Geometry Labs Geometry Labs is a book of hands-on activities that use manipulatives to teach important ideas in geometry. These 78 activities have enough depth to provide excellent opportunities for discussion and reflection in both middle school and high school classrooms. Middle school teachers will find many labs that help prepare students for high school geometry by getting them to think visually and become familiar with fundamental concepts, figures, and vocabulary. Teachers of high school geometry —whether traditional, inductive, or technology-based— will find many labs that approach key topics in their curriculum from a different point of view. You may download the whole book or individual sections for your non-commercial use. For a preview of some labs from the book, see: The book uses tangrams, pattern blocks, cubes, mirrors, plus two manipulatives I designed, the CircleTrig Geoboard, and the Geometry Labs Template. CircleTrig Geoboard On one side, an 11 by 11 geoboard. Geoboard Activities
Khan Academy AIMS Puzzle Corner: Free Math Puzzles This week’s Puzzle Corner activity is a magic trick with a mathematical, as well as a slight-of-hand, component. I first came across this trick in one of Martin Gardner’s many books on recreational mathematics. I liked it so much that I have been stumping students, friends, and family members with it ever since. In order to make this trick work, you will need to practice it by yourself until the moves (illustrated at bottom) become automatic, before trying it out on someone else. Its success, like the success of many magic tricks, depends on diverting the audience’s in this case, your students’ attention. You can’t do this if you are uncertain of all the moves and take too much time making them. You will need at least three cups to perform this trick. Begin this trick by explaining that the goal is to get all three cups facing up after making exactly three moves. Next, invite one of the students who was watching to get all the cups facing up in three moves. Performing the trick: 1. 2.
History of the world World population from 10,000 BCE to 2,000 CE. The vertical (population) scale is logarithmic. The history of the world is the history of humanity, beginning with the Paleolithic Era. Distinct from the history of the Earth (which includes early geologic history and prehuman biological eras), world history comprises the study of archaeological and written records, from ancient times on. Ancient recorded history begins with the invention of writing. However, the roots of civilization reach back to the period before the invention of writing. Prehistory begins in the Paleolithic Era, or "Early Stone Age," which is followed by the Neolithic Era, or New Stone Age, and the Agricultural Revolution (between 8000 and 5000 BCE) in the Fertile Crescent. Outside the Old World, including ancient China and ancient India, historical timelines unfolded differently. Prehistory Early humans Rise of civilization Ancient history Timeline Cradles of civilization
Maths Centre NZ If you need specific information on a particular mathematical topic then you will find it here. Most of the booklets are 50 pages or more of concentrated explanations and exercises to practise. Visit this section often as it will be continually updated with booklets being revised and added to each month. Page 1 | 2 | 3 | 4 | 5 | 6 AS91027 Apply Algebraic Procedures In Solving Problems This 84 page booklet is designed for the MCAT (Mathematics Common Assessment Task). Jacobi Theta Functions The Jacobi theta functions are the elliptic analogs of the exponential function, and may be used to express the Jacobi elliptic functions. The theta functions are quasi-doubly periodic, and are most commonly denoted in modern texts, although the notations and (Borwein and Borwein 1987) are sometimes also used. The theta functions are given in Mathematica by EllipticTheta[n, z, q], and their derivatives are given by EllipticThetaPrime[n, z, q]. The translational partition function for an ideal gas can be derived using elliptic theta functions (Golden 1961, pp. 119 and 133; Melzak 1973, p. 122; Levine 2002, p. 838). The theta functions may be expressed in terms of the nome , denoted , or the half-period ratio , where are related by Let the multivalued function be interpreted to stand for . , the Jacobi theta functions are defined as Writing the doubly infinite sums as singly infinite sums gives the slightly less symmetrical forms (Whittaker and Watson 1990, pp. 463-464). is an odd function of Here, . .