Making Geometry Fun with Origami Lucila Cardenas Vega University of Texas at Brownsville Introduction Teachers must have an understanding of students’ mathematical thinking in order to create meaningful learning opportunities. This becomes more relevant when teaching subjects that not all students have an interest for, such as, geometry. Since geometry is the study of shapes and configurations, it is important to understand how a student thinks about the different properties in geometry including
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My Most Important Day I had always been curious about all the things in the world. In fact, my parents used to always mention how inquisitive I was. My world got difficult when I turned five. My parents thought it would be a good idea to hire an intense tutor to prepare me for school. At first, I liked my tutor, things were going well, but soon I became so overwhelmed by the pressure of studying that I began to rebel. As it turned out, all that preparation was a big waste of time. When trying to
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GMAT数学词汇大全 Algebra & arithmetic terms: Absolute value 绝对值 Add (addition) 加 Average value 算术平均值 Algebra 代数 Algebraic expression 代数式 Arithmetic mean 算术平均值 Arithmetic progression (sequence)等差数列 Approximate 近似 Abscissa 横坐标 Ordinate 纵坐标 Binomial 二项式 Common factor 公因子 Common multiple 公倍数 Common divisor 公约数 Simple fraction Common fraction 简分数 Complex fraction 繁分数 Common logarithm 常用对数 Common ratio 公比 Complex number 复数 Complex conjugate 复共轭 Composite number 合数 Prime number 质数 Consecutive
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midpoint of an interval. The Distance Formula: The formula for the length of an inter- y val P Q is just Pythagoras’ theorem in different notation. Let P (x1 , y1 ) and Q(x2 , y2 ) be two points in the plane. Construct the right-angled triangle P QA, where A(x2 , y1 ) lies level with P and vertically above or below Q. Then P A = |x2 − x1 | and QA = |y2 − y1 |, and so by Pythagoras’ theorem in P QA, Q(x2,y2) y2 y1 P(x1,y1) x1 A x2 x P Q2 = (x2 − x1 )2 + (y2 − y1 )2
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The first step that I did to determine the values of cosine, tangent, and sine was to sketch a right triangle that has the vertical length of three and has the horizontal base length of two. The second step that I did to determine the values of cosine, tangent, and sine was to utilize the pythagorean theorem to determine the length of the hypotenuse which looks like this square root(2^2 + 3^2) = square root(13). The third step that I did to determine the values of cosine, tangent, and sine was to
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2012-2013 Geometry Instructional Focus Calendar The Sarasota County Schools Instructional Focus Calendars (IFC) are designed to maximize and coordinate instruction throughout the district. The IFC gives the scope and sequence of the benchmarks that are to be covered in each course as laid out in the course description on the Florida Department of Education website, CPALMS (Curriculum Planning and Learning Management System): http://www.floridastandards.org/homepage/index.aspx The Instructional
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chapter eleven I learned the basic notions, planar notions, angles and angle measurement, and types of angles. I also learned about perpendicular lines, polygons, congruent segments and angles, triangles and quadrilaterals, how to construct parallel lines, how to find the sum of measures of the angles of triangles; and the sum of measures of interior and exterior angles of a convex polygon. The geometry of three-dimensional figures such as polyhedra, cylinders, and cones. While working in chapter twelve
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power in various problems. 2 Meshing First we approximate the boundary of by polygons. Then can be divided into small triangles called triangular elements. There is a great deal of exibility in this division process. The term meshing is used for this division. For the resulting FEM matrices to be well-conditioned it is important that the triangles produced by meshing should not have angles which are too small. At the end of the meshing process the following quantities are created
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Last Modified: 06/11/09 Pre-Algebra Practice Exam This test is designed to be used with a Scantron form. Please fill out the information section of the form with your name, subject, “Practice Final” for “Test No.,” date, and section number (in the box marked “Period”). Circle the letter on the test paper that corresponds to the correct answer and fill in the appropriate space on the Scantron form with a Number 2 pencil. Be sure to fill in only one answer per question and to fully erase any
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its angles measuring the same. Acute Triangle: A triangle that has all three of its angles acute (less than 90 degrees). Right Triangle: A triangle that has just one single right angle (90 degrees). Obtuse Triangle: A triangle that has just one single obtuse angle (larger than 90 degrees). Equilateral Triangle: A triangle that has all three of its sides of the equal length and all angles of the same measure. Isosceles Triangle: A triangle that has two out of its three sides of the same length
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