STEM 6 #mabangis

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Adriano Cuevas 11 - STEM 6

CIRCLE

The item that I picked as one of the conic sections which is circle is a pomade container. This is one of the most important things in my bag for I can’t go out of the house without it. I have no doubt that circle have always been used for container. Like this in a pomade container, it is not that practical if the container is a rectangular shape or a square for it would not be used properly.

ELLIPSE

In this picture I picked a cover of a water container. Of course the cap should take the shape of the container so we can be able to use it right. It is not that right that the shape of the cover and the container is different. It is not that practical, for example if we used a circular shape cover to an oblong shape of a container, we can’t use it properly.

PARABOLA

In the picture you can see that I am holding a sculpture of a moon. I picked this item for since I was a baby my mom always put this beside me every time that I would take a nap or sleep. In this ornament the moon is in crescent form so it forms a parabola. Most of the times a crescent moon is always used on ornaments for it would look more real than the other shapes of the moon.

HYPERBOLA

As you can see from the picture I picked a Nescafe container. I picked this container for I really like drinking coffee. Like literally I drink coffee everyday. You can see from the picture that the sides of the container formed a parabola. I think that is is shaped like a conic section which is parabola for it would not easily slip from your hand. Imagine if this container is just a rectangular shape and it is a glass, I think that it would easily slip from your hand. On the other hand the design of this container might just wanted by the designer of the product.

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CIRCLE

The Aloe Vera Soothing Gel container is formed with one of the conic sections which is the circle. Mainly because it has no sides, the center and the radius of this object are consistent and not changing. In my first thought, I think that the shape of this conic section doesn’t really affect the use of the object; it is only done as a circle because the company wants to. But as I think deeper, I’ve come to realize that it’s made that way in order to be handle easy.  It is also because of the packaging itself, the lid needs to be twist to make that there won’t be no leakage of the product. This way of closing a container to store the product is way better than those containers that only require being pushed because they are not long-lasting, they can be easily broken. That’s the same reason why the container of Aloe Vera is not formed into another shape; it will not be worth it if the quality is not good. It is needed to be shaped like this if you want it truly secure but if you prefer quantity over quality, then the shaped circle for this product is not suited for you.

PARABOLA

The small arc used as a decoration in our house is formed with one of the con ic sections which is the parabola. Mainly because it looks like an inverted U that is perfect to be called parabola, this parabola opens downward as you can see in the picture. It wouldnt be called arc if it weren't for it's shape, an inverted U. That's why arc are made, their shape's a half of a circle. It is not formed into another shaped because just like what I’ve said, arcs are meant to be shape like that. They are mostly seen in many places especially in welcoming tourists. They are shape like that to be noticed easily, to caught attention, to inform and at the same time, to be entered by people who’s exploring the world. It is not needed to be shaped like that all the time, like for today—we can now see arc that are plainly straight. It is us who will choose whatever we shape we like for arcs we will be using. 

ELLIPSE

The image of Mother Mary in the stone is formed with one of the conic sections which is the ellipse. Mainly because it looks just like the same with the oval, this image is an example of vertical ellipse. The major axis is always bigger than the minor axis, the only difference now why this one is in vertical orientation is because major axis is on the bottom of y. It is used as a decoration in an oval shape stone, shape doesn’t really affect the use of the object, whether it is a circle or an arc—this one will remain as a decoration. This image in the stone can be formed into another shape but because it is made like this, we need to accept the creator’s decision. That’s how he likes this image to be done then so be it. It is not needed to be shaped like this because this one is only a decoration that anything will do as long as the content remains. It only needs to remain as a vertical ellipse if the picture that is used is in portrait orientation but if it’s in landscape orientation, you might as well consider the horizontal ellipse.

HYPERBOLA

The Basketball is formed with one of the conic sections which is the hyperbola. I don’t have much to say about this since this isn’t tackled to us yet but based on my research, hyperbola has some resemblance to parabola, and the only difference is that— Hyperbola is double while Parabola is only single. This example of mine is confusing for we can also consider this as a circle but no, for this blog this one is a parabola. You can see there clearly that there are two parabolas that are opening at the right and left. For someone who’s not playing basketball, I can conclude that the one I mentioned as hyperbolas are only there as a design therefore this conic section won’t affect the used of basketball. This is not formed into another shaped because it will only be weird for a basketball without those black lining hyperbola. It is not needed to be shape like that but for a basketball to be called basketball, we shouldn’t eliminate or change anything that makes it as a whole.

MARY NICOLE CABAL G11 STEM 6

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CYRIE FALLER << Gr11 STEM6 >> CIRCLE - Antique Clock 끌로크 🕰 ~ A circle is all points in the same plane that lie at an equal distance from a center point. The circle is only composed of the points on the border. What you are seeing here is a clock of mine, showing that the focal point of the hands of the clock represents the center point of the circle. Clocks are regular made as a circle because it can easily present the numbers/hours of the day without complications. ELLIPSE - Egg 에끄 🥚 ~ A closed curve consisting of points whose distances from each of two fixed points (foci) all add up to the same value is an ellipse. The midpoint between the foci is the center. One property of an ellipse is that the reflection off its boundary of a line from one focus will pass through the other. What I have here is a regular white egg. They are naturally produced by chickens and that states the fact that eggs are always an elliptical shape, and it doesn't have the same factors as circles. PARABOLA - Mcdo Logo 마크도 ♏️ ~ A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. All parabolas have an axis of symmetry and the point at which the axis of symmetry intersects the parabola is called the vertex of the parabola and the vertex lies half way between the focus and the directrix. In this case, we see two parabolas of the letter "M" which makes up the Mcdo logo HYPERBOLA - Guitar 기터 ~ A hyperbola is a conic sections defined as the locus of all points in the plane the difference of whose distances and from two fixed points and separated by a distance is a given postive constant. As you can see I used a guitar as an example. This is the usual shape of a guitar because it can process a smooth tone and melody that will have no interruption of the strumming of strings when played. Also it is more comfortable for your thighs whenever you use a guitar. I hope my work has educated most of you about the different conic sections and that it will help you on your math activities. Thank you for your time !! :))

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Gerald George Aquino CIRCLE - the item that I selected to be the representation of a circle is a thing that I always have on my bag and that is the container of a hair wax. it's container has no sides and a great depiction or model of what a circle is and the parts of it one example of a part of a circle is the center which can be located at the middle and the radius which will always be the same in any areas inside the circle. and the ratio of any circumference regardless of what the ratio or size of circle it will always will be equal to pi which is approximately 3.14 the container of the hair wax was designed to be a shape of circle so that it would be space efficient and it would be applicable to our fingertips in for example if we get a bit of the wax we can get it by scooping our fingertips in a circular motion so that the look of the wax inside the container would still be proportional. PARABOLA - the item that I selected to be the representation of a parabola is the hand gripper this is the thing that we use when we exercise the muscles in our hands it is a great depiction of what a parabola is because unlike any other items the directrix of the parabola (like the ones we graph )can be be physically seen from here which is the spring part of the hand gripper this could be used in any position upward downwrd left or right position but in in this image the hand gripper is placed downwards but the opening would be located in the opposite direction and hence the parabola is now in upward position (x (squared) + y) it was designed to be in a U shaped gripper so that the strength of our finger mostly in the thumb part which is specifically farthest from the 4 fingers to excercise the muscles HYPERBOLA - the item that I picked that has the shaped of a parabula is the ukulele. this instrument has 4 strings unlike the guitar who has 6 strings because it has a deeper tune and the ukulele has a high tuning it is designed to be in a shaped hyperbola because in the middle part of the instrument it would compliment the leg of the musician or the one playing the instrument so that they would feel comfortable while playing ELIPSE - the item that has a depiction of a elipse if the deodorant because it's not only a thing that I use in my everyday living but it also has the traits of an elipse it's close to a circle but not circle the radius of it's areas are not the same. and we can connect this in our lives by saying that we humans are not perfect and we have our flaws and imperfections along ourselves but this qualities are the thing that make us unique from others we are beautiful in our own unique ways and I think that's an elipse a thing that is far from perfection but close to the truth and realities of our lives

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Jaimie Vince Tan Largo

MINI TASK 1: Conic Self-pic •Circle >The object that I chose is a Canon lens cover. It is a circle cause any point on the figure is equidistant to the center of the figure and it has no edges. It is circular or circle for the reason that the lens is circle and it is use to cover and protect the lens. It is not formed as other shapes because it would be inapproriate to use, it is not compatible and it will not fit in the camera’s lens. It is shaped like a circle cause most of the cameras has a circular lens an it is paired with a circular lens covers. •Parabola >The object is a hand fan or wooden fan. It is parabola for the reason that it has an arc and end in two points , so it is like a semi circle cause it has two end points. It has an arc so that it will be more aerodynamic and will form a large mass of air. It is parabola cause it is more efficient to use since it is aerodynamic and it is made accurately by the means of the wooden sticks that is aligned accordingly. It is necessarily shaped like a parabola cause almost all of hand fans are shaped like this. •Ellipse >The object is a metal figurine use as a display. It is an ellipse cause it is shaped as an oval or a bit circular but not perfect. It does not affect much but it is pleasing in the eyes and it attracts attention. Ellipse is suited for the whole figurine and it is shaped like an Ellipse for misconception. It is not necessarily shaped like an ellipse cause it can be any form or shape but the theme of the object is interesting. •Hyperbola >The object is an abstract painting of two fish, the parabola is formed in the fish located at the right side of the painting. It is an example of a hyperbola because of the formation of two parabolas in the body of the fish and the tail of the fish which contrast each other’s opening. It affects the object by means of attraction set by the shape of the fish’s body. It is formed as a hyperbola cause most of the fishes has a structure like a hyperbola and even though it is an abstract painting, it also resembles a structure of a fish. It is necessarily shaped like a hyperbola cause of the thoughts of the painter about the fish’s body or structure.

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Dan Martin A. Sison STEM 6 • CIRCLE — This plate is circular in shape because way back then since most plates are made of ceramic material and before industrialized methods were commonplace, plates were made on a potters' wheels. We are more comfortable to eat on a circular plates because we used to eat on this because they don’t have corners. Round shapes are easy to make on a wheel, other shapes not so much, and the shape has never lost its popularity. No, it’s not necessary because nowadays there are a lot of plates that are not circular. There are various of shapes of plates now especially for the kids to improve their appetite. • ELLIPSE — This football is an elliptical unlike to other balls such as basketball, volleyball or soccer because the sport football is completely different among them. The reason why this ball is elliptical is it’s easier to catch and throw it because we can hold it by one hand unlike if it’s circular you can only throw, catch and hold the ball if you got a big hand. Yes it is necessary to be in this shape because the game will never be the same if this ball is not elliptical. • PARABOLA — This headband is parabolic so that it would fit on the top of our head. It’s shape is parabolic because the shape of our head is either elliptical or circular. That’s why it is made in this shape because parabola is like the half of an ellipse or circle. It is not necessary to be made in this way because there are headbands that are circular but those headbands are not like this made up of plastic. Those headbands that I am talking about are stretchable because they are used for sports. • HYPERBOLA — This potato chips are made in hyperbolic paraboloid shape so that it would fit inside its cylindrical container. It’s shape are hyperbolic paraboloid because the mouth of the cylindrical container of it is circular. It’s made in this shape and not circular, because it is easier to get if it’s shape is hyperbolic paraboloid unlike if it’s circular. It could be made in parabolic shape but the usual shape will satisfy us more because of its size plus its awesome figure if all of them are put on top of each other.

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Conic Sections by Maria Krizelle Lao

C i r c l e

I chose this object which is the tire of our vehicle that projected as a Conic section, Circle. Yes, it is inevitably to shaped as Circle. It has to be a round shape because it moves by rolling and maintains a uniform and smooth contact with the surface. This object is not formed into other shapes because the mass of the car moves up and down as not all points are equally situated from the center and in other shapes rolling is definitely not an option.

P a r a b o l a 

I classified the handle of the bag as a Parabola because it shaped as “U”. It is necessarily to shaped as parabola depending on the type of the bag but, most of the bag’s handle are shaped like that. It helped us to carry the bag easily in our shoulders, arms and hands. This object is not formed in other shape because it will be hard to carry in our shoulders just like a square because it can slide down and it has corners.

E l l i p s e

Spoon specifically basting spoon (bowl part) is my chosen object as a representation of the Conic Section, Ellipse. Yes, it’s necessarily to shaped as an ellipse because it can easily fit our mouth while eating without straining our mouth fully. It is made for us to eat easily and eat the amount food we want to take. Some other types of the bowl of spoon may be classified as round shape but it’s only for the soup. Also, it’s going to be hard for us to eat with a different shape of spoon like square, rectangle, triangle and etc.

H y p e r b o l a 

I chose the container ampule/ ampoule which have a part that shapes as a Hyperbola. Yes, it always has a top part that shows a hyperbola shape. The part on the ampule that has a hyperbola makes easier for the people to break the glass and get what’s inside because it’s the part where you really break it. It is not formed in other shape because it’s going to be a hard time to break the glass and can cause cuts.

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Circle

A circle is a conic section that is a collection of all points equidistant from a central point. Most logos are formed through the form of a circle. the circle emphasizes all the meanings and symbols indicated in the logo. for me, if the logo is a different shape, the indications on it would differ in size because they lack that round shape that makes the logo emphasize its' meaning. but from other's perspective, they have a choice to not choose a circular logo. for example, the previous school year, San Beda University's school patch on the SHS' uniform was not circular.

Hyperbola A conic section that can be thought of as an inside-out ellipse. most guitar's body's shape is a hyperbola, especially when it's an acoustic one. the main reason why the guitar's body is shaped like that because of how the musician holds the instrument. the lower part of the guitar is for the thigh of the musician, for it to fit and play comfortably and same goes for the arms for the upper part. it can be formed into other shapes and there is no restriction for having other shapes of a guitar. it doesn't change the way it sounds.

ellipse a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. the plate is formed elliptically because this plate is usually used for long food or foods with sticklike barbeque. because of the plate being elliptical, it can occupy mostly different lengths of food to its capacity. but this plate can change its shape to other forms and choose from circular or other figures.

parabola A u-shaped curve with certain specific properties. the mirror was designed to have an arc shape on the upper part of the cabinet door. the person looking at him/herself in the mirror have the focus on him/herself because the mirror restricts other objects to be seen in it. some mirrors can be circular, a square, elliptical, and be tiny. it can differ depending on what an individual wants.

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Reyes, Norvin Jay B.

11-STEM-6

  CIRCLE (Hole of the Trash Bin)

A circle no corners at all so it made a round shape. A circle is consists of center, diameter, radius and etc. I took a picture of myself with a real life example of a circle which is the hole of the trash can. Almost all of the hole of the trash cans are circle because it’s like a basket ball ring where you shoot the ball hence trash cans are made to shoot or place in there your wastes.

PARABOLA (Arch)

When you cut a circle in half you can make a semi circle with that you can get the shape of a parabola which is a “U” and “inverted U” shape. A parabola is consists of focus, vertex, directrix and latus rectum . Arch is the best example of a parabola that I can think of that’s why I took a selfie with it. An arch supports the weight of a bridge, roof, or wall above it.

ELLIPSE (Statue of an Egg)

An ellipse is oval shape and has parts that include center, foci, major axis, and minor axis. The best example that I have is egg or a statue of an egg. An egg is oval shaped so that it doesn’t roll continuously unlike circle; balls. Hens lay their eggs elliptical in form and we cannot change the fact and the fact is eggs are elliptical because the chick inside needs to grow taller and larger that’s why itsnt a circle or any other shape.

HYPERBOLA (Dog Plate)

Hyperbola is a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone. It is also a pair of parabola that intersects with their vertices and they are opposites. The parts of hyperbola are center, asymptotes, and axes of symmetry. I took a picture with a dog plate because it’s like a hyperbola with a U shape at the top and inverted u at the bottom.

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Marino C. Sapugay III                                                                                           11 STEM - 6 

As I walk through the hallways of San Beda, I realized that we can see conic sections everywhere, these are even noticable inside the campus. For today’s blog, I’ve decided to inform everyone about what our Pre-Calculus teacher taught us. 

• c i r c l e                                                                                                                  -A circle is the intersection of a plane perpendicular to the cone’s axis. Masking tapes or any other kind of tapes are shaped like circles for us to use it easily. The hole in the middle are usually for it to hold in place using a tape dispenser or to put it in your arm. They are rolled up in a circle to consume less space and it is not necessary to be shaped like a circle because you can use a tape in any shape it is formed.

• e l l i p s e                                                                                                                -An ellipse is the locus of a point which moves in a plane such that the sum of its distances from the two points called foci add up to a constant. My example for ellipse is the logo of the Toyota brand. The outer part of the logo symbolizes a steering wheel, the designer of the said logo is the one responsible for the shape. It is necessary to be shaped like an oval to make the letter “T” stand out in the middle

• p a r a b o l a                                                                                                            -A parabola is a set of all points equidistant from a line and a fixed point not on the line. An arch is a curved structure and commonly known for pathways or monuments. An arch is shaped like a parabola because it is more strong and sturdy if it is shaped like a curve. It makes it an arch because of its arched shaped structure, that’s why it is necessary to be shaped like that.

• h y p e r b o l a                                                                                                        -Hyperbolas are types of smooth curve lying in a plane, defined by its geometric properties. My example for a hyperbola is a lamp, When placing a lamp close to a wall, the light of the lamp gives off a shadow that happens to form a hyperbola. But in this picture, my exampleof a hyperbola is the handle. It is necessary to be shaped like that for us to carry it around easily so it doesn’t slip in our hands.

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Vince Cajucom 11 STEM 6 Circle
I chose bicycle tire as a representation for the conic shape, circle. Basically its shape is round. It is built/shaped like to be able to move faster and maintain smooth contact with the ground rather than the shapes with corners that can make the bicycle slower and unstable. Yes it is necessary to be circle shaped for us to move faster and maintain its smooth contact with the ground Parabola
I chose headband as a representation of the conic shape, parabola. It is shaped like that to perfectly fit the head and to prevent the hair to cover the face. If its formed into other shapes, i think it is not suited for the head or it might be uncomfortable to use. No it is not necessary for headband to be parabola shaped because there are other kinds of headband like circle shaped. Ellipse
I chose mirror as a representation of the conic shape, ellipse. It is shaped like that to lessen the possibility of accidents due to its sharp edges. It is not necessary to be like an ellipse because we can have different shapes of mirror. Hyperbola
I chose soap to represent the conic shape hyperbola because with their simalarity of having 2 curves. It is shaped like that to prevent the soap from slipping to our hands. But, it is not necessary because there are many kinds of soap in different shapes.

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Carlo Antonio R. Batac | 11-STEM 6 CIRCLE (Packaging Tape) - My example for circle is a packaging tape. It is formed this way so it can be easy to use and the object will maintain its smoothness. With its shape, users won’t find it hard in looking for the tip/end of the said item. Also, finding a spot to keep it won’t be difficult for the fact that it is portable and it can be hung on certain things like nails mounted on study tables or walls. On the other hand, it is not made in other shapes because companies making these types of products usually follow the old idea and style of creating it. Finally, tapes are necessarily shaped like this so people won’t have difficulties in using it like unsticking and untangling a side from the other.

ELLIPSE (Medicine Capsules) - As for ellipse, I used medicine capsules as an example. These medications are formed like this, so consumers can take it with the proper/right amount of substance. Coating/shaping the medications to an ellipse shape will help the person taking it swallow with ease. If these things were created in shapes with edges, I don’t think it would be safe nor would it be easy for anyone to consume/drink it. It is meant to be formed and shaped like this because experts say that it is the best way of avoiding risks and mistakes in taking medication.  

PARABOLA (Padlock Shackle) - For this conic section, I used a padlock shackle as an example. The said item is formed like a parabola, because the shape of it is more efficient in functioning as a primary connecting link to lock stuff together. With its reversed “U” form or shape, it is easier for portable locks to secure the things locked and stuck with it. On the other hand, padlock shackles can be formed into other shapes like square or circle, but almost all of the companies create it with the form of a parabola and as a result, the majority follows and make copies of the concept. Overall, it is meant to be formed like this in order to fulfil the purpose of a padlock easier and efficiently.

HYPERBOLA (Plastic Soda Bottle) - The item that I used to present as an example for hyperbola is a large plastic soda bottle. It can be said that it is shaped like this so people won’t think about the tendency of the container slipping from their hands. With the shape of the bottle, it can help the consumers have a better grip and avoid spillage. On the other hand, if it is not shaped like this, one may find it hard in holding it and the chances of dropping the product are high. My guess on why it is necessarily made like this is because the company may have wanted something more distinct for their product compared to others.

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           A circle is a simple closed shape. It is the set of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves so that its distance from a given point is constant.

            The object formed with the projected conic section is circle because it is used to play basketball. It affects the use of the object because bouncing the ball is a must in playing basketball. I believe that it is not formed into other shape because as I've said earlier, you need to bounce the ball and if it is shaped in parabola, hyperbola, or ellipse, the bounce won't be consistent and hard to control. It's necessary that it was shaped circle because the ball is fitted the ring.

          In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. As such, it is a generalization of a circle, which is a special type of an ellipse having both focal points at the same location.

           The grapes was designed by God to be like that. The ellipse affects the use of the object because the grapes are always together when you buy one and I believe that the shape ellipse helps the grapes to be together. It is not formed into other shapes because if it is, it won't be the same anymore and you'll feel that what you're eating is not grapes. It is necessary that the grapes was shaped like that because the ellipse makes the grapes different and beautiful.

           In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits any of several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.

           The bluetooth earphones was designed to be like that because it's bluetooth. The parabola affects the earphones because it is much more easier to use and you won't have any problems anymore about the cord breaking. It is not formed into other shapes because it was designed for you to put it easily on your neck and less hassle. It is necessary that the earphones was shaped like that because for instance, when I use this bluetooth earphones every time I jog and watch a movie, it's just always on my neck and there's no cord to handle.

           In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

          The guitar is a hyperbola because it has inner curves and are ideal for placing upon the knee and the larger outward curves are a good fulcrum point for the arm. Hyperbola affects the use of the object because it makes the sound much better. If it is formed into other shapes, the sound won't be the same. It is necessary for the guitar's body to be shaped like a hyperbola because the guitar was originally designed to be played while sitting.

Kiana M. Batulan

11STEM6

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Gabriel Joaquin D. Fernando  11 - STEM 6 

First Picture - Circle 

As you may see I used a ball as my first example of the four conic sections which is a circle. I think it is made out of leather and used in sports which is basketball. The ball was formed to be a circle because it needs to bounce up when it hits the ground. The conic section affects the use of the object because in order to play it properly, it must have a round shape otherwise it would most likely go wrong and in different directions. It is not formed into other shapes because the hoop is shaped like a circle so to score you need to get it into the hoop to win the game. It needs to be shaped like that because the ball won’t function properly if it’s not in its shape.

Second Picture - Ellipse 

For the second example I chose a plate for the conic section of Ellipse. As you can see most plates are shaped as a circle. Some plates are shaped like an ellipse as shown in my example. The object is an ellipse because it is meant to serve dishes. The conic section would affect the use of the object because of aesthetic purposes. The object is not formed into other shapes because dishes would be placed there like fish and other dishes. It usually isn’t the plate to eat on but to serve on. It’s not necessarily shaped like that but I could determine where to put the dish and I know that circle plate would be the plate to put your food and eat. Again for aesthetic purposes. 

Third Picture - Hyperbola

The object I used as an example of the conic section of a Hyperbola is a water bottle. It is formed like that because it would serve as a grip whenever I’m drinking in it. It affects the use of the object because it would indicate where we should hold the bottle when using it. Once the object is shaped into other shapes I would have a hard time holding it in my hands. It’s shaped like that because it has a purpose and that is to have a grip on the bottle. 

Fourth Picture - Parabola 

The last and final picture for my examples for the different conic sections is the neck pillow for my Parabola. It is formed like a Parabola because it makes a pillow specially for the neck. The use of the object is for the neck only because it’s the perfect fit. It’s not comfortable when it’s used on the other parts of our body. It is not formed into other shapes because it won’t serve its purpose and that is to relieve the neck. It’s must be shaped like that so whenever I use it I would be comfortable. 

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Circle I chose bicycle tire as a representation for the conic shape, circle. Basically its shape is round. It is built/shaped like to be able to move faster and maintain smooth contact with the ground rather than the shapes with corners that can make the bicycle slower and unstable. Yes it is necessary to be circle shaped for us to move faster and maintain its smooth contact with the ground Parabola I chose headband as a representation of the conic shape, parabola. It is shaped like that to perfectly fit the head and to prevent the hair to cover the face. If its formed into other shapes, i think it is not suited for the head or it might be uncomfortable to use. No it is not necessary for headband to be parabola shaped because there are other kinds of headband like circle shaped. Ellipse I chose mirror as a representation of the conic shape, ellipse. It is shaped like that to lessen the possibility of accidents due to its sharp edges. It is not necessary to be like an ellipse because we can have different shapes of mirror. Hyperbola I chose soap to represent the conic shape hyperbola because with their simalarity of having 2 curves. It is shaped like that to prevent the soap from slipping to our hands. But, it is not necessary because there are many kinds of soap in different shapes.

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Adrian Jake Foja

11 - STEM 6

CIRCLE (Coins)

My object that i chose for the circle is coins because as you can see, it represent the shape of the circle. This coins has a perfect shape and as you can see the center of the coins and the end points of the coins is congruent that's why it is smooth when we are touching this object. It is circle because it will prevent our pocket to be ripped because it doesn't have any edge. The orientation of coins is round and congruent and that's why it is easily to roll on putting it in vending machines. Coins also illustrate the cycle of money, it never ends.

ELLIPSE (Eyeglasses case)

My object that i chose for the ellipse is eyeglasses case, this object protects our eyeglasses or sunglasses in any sharp material that causes scratching. This eyeglasses case is similar to the shape of ellipse because of its smooth edges and the orientation of this object is perfect for storing our eyeglasses. It has a smooth edges to reduce impact from falling. It is shape like an ellipse and not circle because our eyeglasses has a long width and short height and it is fitted to shape of an ellipse. It necessarily shaped like that because it give perfect storage for our eyeglasses.

PARABOLA (Neck pillow)

My object that i chose for the parabola is neck pillow, it used to comfort ourselves while sleeping inside the car. It is formed in parabola shape to lock our neck and prevent our neck from moving. It shape like parabola because it help us to use it easily or to guise it easily. As you can see, it is not shape in circle form because it may be hard to wear it and maybe it cannot fit to others. It is necessarily shaped like that because gives comfort in any size of human's neck.

HYPERBOLA (Faucet)

My object that i chose for the hyperbola is our shower faucet, it is object that is used to open or to close flowing water. This object is similar to hyperbola because it has four lines and it is responsible for helping the faucet to move. This shape affects the use of the object by creating shape that responsible to open or close the faucet and the shape for comfort of people of using it. It is common to use this shape in faucets because it has designated purpose for our hands and it help to open/close the faucet easily. It is necessarily shaped like hyperbola because it prevent slip when opening/closing a faucet.

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Tria, Heather Andrei M.

11 - Stem 6

Conic Sections

Circle (Glass Hole) The representation of circle in my picture was the hole in offices around us. It is the part where sound enters and exits so that the people can proceed with their transaction. It affects the mean of communication since it limits the sound that may enter and exit. This is not formed into other shapes because the circle shape has the less area than other shapes. It would also be weird or unusual for many people to talk in a square hole. I think it doesn't really need to be shaped as circle since the purpose of that hole is to let sound pass through and sound may do so even if the hole is not circle.

Parabola (Stethoscope) I showed real life example of a parabola by taking a picture with. In the picture presented I am referring to the metal tube that connects the rubber tube to the ear plugs. It is formed as parabola since a parabola has 2 endpoints which are curved and a stethoscope needs 2 lines to connect the earplug to both our ears. As a parabola shaped device, it affects the use of the object by making 2 pathways of sound so that the sound would be more concentrated as it enters our ears. If ever the metal tube would be formed into a shape like hyperbola then the sound's movement won't be as fluid as it should be. It is necessary for the metal tube to be produced like this so that the fluidity of the sound as it travels through the rubber and into our ears would be perfect.

Ellipse  (Toyota Logo) I chose the logo of Toyota to show a real life occation in which the an object or a thing is shaped like an ellipse. The object is projected as ellipse is to make it more fitting to their logo. It affects the use of the logo because it becomes more attractive because of the shape. It fits well and it emphasizes their symbol T. It can't be other shapes since it is a design created by the company so that it would be more catchy. If ever you would use a circle as its shape then it will not be complimentary with the design of the main design which is the unusually shaped T. It is necessary to be shaped like this since it would be more attractive to the eye and it is how it was designed by artist so that both the letter and the outline shape would both look good with each other.

Hyperbola (1 Liter Nestea Bottle) The object that was chosen to represent the conic section hyperbola is the neck of the 1 liter bottle of Nestea. As you can see in the picture a hyperbola was formed in the neck part because a hyperbola looks like 2 parabolas back to back. With the help of the hyperbola shaped neck we are able to grip the bottle when pouring juice in our glasses. It won't just be unusual to see a neck of a bottle as square because its purpose to be easily gripped by our hands wouldn't be able to serve its purpose. It is necessary that the bottle's neck to be shaped like this because 1 liter is heavy for one hand so you need to be able to hold unto it well so that it doesn't fall. Having the neck designed like a hyperbola people are able to pour their juices with just one hand.