Solid Geometry on ACT Math The Complete Guide

Solid Geometry on ACT Math The Complete Guide SAT / ACT Prep Online Guides and Tips Geometry is the branch of mathematics that deals with points, lines, shapes, and angles. ACT geometry questions will test your knowledge of the shapes, sizes, and volumes of different figures, as well as their positions in space. 33% of ACT math problems(about 18 questions total) will involve geometry, depending on the particular test. Because geometry as a wholecovers so many different mathematical concepts, there are several different subsections of geometry (including planar, solid, and coordinate). We will cover each branch of geometryin separate guides, complete with a step-by-step approach to questions and sample problems. This articlewill be your comprehensive guide to solid geometry on the ACT. We’ll take you through the meaning of solid geometry, the formulas and understandings you’ll need to know, and how to tackle some of the most difficult solid geometry questionson the ACT math section. Before you continue, keep in mind that there will usually only be 1-2 solid geometry questions on any given ACT, so you should prioritize studying planar (flat) geometry and coordinate geometry (coming soon!) first.Save learning this guide for last in terms of your geometry study ACT math prep. Before you descend into the realm of solid geometry, make sure you are well versed in plane geometry and coordinate geometry! What is Solid Geometry? Solid geometry is the name for geometry performed in three dimensions. It means that another dimensionvolumeis added to planar (flat) geometry, which only uses height and length. Instead of flat shapes like circles, squares, and triangles, solid geometry deals with spheres, cubes, and pyramids (along with any other three dimensional shapes).And instead of using perimeter and area to measure flat shapes, solid geometry uses surface area and volume to measure its three dimensional shapes. A circleis a flat object. This is plane geometry. A sphere is a three-dimensional object. This is solid geometry. On the ACT, most of the solid geometry problems are located at the end of the mathsection. This means solid geometry problemsare considered some of the more challenging questions (or ones that will take the longest amount of time, as they often need to be completed in multiple pieces).Use this knowledgeto direct your study-focus to the most productive avenues. If you are getting several questions wrong on the first 40 questions in themath section, it might be more productive for you to take the time to first refresh your overall understanding of the math concepts covered by the ACT. You may also want torefresh your understanding of all the ACT math formulas you’ll need. Note: some of these formulas are given to you on the test in the question itself, but this is often inconsistent. For example, on some ACTs, the formula for the volume of a cylinder is given, other times it is not. If you are unsure which formulas are given or not given in the math section, refresh your formulas knowledge. A typical problem in which you are given the formula in the question. Though many of the formulas are given, it is still important for you to understand how they work and why. The formulas marked â€Å"Necessary to know† are ones you should memorize, but the others will all be given. So don’t worry too much about memorizing them, but do pay attention to them in order to deepen your understanding of the principles behind solid geometry on the ACT. In this guide, I’ve divided the approach to ACT solid geometry into three categories: 1)Typical ACT solid geometry questions 2)Types of geometric solids and their formulas 3)How to solve an ACT solid geometry problem Solid geometry adventure here we come! Typical Solid Geometry Questions on the ACT Before we go through the formulas you'll need to tacklesolid geometry, it's important to familiarize yourself with the kinds of questions the ACT will ask you about solids. ACT solid geometry questions will appear in two formats: questions in which you are given adiagram, and word problem questions. No matter the format, each type of ACT solid geometry questionexiststotestyour understanding of the volume and/or surface area of a figure. You will be asked how to find the volume or surface area of a figure or you'll be asked to identify how a shape's dimensions shift and change. Diagram Problems A solid geometry diagram problem will provide you with a drawingof a geometrical solid and ask you to find a missing element of the picture. Sometimes they will ask you to find the volume of the figure, the surface area of the figure, or the distance between two points on the figure. They may alsoask you to compare the volumes, surface areas, or distances of several different figures. Word Problems Solid geometry word problemswill usually ask you tocomparethe surface areas or volumes of two shapes. They will often giveyou the dimensions of one solid and then tell youto compare its volume or surface area to a solid with different dimensions. Other word problems mightask you to contain one shape within another. This is just another way of getting you to think about a shape's volume and ways to measure it. What is the minimum possible volume of acube, in cubic inches,thatcouldinscribe a sphere with a radius of 3 inches? A) $12√3$ (approximately $20.78$) B) $24√3$ (approximately $41.57$) C) $36√3$ (approximately $62.35$) D) $216$ E)$1728$ This is a typical inscribing solids word problem. We'll go through how to solve it later in the guide. Solid geometry word problemscan be confusing to many people, because it can be difficult to visualize the question without apicture. As always with word problems that describe shapes or angles, make the drawing yourself! Simplybeing able to seewhat a question is describing can do wonders to help clarify the question. Overall Every solid geometry question on the ACT is concerned with either the volume or surface area of a figure, or the distance between two points on a figure. Sometimes you'll have to combine surface area and volume, sometimes you'll have to compare two solids to one another, but ultimately all solid geometry questions boil down to these concepts. So now let's go through our ACT math tips on how to find volumes, surface areas, and distances of all the different geometric solids. A perfect example of geometric solidsin the wild Prisms A prism is a three dimensional shape that has (at least) two congruent, parallel bases. Basically, you could pick up a prism and carry it with its opposite sides lying flat against your palms. A few of the many different kinds of prisms. Rectangular Solids A rectangular solid is essentially a box. It has three pairs of opposite sides that are congruent and parallel. Volume Necessary to know $\Volume = lwh$ The volume of a figure is the measure of its interior space. $l$ is the length of the figure $w$ is the width of the figure $h$ is the height of the figure Notice how this formula is the same as findingthe area of the square ($A = lw$) with the added dimension of height, as this is a three dimensional figure. First, identify the type of questionis it asking for volume or surface area? The question asksabout the interior space of a solid, so it's a volume question. Now we need to finda rectangular volume, but this question is somewhat tricky. Notice that we're finding out how much water is in a particular fish tank, but the water does not fill up the entire tank. If we just focus on the water, we would find that it has a volume of: $V = lwh$ = $(4)(3)(1) = 12\cubic\feet$ (Why did we multiply the feet and width by 1 instead of 2? Because the water only comes up to 1 foot; it does not fill up the entire 2 feet of height of the tank) Nowwe are going to put that 12 cubic feet of water into a second tank. This second tank has a total volume of: $V = lwh$ = $(3)(2)(4) = 24\cubic\feet$ Although the second tank can hold 24 cubic feet of water, we are only putting in 12. So $12/24 = 1/2$. The water will come up at exactly half the height of the second tank, which means the answer is D, 2 feet. Either way, those fish won't be very happy in half a tank of water Surface Area Necessary to know $\Surface\area = 2lw + 2lh + 2wh$ In order to find the surface area of a rectangular prism, you are finding the areas for all the flat rectangles on the surface of the figure (the faces) and then adding those areas together. In a rectangular solid, there are six faces on the outside of the figure. They are divided into three congruent pairs of opposite sides. If you find it difficult to picture surface area, remember that a die has six sides. So you are finding the areas of the three combinations of length, width, and height ($lw$, $lh$, and $wh$), which you then multiply by two because there are two sides for each of these combinations.The resulting areas are then all added together to getthe surface area. Diagonal Length Necessary to know (Note: it will be necessary for you to know how to find the diagonal, but you don't have to memorize the formula. Continue reading for more details on this.) $\Diagonal = √[l^2 + w^2 + h^2]$ The diagonal of a rectangular solid is the longest interior line ofthe solid. It touches from the corner of one side of the prismto the opposite corner on the other. You can find this diagonal by either using the above formula or by breaking up the figure into two flat triangles and using the pythagorean theorem for both. You can always do this is you do not want to memorize the formula or if you're afraid of mis-remembering the formula on test day. First, find the length of the diagonal (hypotenuse) of the base of the solid using the pythagorean theorem. $c^2 = l^2 + w^2$ Next, use that length as one of the smaller sides of a new triangle with the diagonal of the rectangular solid as the new hypotenuse. $d^2 = c^2 + h^2$ And solve for the diagonal using the pythagorean theorem again. Cubes Cubes are a special type of rectangular solid, just like squares are a special type of rectangle A cubehasa height, length, and width that are all equal. The six faces on a cube's surface are also all congruent. Volume Necessary to know $\Volume = s^3$ $s$ is the length of the side of a cube (any side of the cube, as they are all the same). This is the same thing as finding the volume of a rectangular solid ($v = lwh$), but, because their sides are all equal, you can simplify it by saying $s^3$. First, identify what the question is asking you to do. You're trying to fit smallerrectangles into a larger rectangle, so you're dealing with volume, not surface area. Find the volume of the larger rectangle (which in this case is a cube): So you can use the formula for the volume of a cube: $\Volume = s^3$ = $6^3 = 216$ Or you can use the formula to find the volume of any rectangular solid: $\Volume = lwh$ = $(6)(6)(6) = 216$ Now find the volume of one of the smaller rectangular solids: $\Volume = lwh$ = $(3)(2)(1) = 6$ And divide the larger rectangular solid by the smaller to find out how many of the smaller rectangular solids can fit inside the larger: $216/6 = 36$ So your final answer is D, 36 SurfaceArea Necessary to know $\Surface\area = 6s^2$ This is the same formulas as the surface area for a rectangular solid ($SA = 2lw + 2lh + 2hw$). Because all the sides are the same in a cube, you can see how $6s^2$ was derived: $2lw + 2lh + 2hw$ = $2ss + 2ss + 2ss$ = $2s^2 + 2s^2 + 2s^2$ = $6s^2$ You can approach this question in two ways: by using the formula or by doing it out longhand. If you use the formula for the surface area of a cube, you can say: $\Surface\area = (6)(3^2)$ $SA = (6)(9) = 54$ If you forget the formula (or are afraid of messing it up come test day), you can always do it out longhand: $\Surface\area = ss + ss + ss + ss + ss + ss$ or $SA = (ss)(6)$ (Remember that there are six faces on a cube like the six faces on a die) $SA = (3)(3) + (3)(3) + (3)(3) + (3)(3) + (3)(3) + (3)(3)$ or $SA = (3)(3)(6)$ $SA = 9 + 9 + 9 + 9 + 9 + 9 = 9(6) = 54$ Either way, you getthe answer K, 54 Diagonal Length Necessary to know (Note: it will be necessary for you to know how to find the diagonal, but you don't have to memorize the formula. Continue reading for more details on this.) $\Diagonal= s√3$ Just as with the rectangular solid, you can break up the cubeinto two flat triangles and use the pythagorean theorem for both as an alternative to the formula. This is the exact same process as finding the diagonal of a rectangular solid. First, find the length of the diagonal (hypotenuse) of the base of the solid using the pythagorean theorem. Next, use that length as one of the smaller sides of a new triangle with the diagonal of the rectangular solid as the new hypotenuse. Solve for the diagonal using the pythagorean theorem again. Cylinders A cylinder is a prism with two circular bases on its opposite sides Volume Necessary to know $\Volume = Ï€r^2h$ $Ï€$ is the universal constant, also represented as 3.14(159) $r$ is the radius of the circular base. It is any straight line drawn from the center of the circle to the circumference of the circle. $h$ is the height of the circle. It is the straight line drawn connecting the two circular bases. This problemgives you the formula for a cylinder, but the ACT is often inconsistent about this. Notice that this is problem #29 (an easy-medium level question), so you are given the formula. If this had been question #49, you would likely not have been given the formula. But because you are given the formula, it's easy toplug in your values into it. Pay attention, however, to exactly what the question is asking you to do. Just like with the fish tank question above, you are not being asked to fill up the whole container with water, only some of it. So if $\volume =Ï€r^2h$, then $V =Ï€(12^2)(5)$ (The radius is 12 because radius is half the diameter and the full diameter is 24. The height is 5 because the question tells us that we are only filling up the container to 5 feet). $V = 720Ï€ = 2,261.9448$ So the answer is C,2,262 Surface Area $\Surface\area = 2Ï€r^2 +2Ï€rh$ To find the surface area of a cylinder, you are adding the volume of the two circular bases ($2Ï€r^2$), plus the surface of the tube as if it were unrolled ($2Ï€rh$). The surface of the tube can also be written as $SA = Ï€dh$, because the diameter is twice the radius. In other words, the surface of the tube is the formula for the circumference of a circle with the additional dimension of height. Non-Prism Solids Non-prism solids are shapes in three dimensions that do not have any parallel, congruent sides. If you picked these shapes up with your hand, a maximum ofone side (if any) would lie flat against your palm. Cones A cone is similar to a cylinder, but has only one circular base instead of two. Its opposite end terminates in a point, rather than a circle. There are two kind of conesright cones and oblique cones. For the purposes of the ACT, you only have to concern yourself with right cones. Oblique cones will never appear on the ACT. A right cone has an apex (the terminating point on top) that sits directly above the center of the cone’s circular base. When a height ($h$) is dropped from the apex to the center of the circle, it makes a right angle with the circular base. Volume $\Volume = 1/3Ï€r^2h$ $Ï€$ is a constant, written as 3.14(159) $r$ is the radius of the circular base $h$ is the height, drawn at a right angle from the cone’s apex to the center of the circular base The volume of a cone is $1/3$ the volume of a cylinder. This makes sense logically, as a cone is basically a cylinder with one base collapsed into a point. So a cone’s volume will be less than that of a cylinder. Surface Area $\Surface\area = Ï€r^2 + pirl$ $l$ is the length of the side of the cone extending from the apex to the circumference of the circular base The surface area is the combination of the area of the circular base ($Ï€r^2$) and the lateral surface area ($Ï€rl$) Because right cones make a right triangle with side lengths of: $h$, $l$, and $r$, you can often use the pythagorean theorem to solve problems. Pyramids Pyramids are geometric solids that are similar to cones, except that they have a polygon for a base and flat, triangular sides that meet at an apex. There are many types of pyramids, defined by the shape of their base and the angle of their apex, but for the sake of the SAT, you only need to concern yourself with right, square pyramids. A right, square pyramid has a square base (each side has an equal length) and an apex directly above the center of the base. The height ($h$), drawn from the apex to the center of the base, makes a right angle with the base. Volume $\Volume = 1/3\area\of\the\base * h$To find the volume of a square pyramid, you could also say $1/3lwh$ or $1/3s^2h$, as the base is a square, so each side length is the same. Spheres A sphere is essentially a 3D circle. In a circle, any straight line drawn from the center to any point on the circumference will all be equidistant. This distance is the radius ($r$). In a sphere, this radius can extend in three dimensions, so all lines from the surface of the sphere to the center of the sphere are equidistant. Volume $\Volume = 4/3Ï€r^3$ Inscribed Solids The most common inscribed solids on the ACT math section will be: cube inside a sphere and sphere inside a cube. You may get another shape entirely, but the basic principles of dealing with inscribed shapes will still apply. The question is most often a test ofYou’ll often have to know the solid geometry principles and formulas for each shape individually to be able to put them together. When dealing with inscribed shapes, draw on the diagram they give you. If they don’t give you a diagram, make your own!By drawing in your own lines, you’ll be better able to translate the three dimensional objects into a series of two dimensional objects, which will more often than not lead you to your solution. Understand that when you are given a solid inside another solid, it is for a reason. It may look confusing to you, but the ACT will always give you enough information to solve a problem. For example, the same line will have a different meaning for each shape, and this is often the key to solving the problem. So we have an inscribed solid and no drawing. So first thing's first, make your drawing! Now because we have a sphere inside a cube, you can see that the radius of the sphereis always half the length of any side of the cube (because a cube by definition has all equal sides). So $2r$ is the length of all the sides of the cube. Now plug $2r$ into your formula for finding the volume of a cube. You can either use the cube volume formula: $V = s^3$ = $(2r)^3 = 8r^3$ Or you can use the formula to find the volume of any rectangular solid: $V = lwh$ = $(2r)(2r)(2r) = 8r^3$ Either way, you getthe answer E,$8r^3$ Notice how answer B is $2r^3$. This is a trick answer designed to trap you. If you didn't use parentheses properly in your volume of a cube formula, you would have gotten $2r^3$. But if you understand that each side length is $2r$ and so that entire length must be cubed, then you will get the correct answer of $8r^3$. For the vast majority of inscribed solids questions, the radius (or diameter) of thecircle will be the key to solving the question.The radiusof the sphere will be equal to half the length of the side of a cube if the cube is inside the sphere (as in the question above). This means that the diameter of the sphere will be equal to one side of the cube, because the diameter is twice the radius. But what happens when you have a sphere inside a cube? In this case, the diameter of the sphere actually becomes the diagonal of the cube. What is the maximum possible volume of acube, in cubic inches,thatcould be inscribed inside a sphere with a radius of 3 inches? A) $12√3$ (approximately $20.78$) B) $24√3$ (approximately $41.57$) C) $36√3$ (approximately $62.35$) D) $216$ E)$1728$ First, draw out your figure. You can see that, unlike when the sphere was inscribed in the cube, the side of thecube is not twice the radius of the circle because there are gaps between the cube's sides and the circumference of the sphere. The only straight line of the cube that touches two opposite sides of the sphere is the cube's diagonal. So we need the formula for the diagonal of a cube: $\side√3 = \diagonal$ $s√3 = 6$ (Why is the diagonal 6? Because the radius of the sphere is 3, so $(3)(2) = 6$) $3s^2 = 36$ $s^2 = 12$ $s = √12$ $(√12)^3 = 12√12 = 24√3$ Though solid geometry may seem confusing at first,practice and attention to detail will have you navigating the way to the correct answer The Take-Aways The solid geometry questions on the ACT will alwaysask you about volume, surface area, or the distance between points on the figure. The way they make it tricky is by making you compare the elements of different figures or by making you take multiple steps per problem. But you can always break down any ACT question into smaller pieces. ACT Math Strategy: The Steps to Solvinga Solid Geometry Problem 1) Identify what the problem is asking you to find. Is the problem asking about cubes or spheres? Both? Are you being asked to find the volume or the surface area of a figure? Both? Make sure you understandwhich formulas you'll need and what elements of the geometric solid(s) you are dealing with. 2) Draw it out Draw a picture any time they describe a solid without providing you with a picture. This will often make it easier to see exactly what information you have and how you can use that information to find what the question is asking you to provide. 3) Use your formulas Once you've identified the formulas you'll need, it's often a simple matter of plugging in your given information. If you cannot remember your formulas (like the formula for a diagonal, for example), use alternative methods to come to the answer, like the pythagorean theorem. 4) Keep your information clear and double check your work Did you make sure to label your work? The makers of the test know that it's easy for students to get sloppy in a high-stress environment and they put in bait answers accordingly. So make sure thevolume for your cylinder and thevolume for your cube are labeled accordingly. And don't forget to give your answer a double-check if you have time! Does it make sense to say that a box with a height of 20 feet can fit inside a box with a volume of 15 cubic feet? Definitely not! Make sure all the elements of your answer and your work are in the right place before you finish. Follow the steps to solving your solid geometry problems andyou'll get that gold Solid geometry is often not as complex as it looks; it is simply flat geometry that has been taken into the third dimension. If you can understand how each of these shapes changes and relate to one another, you’ll be able to tackle this section of the ACT with greater ease than ever before. What's Next? Now that you've done your paces onsolid geometry, it might be a good idea to review all the math topics tested on the ACT to make sure you've got them nailed down tight. Want to get a perfect score? Check out our article onHow to a 36 on the ACT Mathby a 36ACT-Scorer. Don't know where to begin?Look no further than our articles onwhat is considered a good, bad, or excellent ACT score And if you find yourself running out of time on the math section, look no further than our articles onhow to stop running out of time on the ACT math. Want to improve your ACT score by 4 points? Check out our best-in-class online ACT prep program. We guarantee your money back if you don't improve your ACT score by 4 points or more. Our program is entirely online, and it customizes what you study to your strengths and weaknesses. If you liked this Math lesson, you'll love our program.Along with more detailed lessons, you'll get thousands ofpractice problems organized by individual skills so you learn most effectively. We'll also give you a step-by-step program to follow so you'll never be confused about what to study next. Check out our 5-day free trial:

Which IB Courses Can I Take Online Can I Get an Online IB Diploma

Which IB Courses Can I Take Online Can I Get an Online IB Diploma SAT / ACT Prep Online Guides and Tips Wow, the world has changed a lot for us old folks who graduated in high school in 2010. While you cannot get your IB diploma or International Baccalaureate diploma online, you cantake several IB coursesonline if you are enrolled in an IB World School (I'll go into more detail on this below). In this article, I'll cover: Who can take IB courses online? Why would you want to take IB coursesonline? Do the online IB classes add to your diploma? What do you mean you can't get your IB Diploma online? How do online IB courses work? The IB courses that are not currently available The IB coursesthat are available and where to find them online. For more in-depth descriptions of what each class entails, check out our other article on IB Complete Course List of Offerings. For an in-depth overview of the International Baccalaureate Diploma Programme (which will be helpful to understand before reading this article), check out our other article on What is the IB Program, and What are IB Classes? Who Can Take IB Courses Online? Unfortunately at this point in time, Pamoja Education (the only current provider of online IB courses) only allows students who are currently enrolled in theDiploma Programmeor theCareer-related Programmeat an IB World School (a school that offers an IB program) to take their online classes. In other words, onlystudents currently in an IB program can take IB courses online. If you are currently at an IB World School and would like to take IB courses online, contact your IB program coordinator for help with the enrollment process. Why Would You Want to Take IB Courses Online? Taking IB classes online is a great way to access IB classes that your IB world school may not currently offer. For example, if you are very passionate about Film, but your IB world school does not offer Film SL or HL, you can take IB Film SL online through Pamoja Education. Additionally, online IB courses can be great options for IB students who need a more flexible schedule. For example, if you need to get out of school early because you also play a competitive sport or need to work a job, online courses give you that flexibility. Do the Online IB Classes Add to Your Diploma? Yes, taking IB classes online will help you get your IB diploma.You can take classes from 4 of the 6 required subject groups online, and you can also complete part of the core (Theory of Knowledge class and Extended Essay) online. I will explain this in more detail below. However, at this point in time, you cannot get an IB Diploma online. What Do You Mean You Can't Get Your IB Diploma Online? You cannot get an IB Diploma online yet because you are not able to complete all of the requirements for an IB Diploma online. Some of the required classes (in Literature and Science) aren't offered online. To read more about the requirements, read our article:What is the IB Program, and What are IB Classes?. As a brief overview, to qualify to receive your IB Diploma, you must take a class from each of these six subject groups: Group 1: Language and literature Group 2: Language acquisition Group 3: Individual and societies Group 4: Science Group 5: Mathematics Group 6: Arts Yousubstitute the Group 6 requirement with an additional course from one of the other 5 groups. In addition to these classes, you must also complete the 3 requirements that make up what is known as the Core: Theory of Knowledge / TOK A class that is a mixture of philosophy and politics. It is the only class for whichdo you do not take a written exam. Extended Essay / EE A 4,000-word mini-thesis on the topic of your choosing. You must have an IB teacher supervising your work. Creativity, Action, Service / CAS hours A project that encourages students to get involved in extracurricular activities. Students must complete a creative project (such as learning to play guitar), an action project (such as learning to rock climb or play a varsity sport), and a service project (such as feeding the homeless). How Do Online IB Courses Work? To enroll in an online class, you must ask your IB program coordinator. According to Pamoja Education, "In online classrooms of approximately 25 students from around the world, teachers introduce weekly lessons, guide discussion and provide feedback to stimulate critical thinking and promote â€Å"lifelong learning† habits... Live lessons stimulate simultaneous interactions in the classroom; forums and blogs encourage students to reflect on their learning; online resources help support students in their learning; news feeds bring subjects alive within the context of current events and issues." All materials are provided online and saved online. Live lessons are saved and archived so that they can be viewed at any time. All work is submitted online, and teachers review the work and provide individual feedback.The classes are structured into a typical school year. There are 2 semesters with 2 terms in each semester with a short break between the terms. Just as most high schools have 4 quarters split into 2 semesters with a spring (and sometimes fall) break. So, what IB classes are not available online? Classes That Are Currently Available Online Group 2: Language Acquisition Classical languages SL/HL Group 3: Individual and Societies Geography SL/HL History SL/HL Philosophy HL Social and cultural anthropology SL/HL World religions SL Global Politics SL/HL Group 4: Science Biology SL/HL Computer Science SL/HL Chemistry SL/HL Design Technology SL/HL Physics SL/HL Sports, exercise and health science (SL only) The lack of these courses also prevents you from getting your IB Diploma online.You are required to take one of these courses to get your IB Diploma. Group 5: Mathematics Further Mathematics HL Mathematical studies SL Group 6: Arts Dance SL/HL Theatre SL/HL Film HL Visual Arts SL/HL Music SL/HL Classes That Are Currently Available Online and Where to Find Them All of these online classes are offered through Pamoja Education: Group 1: Language and Literature Language A: literature SL/HL Language A: language and literature SL/HL Literature and performance SL Group 2: Language Acquisition Spanish B SL Spanish ab initio Mandarin ab initio French ab initio Group 3: Individual and Societies Business management SL Business management HL Economics SL Economics HL Information technology in a global society SL Information technology in a global society HL Philosophy SL Psychology SL Psychology HL Group 5: Mathematics Mathematics: Analysis and Approaches HL Mathematics: Analysis and Approaches SL Mathematics: Applications and Interpretations HL Mathematics: Applications and Interpretations SL Group 6:Arts Film SL The Core These classes/projects are required to receive your IB diploma. Theory Of Knowledge / TOK Extended Essay / EE While this is not a class, if you are pursuing a diploma from an IB School, you will need to complete an Extended Essay. Through Pamoja Education, you can get access to an extended essay supervisor. They have over 100 teachers. What’s Next? Are you hoping to squeeze in some extra IB classes? Learn about the IB courses offered online. Studying for the SAT? Check out our complete guide to the SAT.Taking the SAT in the next month? Check out our guide to cramming. Not sure where you want to go to college? Check out our guide to finding your target school. Want to improve your SAT score by 160points or your ACT score by 4 points?We've written a guide for each test about the top 5 strategies you must be using to have a shot at improving your score. Download it for free now:

Globalising with a local flair Essay Example | Topics and Well Written Essays - 1500 words

Globalising with a local flair - Essay Example â€Å"The globalisation of markets has certainly accelerated through almost universal acceptance of the democratic free enterprise model and new communication technologies, including satellites and the Internet† (Cateora 2005). However, many of these companies that are inexperienced in marketing overseas incorrectly assume that their products or services will be easily accepted in foreign markets. Even when remaining concentrated within a single country or when marketing their goods to countries individually, companies facing international competitors will fare better if they have a global perspective in mind. As mentioned by Cateora, all these companies are or will be affected by competitive activity in the global marketplace (2005). To illustrate this concept, Cateora relates the story of US-based General Electric Lighting, who dominated the US lighting market until its rival, Westinghouse, sold its operations to Philips Electronics of Holland. Philips was then able to come in to the US market to compete from a stronger marketing position. Based on the experiences of companies such as General Electric Lighting and others, all companies that operate in international marketing arenas should adopt a modified globalisation strategy that includes a wide range of standardized products, but remains open to small market-specific variations designed to satisfy consumer needs, wants and tastes in smaller regions.

Influence of buddhism on asia Essay Example | Topics and Well Written Essays - 1250 words

Influence of buddhism on asia - Essay Example Buddhism is one of the older religions of the world and is considered a noble religion. It originated in India. Buddhism is a religion of tolerance and breeds’ compassion in its followers. This is reflected in the character of the people that have adopted it and has spread this philosophy to the religions that it has influenced. Buddhism spread to many parts of Asia and is still the religion of many countries in Southeast Asia and South Asia. There are close to four hundred million followers of Buddhism in the world today. Advent of Buddhism in India: The religious philosophy of Buddhism is founded in the teachings of Gautama Buddha, who is believed to have lived from 566 to 486 BCE. The word Buddha does not mean just the founder of the religion, but is a description of the person, who is the true follower of Gautama Buddha and has attained enlightenment and thereby freed himself from the cycle of birth and death.

Managing and Preserving Electronic Health Records Essay Example for Free

Managing and Preserving Electronic Health Records Essay This proposal discusses how to apply standard and interoperable solutions to manage and preserve electronic health records (lab test results, physician notes, etc.) and migrate, distribute, replicate, and access these records from legacy formats and platforms. Another important thing the proposal discusses is incorporating a technological system that will allow better time management and increase profitability at CorpHealth. Business Problem Statement The business problem to be solved is how to improve time management by improving strategic planning and incorporating new technology that will allow better time management and planning. Also the company currently does not have a system that preserves electronic health records. It is important for the company to start working to create a standard preservation infrastructure to support a wide variety of electronic health records, data formats, and delivery mechanisms as well as identify, evaluate, and integrate standard and best practices in the long-term preservation and management tools to migrate, replicate, and distribute electronic health records. Currently the only technological advance the company uses is the Cholestest LDX system that provides efficient and economical point of care testing for cholesterol and related lipids, and blood glucose serve as diagnostic tools that provide information for immediate risk assessment and therapeutic monitoring of heart disease, inflammatory disorders and  diabetes.allows and improve insight into the financial management aspects of the company for improved strategic planning and performance monitoring. Name of the Company or Organization CORPHEALTH Medical and Wellness Solutions, Inc. Brief Description of Proposed Solution Incorporating new technology at CorpHealth will allow the business to reach out to new customer increase profit and grow technologically. Looking at these issues will help decrease major challenges the Company faces in IT, operations, strategic planning while diminishing the risk on non-compliance regulatory fees. CorpHealth should develop business tailored solutions to incorporate a better strategy that overall will bring growth and stability to the company. General Benefits it will provide the Organization General benefits to the company will mean growth and advancement. The company need to stay ahead of the competition and implementing new marketing strategy in different ways is a great way to attract different clients or new demographics. Implementing new technology will improve the speed and accuracy of diagnoses. Implementing a new system that will allow health information to be safe and secure will allow the current clients and future clients to have peace of mind. Also this will give the Company better access to the information if needed by the Doctor allowing better time management to the Staff. Audience to whom you are presenting the recommendation(s) The audience of this proposal is presented for all CorpHealth personnel. After recommendations are implemented and agreed on who will benefit from it will be the Staff, client and future clients.

First World War Poets Essay -- World War One Poets Poetry Poems Essays

First World War Poets The First World War poets were able to affect the emotions of their readers. Choose two or more poems that have affected you in some way, and analyse how the poets have achieved this affect. The subject of war is a delicate one to write about. However, Wilfred Owen expertly describes the horrors of conflict to his readers in a way few are able to. He conveys images and uses language in ways that can move the reader. In this essay I will look at two of his poems, written during and after the war, and aim to discuss the methods Owen uses in order to successfully influence the readers’ emotions. After reading each of the poems, I felt I was able to recognize more fully the suffering that the men on the front line endured. Although the full extent of the terror of the trenches should never be seen again, Owen’s writing gives a good idea of what war was like 90 years ago. The poems moved me and sadden me, and also opened my eyes to the horror of war. The poems I will be studying are ‘Spring Offensive’ and ‘Futility’; they differ from each other in a variety of ways but each communicates a feeling of compassion for those who died in 1918. While one will use perhaps horrific detail, another will use a milder and gentler method. In answer to the essay title, I will show which techniques Owen uses in each poem and how they move the reader. The first poem I will look at is ‘Spring Offensive’. We can see from the title that Owen may talk about conflict as ‘offensive’ suggests. The opening line is one of sadness and imminent death, ‘Halted against the shade of a last hill’. The use of ‘last’ implies that the men are nearing the end of their lives and that the hill is that last one th... ...suddenly they are ‘exposed’ to the ‘unseen bullets’ of the enemy machine guns. This also makes the soldiers appear very brave, as they show little fear. To conclude, I would say that ‘Spring Offensive’ is an exceptional piece of writing that moved me greatly. I felt real sympathy and sadness for the men that lost their lives for their country after the officers threw them into the front line. This feeling is strengthened through ‘Futility’, which makes the pointlessness of the War even more apparent. Owen uses rhythm and style to paint the terrible pictures of war in order to rouse the reader into thinking about his ideas. His use of rhetorical devices further reinforces his views on war and its senselessness. Finally, his questioning of God and his way of making nature appear all-powerful adds an effective twist to the overall view of his writing.

Causes of Ignorance

Illiteracy is directly related to two main causes; Schools and Parents/Environment. Schools maintain letter grades that represent the performance and outcome of the students. Grades throughout the semester, cumulative grades and final outcomes. When taking a step back and looking at society and seeing how much ignorance and illiteracy there is it really makes you begin to think about whether or not that is not only the type of environment you wish to be in but whether or not you wish to raise your children there. Typically the schools represent the environment. School funding is also a very large problem that is a leading cause of illiteracy. Many schools simply do not have enough funds to buy the proper, updated and on grade level books. This causes the children to have below average and grade level reading levels, comprehension skills and general knowledge. On a day to day basis parents are blamed for the illiteracy of their children; whether it be because they are not encouraging their children to learn and read, or attend school in general to even try. In many cases the parents are not supportive of their children because they do not want to see them succeed and surpass their families expectations for them. Perhaps this is because they may feel intimidated or as if the child is overstepping some kind of authoritative boundary. Typically the overall education level of a parent is what determines their behavior towards their children and the kind of future that they want them to achieve. If the child's parent did not go very far in their college career, if any college at all then they usually do not press the importance of graduating with a strong degree to be successful. Some believe that schools may also be to blame because the expectations are set too high. In reality many schools just expect too little. Many children need challenges in order to further themselves. By marking a level and saying â€Å"This is what we feel you need to know by this age. † it puts realistic expectations. They do this because the testing that is provided at the end of a high school career that is required to be taken, cannot be altered for any child. They need to be prepared for these tests and in order to do well on them classroom standards must be met. Teachers are as supportive as the student allows them to be. Proper measures and steps need to be taken in order for students to live up to those expectations. Depending on the location of the school, funding is a tremendous problem. You cannot run a school off of nothing. Without proper methods of payment for the teachers, there would be none. Without money to buy the textbooks and teaching supplies, there would be no classes and curriculum for the students to follow. The end result of ill-funded schools is poor educations or none at all. Without proper updated textbooks children would not be kept up on current events; nor would they have the ability to use their common knowledge of today's society. Comprehension skills, in the context of different teaching/learning theories beginning decades ago, up to theories still used and replaced today. Reading levels and the ability to practice reading skills in order to raise the levels for proper education consumption. Illiteracy is based on three sole factors that I have previously stated. Had many schools had better funds and systems to raise money the illiteracy rate would drop severely. The typical factors will not easily be cared for but with the proper dedication and skills, can steadily decrease illiteracy in children which in turn results in illiterate adults.

Fresh Prine of Bel Air Essay

The Fresh Prince of Bel Air is about a young man named Will who is sent to live in Beverly Hills with his rich aunt and uncle who already have three children. Will is sent to live in Beverly Hills because his mother does not want him to be raised in a neighborhood full of crime and low life. She feels that he stands a better chance of a better education and life with people that have money and were educated. Will’s mother expected him to become respectful, responsible, and mature. The show deals with his life experiences as a young African American who is just trying to get by life and school. He also deals with similar teenage experiences that occur today. The show stays interesting because Will brings a bit of his neighborhood soul and street smarts to the Banks family. He teaches them what he has learned and they teach him how rich, high society people should act. In every episode, Will brings them back to reality, his old life experiences. He teaches them that money isn’t everything In return, the Banks teach him a few things that highly educated people have experienced. Although Fresh Prince of Bel Air has real world life experiences, the show portrays how African Americans during the 1990’s were rising and beginning to take status in society. They were getting educated just like any other person. Television producers were making a statement to society; African Americans were no longer staying behind educationally. Although African Americans were getting educated and climbing the latter of success, discrimination still existed. In the 1980’s Molefi Kete Asante published a book, â€Å"Afrocentricity† this book was based on the idea that looking at information from, â€Å"a black perspective† as opposed to the norm, â€Å"the white perspective†. Afrocentricity: The theory of social concept. It points out the black ideas and values. African Americans began reaching out to their own history. Seeing what is the best interest of for the African people and â€Å"emphasizing r promoting emphasis on African culture and the contributions of Africans to the development of Western civilization. † Although the Fresh Prince of Bel Air doesn’t use the phrase afrocentricity, the show bases many of the episodes on this idea. For example, in one episode, Will fights to try to keep his old neighborhood in his heart, his old ways, his friends, and his old simple life, he misses who he once was. His uncle Phil Banks helps him to realize that he can use the good of both worlds to make his own life. In the end his black values that he was raised with were never forgotten. In all episodes, Will is very proud of his heritage. He stands up for what he believes in and this is what made the show popular. Blacks were talking about what they believed in and people were listening. When the audience took interest in this sitcom, more people began to see the rise in more black actors and actresses throughout the years. Blacks were also rising in status and having political views. They were being transformed to the center of the stage, the white man’s stage and whites were accepting the different norm. There was more respect for African Americans who were becoming educated and rising to the top of jobs such as judges and doctors. Although the Fresh Prince of Bel Air delt with African Americans being accepted into a white man’s world, the sitcom also showed the one thing that African Americans cannot seem to leave behind them, discrimination. The show reminds African American’s that although they have come a long way since Martin Luther King, they still continued to meet with people that discriminated against them. One of the popular episodes of Fresh Prince of BelAir is â€Å"Racism at Hillman College†, Carlton faces a time where he is being discriminated against. Carlton and Will get stopped by a white police officer because they are two black guys in a nice luxury car. The officer thinks that they stole the car. Will sees that they are being discriminated, but Carlton gives the officer the benefit of the doubt, â€Å"He’s just doing his job† Will on the other hand sees right through the officer and like any criminal from his old neighborhood, he leans up against the car to be searched, while Carlton is wondering what is going on. Will tries to explain what is happening to Carlton,Will quotes, â€Å"If you see a black guy drive anything but a burned out Pinto, then you better stop him because he stole it. † Although Will understands discrimination, Carlton has been hidden from that in his easy rich life. His parents raised him in a different world from Will. Carlton sees the good in all, but Will sees the real world. In 1990, discrimination was still very much alive. Many television producers were using sitcoms such as the Fresh Prince of Bel Air to remind people that this behavior still exist and we need to put a stop to it. Although discrimination is still very much alive today, children are learning from these sitcoms that discrimination is not good. The more interrelations among different ethnic groups being seen in these type of shoes, can help our future look a bit more peaceful. The Fresh Prince of Bel Air sitcom was used to show all ethnic groups that African Americans were on the rise to a better education and better jobs. African American were showing society that the old norms were being broken. They were helping others to understand that their views were just as important as white man’s views. Yet, the sitcom continued to show that discrimination still exist in today’s society. Looking at sitcoms today, they still continue to show society that this world we live in is not perfect, discrimination still exist among all races. The Fresh Prince of BelAir shows how African-Americans are on the rise, getting a higher education and taking on higher power positions. The Fresh Prince of BelAir is basically showing the world that all colors can interact with one another to make this planet of ours a place to be proud of and a place that we can call free of discrimination.

List of Metal Alloys by Base Metal

List of Metal Alloys by Base Metal An alloy is a material made by melting one or more metals together with other elements. This is an alphabetical list of alloys grouped according to the base metal of the alloy. Some alloys are listed under more than one element, since the composition of the alloy may vary such that one element is present in a higher concentration than the others. Aluminum Alloys AA-8000: used for building wireAl-Li (aluminum, lithium, sometimes mercury)Alnico (aluminum, nickel, copper)Duralumin (copper, aluminum)Magnalium (aluminum, 5% magnesium)Magnox (magnesium oxide, aluminum)Nambe (aluminum plus seven other unspecified metals)Silumin (aluminum, silicon)Zamak (zinc, aluminum, magnesium, copper)Aluminum forms other complex alloys with magnesium, manganese, and platinum Bismuth Alloys Woods metal (bismuth, lead, tin, cadmium)Rose metal (bismuth, lead, tin)Fields metalCerrobend Cobalt Alloys MegalliumStellite (cobalt, chromium, tungsten or molybdenum, carbon)Talonite (cobalt, chromium)Ultimet (cobalt, chromium, nickel, molybdenum, iron, tungsten)Vitallium Copper Alloys Arsenical copperBeryllium copper (copper, beryllium)Billon (copper, silver)Brass (copper, zinc)Calamine brass (copper, zinc)Chinese silver (copper, zinc)Dutch metal (copper, zinc)Gilding metal (copper, zinc)Muntz metal (copper, zinc)Pinchbeck (copper, zinc)Princes metal (copper, zinc)Tombac (copper, zinc)Bronze (copper, tin, aluminum or any other element)Aluminum bronze (copper, aluminum)Arsenical bronze (copper, arsenic)Bell metal (copper, tin)Florentine bronze (copper, aluminum or tin)Glucydur (beryllium, copper, iron)Guani ­n (likely a manganese bronze of copper, manganese, with iron sulfides and other sulfides)Gunmetal (copper, tin, zinc)Phosphor bronze (copper, tin, and phosphorus)Ormolu (Gilt Bronze) (copper, zinc)Speculum metal (copper, tin)Constantan (copper, nickel)Copper-tungsten (copper, tungsten)Corinthian bronze (copper, gold, silver)Cunife (copper, nickel, iron)Cupronickel (copper, nickel)Cymbal alloys (Bell metal) (copper, tin)Devardas alloy (copper, aluminum, zinc)E lectrum (copper, gold, silver) Hepatizon (copper, gold, silver)Heusler alloy (copper, manganese, tin)Manganin (copper, manganese, nickel)Nickel silver (copper, nickel)Nordic gold (copper, aluminum, zinc, tin)Shakudo (copper, gold)Tumbaga (copper, gold) Gallium Alloys Galinstan (gallium, indium, tin) Gold Alloys Electrum (gold, silver, copper)Tumbaga (gold, copper)Rose gold (gold, copper)White gold (gold, nickel, palladium, or platinum) Indium Alloys Fields metal (indium, bismuth, tin) Iron or Ferrous Alloys Steel (carbon)Stainless steel (chromium, nickel)AL-6XNAlloy 20CelestriumMarine grade stainlessMartensitic stainless steelSurgical stainless steel (chromium, molybdenum, nickel)Silicon steel (silicon)Tool steel (tungsten or manganese)Bulat steelChromoly (chromium, molybdenum)Crucible steelDamascus steelHSLA steelHigh speed steelMaraging steelReynolds 531Wootz steelIronAnthracite iron (carbon)Cast iron (carbon)Pig iron (carbon)Wrought iron (carbon)Fernico (nickel, cobalt)Elinvar (nickel, chromium)Invar (nickel)Kovar (cobalt)Spiegeleisen (manganese, carbon, silicon)FerroalloysFerroboronFerrochrome (chromium)FerromagnesiumFerromanganeseFerromolybdenumFerronickelFerrophosphorusFerrotitaniumFerrovanadiumFerrosilicon Lead Alloys Antimonial lead (lead, antimony)Molybdochalkos (lead, copper)Solder (lead, tin)Terne (lead, tin)Type metal (lead, tin, antimony) Magnesium Alloys Magnox (magnesium, aluminum)T-Mg-Al-Zn (Bergman phase)Elektron Mercury Alloys Amalgam (mercury with just about any metal except platinum) Nickel Alloys Alumel (nickel, manganese, aluminum, silicon)Chromel (nickel, chromium)Cupronickel (nickel, bronze, copper)German silver (nickel, copper, zinc)Hastelloy (nickel, molybdenum, chromium, sometimes tungsten)Inconel (nickel, chromium, iron)Monel metal (copper, nickel, iron, manganese)Mu-metal (nickel, iron)Ni-C (nickel, carbon)Nichrome (chromium, iron, nickel)Nicrosil (nickel, chromium, silicon, magnesium)Nisil (nickel, silicon)Nitinol (nickel, titanium, shape memory alloy) Potassium Alloys KLi (potassium, lithium)NaK (sodium, potassium) Rare Earth Alloys Mischmetal (various rare earths) Silver Alloys Argentium sterling silver (silver, copper, germanium)Billon (copper or copper bronze, sometimes with silver)Britannia silver (silver, copper)Electrum (silver, gold)Goloid (silver, copper, gold)Platinum sterling (silver, platinum)Shibuichi (silver, copper)Sterling silver (silver, copper) Tin Alloys Britannium (tin, copper, antimony)Pewter (tin, lead, copper)Solder (tin, lead, antimony) Titanium Alloys Beta C (titanium, vanadium, chromium, other metals)6al-4v (titanium, aluminum, vanadium) Uranium Alloys Staballoy (depleted uranium with titanium or molybdenum)Uranium may also be alloyed with plutonium Zinc Alloys Brass (zinc, copper)Zamak (zinc, aluminum, magnesium, copper) Zirconium Alloys Zircaloy (zirconium and tin, sometimes with niobium, chromium, iron, nickel)

Japanese for Beginners - How to Start

Japanese for Beginners - How to Start Do you want to learn how to speak Japanese, but dont know where to start? Below you will find lessons for beginners, writing lessons, information on pronunciation and comprehension, where to find dictionaries and translation services, information for travelers to Japan, and  audio and video lessons. Try not to be overwhelmed. The Japanese language will seem very different at first from your native language, but it is not as hard to learn as many people think. It is quite a logically laid out language and once you learn basic reading skills it will be easy to pronounce any word you can read. Introduction to Japanese Are you new to Japanese? Familiarize yourself with Japanese and start learning basic vocabulary here. Japanese Vowels: Learn the pronunciation and how to write them in hiragana.Japanese Verb Conjugations: See the conjugations for the most common verbs.Japanese Grammar: Learn the characteristics of how sentences are constructed.Japanese Writing Systems: An overview of the three writing systems.Greetings and Everyday Expressions: Useful for tourists.First Meetings and Introductions: These tips will help in both business and social interactions.Simple Japanese Phrases: Learn a variety of simple phrases. Learning Japanese Writing There are three types of scripts in Japanese: kanji, hiragana and katakana. Japanese does not use an alphabet and all three systems are commonly used. Kanji has blocks of meaning and thousands of characters. Hiragana expresses the grammatical relationship between kanji symbols and katakana is used for foreign names. The good news is that hiragana and katakana have only 46 characters each and words are written as they are pronounced. Japanese Writing for Beginners - Introduction to Japanese writing and understanding how kanji, hiragana, and katakana are used.Kanji - 100 Most Frequent Characters: With thousands of different characters, these are the meanings of the top 100. Pronunciation and Comprehension Familiarizing yourself with the sounds and rhythms of the language is a good place to start. Audio and video lessons can help. Hearing someone speak in Japanese and being able to answer appropriately is very rewarding for the beginner. Audio PhrasebookJapanese Language Videos: Use these videos to see how to pronounce sounds from Hiragana and to use different expressions. You may learn better by seeing as well as hearing a person speak in Japanese. Japanese for Travelers If you need quick survival skills for your trip, try these. Japanese for Travelers: Learn phrases relating to getting around by train, taxi, bus, car, air, and walking.How to Order at a Restaurant: Youre going to need to eat, here are phrases that will come in handy. Dictionaries and Translations Choosing the right words for a translation can be difficult. There are many ways to look up Japanese words and to translate from English to Japanese and back again. Top 3 Japanese Dictionaries: If you want a book to have handy either on paper or electronically, these are the best.Top 10 Online Dictionaries: Access these from your mobile device or computer.Learning About Translating: Its not as simple of plopping words into an online form.Online Translations: The best of the bunch.

Envs Essay Example | Topics and Well Written Essays - 500 words

Envs - Essay Example The product is cooked in partially hydrogenated vegetable oils which may contain partially hydrogenated soybean oil and/or partially hydrogenated corn oil and/or partially hydrogenated canola oil and/or cottonseed oil and/or sunflower oil and/or corn oil). Mc Donald’s french fries also contain derivatives of wheat and dairy. I used to eat McDonald’s french fries every week, sometimes even more especially when I hang out with my friends more often than usual. However, I have recently come across a number of articles claiming that McDonald’s french fries contain a considerable amount of trans-fat oil and so I have limited my consumption of the product since then. However, the rest of the world still apparently enjoys eating McDonald’s french fries as millions of pounds of the product are being consumed everyday. This probably explains, in part, the health issues faced by the world’s population since a small pack of french fries could amount to 250 calories, 13 grams of fat with 2.5 grams of that being saturated fat, and 140mg of sodium. The unknown composition of â€Å"natural flavorings† is likewise seemingly not a concern for Mc Donald’s french fries consumers. McDonald’s is apparently among the leaders in the industry when it comes to environmentally-conscious policies. The company website mentions that all of McDonald’s bags, tray liners and cup carriers are made from 100 percent recycled paper while packaging of hot foods including french fries are made from cartons or paper packaging made from 72% recycled paper. In addition, a decrease in the cardboard weight of corrugated containers and the introduction of larger shipping containers during product transport has helped minimize the amount of packaging materials required by McDonalds. Also, the company is employing the Reduce, Reuse, Recycle, Dispose program which aims to decrease wastage as much as possible.