# Week 11 – Graphing Inequalities

This week I have learned how to solve graphing inequalities; linear and quadratic functions.

When the equal sign in a quadratic or linear equation is replaced with an inequality sign, a quadratic inequality in one variable is formed. It also determines the domain and range for one equation. It is a very useful when having graphing skills. I have a example of linear and quadratic equation each above. I find determining whether this equation is true or false hard as I have to plug in random points on the graph, which isn’t labelled, which also determine the shaded parts, depending on whether it is true or false.

# Characterization (3D) – “Maurice”

Maurice, second tallest among the choir boys, is a fictional character that shows the savageness next to Roger and Jack. He first appears with a black cap with silver badge, shorts, shirt and black cloak. He is not a mean person but thanks to being with Jack, Roger and being a hunter, he feels powerful and bullies the littluns with Roger by breaking sandcastles. He also bullies Piggy with Jack and Roger by not giving him food, calls name, and physically assaults him. He rebels against Ralph, Simon and Piggy by removing the conch and moves to other area with the other hunters. His clothes are torn, he looks dirty and messy as his stay on the island gets longer just like the other boys. He assualts a pig with Roger and Jack. He enjoys sodomizing a pig with them and dances around with other hunters like savages. Jack, Roger and Maurice forshadows darkness and evilness that’s going to upon on the island.

1 “Then Jack grabbed Maurice and rubbed the stuff over his cheeks”(Golding 195).

• blood on his face

2 “We’ll raid them and take fire. There must be four of you; Henry and you, Robert and Maurice. We’ll put on paint and sneak up;” (Golding 196).

• hunters paint

3 “We ought to have a drum,” said Maurice, “then we could do it properly,” (Golding 165).

• wants a drum, just like the conch

4 “Finally the laughter died away and the naming continued. There was Maurice, next in size among the choir boys to Jack, but broad and grin- ning all the time,” (Golding 27).

• tall and broad, grins a lot

5 “Shorts, shirts, and different garments they carried in their hands; but each boy wore a square black cap with a silver badge on it. Their bodies, from throat to ankle, were hidden by black cloaks which bore a long silver cross on the left breast and each neck was finished off with a ham-bone frill,” (Golding 24).

• wears choir clothes

6 “We shall take fire from the others. Listen. Tomorrow we’ll hunt and get meat. Tonight I’ll go along with two hunters—who’ll come?” (Golding 232).

• hes a hunter

7 “The hunters took their spears, the cooks took spits, and the rest clubs of firewood. A circling movement developed and a chant,” (Golding 217).

• has a spear

8 “’Pick up the pig.’ Maurice and Robert skewered the carcass, lifted the dead weight, and stood ready,” (Golding 197).

• strong
• likes to terrorize littluns
• follows
• not to be messed with because of Jack

# Week 10-Midterm review

This week, it was a review week. We were using our time to answer few questions and ask questions if necessary. While doing reviews, I’ve realized that I forgot about Sequences; Geometric and Arithmetic. The most important ones i realized was that I have to know all the formulas to answer most of the questions. After reviewing through the book, I finally understand the chapter fully.

# Week 9 General Form to Standard Form

This week, I have learned how to convert General Form into Standard Form

Here is an example

It would be hard to see the values but with enough practice, converting would be no problem.

# Week 8 – Properties of Quadratic Formula

This week, I learned how to use the table of values in a quadratic formula to find the vertex, x-intercepts, y- intercepts, range, domain, line of symmetry, whether if its maximum or minimum and direction of parabola.

A formulas we could use are $y=a(x-p)^2+q$ and y=(x+b)(x+c)

The vertex of the quadratic is at (p, q) and for the second formula, we know that x can be -b or -c. We could find a by plugging the points.

This method helps us to draw the graph easily.

# Week 7- Discriminant

This week, I’ve learned how to find discriminants. To find discriminant, you take the b^2 – 4ac from the quadratic formula. The discriminant shows how many roots the quadratic equation is going to have. If its positive, it will have 2 roots, if its 0, it will have 1 root, and if its negative, there are no roots.

Using this method, its going to save more time finding which equation works.

# Lord of The Flies- Island description

The Scar: “Beyond falls and cliffs there was a gash visible in the trees; there were
the splintered trunks and then the drag, leaving only a fringe of palm
between the scar and the sea. There, too, jutting into the lagoon, was the
platform, with insect-like figures moving near it” (Golding 26-27)

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)

Coral Reef: “Out there, perhaps a mile away, the white surf flinked on a coral reef, and
beyond that the open sea was dark blue. Within the irregular arc of coral
the lagoon was still as a mountain lake—blue of all shades and shadowy
green and purple. The beach between the palm terrace and the water
was a thin stick, endless apparently” (Golding 4)

Platform Meeting Place: “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” (Golding 6)

The Forest: “The most usual feature of the rock was a pink cliff surmounted by a skewed block; and that again surmounted, and that again, till the pinkness became a stack of balanced rock projecting through the looped fantasy of the forest creepers. Where the pink cliffs rose out of the ground there were often narrow tracks winding upwards. They could edge along them, deep in the plant world, their faces to the rock.”

Lagoon: “But the island ran true to form and the incredible pool, which clearly was only invaded by the sea at high tide, was so deep at one end as to be dark green. Ralph inspected the whole thirty yards carefully and then plunged in. The water was warmer than his blood and he might have been swimming in a huge bath”

Mountain: “They were on the lip of a circular hollow in the side of the mountain. This was filled with a blue flower, a rock plant of some sort, and the overflow hung down the vent and spilled lavishly among the canopy of the forest. The air was thick with butterflies, lifting, fluttering, settling. Beyond the hollow was the square top of the mountain and soon they were standing on it”

Beach: “The three boys walked briskly on the sand. The tide was low and there was a strip of weed-strewn beach that was almost as firm as a road.”

Shore: “The shore was fledged with palm trees. These stood or leaned or re- clined against the light and their green feathers were a hundred feet up in the air.”

Coral Reef: “The coral was scribbled in the sea as though a giant had bent down to reproduce the shape of the island in a flowing chalk line but tired before he had finished.”

This is the ideal landscape of the island that my group came up with.

Quadratic Formula is a formula used when solving irrational equation or equations that can’t be factorized.

This week, I have learned a new method to factor. Its called quadratic formula. Its somehow easier and convenient to use than factorization as long as you know the formula.

The first step when using this formula is to find what a, b, c are.

For example,

$x^2-12x+36$

a would be 1

b would be -12

c would be 36

when plugging all these numbers into the formula, it would turn out to be

x=-(-12)+/-$sqrt{-12^2-4(1)(36)}div$ 2(1)

x=12+/- $sqrt{144-144}div$ 2

x=12$div$ 2

x=6