Math Portfolio HL- Type 1 INVESTIGATINGRATIOS OF AREAS AND VOLUMES The purpose of this portfolio is to investigate the ratios of areas and volumes when a function y= xn is graphed between two arbitrary parameters x=a and x=b such that a‹b. Task 1 The general formula to find area A is [pic] The general formula to find area B is [pic] Therefore‚ the ratio of Area A to Area B is- = [pic] ÷ [pic] = [pic] × [pic] = n : 1 n:1 is the general conjecture formed. The given
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GCSE Mathematics – Aiming for an A or Better Grade Criteria and exemplar examination questions to get a Grade A or A* in the following topics: 1. Surds 2. Recurring Decimals 3. Limits of Accuracy 4. Indices 5. Proportionality 6. Rearranging Formulae 7. Algebraic Fractions 8. Using Graphs 9. Quadratic Equations 10. Simultaneous Equations 11. Algebraic Proofs 12. Circle Theorems 13. Trigonometry – for triangles which are not right-angled 14. Vectors
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Angeline Foote 00215-‐0022 Mathematics SL Inter’l School of Tanganyika 2014 The Birthday Paradox: An Exploration of Probability Angeline Foote Candidate number: 00215-‐0022 Mathematics Standard Level Teacher: Mr. Michael Smith International School of Tanganyika 2014
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IB Physics Internal Assessment Andy Tang Research Question In this internal assessment‚ I am given a cantilever to find the physical properties of it. I decide to investigate the relationship between the force I act on one side of the cantilever and the maximum acceleration the tail can reach. This experiment will be also showing the elasticity of the cantilever. Since I pull down one side of it and fixed the other side‚ when I cut the string‚ it will bounce up and down until all the internal
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2013-2014 Standard Level IB Business and Management Internal Assessment Will the acquisition of Tumblr by Yahoo significantly help this former “internet pioneer regain traction with younger internet users”? Word Count: 1438 Candidate Name: Phoebe‚ Leung Ching Lam Candidate Number: 003069-037 Class: F6.CassiaContents Page 1. Introduction The purpose of this essay is to investigate whether the acquisition of Tumblr by Yahoo will significantly help the former Internet pioneer regain
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XYZ IB SL Math Circles Aim: The aim of this task is to investigate positions of points in intersecting circles. Introduction: The above diagram shows that distance r is the distance between any point‚ such as A‚ and the center of the circle‚ O‚ of the circle C1. The circle C2 has centre P and radius OP. A is one of the points of intersection of C1 and C2. Circle C3 has centre A‚ and radius r. The point P’ is the intersection of C3 with (OP). The r=1‚ OP=2‚ and P’=0.5. This is shown
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IB Math Studies Internal Assessment: What is the Relationship between SAT Scores and Family Income of the Test Takers around the World? Exam Session: May 2015 School name: Jim Hill High School Teacher: Ms. Davis Date: December 15‚ 2015 Course: IB Math Studies Word Count: 1‚597 Name: Jasmine A. Wells Introduction The SAT examination is mostly in today’s world of academics‚ a requirement of getting accepted into collage. Not only is it enough to take the examination but the
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Cyclone devastates Australia’s banana crop- Practice IA Introduction to theory: Demand and supply are basic economic theories that can help the government and producers make informed decisions like how much to produce‚ and the price they set for products. Connection to article: The recent Cyclone Larry has affected crops in Australia‚ decreasing their supply of bananas drastically‚ as well as causing a decrease in the employment of workers in the banana industry. Analysis: Demand is the curve that
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revolution and a civil war between the fascism and the left side which included socialists‚ communists and anarchists.1 · Before the Spanish Civil War began‚ Spain was a passing through the Second Republic‚ born in 1931. Its president was Manuel Azaña.2 The Second Republic was established after Primo de Rivera resignation in 1930‚ having not resolved any economic issue in Spain. Spain had massive debts‚ and after the Wall Street Crash (1929) it was even worse. After a coalition of parties between the
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an be measured. ➔ The reaction mixture is called the system and anything around the system is called the surroundings. ➔ Thermochemical equations give the balanced equation with the enthalpy change. ◆ H₂ (g) + 1/2 O₂ (g) → H₂O (l) ; ∆H°= 286 kJ mol⁻¹ ◆ H₂ (g) + 1/2 O₂ (g) → H₂O (g) ; ∆H°= 242 kJ mol⁻¹ ● The reason there is a difference in the enthalpy is because the first equation the water produced is in liquid state; this allows through convection currents for the heat to be kept
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