Ib Math Ia Free Essays

string(23) " the Type II Criteria\." MATME/PF/M12/N12/M13/N13 MATHEMATICS Standard Level The portfolio – tasks For use in 2012 and 2013 Â © International Baccalaureate Organization 2010 7 pages For final assessment in 2012 and 2013 2 MATME/PF/M12/N12/M13/N13 C O N T E N TS T y p e I t as k s Circles T y p e I I t as k s Fish Production Gold Medal Heights INTRODUC TI ON W h a t is t h e p u r p ose of t h is d oc u m e n t ? This document contains new tasks for the portfolio in mathematics SL. These tasks have been produced by the IB, for teachers to use in the examination sessions in 2012 and 2013. It should be noted that most tasks previously produced and published by the IB will no longer be valid for assessment after the November 2010 examination session. We will write a custom essay sample on Ib Math Ia or any similar topic only for you Order Now These include all the tasks in any teacher support material (TSM), and the tasks in the document tfolio tasks 2009 The tasks in the in the 2012 examinations but N O T in 2013. Copies of all TSM tasks published by the IB are available on the Online Curriculum Centre (OCC), under Internal Assessme not be used, even in slightly modified form. W h a t h a p p e n s i f t e a c h e r s u s e t h e s e o l d t a s k s? The inclusion of these old tasks in the portfolio will make the portfolio non -compliant, and such portfolios will therefore attract a 10-mark penalty. Teachers may continue to use the old tasks as practice tasks, but they should not be included in the portfolio for final assessment. W h a t o t h e r d oc u m e n t s s h o u l d I u se? All teachers should have copies of the mathematics SL subject guide (second edition, September 2006), including the teaching notes appendix, and the TSM (September 2005). Further information, ncluding additional notes on applying the criteria, is available on the Online Curriculum Centre (OCC). Important news items are also available on the OCC, as are the diploma programme coordinator notes, which contain updated information on a variety of issues. W h i c h t as k s c a n I u se i n 2012? The only tasks produced by the IB that may be submitted for assessment in 2012 are the ones contained in this document, and those in the document Portfolio tasks 2011 2012 . There is no requirement to use tasks produced by the IB, and there is no date restriction on tasks written by teachers. For final assessment in 2012 and 2013 3 MATME/PF/M12/N12/M13/N13 C a n I u se t h ese t as k s b e f o r e M a y 2012? These tasks should only be submitted for final assessment from May 2012 to November 2013. Students should not include them in portfolios before May 2012. If they are included, they will be subject to a 10-mark penalty. Please note that these dates refer to examination sessions, not when the work is completed. W h i c h t as k s c a n I u se i n 2013? The only tasks produced by the IB that may be submitted for assessment in 2013 are the ones contained in this document. T e c h n ology There is a wide range of technological tools available to support mathematical work. These include graphic display calculators, Excel spreadsheets, Geogebra, Autograph, Geometer sketch pad and Wolframalpha. Many are free downloads from the Internet. Students (and teachers) should be encouraged to explore which ones best support the tasks that are assigned. Teachers are reminded that good technology use should enhance the development of the task. E x t r a c ts f r o m d i p lom a p r og r a m coo r d i n a to r n ot es Important information is included in the DPCN, available on the OCC. Teachers should ensure they are familiar with these, and in particular with the ones noted below. Please note that the reference to the 2009/2010 document is outdated. C op i es of t as k s a n d m a r k i n g/sol u t ion k e ys Teachers are advised to write their own tasks to fit in with their own teaching plans, to select from the 2009/2010 document, or to use tasks written by other teachers. In each case, teachers should work the task themselves to make sure it is suitable, and provide a copy of the task, and an answer, solution or marking key for any task submitted. This will help the moderators confirm the levels awarded by the teacher. It is particularly important if teachers modify an IB published task to include a copy of the modified task. While this is permitted, teachers should think carefully about making any changes, as the tasks have been written with all the criteria in mind, to allow students to achieve the higher levels. N on -co m p l i a n t po r t f ol ios f r om M a y 2012 Please note the following information on how to deal with portfolios that do not contain one task of each type. This will be applied in the May 2012 and subsequent examination sessions. If two pieces of work are submitted, but they do not represent a Type I and a Type II task (for example, they are both Type I or both Type II tasks), mark both tasks, one against each Type. For example, if a candidate has submitted two Type I tasks, mark one using the Type I c riteria, and the other using the Type II Criteria. You read "Ib Math Ia" in category "Essay examples" Do not apply any further penalty This means that the current system of marking both tasks against the same criteria and then applying a penalty of 10 marks will no longer be used. For final assessment in 2012 and 2013 4 MATME/PF/M12/N12/M13/N13 SL T YPE I A im : In this t ask you wi l l conside r a se t of numbe rs tha t a r e pr esent ed in a symme t r i c a l pa t t e rn. Consider the five rows of numbers shown below. Describe how to find the numerator of the sixth row. Using technology, plot the relation between the row number, n, and the numerator in each row. Describe what you notice from your plot and write a general statement to represent this. Find the sixth and seventh rows. Describe any patterns you used. Let E n ( r ) be the ( r 1) th element in the nth row, starting with r 15 Example: E5 (2) . 9 0. Find the general statement for E n ( r ) . Test the validity of the general statement by finding additional rows. Discuss the scope and/or limitations of the general statement. Explain how you arrived at your general statement. For final assessment in 2012 and 2013 5 MATME/PF/M12/N12/M13/N13 C IR C L ES SL T YPE I A im : The a im of this t ask is to invest i ga t e posi t ions of points in i nt e rse c t ing c i r c l es. The following diagram shows a circle C 1 with centre O and radius r, and any point P. r P O C1 The circle C 2 has centre P and radius OP. Let A be one of the points of intersection of C 1 and C 2 . Circle C 3 has centre A, and radius r. The point P is the intersection of C 3 with (OP). This is shown in the diagram below. C3 A O P’ P C2 C1 Let r 1 . Use an analytic approach to find OP , when OP 2 , OP 3 and OP 4 . Describe what you notice and write a general statement to represent this. Let OP 2 . Find OP , when r 2 , r 3 and r 4 . Describe what you notice and write a general statement to represent this. Comment whether or not this statement is consistent with your earlier statement. Use technology to investigate other values of r and OP. Find the general statement for OP . Test the validity of your general statement by using different values of OP and r. Discuss the scope and/or limitations of the general statement. Explain how you arrived at the general statement. For final assessment in 2012 and 2013 6 MATME/PF/M12/N12/M13/N13 F IS H PR O D U C T I O N SL T YPE II A im: This t ask conside rs comme r c i a l f ishing in a pa r t i cul a r count ry in two di ff e r ent envi ronments the se a and f ish f a rms (aqua cul tur e). The da t a is t a k en f rom the U N St a t ist i cs D ivisi on C ommon D a t a b a se . The following table gives the total mass of fish caught in the sea, in thousands of tonnes (1 tonne = 1000 kilograms). Y ea r T ot a l M ass 1980 426. 8 1981 470. 2 1982 503. 4 1983 557. 3 1984 564. 7 1985 575. 4 1986 579. 8 1987 624. 7 1988 669. 9 Y ea r T ot a l M ass 1989 450. 5 1990 379. 0 1991 356. 9 1992 447. 5 1993 548. 8 1994 589. 8 1995 634. 0 1996 527. 8 1997 459. 1 Y ea r T ot a l M ass 1998 487. 2 1999 573. 8 2000 503. 3 2001 527. 7 2002 566. 7 2003 507. 8 2004 550. 5 2005 426. 5 2006 533. 0 Define suitable variables and discuss any parameters/constraints. Using technology, plot the data points from the table on a graph. Comment on any apparent trends in your graph and suggest suitable models. Analytically develop a model that fits the data points. (You may find it useful to consider a combination of functions. ) On a new set of axes, draw your model function and the original data points. Comment on any differences. Revise your model if necessary. The table below gives the total mass of fish, in thousands of tonnes, from fish farms. Y ea r T ot a l M ass 1980 1. 4 1981 1. 5 1982 1. 7 1983 2. 0 1984 2. 2 1985 2. 7 1986 3. 1 1987 3. 3 1988 4. 1 Y ea r T ot a l M ass 1989 4. 4 1990 5. 8 1991 7. 8 1992 9. 1 1993 12. 4 1994 16. 0 1995 21. 6 1996 33. 2 1997 5. 5 Y ea r T ot a l M ass 1998 56. 7 1999 63. 0 2000 79. 0 2001 67. 2 2002 61. 2 2003 79. 9 2004 94. 7 2005 119. 8 2006 129. 0 Plot the data points from this table on a graph, and discuss whether your analytical model for the original data fits the new data. Use technology to find a suitable model for the new data. On a new set of axes, draw both models. Discuss how trends in the first model could be explained by trends in t he second model. By considering both models, discuss possible future trends in both types of fishing. For final assessment in 2012 and 2013 7 MATME/PF/M12/N12/M13/N13 G O L D M E D A L H E I G H TS SL T YPE II A i m : T he a i m of th i s t a sk i s to O lympi c G ames. high jump in the The table below gives the height (in centimeters) achieved by the gold medalists at various Olympic Games. 1932 Y ea r H e igh t (c m) 197 1936 203 1948 198 1952 204 1956 212 1960 216 1964 218 1968 224 1972 223 1976 225 1980 236 Note: The Olympic Games were not held in 1940 and 1944. Using technology, plot the data points on a graph. Define all variables used and state any parameters clearly. Discuss any possible constraints of the task. What type of function models the behaviour of the graph? Explain why you chose this function. Analytically create an equation to model the data in the above table. On a new set of axes, draw your model function and the original graph. Comment on any differences. Discuss the limitations of your model. Refine your model if necessary. Use technology to find another function that models the data. On a new set of axes, draw both your model functions. Comment on any differences. Had the Games been held in 1940 and 1944, estimate what the winning heights would have been and justify your answers. Use your model to predict the winning height in 1984 and in 2016. Comment on your answers. The following table gives the winning heights for all the other Olympic Games since 1896. 1896 1904 1908 1912 1920 1928 1984 1988 1992 1996 2000 2004 2008 Y ea r H eigh t (c m) 190 180 191 193 193 194 235 238 234 239 235 236 236 How well does your model fit the additional data? Discuss the overall trend from 1896 to 2008, with specific references to significant fluctuations. What modifications, if any, need to be made to your model to fit the new data? For final assessment in 2012 and 2013 How to cite Ib Math Ia, Essay examples

Assistive Technology for the Deaf free essay sample

This paper introduces assistive technology devices for persons with hearing disorders. This paper emphasizes that developments in assistive technology are expanding the communication options for the hearing disabled thus enabling them to work more independently and to increase their growth potential. The author presents fully various Assistive Listening Devices (ALDs), any type of device that helps the user function more efficiently and effectively in daily communication. The Assistive Listening Devices or ALDs are referred to any type of device that helps the user in functioning efficiently and effectively in daily communication circumstances. The people with hearing disabilities can use ALDs to overcome their inability to hear clearly. Thus assistive listening devices offer greater ease in hearing, to the person using, it and hence reduces stress and exhaustion. The use of these devices increases the hearing ability of the user as they increase intensity of sound by bringing sound directly into the ear. We will write a custom essay sample on Assistive Technology for the Deaf or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page One of the major functions of ALDs is that it reduces the background noise, which causes difficulty in hearing; it reduces the negative effects of distance between the source of sound and the hard of hearing people using the device and finally it revokes poor acoustics.

A Horror Show at the Cinemaplex Essay Example

A Horror Show at the Cinemaplex Essay Assignment: Based on the instance The Movie Exhibition Industry 2013 in the McGraw Hill article, answer the undermentioned inquiries utilizing constructs and models we have discussed in category. Answers should be completed in a short five page write-up utilizing the templets provided below. Short replies / slugs are acceptable ; nevertheless, you must include some degree of item / information sing the tendencies and analysis you are including independent of the slug points. The difficult transcript write-up is due by the start of category on February 25th. We will be holding a treatment based on this assignment in category. It would be helpful if each group member had a transcript of the finished assignment in forepart of him/her. Please supply a screen page that includes the Assignment name, Mgmt 478 , Section figure ( 006, 007, 008, 300 ) and the group members’ names. The cover sheet is the lone page that includes this information. Besides each page must hold a page figure. All pages must hold a basic. Failure to follow any of these arranging issues will incur a class punishment. All words must be spelled right and all sentences must hold right grammar. 1a ) Perform a general environment analysis. What are the relevant tendencies in the environment that are impacting the film industry by the 5 sections listed below? Demographic We will write a custom essay sample on A Horror Show at the Cinemaplex specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on A Horror Show at the Cinemaplex specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on A Horror Show at the Cinemaplex specifically for you FOR ONLY $16.38 $13.9/page Hire Writer Socio-cultural Economic Technological Political / Legal 1b ) What are the biggest chances and menaces in the industry? ( Pick no more than 2 of each and lucubrate in 3-4 sentences ) 2 ) Based on an analysis you complete, is the film exhibition industry an attractive and profitable industry in which to take part? ( After finishing the templet, include a short 2-3 sentence appraisal of overall attraction ) . Ensure that you are specific with your analyses of menaces ( e.g. high capital demands is non plenty, for what would capital demands be high? ) Industry Definition: Movie exhibitioners Force Who / What are they? Analysis of Threat ( Use ( + ) to bespeak adds to the menace, ( ) indicates decreases menace – e.g. high capital demands would be a ( – ) for possible new entrants ) Degree of Threat ( High / Medium / Low ) Potential Entrants Substitutes Dickering Power of Suppliers Dickering Power of Buyers Internal Rivalry Overall Profitability of the Incumbents Overall Attractiveness to Entrants ( Barriers to Entry )

Wind and Solar Energy

Wind and Solar Energy Introduction There is an urgent need for dependable, efficient and low-cost energy to alleviate problems of energy insecurity as well as environmental pollution. For example, Jacobson and Masters (2001) proposed that the U.S. could meet its Kyoto Protocol obligations for decreasing carbon dioxide discharges by substituting 60% of its coal production plants with wind energy turbines to supplement the country’s energy requirements (p.1438).Advertising We will write a custom research paper sample on Wind and Solar Energy specifically for you for only $16.05 $11/page Learn More Fthenakis, Mason and Zweibel (2009) also examined the economical, geographical and technical viability of solar power to supplement the energy requirements of the U.S. and concluded that it was possible to substitute the current fossil fuel energy infrastructure with solar energy in order to decrease carbon emissions to internationally accepted levels (p.397). There is no doubt tha t efforts to adopt renewable, effective and low-cost energy options have attracted global attention. Consequently, this paper will compare two forms renewable energy (wind and solar energy) in terms of cost, efficiency, energy produced, resources needed, environmental impact and maintenance. Wind Turbine Energy Technology Wind turbines usually convert wind energy into electricity. Generally, a gearbox rotates the turbine rotor into fast-rotating gears that eventually transform mechanical energy into electricity in a generator. Although a number of current turbines are gearless and less proficient, they are nonetheless useful when installed in buildings or residential homes (Jacobson Delucchi, 2011, p.1157). Solar Energy Technology Solar photo-voltaics (PVs) refers to groups of cells with silicon materials that transform solar radiation into electricity. As of now, solar PVs are utilized in several different applications, ranging from residential home power generation to medium-scal e use. On the other hand, concentrated solar power (CSP) systems utilize reflective lenses or mirrors to focus sunbeams on a liquid to warm it to a high temperature. The heated liquid runs from the collector to a heat engine in which a part of the heat is transformed into electricity. There are various forms of CSP systems that permit the heat to be stocked up for several hours to facilitate production of electricity at night (Jacobson Delucchi, 2011, p.1157). Cost, Efficiency and Energy Produced via Wind and Solar Technology Figure 1(see appendix) provides the projected amount of power available globally from renewable energy with respect to raw resources available in high-energy regions. It is worth mentioning that these resources can plausibly be mined in the near future given the location as well as the low extraction costs involved.Advertising Looking for research paper on natural sciences? Let's see if we can help you! Get your first paper with 15% OFF Learn M ore Figure 1 demonstrates that only wind and solar energy can provide adequate power to meet global energy demands. For example, wind in developable regions can satisfy global energy demands up to about 4 times over while areas with solar energy potential can meet global demands by over 18 times over (Jacobson Delucchi, 2011, p.1159). Figure 2 illustrates a model of wind resources at 100m in the hub height range of wind turbines. The global wind energy potential (available over the world’s ocean surface and land at 100m assuming that all wind at speeds is utilized to power wind turbines) has been estimated at 1700 TW. About half of this wind energy (1700 TW) is found in areas that can be extracted feasibly and efficiently (Jacobson Delucchi, 2011, p.1159). Resources Required for Wind and Solar Systems Jacobson and Delucchi (2011) estimate that both solar and wind make up 90% of the future energy supply on the basis of their relative availability (p.1160). Solar PV i s split into 70% power-plant and 30% rooftop on the basis of an assessment of the expected available rooftop area. Rooftop PV has three main benefits: it does not need new land surface; it can be incorporated into a hybrid solar infrastructure that generate electricity, light and heat for onsite use; and it neither requires an electricity transmission nor distribution infrastructure. The authors suggests that approximately 90,000 solar power plants and about 4 million wind turbines are required to satisfy global energy demands (Jacobson Delucchi, 2011, p.1160). The material required for wind turbine energy include: carbon-filament reinforced plastic (for rotor blades); glass-fiber reinforced plastic (for rotor blades); wood epoxy (rotor blades); aluminum (for nacelles); magnetic materials (for gearboxes); pre-stressed concrete (for towers); and steel materials (for rotors, nacelles, towers, etc). It is worth mentioning that most of these resources are available in abundance supply. For instance, the main components of concrete (i.e. limestone, sand, and gravel) are extensively available at lower costs and can be re-used (Jacobson Delucchi, 2011, p.1161). On the other hand, the required resources for solar PVs include: copper indium sulfide/selenide; cadmium telluride; micro-crystalline silicon; polycrystalline silicon; and amorphous silicon. Nonetheless, it is important to note that the power generated via silicon PV technologies is constrained by the limited availability of silver materials which are utilized as electrodes (Jacobson Delucchi, 2011, p.1162). Nevertheless, given that most of resources required for the installation of renewable energy plants are in abundance supply, both wind and solar energy technologies provide low-cost, environmental-friendly and efficient energy options to meet global demand.Advertising We will write a custom research paper sample on Wind and Solar Energy specifically for you for only $16.05 $11/page Lea rn More References Fthenakis, V., Mason, J., Zweibel, K. (2009). The technical, geographical, and economic feasibility of solar energy to supply the energy needs of the US. Energy Policy, 37, 387–399. Jacobson, M., Delucchi, M. (2011). Providing all global energy with wind, water, and solar, Part I: Technologies, energy resources, quantities and areas of infrastructures, and materials. Energy Policy, 39, 1154-1169. Jacobson, M., Masters, G. (2001). Exploiting wind versus coal. Science, 293, 1438. Appendix Figure 1: Power available in energy resource worldwide if the energy is used in conversion devises, in locations where the energy resource is high, in likely-developable locations, and in delivered electricity (for wind and solar energy) Energy Technology Power worldwide (TW) Power in high-energy locations (TW) Power in likely developable Locations (TW) Current power produced as electricity (TW) Wind 1700a 72-170b 40-85c 0.02 Solar PV 6500d 1300e 340 0.001 3 CSP 4600 920 240 0.00046 Source: Jacobson Delucchi (2011). a Comprises of all wind speeds at 100m over ocean and land b Locations over land or near the coast where the mean wind speed ≠¥7m/s at 80m and at 100m.Advertising Looking for research paper on natural sciences? Let's see if we can help you! Get your first paper with 15% OFF Learn More c Eliminating remote locations d Assuming 160 W panels are used over latitudes, land, and ocean. e Same as (d) but locations over land between 50S and 50N. Figure 2 Source: Jacobson Delucchi (2011).

Prepare a report for a company of your choice for the next one and Assignment

Prepare a report for a company of your choice for the next one and three years . The plan should include the following sections - Assignment Example The Mercedes Benz is too expensive to buy in the current economic conditions. The technological outlook of the industry is challenging while, the buyer power is also higher. Additionally, suppliers are executing their substantial level on companies and the barriers of entry and exit are also believed to be substantially powerful. The modifying economic conditions of the world are warranting the companies to balance out differentiation and cost effectiveness so that Mercedes can be sold in emergent markets of the world. A Business Plan for Mercedes Benz: A Changing Paradigm Introduction The Mercedes is considered one of the most expensive brands in the modern array of cars and vehicles. The company is historically targeting elite class of the world in order to generate sales for the past number of decades. However, the economic recession and depression in advanced parts of the world has seriously influenced the business of the featured company. The focal shift in the direction of emer ging market also caused the sales of the product to drop significantly. The developing regions of the globe do not have sufficient buying power needed to purchase luxurious rides in which the company specializes. However, a strategic modification is required in order to cater changing consumer preferences and behaviors in the global arena of the commerce (Kotler, Keller, Brady, Goodman, & Hensen, 2009). The company needs to develop a strategy to disseminate the benefit of long term belief that Mercedes is a brand that is reserved for an elite class of the world. Nevertheless, the per capita income in all over the globe is declining and the sense of harmony and equality is going to prevail in a few years from now. The idea of economic supremacy is going to be word of past in the future. The product with the brand name of Mercedes has finally lost its appeal because nowadays nobody is fortunate enough to afford it to say the least. The subunits of the companies that were hugely lucrat ive in the past were recently closed down as a response of insufficient demand (Baker & Hart, 2007). The latest closure took place in the English economy because the demand was not enough to house a local production unit. The changing economic paradigm has forced the people of all nations to become price sensitive as the level of disposable income is declining in all regions (Lindstrom, 2008). Vision and Mission Statement of the Company â€Å"A pioneering spirit and power of innovation for sustainable mobility. For almost 125 years we have been developing answers to the automotive challenges of the respective eras. As the inventors of the automobile, we are equally committed to protection of the climate and the environment and to the safety of our vehicles and accident prevention. Our customers - and all other road users - throughout the world can put their trust in this commitment† (Hashmi & Biesebroeck, 2013). The vision statement of the company is always considered as an a ttempt to talk to the future and give a direction to the company. The vision statement in every case must define the core values of the company for that it stands. Secondly, it is of great importance to keep on modifying the statement according to the changing environment of the industry. The featured

Tell us about a time when you failed. How did you react What, if Personal Statement

Tell us about a time when you failed. How did you react What, if anything, did you learn - Personal Statement Example I was absent for a week in October. This put me behind in all of my studies. I found that all my grades had slipped to low Cs. My Algebra II class was also a struggle. My teacher was from Africa. This was his first math class in the United States. His teaching style did not reach me or many of my fellow students. I was determined to get back on track. My determination raised my grades to Bs, except in Algebra II, by December. At the end of the year I received two Bs and As in the rest of my classes. The lesson I learned was to not exceed my limitations. My other classmates might be able to double up, but I needed to focus on quality not quantity. I also learned life does not always go as planned. If I had not contracted the Swine Flu or had a math teacher from Africa, I might have made straight As. However, I did have the Swine Flu and a teacher from Africa. It is important to not over extend myself. I do not regret my sophomore year. That year I pushed myself beyond my limitations. Although I see it as a failure due to my grades, the lesson learned was well worth the experience. I now focus on the quality of my work instead of over extending

In the News Essay Example | Topics and Well Written Essays - 250 words

In the News - Essay Example The article argues that this trend will continue to grow in future as interest of the people in the internet is expected to increase in coming years. Ad tracking companies attempt to increase the experience of the viewers and this is the main reason why they are expected to do good in future. The article also forecasts that in future customers will be targeted with more relevant and quality advertisements. The material discussed in the article is both important and relevant to course content. Internet advertisement has become an important area of advertisement. Gone are the days when managers had to worry about print and television media only. Digital media and social media is an all new territory for managers and today they have to focus more on such media in order to achieve their sales target. This is why the article is completely related to the course content and in also important for future managers. The article has great managerial implications for future marketers. The growth of internet marketing tells managers what audiences are interested in. Managers should focus more on the digital media than any other media in order to attract audiences because this is where the future