EUROPEAN SCHOOL Mathematics Higher Level Portfolio Type 1 SHADOW FUNCTIONS Candidate Name: Emil Abrahamyan Candidate Number: 006343-021 Supervisor: Avtandil Gagnidze Session Year: 2013 May Candidate Name: Emil Abrahamyan Candidate Number: 006343-021 Mathematics Higher Level Type 1: Shadow Functions SHADOW FUNCTIONS The Aim of the Investigation: The overall aim of this investigation is to investigate different polynomials with different powers and create shadow function
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Formulas (to differential equations) Math. A3‚ Midterm Test I. sin2 x + cos2 x = 1 sin(x ± y) = sin x cos y ± cos x sin y tan(x ± y) = tan x±tan y 1∓tan x·tan y differentiation rules: (cu) = cu ′ ′ ′ ′ ′ (c is constant) cos(x ± y) = cos x cos y ∓ sin x sin y (u + v) = u + v (uv)′ = u′ v + uv ′ ′ ′ u ′ = u v−uv v v2 df dg d dx f (g(x)) = dg dx sin 2x = 2 sin x cos x tan 2x = sin x = 2 cos 2x = cos2 x − sin2 x 2 tan x 1−tan2 x 1−cos 2x ‚ 2 integration rules: cos x = 2
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Introduction to Management Science‚ 11e (Taylor) Chapter 1 Management Science 1) Management science involves the philosophy of approaching a problem in a subjective manner. Answer: FALSE Diff: 1 Page Ref: 2 Section Heading: The Management Science Approach to Problem Solving Keywords: scientific approach AACSB: Analytic skills 2) Management science techniques can be applied only to business and military organizations. Answer: FALSE Diff: 1 Page Ref: 2 Section Heading:
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MATH OF INVESTMENT (FORMULAS AND SAMPLE PROBLEMS) SIMPLE INTEREST: a) I= Prt b) F= P+ I c) I= F- P d) F= P (1 + rt) e) P= F / 1+ rt f) R= I / Pt g) P= I / rt h) t= I / Pr i) EXACT INTEREST: j) k) Ie= Pr approximate time Ie= Pr exact time l) 365 days 360 days m) n) ORDINARY INTEREST o) p) Io= Pr exact time Io= Pr approximate time q)
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Taras Malsky MT.1102 AB Dr.S.Washburn Egyptian Math The use of organized mathematics in Egypt has been dated back to the third millennium BC. Egyptian mathematics was dominated by arithmetic‚ with an emphasis on measurement and calculation in geometry. With their vast knowledge of geometry‚ they were able to correctly calculate the areas of triangles‚ rectangles‚ and trapezoids and the volumes of figures such as bricks‚ cylinders‚ and pyramids. They were also able to build the Great Pyramid
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INTRODUCTION Observation is like acting or directing or writing or any other complex skill-set. It takes practice. We all observe things all the time. We notice or perceive things that might be in our path—metaphorically and literally. We see things we want (or don’t want) and take action to secure them (or push them away). When we talk about observation as an assessment tool‚ we sometimes refer to it as “formal observation” or “field observation” or “qualitative observation.” In those instances
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On November 6th‚ I observed a four year-old boy at the UCI Early Childhood Education Center. My observation starts at 4:10pm‚ and it lasts for thirty minutes. At the time I did the observation‚ all of the children woke up from the nap time and started to play outside of the classroom. The playground is at least seventy-five square feet‚ and it has many play stations for children. Three classrooms share the same outside playground‚ and the age groups of those children are from three years old to five
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Part A Q2-Maths Assignment 2012‚ Mrs Pillai Lvl 1 Irrational numbers are numbers that are neither whole numbers nor ratios of whole numbers. Irrational numbers are real numbers in the sense that they appear in measurements of geometric objects--for example‚ the number pi (II). However‚ irrational numbers cannot be represented as decimals‚ unlike rational numbers‚ which can be expressed either as finite decimals or as infinite decimals that eventually follow a repeating pattern. By contrast‚ irrational
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Art Observation For my art observation I went to preschool. I observed a Jr. Kindergarten class that consisted of 12 students between the ages of 4 and 5. It was a Monday‚ Tuesday‚ Wednesday class. The day that I observed the students and teachers sometimes (as well as the whole school) were a little distracted‚ because it was picture day. So after the students took their pictures they did their art activity so that they wouldn’t have to stop and they wouldn’t get dirty for the picture. Overall
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Best Practices for Preschool Programs: An Update on Inclusive Settings. 1. Classroom Communication- process of information sharing that consists of verbal and nonverbal transactions between teacher and students‚ or between and among students‚ in a classroom setting. 2. Classroom environment- YOUR CLASSROOM IS "HOME AWAY FROM HOME" for you and your students. Make it attractive and functional. Consider grade/age level appropriateness‚ the type of classroom activities you will be implementing‚ and your
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