Archive of ‘Grade 11’ category

30
Apr
2019

Week 11 – PreCalc 11

categories: Math 11

In Precalc this week we learned how to solve quadratic inequalities. When its greater than or equal to and less than or equal to, the line is solid. And when it’s just <,> the line is dashed. Then you have to shade one side of the line, to figure out which side to shade use a test point, you can generally use the point (0,0). If it’s true shade the side with that coordinate, if not shade the other side.

30
Apr
2019

Week 10 – Precalc 11

categories: Math 11

This week in pre-calculus we were reviewing for our midterm. There was a lot I had to re-learn this week but the one thing I struggled with the most was how to solve quadratic equations and putting it into the quadratic formula.

Example:

15
Apr
2019

Week 9 – PreCalc 11

categories: Math 11

This week in pre-calculus we learned how to change an equation into general form to vertex form and vise versa. By changing it we get more information about the different key points on the graph which makes it easier to graph the equation.

To do this we need to complete the square.

Ex/ 

08
Apr
2019

Blog-Log 2 – The Results of Dying Coral Reefs

categories: English 11, Grade 11, Uncategorized

Read Article: Here

The other day, I was having a conversation with my friend about how you can adopt a coral. This was my first time hearing about it which made me want to learn more. I found this article titled “Coral Reefs: we continue to take more than we give.” I really enjoyed how the author was very straight to the point and informative. Coral reefs house 25% of all marine life, it offers food, medicine and environmental protection, it reduces the damage of storms. The article indicates that coral reefs are slowly degrading because of climate change, ocean acidification, destructive fishing and multiple other reasons. We are constantly being told lately, especially in the media of how our Earth is slowly dying, but it’s rare for anyone to be informed on what we can do to help prevent it. By adopting a coral it’s a contribution to help our earth. The reefs are contaminated by over 11 billion pieces of plastic, leading to coral diseases. If greater action is not taken, we will lose all our reefs along with many marine species by 2050. When adopting a coral they plant a new one were the dead coral is to help it regrow. This article illustrates the importance of our reefs.

08
Apr
2019

Week 8 – PreCalc 11

categories: Math 11

This week in precalc we learned about the key points in standard form/vertex form and how to use them to graph a quadratic equation.

the equation is f(x) = a(x-p)^2 +q

The coefficient a shows the stretch of the parabola if a = 1 its the  1-3-5 pattern, if a>1 the parabola gets skinner and if |a|<1 it gets wider. If a has a negative sign in front of it that means that it opens downwards.

The p is the horizontal translation, it shows if it moves to the right or the left of the graph. When it +p it’s moved to the left, but when it’s -p it’s moved to the right.

The q is the vertical translation, when its positive it’s moved upwards and when it’s negative it’s moved down the graph.

Also we can find the vertex it’s (p,q)

 

15
Mar
2019

Week 7 – PreCalc 11

categories: Grade 11, Math 11

This week in Pre-Calc we learned about discriminants. A discriminant gives information about the roots of the quadratic equation. We use b^2 -4ac to find the value.

  • If it is less than 0, there are no real roots.
  • If it is equal to 0, there’s one real root.
  • If it is greater than, 0 there are two real roots.

Ex: 2x^2 -7x +3 = 0

a=2, b=-7 c=3

step 1: (-7)^2 -4(2)(3)

step 2: 49 - 24

step 3: 25

The discriminant is 25, because it is greater than 0, this means that this quadratic equation has two real roots.

 

 

10
Mar
2019

Week 6 – PreCalc 11

categories: Grade 11, Math 11

This week in pre-calc we’ve been learning how to use factoring to solve quadratic equations. Something I challenged with at first was using the perfect square trinomial method because of all the steps involved.

Example: 2x^2 - 8x +9 = 0

There are no two numbers that add to -8 and 9 so the first thing to do is move the 9 to the other side. Now we can find a something in common to take out of the 2x^2 -8 = -9

  1. 2(x^2 - 4x) = -9 before factoring the trinomial I factored out the 2.
  2. 2(x^2 - 4x +4 -4) +9 = 0 I moved the 9 back over and the +4 -4 are now                                                           there because we took the half of 4 which is two                                                            and the squared it to put it back in.
  3. 2(x-2)^2 -8 +9 = 0 the -8 is now there because the 2 in front of the brackets                                                      needs to be mulitiplied with the -4 in order to take                                                       it out of the brackets.
  4. 2(x-2)^2 = -1 in this part the -8 is subtracted by the 9 and which gave us +1                                         and we moved it over to the right side of the equation.
  5. (x-2)^2 = \frac {-1}{2} divide both sides by 2 to get rid of the                                                                                coefficient in front of the brackets.
  6. x-2 = +- \sqrt \frac {-1}{2} to get rid of the x-2 squared both sides need to                                                                be square rooted.
  7. At this point we can see there’s a negative under the root which is not possible because we can’t square root a negative number. This means that this equation has no solution.

 

07
Mar
2019

Blog Log 1 – Misinformation Leads to ‘Vaccine-Hesitant’ Parents

categories: English 11, Grade 11

Read the article: here

I found this article interesting because recently vaccines have been very controversial and I am someone who strongly believes in them. There’s been news articles recently in the media about measles and other preventable viruses that are making a comeback.Yet some parents still refuse to vaccinate their children. Misinformation has been put out there that vaccines such as measles and MMR can cause autism, but this has been debunked by many studies. The writer was very honest and didn’t hold back on sharing his opinion which I liked. He exemplifies how once this false information is out there, parents become hesitant and have misguided fear. His wife who is a family physician said “Don’t vilify, bully or mock the parents, but try to empathize and teach, and then empower them.” This quote is important because it suggests that these parent’s are being misinformed, and instead of mocking and judging them the doctor’s need to re-educate them on the importance of vaccines. A lot of misinformation comes from social media, which is why it’s critical to keep and open mind and don’t believe everything we read.

28
Feb
2019

Week 5 – PreCalc 11

categories: Grade 11, Math 11

This week in precalc we learned about how to solve radical equations. Whenever we’re solving an equation we always have to do the same thing to both sides. After solving for the variable we always have to verify the solution to make sure it is a real root. when there’s a radical involved we have to square both sides to get rid of it, which is what I did in line to.

Example:

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