This week in Pre-Calculus 11 we learned about equivalent forms of the quadratic functions, analyzing 
General form —>
Standard form —>
When changing between general and standard form you have to use the completing the square method to do so.
This week in Pre-Calculus 11 we learned about quadratic functions. We learned about the properties, looking at an equation and extracting information for the parabola, and analyzing $latexy=a(x-p)^2+q$. I am going to focus on looking at an equation and extracting information for the parabola. Translations can go up and down or side to side. Scales can either stretch or compress the parabola.
$latexy=x^2+p$ —> The parabola moves up/down because there are no brackets around $latexy=x^2+p$
$latexy=(x-p)^2$ —> The parabola moves left or right because there are brackets around x-p. When p is negative the parabola moves to the right but if p is positive the parabola moves to the left.
$larexy=ax^2$ —> The parabola stretches when a is greater than 1. If a is less than one the parabola compresses. Also if a is negative the parabola will open down instead of up.
The Island:
“It was roughly boat-shaped: humped near this end with behind them the jumbled descent to the shore. On either side rocks, cliffs, treetops and a steep slope: forward there, the length of the boat, a tamer descent, tree-clad, with hints of pink: and then the jungly flat of the island, dense green, but drawn at the end to a pink tail. There, where the island petered out in water, was another island; a rock, almost detached, standing like a fort, facing them across the green with one bold, pink bastion” (Golding 26)
Scar:
“Behind this was the darkness of the forest proper and the open space of the scar”. (Golding 4).
Lagoon :
“lagoon was still as a mountain lake—blue of all shades and shadowy green and purple” (10)
Shore:
“The shore was fledged with palm trees. These stood or leaned or reclined against the light and their green feathers were a hundred feet up in the air” (4)
Beach:
“The beach between the palm terrace and the water drew to a point at infinity; and always, almost invisible, was the heat” (Golding 4).
Mountain :
“rock of the cliff was split and the top littered with great lumps that seemed to totter” (Golding 113)
Forest:
“Flower and fruit grew together on the same tree and everywhere was the scent of ripeness and the booming of a million bees at pasture” (Golding 77)
Reef:
“The reef enclosed more than one side of the island, lying perhaps a mile out and parallel to what they now thought of as their beach” (Golding 38)
Platform:
“Here the beach was interrupted abruptly by the square motif of the landscape; a great platform of pink granite thrust up uncompromisingly through forest and terrace and sand and lagoon to make a raised jetty four feet high. The top of this was covered with a thin layer of soil and coarse grass and shaded with young palm trees.”(Golding 13)
Jungle:
Ralph disentangled himself cautiously and stole away through the branches. In a few seconds the fat boy’s grunts were behind him and he was hurrying toward the screen that still lay between him and the lagoon. He climbed over a broken trunk and was out of the jungle. (Golding 10)
This week in Pre-Calculus 11 we learned about perfect square trinomials. We learned how to regonize and factor them. How can you identify perfect square trinomials? You need to look at each term.
The first term is a perfect square
The third term is a perfect square that must be positive.
The second term can be positive or negative.
This week in Pre-Calculus 11 we learned about factoring polynomials. Ms. Burton gave a very useful acronym Can Divers Pee Easily Underwater.
Common
Difference of squares
Pattern
Easy
Ugly
These are the steps that help break down a polynomial and properly factor it. In this blog post I am going to focus on Ugly polynomials because it was something I struggled with. There are multiply ways to factor ugly polynomials but I prefer the square method. This is my favourite because it looks nice, its easy to understand, and breaks it down right to the answer.
First I identified is there was anything in common, if there was a difference of squares, or a pattern.
I noticed the pattern of a normal polynomial, then asked if it is easy or ugly? You can identify this by looking infront of the squares variable, so if there is no coefficient then it is easy but if there is a coefficient then it is ugly. So this polynomial is ugly.
“To hell with the handkerchief,” said Walter Mitty scornfully. He took one last drag on his cigarette and snapped it away. Then, with that faint, fleeting smile playing about his lips, he faced the firing squad; erect and motionless, proud and disdainful, Walter Mitty the Undefeated, inscrutable to the last. The firing squad aimed, Walter Mitty kept his head high waiting to greet death. A woman jumped through the crowd as the firing squad had their fingers on their tiggers, ready to shoot. She opened her mouth to say something, but she was too late and Walter knew it as the he heard the guns go off “Aaaaaah!”…
“What is wrong dear?” Mrs. Mitty asked the young lady who had just screamed for no apparent reason.
“That m-man ju-just took m-my purse,” the lady replied with tears in her eyes threatening to fall. Mrs. Mitty wrapped her arms around the girl and tried her best to comfort her. Telling her that everything is okay, and that someone will get the police.
Once the police arrived Walter and his wife headed home. The drive home was quiet; when they finally arrived home Mrs. Mitty headed to the kitchen to begin dinner.
“Walter, did you eat all the bread?” Mrs. Mitty called rather insinuatingly.
“No, there should be more in the cabinet.” replied Walter as he headed into the living room.
“Where is that dog?” He thought to himself as he checked under the coffee table, that is when he spotted the blonde cocker spaniel coming down the stairs. The little dog came into the living room; her tail began wagging once she spotted Walter. He bent down and reached into his pocket for the puppy biscuit. The spaniel spotted the puppy biscuit and jumped at him…
“Roooaarrrr” he jumped out of the way as the beast lunged for him. When he turned back to face the beast, but the lion jumped again and had Walter pinned. He frantically looked around for anything to hit the her with. The insolent animal bit his arm as he went to strike it in the side, this distracted the beast long enough for Walter to grab a log and hit it in the face. He then reached for some dirt and threw into her face. Walter got up and started running , he needed to find it before this beast kills him. He stopped at a small little pond to clean the bite mark on his arm. He looked in his reflection and saw a haggard looking man. That’s when he saw it out of the corner of his eye, the cave entrance he has been looking for, for three weeks now. As he stepped into the cave he he quietly whispered to himself, “The life of an archeologist was gonna get him killed.”
This was the second time this trip a wild animal has tried to make him a meal. He heard the soft breathing of the lion as she entered the cave stalking her prey. He stepped behind a large rock and noticed there was gap with the slightest bit of light flowing through it. Walter hurriedly stepped into the gap, as the lion stepped around the boulder. He heard a growl and started running as fast as he could through the narrow space. The light getting brighter as he sprinted through. The sun is setting he does not have much time till he looses daylight. As he neared the end of the tunnel he noticed there was a ledge and looked back at the lion which was getting closer. Once he got to the edge he saw his next clue, the waterfall, so he jumped.
This week in Pre-Calculus 11 we learned about multiplying and dividing radicals. I struggled to understand multiplying radical expressions and thought it would be good for this weeks blog post. When you are multiplying radical expressions you need to make sure to use the distributive property.
Equation:
Use the distributive property.
This week in Pre-Calculus 11 we reviewed some math 10 radical work and started to simplify radical expressions. I will be focusing on simplifying radical expressions for this weeks blog post.
Step one-
Bring in the coefficient and leave the negative outside of the radical.
Step Two-
Cube the coefficient that you brought into the radicand.
Step three-
Check for common numbers if there isn’t any multiply the numerators and denominators.
Then you should have your final answer.
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The short story “Father and Son,” by Bernard MacLaverty is about the broken relationship of a son and his Father. The Photo Compilation Plot Point project analyzes the plot of the story and gives a visual aspect. MacLaverty alternates the point of view between the Father and son throughout the story. This style of writing lets the reader inside both the character’s heads. Through the duration of the story it is obvious that there is a strain the relationship, that is not one or the others fault. MacLaverty hints at previous issues the son has had as well as the problems the father is now going through. The hope of this project is to break down key points in the plot and analyze them to give greater detail.
Exposition-
“He will stand in his bare feet, his shoes and sock is in his hand, looking at me” (MacLaverty 165)
From the start of story MacLaverty shows right away how much the father cares for the son. It introduces the topic of the father observing the son and the son knows but doesn’t react. These actions lead into the bigger picture of their relationship and their future together.
Initiating Incident-
“‘Wake up, son. I’m away to my work. Where are you going today?’ ‘What’s it to you?’” (MacLaverty 165)
This shows how little emotion and reaction the son shows to his Father. The Father is trying to show an interest and care for the son, but the son pushes him away. Even though the Fathers actions seem normal, but it shows the first sign of his paranoia. Throughout the story it becomes more apparent that the Father is paranoid.
Rising Action –
“‘What do you be doing out to this time?’ ‘Not again’ ‘Answer me.’ ‘Talking.’ ‘Who with?’ ‘Friends. Just go to bed, Da, will you?’ ‘What do you talk about?’ ‘Nothing much’ ‘Talk to me, son.’ ‘What about?’“ (MacLaverty 166)
This quote shows the more paranoid side of the Father and also the troubled relationship he has with his son. The son gives short answer and is unresponsive to the conversation. The Father pushes really hard on the son to have communication but it’s clear the son doesn’t want that.
Rising Action-
“The door swings open and he pushes a hand gun beneath the pillow seen long enough, black and squat, dull like a garden slug. He sits, my son, his hands idling empty, staring hatred” (MacLaverty 169)
The Father constantly checks up on his son to see that he’s alive and to know what he is doing. It’s clear in the story that the son does not like the Father knowing what he is doing. The sons actions bring himself into dangerous situations which could justify the fathers paranoid actions.
Rising Action-
“There is a ring at the door. The boy answers it, his shirt-tail out. Voices in the hallway. My son with friends. Talking. What he does not do with me” (MacLaverty 169)
The son is more trusting of his friends and acquaintances than he is of his own Father. At this point in the story the father is obsessing with the sons lack of communication and that overtakes his paranoia. It’s surprising that the father is more jealous of the relationship the son has with the person at the door, rather than being paranoid about who is at the door.
Climax-
“There was a bang. A dish cloth drops from my hand and I run to the door. Not believing…” (MacLaverty 169)
The father knows that a gun was shot and he doesn’t hesitate, he just runs toward the door where the sound came from. All the paranoia is gone his is only worried about his sons well being. He is aware of the gun shot but doesn’t want to believe his son is hurt.
Falling Action-
“Blood is spilling from his nose. They have punched you and you are not badly hurt. Your nose is bleeding. Something cold at the back of your neck” (MacLaverty 169)
The father finds his son and he does not let himself believe that his son is dead. He tries to convince him self that they just punched him and that he imagined the gun shot. The father is still trying care for him even though he knows the son is dead.
Denouement-
“I take my sons limp head in my hands…My son, let me put my arms around you” (MacLaverty 169)
The Father is still looking for the connection even when his son is dead. When he puts his arms around his son he is trying to comfort him. The Father still wants to give him love.
K. Smith, is a character from the short story to fisherman by Morley Callaghan. He is
also known as Smitty. He is a simple, shy person who wants very little from other
people; however many people choose not to talk to him because he is a hangman. The
town reporter, Michael Foster, approaches Smitty to get information for his article.
Michael soon discovers that Smitty is misunderstood, and people give him a quick
judgment. Smitty thinks, “Somebody’s got to do my job. There’s got to be a hangman.”
(Callaghan 2) he is detached from his job; Smitty prefers to, “… never read about them.”
Because it would make the job too hard for him (Callaghan 2). K. Smith, is a
misunderstood character who has simple beliefs and a simple life, but many people
would rather judge him then get to know him.
https://www.gettyimages.ca/detail/photo/rowboat-fishermen-silhouette-royalty-free-image/514236885
