architectural trade-offs in hardware design.
Subject:
Mathematics and Statistics, Science and Technology