# Week 6 – Perfect Square Trinomials

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.

# Week 5 – Ugly fractions

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.

# Walter Mitty Daydream Six

“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.

# Week 3 – Simplifying Radicals

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.

.

# Plot Point Photos – “Father and Son”

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.

# Character Sketch – Two Fishermen

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

# Week 2 – Infinite Geometric Series

This week in Pre-Calculus 11 we learned about Geometric Series and how there is finite and infinite Geometric Series. Infinite Geometric Series can be described as converging on a graph. The number continues to get smaller, so you can never really find the sum.

This is the infinite geometric series formula.

Here is an example of infinite geometric series.

We are looking for “r” which is the ratio.

# Capital Punishment in “Two Fisherman”

Capital punishment in Canada started in 1865, with only a handful of crimes eligible for the punishment. For the next hundred-ten years, the crimes that had to be committed to get the death penalty varied. Arthur Lucas and Robert Turpin were the last people to be executed in Canada. The executions took place in 1962, however Capital Punishment was finally removed in 1976 from the Canadian Criminal Code. So if Thomas Delaney’s, from Morley Callaghan’s, “Two Fisherman” execution took place in Canada, it would have had to prior to 1976.

The execution of Thomas Danley is controversial because people’s opinions are dependent on their morals. I think Thomas Danley should not have been executed. He was defending his wife when he caught Rhinehart molesting her, so it wasn’t a premeditated murder. Just because someone takes a life doesn’t give others the right to take their life, that doesn’t make it any better. Thomas should have been left in jail because he did commit a crime that he should have pay for, but not with his own life.

# Week 1 – My Arithmetic Sequence

In the first week of Pre-Calculus 11 we learned about Arithmetic Sequences and Series. We learned how to find the sum, a specific sequence number, and how to solve for the general rule for the sequence. I will be showing you how to do all of these in this blog post.

Sequence —> 13, 22, 31, 40, 49…

Formula —> tn = t1 + (n-1)d

Specific Sequence
t50 = ?

tn = t1 + (n-1)d

t50 = 13 + (50-1)7

t50 = 13 + (49)7

t50 = 13 + 441

t50 = 454

General Formula

tn = t1 + (n-1)d

tn = 13 + (n-1)9

tn = 13 + (9n)

Sum of 50 Terms
Formula —> Sn = \frac{n}{2} (t1 + tn)
S50 = ?

S50 = \frac{50}{2} (t1 + t50)

S50 = \frac{50}{2} (13 + 454)

S50 = 25(467)

S50 = 11,675