Week 8 – Transforming the graph

This week I learned how to transform the graph of y=x^{2}.

Here is a common question:

This question asked me to graph without using a calculator or table of values. I graphed this by knowing that  x^{2} always creates a parabola and if the coffient of x^{2} is positive it faces up and if it is negative it faces down. Parabolas with a coffiecent of 1 have a congruent shape, with a pattern of 1, 3, 5 so i could plot the points. In the form of y=x^{2}+q q is the y intercept so that is where the vertex is. That information made it so I could graph without a calculator or table of values.

Week 7 – Interpreting the Discriminant

This week I learned how to interpret the discriminant.

Here is a common question:

This question asked me to determine the values of k for which each equation has no real roots. The first thing you need to do is determine a formula for the discriminant which is the part of the equation in the quadratic formula under the radicand b^{2}-4ac<0. You make the formula to less than zero because you want the discriminant to be negative, you can’t take a root of a negative number so the equation will have no real roots. Then you substitute a b and c into to the and use BEDMAS to solve for k. You figure out if k is less than \frac{-27}{4} there will be no answer to the equation because the discriminant is negative.

Week 6 – Using Square Roots to Solve Quadratic Equations

This week I learned how to solve quadratic equations using square roots.

Here is a common question:

This question asked me to solve the equation by completing the square. The first thing you need to do in this question is make it a square. You figure out the square by chopping the middle term in half \frac{5}{2} then square it \frac{25}{4}. You add \frac{25}{4} into the equation by making it a zero pair. Then you can solve for x by simplifying the part of the equation that is in brackets to (x+5/2)^{2} and add together the part not in brackets to get \frac{-37}{4}. After you have done this you move \frac{37}{4} to the other side of the equation and square root the whole thing. Then you can move \frac{5}{2} to the other side. Once you have done this you have simplified for x.

Week 5 – Solving Radical Equations

This week I learned how to solve radical equations.

Here is a common question:

This question asked me if the equation had a real root. First I used algebra to solve for x. Then I determined what were the restrictions on x and when I did this I had to switch the more than or equal too sign to the other side because the coefficient was negative. After I just had to plug in -2 for x in the equation so I could check the answer. I determined this equation had a real root.

Week 4 – Adding and Subtracting Radical Expressions

This week I learned how to add and subtract radical expressions.

This is a question I was stuck on:

In simplifying this problem you need to add together all the sides of the shape formed. When doing this you need to first simplify \sqrt{50} and then \sqrt{24}. Then you add the common radicands together to simplify the problem. I had trouble realizing that the roots were the values for the sides of the shape.

Week 2 – Geometric Sequences

This week I learned about geometric sequences.

Here is a common question:

In solving this problem you first need to find “R” by using the formula \frac{t_2}{t_1}. Once you have found “R”, you can input all the values you have into the formula t_{n}=ar^{(n-1)}. Using BEDMAS go step by step to find your answer.

DOAS Monologue

Howard Loman

I am in life that is overshadowed by my older brother Biff. I love him, but my parents only care about him. I even tried to tell my parents that I am having a baby and they didn’t care. That is not the only problem with my family, my dad is crazy and he has weird flashbacks all the time, I’m embarrassed to be with him in public. I also still have to live with my depressing family, because I cannot keep a good job. The only thing I got going for me is that I’m sweet with the ladies and lie about my real life. I can get with chicks that are dating my bosses, and then I go to their weddings. Overall my goal in life is to move out west and start a farm with my brother, so I can work a real mans job. PS my nickname is Happy.

Blackout Poem – “The Stranger”

“The stranger” Analysis

The poem, “The Stranger,” by Gord Downie has a deeper meaning than what the reader may consider. From reading the poem with no background information the reader would think it is about a lonely man walking down a path. However, the poem is actually telling the tragic story of 12-year-old Chanie Wenjack, who died in 1966 after running away from the Cecilia Jeffrey Indian Residential School in Kenora, Ontario. This poem is one of a collection of poems from Gord Downie’s Secret Path that have been formed into songs, a book and an animated film. The collection of poems are all about Wenjack’s story. A theme for this poem would be that people run from their problems when there is no outlet to communicate them. Gord Downie uses many helpful poetic devices to convey his message. For example, he uses repetition of the line, “I am the stranger,” to try and emphasize this mood. He uses an allusion to a stereotype by saying, “My dad is not a wild man,” to try and show that not everyone follows this stereotype. Another poetic device used is imagery of, “On a secret path,” to show the reader the feeling of Wenjack being alone and nobody being there to help him. Also, “Let me catch my breath,” is personification, because you can’t actually catch your breath. In this poem Gord Downie reflects on a part of Canadian history that not many people like to talk about. Canadian Residential schools were a shameful way of treating First Nations people. The country had a 130-year practice of ripping aboriginal children away from their families on a thoughtless mission to assimilate them, force Christianity upon them and destroy an entire culture that had walked these lands for generations. The story of Chanie Wenjack is painful and unsettling, but as Canadians we need to learn from this and about the thousands of others like Wenjack.