A DETAILED LESSON PLAN IN MATHEMATICS V I.Objectives A. Visualize‚ identify and describe 3-4 sided polygons B. Draw 3-4 sided polygons C. Identify different geometric figures D. Observe patience and discipline in doing assigned works E. Work cooperatively and collaboratively in all activities II.Subject Matter Topic: Visualizing 3-4-Sided Polygons Reference: BEC-PELC III.1 Materials: manila paper‚ cartolina‚ marker‚ cut-outs of polygons Strategy: Interactive Teaching Strategy Values:
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TRIGO BINGO TA BAY Teacher’s Guide Description This Teacher Support Material is designed to provide the students a concrete understanding of the coordinates of the special angles and the quadrantal angles through recreational mathematics. This is done after the discussion of the unit circle. Rationale Students find circular function a difficult topic. Trigo Bingo Ta Bay is a recreational mathematics which addresses the needs of the students in terms of determining the coordinates of
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Diploma Programme Mathematics SL formula booklet For use during the course and in the examinations First examinations 2014 Published March 2012 © International Baccalaureate Organization 2012 Mathematical studies SL: Formula booklet 1 5045 Contents Prior learning Topics Topic 1—Algebra Topic 2—Functions and equations Topic 3—Circular functions and trigonometry Topic 4—Vectors Topic 5—Statistics and probability Topic 6—Calculus 2 3 3 4 4 5 5 6 Mathematics SL formula booklet
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[pic] In 1925‚ E.W. Burgess presented an urban land use model‚ which divided cities in a set of concentric circles expanding from the downtown to the suburbs. This representation was built from Burgess’s observations of a number of American cities‚ notably Chicago. According to this model‚ a large city is divided in concentric zones with a tendency of each inner zone to expand in the other zone. Urban growth is thus a process of expansion and reconversion of land uses. For instance on
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COMP-274 Laboratory 5 Description of the Problem Write a program that draws a series of eight concentric circles. The circles should be separated by 10 pixels. Use the drawArc method. Sample Output Program Template 1 // Lab 5 Circles.java 2 // This program draws concentric circles 3 import java.awt.*; 4 import java.awt.event.*; 5 import javax.swing.*; 6 7 public class Circles extends JFrame { 8 9 // constructor 10 public Circles() 11 { 12 super( "Circles" ); 13 setSize(
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LINES AND PLANES IN SPACE PLANE – is a surface such that if any two points on it are joined by a straight line‚ the line lies wholly on the surface. POSTULATE 1. Through three points not on the same straight line‚ one and only one plane can be passed. A plane is determined by any of the following conditions: 1. Three non-collinear points; 2. A line and a point not on the line; 3. Two intersecting lines; or 4. Two parallel lines. POSTULATE 2. If two planes meet
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The aim of this task is to investigate geometric shapes‚ which lead to special numbers. The simplest example of these are square numbers‚ such as 1‚ 4‚ 9‚ 16‚ which can be represented by squares of side 1‚ 2‚ 3‚ and 4. Triangular numbers are defined as “the number of dots in an equilateral triangle uniformly filled with dots”. The sequence of triangular numbers are derived from all natural numbers and zero‚ if the following number is always added to the previous as shown below‚ a triangular number
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Algebra Algebra was invented by the Muslim mathematician Al-Khwarizmi in the book he wrote in 820. Algebra is the Arabic word (aljabr) for "equation"‚ and the word "algorithm" comes from the author’s name‚ Al-Khwarizmi. He is rightly known as "the father of Algebra The roots of algebra can be traced to the ancient Babylonians‚ who developed an advanced arithmetical system with which they were able to do calculations in analgorithmic fashion. The Babylonians developed formulas to calculate solutions
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1314-MJ1E3 -V1 Level J Algebra First Two Weeks Sample Questions Exam 1. Solve‚ x ( x + 9 ) = 0. Reference: Algebra 1‚ Part 2‚ Chapter 8.7‚ Activity (1a)‚ Page 78 Solution: x = 0 or x = −9 2. Factor‚ x 2 + 5 x + 2 xy + 10 y. . Reference: Algebra 1‚ Part 2‚ Chapter 8.6.1 Activity 1 #(d)‚ Page 73 Solution: x 2 + 5 x + 2 xy + 10 y = x( x + 5) + 2 y ( x + 5) = ( x + 5)( x + 2 y ) 3. Factor‚ a 2 + 4 a − 32. Reference: Algebra 1 Part 2‚ Chapter 8.4.3‚ Activity (a)‚ Page 61
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M.C Escher December 2nd‚ 2012 Maurits Cornelis Escher is one of the world’s most famous graphic artists. His art is enjoyed by millions of people all over the world. M.C. Escher‚ during his lifetime‚ over 2000 drawings and sketches. He was born in Leeuwarden‚ Netherlands on June 17th‚ 1898 as the fourth and youngest son of a civil engineer. He failed his high school exams‚ and ultimately was enrolled in the School Decorative Arts in Haarlem. After finishing school‚ he traveled throughout Italy
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