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29 April 2002 Vol. 7, No. 17 THE MATH FORUM INTERNET NEWS Exploring Geometric Solids and Their Properties The Math Page - Spector | Determination of Pi - Bogomolny EXPLORING GEOMETRIC SOLIDS AND THEIR PROPERTIES Grades 3-5 i-Math Investigations - NCTM http://illuminations.nctm.org/imath/3-5/GeometricSolids/index.html In this interactive geometry investigation, students will explore geometric solids and their properties. There are five parts to this i-Math Investigation: - Getting to Know the Shapes - Study the Shapes - Look for Patterns - Construct a Solid - Make a Jacket The other investigations for Grades 3-5 include: Multi-Day i-Math Investigations Exploring Geometric Solids and Their Properties Communicating about Mathematics Using Games Collecting, Representing, and Interpreting Data Using Spreadsheets and Graphing Software Single-Day i-Math Activities Understanding Distance, Speed, and Time Relationships Using Simulation Software Exploring Properties of Rectangles and Parallelograms Using Dynamic Software Each of these activities has a student version that can also be downloaded to use offline. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- THE MATH PAGE - Lawrence Spector http://www.themathpage.com/ Lawrence Spector from Borough of Manhattan Community College, The City University of New York, currently offers the two topics of arithmetic and trigonometry on his pages of mathematics. Skill in Arithmetic http://www.themathpage.com/ARITH/arithmetic.htm Spector presents his complete course in arithmetic using the usual written methods to show that arithmetic is something we do naturally in our heads. Topics covered include: reading and writing whole numbers and decimals; addition, subtraction, multiplication, and division. Features the verbal, non-algebraic theory of ratio and proportion, leading to fractions and percent; with addition and multiplication tables, powers of 10, and more. Topics in Trigonometry http://www.themathpage.com/aTrig/trigonometry.htm Trigonometry from the very beginning, for anyone who needs help or a review of trigonometry. Topics include: - Ratio and Proportion - Radicals: Rational and Irrational Numbers - The Pythagorean Theorem - The Definitions of the Trigonometric Functions (Ratios) - Trigonometry of Right Triangles - The Isosceles Right Triangle - The 30-60-90-degree Triangle - Solving Right Triangles - The Law of Sines - The Law of Cosines - The Circle - Evaluating Pi - Measurement of Angles - Radian Measure - Arclength - Analytic Trigonometry - The Unit Circle - Functions of a General Angle - Line Values -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- DETERMINATION OF PI - Alexander Bogomolny http://mathforum.org/te/exchange/hosted/bogomolny/nature.of.pi.html Alexander Bogomolny has contributed a middle school lesson to the Teacher Exchange which presents an interesting alternative to the customary game plan for the determination of pi. Bogomolny's lesson presents pi in the framework of similarity, which makes the existence of pi self-evident. Approximation of pi does not require several objects. Pi can be approximated by taking measurements of a single circular object with different tools and different techniques. \|/ CUT-THE-KNOT http://www.cut-the-knot.com/ Bogomolny's MAA Online interactive monthly column uses Java applets to simulate or illustrate puzzles and problems. \|/ TEACHER EXCHANGE http://mathforum.org/te/ If you have a lesson idea that you would like to contribute to the Math Forum @ Drexel site, please visit the Teacher Exchange area of our site. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problems of the Week http://mathforum.org/pow/ Mathematics Library http://mathforum.org/library/ Teacher2Teacher http://mathforum.org/t2t/ Discussion Groups http://mathforum.org/discussions/ Join the Math Forum http://mathforum.org/join.forum.html Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \ |

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