Math Calculation Formation for Mrs. Phillips

CALCULATION FORMATION - Marishka S.

Calculate the missing length. Explain your method.

Q1There is a triangle with a perimeter of 6.7cm, with sides that are 1.8cm and 2.4cm, so the question is what is the missing length of 3^rd side. To answer this question I . . .

Subtract the 2 side’s length from the overall perimeter because a triangle is made of 3 sides and to find the length of the 3^rd you would simply need to subtract the two sides from the perimeter so . . .

6.7 (perimeter) – 1.8 (L of side 1) - 2.4 (L of side 2) = 2.5 (L of missing side)

In conclusion the missing length of side 3 is 2.5cm.

Q2 There is a polygon with a perimeter of 28.5 cm, along with sides that are 3.9cm, 6.6cm and 7.8cm, so what is the missing length of the 4^th side?

In order to find the answer to this question, you would need to follow the same routine as Q1. To answer this question you subtract all the sides’ length from the perimeter, since there are 4 sides with 3 that already have their perimeter labeled you would need to find the length of the 3^rd side by. . .

28.5cm (perimeter) – 7.8cm (L of side 1) – 3.9cm (L of side 2) – 6.6cm (L of side 3) =10.2cm (L of missing side) I conclusion the length of the 4^th missing side is 10.2cm.

Calculate the area of each figure. Describe your method.

Q3 This particular polygon is a regular polygon, so its sides and angles are congruent. Though this shape is not a shape that one sees very often, and it is not a rectangle so you cannot times length by width, instead there are other ways to do this. BUT before I explain how to find the area, everyone needs to know the length of the missing side.

19cm is the length of the whole base but the top is much shorter and thankfully both have the measurement listed so . . . all one would need to do is subtract 19 (bottom base) by 11.2 (top) to get 7.8cm because you would need the length of that to find the area of the 2^nd rectangle. Now, did you know that this polygon has two rectangles within it so it would be quite to simple to just calculate the length times the width of each and then add them together, and so that’s what I did to get the full area of the complete polygon.

Calculations: Rectangle 1: 11.2cm ^(L) x 12cm ^(W) = 134.4cm²

Rectangle 2: 7.4cm ^(L) x 2cm ^(W) = 15.6cm²

Now add . . . 134.4cm² + 15.6cm² = 150cm²

In conclusion the area of the polygon in Q3 is 150cm².

Q4 This also is a regular polygon that can be divided into 2 separate rectangles similar to the previous one. BUT like before I first need to find the length of the one side that does not have its length listed. So I subtract the top width from the bottom base because the base has a longer length, 9.5cm – 4.9cm = 4.6cm. Now can’t forget that the whole purpose of this was to find the area so I once again x L by the W to find the area of each rectangle.

Calculations; Rectangle 1: 4.6cm ^(L) x 5.7cm ^(W) = 26.22cm²

Rectangle 2: 4.9cm ^(L) x 11.4cm ^(W) = 55.86cm²

Now add . . . 26.22cm² + 55.86cm² = 82.08cm²

In conclusion the area of the polygon in Q4 is 82.08cm²

Calculate for each polygon.

Q5 A. The area of the auditorium.

Perhaps you have noticed that all parallelograms look a lot like slanted rectangles or squares. When I’m calculating the area of a parallelogram I always imagine that I have unslanted this figure so it looks like any ordinary square or rectangle. I tend to use this method a lot, I mostly calculate it the same way as well, but things change in parallelograms, instead of doing length x width like a rectangle you would need to do base x height instead. So . . . I would calculate the area by multiplying them, 45m ^(B) x 40m ^(H) = 1800m^{2 (A)}

So the simple conclusion would be that the area of the auditorium in Q5a is 1800m².

B. The area and perimeter of the wall tile.

Another parallelogram! Let’s start with area. First in my mind I form an image of the same figure except this is unslanted. Now I multiply the base by the height of the polygon so it would be 5cm ^(H) x 12cm ^(B) = 60cm^{2 (A)}. So that is the area of this polygon, 60cm², but what is its perimeter? In my mind I continue to keep the image unslanted and then I remember that this is a rectangle and all rectangle have 2 pairs of parallel sides so I all I need to do is calculate by adding up the sides. I know that the L is 12cm and the W is 5cm so I add 5cm + 12cm x2 because I can’t forget that they are parallel sides so they each have a pair with the same length and the answer is . . . 34cm. The perimeter of the wall tile is 34cm and the area of the wall tile is 60cm².

C. The area and perimeter of the table top.

Parallelogram again! JI’ll describe this one in steps. First slant image in mind (not necessary but helps). Now times 1.5m x 1.5m = 2.25m², this is area. Next for perimeter x 1.5cm by 4 because this figure is a square and square have 4 sides all with the same length like this one, the answer to this is 6cm. So the area of the table top is 2.25cm² and the perimeter of the table top is 6cm.

Calculate the perimeter and area of each figure.

Q6 This shape when you first look at it looks like it is a shape that you will have some difficulty finding the area of but like I said before ALL shapes can be split to make smaller shapes that you can easily find the area of, but enough talk let’s get started. First split this image into smaller rectangles, I made 3 . . . as shown. Then I found the area of each one separately.

Calculations; Rectangle 1; 1.2cm (W) x 2.7cm (H) = 3.24cm²

Rectangle 2; 1.2cm (W) x 2.7cm (H) = 3.24cm²

Rectangle 3; 6.5cm (W) x 12.8cm (H) = 83.2cm²

Now add . . . 3.24cm² + 3.24cm² + 83.2cm² = 89.68cm²

The area of this figure is 89.68cm².

Now Perimeter, this gets a little tricky because on of the sides is not labeled so it isn’t all just adding. But don’t fret; finding the measurement of a side is easy. As you can see, the length of this figure is 12.8cm and at the top there are two other congruent measurements that determine the value of the missing factor so now what you do is add 2.7cm to 2.7cm and then subtract the value from 12.8cm and the answer, which is 7.4cm will be revealed. Now this missing value will help find the perimeter. All one has to do now is add the measurement of all the sides together to create the sum also know as the perimeter of this figure.

2.7cm + 1.2cm + 7.4cm + 1.2cm + 2.7cm + 6.5cm + 12.8cm + 6.5cm = 41cm

So the perimeter of this figure is 41cm.

Q7 WOW! This is going to take some work. When I first saw this figure I automatically saw a parallelogram although it isn’t, the sides appear to be slanted. Also there are 2 sets of parallel sides, BUT enough observations. I will describe this in a step by step method to finding area and perimeter to create less confusion, I’ll start with area.

- I slant image in my mind (not necessary but helps)

- I create two rectangles to make it easier to calculate area.

- Calculate area of Rectangle 1 14.3cm (B) x 12.2cm (H) = 174.46cm²

- Find length of missing value 14.3cm - 7.6cm =6.7cm

- Calculate area of rectangle 2 6.7cm (B) x 1.3cm (H) = 8.71cm²

- Add up areas of rectangles 174.46cm² (R1) + 8.71cm² (R2) = 183.17cm²

There we go, that gives me an answer of 183.17cm² which is the area of this figure.

Now all that is left is the perimeter. Since I already found the missing value all I need to do is add up the measurement for all the sides, here we go . . .

14.3cm + 16cm + 6.7cm + 3.8cm + 7.6cm + 12.2cm = 60.6cm

That’s it. 60.6cm is the perimeter of this figure.

Wordier Problems . . .

Q8 A Builder charges $660.00 for a fence around 3 sides of a square deck. Each side of the deck is 5.5m. What is the cost per meter of fence?

There is a square deck that needs to be fenced but what is the cost per fence? Well, first off 3 sides are being fenced and we know that, each side is 5.5m so we need to multiply that by 3; 5.5m x 3 = 16.5m. Now we need to figure the cost of it. There is exactly 16.5m of fencing and the cost of this is $660.00, so we simply divide $660.00 ÷ 16.5m = $40. So the cost of a meter of fencing is $40.

Q9 A kitchen counter measures 210cm by 60cm. The hole cut out for the sink is 78cm by 46cm. What is the area of working surface on the counter?

In this particular question you also need to do subtraction, but first we start with multiplication. One would need to multiply to find the areas of both the counter and the sink. 210cm x 60cm = 12600cm² and for the sink 78cm x 46cm = 3588cm². Now one needs to subtract the sink’s area from the counter’s area because most people don’t work and cook in the sink and we only want the area of the working surface on the counter. 12600cm² – 3588cm² = 9012cm². 9012cm² is working surface on the kitchen counter.

Q10 A. The Chaus put a garden at one end of their rectangular yard and a patio at the other. They put sod in the middle.

Calculate the area of the sod.

Because the shape of the sod is in the form of a parallelogram, I would have to do the parallelogram formula to get the area, so I would do b x h = Area. So, 15.2m x 8.5m = 129m². The area of the sod is 129m².

B. Sod costs $15.75/m². Calculate the total cost of the sod.

It’s a good thing that we already have the sod area in m², now I need to multiply the area of sod by its cost. 129m² x $15.75 = $2031.75. The cost of 129m² of sod is $2031.75.

C. The patio and the garden are of the same size. What is the area of each?

The patio and garden are both in the form of a triangle, so I need to use the triangle area method to find their area, which is base x altitude ÷ 2 = area.

So now . . . 4.8m x 8.5m ÷ 2 = 20.4m². The area of bot

Movie Review?

Pick a movie we have seen.
~ Have an opinion
~ Who is the audience?
~ have an outline - Talk about the begining, middle and end.
~ Who are the actors? - Good bad performance?
~ Structure - Was perdictable? was there a TWST?
~ Cinematography - Shooting, lighting *** Good*** Bad?
~ Music - Soundtrack - Popular singers?

The Norwegian Nobel Peace Prize Bibliography

Websites - http://nobelpeaceprize.org/ , http://nobelprize.org/index.html and http://en.wikipedia.org/wiki/Nobel_Peace_Prize No Books

view more on The Norwegian Nobel Peace Prize report by the Essay Blog

PLEASE SCROLL DOWN TO VIEW MORE!!

A nomination is considered valid if it is submitted by a person who falls within one of the following categories:

Members of national assemblies and governments, and members of the Inter-Parliamentary Union

Members of the Permanent Court of Arbitration at the Hague and of the International Court of Justice at the Hague

Members of Institut de Droit International

University professors of history, political science, philosophy, law and theology, and university presidents and directors of peace research institutes and institutes of international affairs

Former Nobel Peace Prize Laureates and board members of institutions that have previously been awarded the Nobel Peace Prize

Present and past members of the Norwegian Nobel Committee

Former permanent advisers to the Norwegian Nobel Institute

ON

Alfred Nobel's Will

"The whole of my remaining realisable estate shall be disposed of in the following way:
the capital, invested in safe securities by my executors, shall constitute a fund, the interest on which shall be annually awarded as prizes to those who, during the preceding year, shall have conferred the greatest benefit on mankind. The interest shall be divided into five equal parts, to be apportioned as follows: one part to the person who shall have made the most important discovery or invention in the field of physics; one part to the person who shall have made the most important chemical discovery or invention; one part to the person who shall have made the most important discovery within the domain of physiology or medicine; one part to the person who in the field of literature shall have produced the most outstanding work of an idealistic tendency; and one part to the person who shall have done the most or the best work for fraternity between the nations and the abolition or reduction of standing armies and the formation and spreading of peace congresses. The prizes for physics and chemistry shall be awarded by the Swedish Academy of Sciences; for physiological or medical works by the Carolinska Institute in Stockholm; for literature by the Academy in Stockholm, and for advocates of peace by a committee of five persons to be selected by the Norwegian Storting. It is my express wish that in the awarding of the prizes no consideration shall be given to national affiliations of any kind, so that the most worthy shall receive the prize, whether he be Scandinavian or not." [Emphases added.]

How to Tie a Tie

How To Tie A tie

Materials

- Tie
- Human Body

Instructions

First of all lift up the collar of your shirt and wrap the tie around the back of your neck. The wide end of the tie should hang down about twice as low as the thin end; it can hang closer to your right or left hand, depending on what's more comfortable for you. Then wrap the wide end around the thin end twice, a few inches below your neck. The wide end should go over the thin end first. After wrapping the wide end around the second time, push it through the back of the V-shape made by the partially formed knot. Next tuck the wide end of the tie through the front loop of the knot. Gently pull down on both the thin and wide ends below the knot until the knot is tight. Hold the thin end of the tie while you slide the knot slowly up to your neck.

Now look down at your handiwork. If the thin end hangs below the wide end, untie the tie and begin again, this time with the wide end hanging lower than it did the first time. Or, if the wide end hangs too low, untie the tie and begin again with the wide end hanging higher than it did the first time. Once you are satisfied with the way you've tied the tie, flip your collar back down and be on your way.

My Horror/Mystery/Suspense Story

The Wrath of the Friendship Doll

Siobhan heard a knock at the front door. Siobhan was told by her mother to never answer the door when she was home alone so Siobhan knew she couldn't answer but she could peek through the peep hole and find out who was knocking! Siobhan thought to herself that her mother was much too paranoid being that she was fourteen and totally competent to take care of herself when mother was at work. Siobhan thought it might be a birthday present because her birthday was right around the corner, to be specific only 1 day away! Siobhan looked through the peephole. Siobhan saw someone in a coat dash away quickly so she could not see who it was. Dang! Thought Siobhan to herself, and just couldn't help but open the door.

Siobhan turned on the outside light before opening the door. Siobhan wished she had turned on the light sooner and maybe she would have seen who was lurking at her doorstep. Oh well thought Siobhan, they are gone now anyways so there is no use in giving it a second thought.

Siobhan proceeded to open the door. To Siobhan’s amazement Siobhan saw a very large package on her front step. Yay! Thought Siobhan it is a gift! Siobhan quickly dashed back into the house and shut the door behind her locking both locks.

Siobhan went into the living room with her large package. It was marked..."Open now and get a very nice surprise...” Siobhan then tore apart the brown paper and looked at the box; all at once she opened it and peered inside. It was a doll. It was a very unusual doll to say the least. The doll was made out of porcelain and had blond hair and very unusual eyes. The doll had eyelashes and lots of eyeliner that was smudged around its eyes. The dolls clothes looked rather old and dingy. Siobhan thought this was the weirdest present she had ever received but somehow Siobhan liked this doll. All of a sudden the doll opened its mouth and said "hello" in a very deep voice. Siobhan’s eyes opened wide and looked at the doll and mouthed “hello” back but not making any sound. Siobhan was amazed! This must be one of those talking dolls thought Siobhan, and took the doll out of the box.

The doll moved its eyes looking around. Siobhan’s cat, Precious didn't like the doll and growled at it and ran off. Siobhan thought that was odd of Precious to do, oh well, he is just a silly old cat, what does he know. Siobhan started to examine the doll closer. It didn't have anywhere to put batteries and seemed all self contained. It seemed to be just a porcelain doll that could talk and move its eyes on its own. Siobhan got up to go fix something to eat. Siobhan was toasting some pop tarts and looked up and the doll was sitting next to the toaster with a very odd smile on her face. This doll had teeth and was smiling very widely. The doll had a expression that seemed kind of sinister to say the least. Siobhan looked at the doll and said "well” you are not getting any of my pop tarts so you just better lay off." The doll answered Siobhan and said...”I don't want pop tarts I just want us to be friends." Siobhan jumped. Siobhan looked at the doll. Siobhan was really scared now. She felt chill bumps run up her back and on her arms. Siobhan looked at the doll as the doll was staring at Siobhan.

Siobhan told the doll, "well I do not want to be friends with you and I am going to get rid of you now!" Siobhan grabbed the doll by its feet and started to take it toward the meat grinder. Siobhan’s dad loved to grind his own meat and she thought this was a great idea to just smash the doll right inside of the grinder and grind her up.

The doll got away from Siobhan somehow. Siobhan looked down at the doll. The doll looked at Siobhan. "I just want to be friends, Siobhan, can't we just be friends?" the doll sneered. Beep Beep Beep! Siobhan rolled toward her alarm clock and turned it off. Whew! Siobhan thought, I am so glad that was a dream. Siobhan started to get out of bed. Siobhan’s mom came into her room with a large box and said to Siobhan. "Happy Birthday!" Siobhan looked at the box. Siobhan looked at her mom. Her mom starts "well”, aren't you going to open it?" Siobhan said..."well, o.k. and thought that was just a crazy dream and it could never really happen. She started to open the box and a little hand grabbed Siobhan from inside the box. Ow! Siobhan said that hurts! The doll jumped out of the box and smiled at Siobhan, it was the same doll from her dream!

Beep! Beep! Beep! Siobhan looked at her alarm clock, and said, oh that was just a dream and thought she had never had two dreams in a row like that before and got out of bed. She was looking forward to a nice birthday. Siobhan went toward the kitchen to eat breakfast and on the table was a big box and on the box said "open” now and get a really nice surprise!"

By: Marishka Shah