An interactive applet and associated web page that shows how triangles that have two angles and a non-included side the same must be congruent. The applet shows two triangles, one of which can be reshaped by dragging any vertex. The other changes to remain congruent to it and the two angles and non-included side are outlined in bold to show they are the same measure and are the elements being used to prove congruence. The web page describes all this and has links to other related pages. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
Join Simon, Anita, Emily and the rest of Ms. Patel's class as they gain an understanding of how the Earth works as a system while preparing their end of the school year play.
The Bedouins of ancient Arabia and Persia made poetry a conversational art form. Several poetic forms developed from the participatory nature of tribal poetry. Today in most Arabic cultures, you may still experience public storytelling and spontaneous poetry challenges in the streets. The art of turning a rhyme into sly verbal sparring is considered a mark of intelligence and a badge of honor. Students will learn about the origins and structure of Arabic Poetry.
This module contains the basic operations with real numbers from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr.
In this game, learners explore the different sizes of things in the world. In this Twister-like game, learners must place a hand or foot on a circle of the right scale - macro, micro, or nano. This activity is a fun way for learners to investigate the sizes of different objects.
In this course, you will cover some of the most basic math applications, like decimals, percents, and even fractions. You will not only learn the theory behind these topics, but also how to apply these concepts to your life. You will learn some basic mathematical properties, such as the reflexive property, associative property, and others. The best part is that you most likely already know them, even if you did not know the proper mathematical terminology.
This survey chemistry course is designed to introduce students to the world of chemistry. In this course, we will study chemistry from the ground up, learning the basics of the atom and its behavior. We will apply this knowledge to understand the chemical properties of matter and the changes and reactions that take place in all types of matter. Upon successful completion of this course, students will be able to: Define the general term 'chemistry.' Distinguish between the physical and chemical properties of matter. Distinguish between mixtures and pure substances. Describe the arrangement of the periodic table. Perform mathematical operations involving significant figures. Convert measurements into scientific notation. Explain the law of conservation of mass, the law of definite composition, and the law of multiple proportions. Summarize the essential points of Dalton's atomic theory. Define the term 'atom.' Describe electron configurations. Draw Lewis structures for molecules. Name ionic and covalent compounds using the rules for nomenclature of inorganic compounds. Explain the relationship between enthalpy change and a reaction's tendency to occur. (Chemistry 101; See also: Biology 105. Mechanical Engineering 004)
In this course, you will study the relationships between lines and angles. You will learn to calculate how much space an object covers, determine how much space is inside of a three-dimensional object, and other relationships between shapes, objects, and the mathematics that govern them.
In this game, learners try to find nano-related objects on a game board. Learners investigate the different ways nano is in the world around us.
In this packet we look at works that span nearly a thousand yearsäóîfrom shortly after the foundation of Islam in the seventh century to the seventeenth century when the last two great Islamic empiresäóîthe Ottoman and the Safavidäóîhad reached their peak. Although the definition of Islamic art usually includes work made in Mughal India, it is beyond the scope of this packet. The works we will look at here come from as far west as Spain and as far east as Afghanistan.
Join Anita, Simon and Dennis and the rest of Ms. Patel's class as they research when the hummingbirds have gone and when they might return. Download the Seasons Module storybook and learning activities!
This is a template intended to be used by OER Fellows to copy, remix, upload and insert media, write, describe, align to standards, license and publish their OER Fellowship Projects.
Respecting a child's race, colour, gender, religion, political view, nationality, origin of birth. What does this have to do with the students in my classroom or children all over the world? Ethics and social responsibility in the classroom are invited in this unit of study.Have your students ever thought about looking at an idea through different lenses? What about thinking about one item in different ways? Through the thinking, writing, speaking exercises the students will examine the Declaration of the Rights of The Child and will create a scrapbook weaving multiple genres.
Scientific calculators are a wonderful invention, but they're only as good as the people who use them. If you often get an unexpected - or ridiculous - result when you press the"enter' button, this unit is for you. Learn how to do a calculation correctly and get the right answer every time.
This course is designed to introduce the student to the study of Calculus through concrete applications. Upon successful completion of this course, students will be able to: Define and identify functions; Define and identify the domain, range, and graph of a function; Define and identify one-to-one, onto, and linear functions; Analyze and graph transformations of functions, such as shifts and dilations, and compositions of functions; Characterize, compute, and graph inverse functions; Graph and describe exponential and logarithmic functions; Define and calculate limits and one-sided limits; Identify vertical asymptotes; Define continuity and determine whether a function is continuous; State and apply the Intermediate Value Theorem; State the Squeeze Theorem and use it to calculate limits; Calculate limits at infinity and identify horizontal asymptotes; Calculate limits of rational and radical functions; State the epsilon-delta definition of a limit and use it in simple situations to show a limit exists; Draw a diagram to explain the tangent-line problem; State several different versions of the limit definition of the derivative, and use multiple notations for the derivative; Understand the derivative as a rate of change, and give some examples of its application, such as velocity; Calculate simple derivatives using the limit definition; Use the power, product, quotient, and chain rules to calculate derivatives; Use implicit differentiation to find derivatives; Find derivatives of inverse functions; Find derivatives of trigonometric, exponential, logarithmic, and inverse trigonometric functions; Solve problems involving rectilinear motion using derivatives; Solve problems involving related rates; Define local and absolute extrema; Use critical points to find local extrema; Use the first and second derivative tests to find intervals of increase and decrease and to find information about concavity and inflection points; Sketch functions using information from the first and second derivative tests; Use the first and second derivative tests to solve optimization (maximum/minimum value) problems; State and apply Rolle's Theorem and the Mean Value Theorem; Explain the meaning of linear approximations and differentials with a sketch; Use linear approximation to solve problems in applications; State and apply L'Hopital's Rule for indeterminate forms; Explain Newton's method using an illustration; Execute several steps of Newton's method and use it to approximate solutions to a root-finding problem; Define antiderivatives and the indefinite integral; State the properties of the indefinite integral; Relate the definite integral to the initial value problem and the area problem; Set up and calculate a Riemann sum; Estimate the area under a curve numerically using the Midpoint Rule; State the Fundamental Theorem of Calculus and use it to calculate definite integrals; State and apply basic properties of the definite integral; Use substitution to compute definite integrals. (Mathematics 101; See also: Biology 103, Chemistry 003, Computer Science 103, Economics 103, Mechanical Engineering 001)
From paving your patio to measuring the ingredients for your latest recipe, squares, roots and powers really are part of everyday life. This unit reviews the basics of all three and also describes scientific notation, which is a convenient way of writing or displaying large numbers.
The mission of Understanding Science is to provide a fun, accessible, and free resource that accurately communicates what science is and how it really works. The process of science is exciting, but standard explanations often miss its dynamic nature. Science affects us all everyday, but people often feel cut off from science. Science is an intensely human endeavor, but many portrayals gloss over the passion, curiosity, and even rivalries and pitfalls that characterize all human ventures. Understanding Science gives users an inside look at the general principles, methods, and motivations that underlie all of science. This project has at its heart a re-engagement with science that begins with teacher preparation and ends with broader public understanding. Its immediate goals are to (1) improve teacher understanding of the nature of the scientific enterprise, (2) provide resources and strategies that encourage and enable K-16 teachers to reinforce the nature of science throughout their science teaching, and (3) provide a clear and informative reference for students and the general public that accurately portrays the scientific endeavor. The Understanding Science site was produced by the UC Museum of Paleontology of the University of California at Berkeley, in collaboration with a diverse group of scientists and teachers, and was funded by the National Science Foundation1. Understanding Science was informed and initially inspired by our work on the Understanding Evolution project, which highlighted the fact that many misconceptions regarding evolution spring from misunderstandings of the nature of science. Furthermore, research indicates that students and teachers at all grade levels have inadequate understandings of the nature and process of science, which may be traced to classrooms in which science is taught as a simple, linear, and non-generative process. This false and impoverished depiction disengages students, discourages public support, and may help explain current indications that the U.S. is losing its global edge in science. Even beyond the health of the U.S. economy, the public has a genuine need to critically assess conflicting representations of scientific evidence in the media. To do this, they need to understand the strengths, limitations, and basic methods of the enterprise that has produced those claims. Understanding Science takes an important step towards meeting these needs.
- Life Science
- Material Type:
- Lecture Notes
- Lesson Plan
- Teaching/Learning Strategy
- AMSER: Applied Math and Science Education Repository
- Individual Authors
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