HOUSE MATHS 2011. Reigning Champions St Anne’s, JK and Kernick. Round 1: Fizz Buzz Round 2: Speed Round Round 3: Tangrams Round 4: Safari. PRACTICE. Multiples of 3 - POP Multiples of 8 - BUZZ Triangular numbers - TING

ByChapter 1. Fundamentals of the Analysis of Algorithm Efficiency. Body of Knowledge Coverage: Basis Analysis (AL). Basis Analysis (AL) Asymptotic Analysis, empirical measurement. Differences among best, average, and worst case behaviors of an algorithm.

ByPatterns and Growth. John Hutchinson. Problem 1: How many handshakes?. Several people are in a room. Each person in the room shakes hands with every other person in the room. How many handshakes take place?. Is there a pattern?. Here’s one. Here’s another. What is:.

ByAgile Estimation & Sizing. Introduction (v1.0 ). Today. Welcome Purpose Estimating & Sizing in Agile Points & Planning Poker Exercise 1 – Planning Poker Break Planning and Execution Exercise 2 – Estimating for Real Summary Q&A Evaluation. Welcome. Video recording.

ByChapter 1. Fundamentals of the Analysis of Algorithm Efficiency. Introduction – What is an Algorithm? An algorithm is a sequence of unambiguous instructions for solving a problem, i.e., for obtaining a required output for any legitimate input in a finite amount of time.

ByFibonacci Numbers and the Golden Ratio. What is the Golden Ratio ?. Well, before we answer that question let's examine an interesting sequence (or list) of numbers. Actually the series starts with 0, 1 but to make it easier we’ll just start with: 1, 1.

ByCLASSICISM. Ancient Greece & Rome 800 B.C – 450 A.D. Philosophy of Art. The arts present the universal idea of beauty through logic, order, reason and moderation. The purpose of the arts is to show perfection in human form and structure. Characteristics of the Arts.

BySequences & Summation Notation 8.1. JMerrill, 2007 Revised 2008. Sequences In Elementary School…. 12. 12. 32. And…. 17. 12. Even. 12. 22. Sequences. SEQUENCE - a set of numbers, called terms, arranged in a particular order. . Sequences.

ByTEAM MATHS CHALLENGE 2011. Round 2. PRACTICE. Multiples of 4 - POP Square numbers - WOOF Fibonacci numbers - FIB [ Each number in the Fibonacci sequence is the sum of the previous two numbers - 1, 1, 2, 3, 5, ...]. ACTUAL. Triangular number - TING

ByScience 100. Science 100 What are insects?. Science 200. Science 200 What is the solar system? . Science 300. Science 300 What are rocks and minerals?. Science 400. Science 400 What is electricity?. Science 500. Science 500

By2.1 Inductive Reasoning. Inductive reasoning is the process of observing data, recognizing patterns, and making generalizations based on those patterns . Conjecture is a generalization based on inductive reasoning. An example of inductive reasoning.

ByBinomial Forms. Expansion of Binomial Expressions. Polynomial Functions. Special Forms Difference of Squares (Conjugate Binomials) a 2 – b 2 = ( a – b)( a + b) Difference of n th Powers a n – b n = ( a – b)( a n–1 + a n–2 b + a n–3 b 2 + ... + a b n–1 + b n–1 ).

ByChoose Ohio First Scholarship Program Success in Mathematics The University of Akron. By: Clara Ditto, Joe Gaone , Christina Ward. The Golden Ratio. Fibonacci Sequence. 0, 1. 0 + 1 = 1. 0, 1 + 1 = 2. 0, 1, 1 + 2 = 3. 0, 1, 1, 2 + 3 = 5. 0, 1, 1, 2, 3 + 5 = 8.

ByThe Renaissances of the Twelfth Century. Literature and Philosophy. Aristotle, Logic, and Theology. Appeal of Aristotle Logic Drive to make faith reasonable Anselm’s ontological proof: Proslogion Abelard Sic et Non , Glosses on Porphyry (source 5.14) Averroes: called “the Commentator”

ByRecursion. Recursion Recursion is the name given for expression anything in terms of itself. Recursive function is a function which calls itself until a particular condition is met. The factorial function

ByFibonacci Spiral Richard Kwong MAT 385. What is the Fibonacci Spiral?. The Fibonacci Spiral is created from the Fibonacci Sequence. The Fibonacci sequence is a mathematical succession of numbers in which each number is obtained by adding together the last 2 digits that came before it .

ByPhilosophy: The Big Questions Review. The Big Questions. What is a human? A person? Who Am I? Ethics: Good and Evil? What is happiness? What is the good life? Aesthetics – What is art? What is beauty? What is government – What’s the best way to organize society? What is a just society?.

ByRecursion. Lecture 6 CS2110 – Spring 2013. Recursion. Arises in three forms in computer science Recursion as a mathematical tool for defining a function in terms of its own value in a simpler case

ByRecursion and Recurrence Relations. An Introduction. Recursion. A technique of defining a function, a set or an algorithm in terms of itself is a “recursion”. For Example: Factorial !n=n X !(n-1), and !0=! 1=1 Fibonacci sequence f 0 =1, f 1 =1 and f k =f k-2 +f k-1 for k≥2 .

By22C:19 Discrete Structures Sequence and Sums. Spring 2014 Sukumar Ghosh. Sequence. A sequence is an ordered list of elements. . Examples of Sequence. Examples of Sequence. Examples of Sequence. Not all sequences are arithmetic or geometric sequences. An example is Fibonacci sequence.

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