This week we did the Mid-term. Leading up to the midterm I did a lot of review. We did the review in class where our groups made our own questions and put the, all into one big review where we solved everyone else’s questions as well. I did all the questions that were on that review page. I also went onto the Pre calc 11website where our textbooks are from and I downloaded that review and completed it as well. Mr. Cornwall also helped me lots after school on Thursday with a bunch of questions that I had. I went to him because he taught me for part of last year and he knows how I learn best so he helped me understand some concepts that weren’t making sense to me before. Some of my friends including; Molly, Chris, JP, and Quinn went to Mr.Chee’s room and used the white board to work together to figure out problems that we didn’t understand. I worked hard over the long weekend with my brother who also help me study. This is some of the most studying I have ever done for a midterm and I really hope it pays off.

Week 9- Pre Calc 11

November 6, 2017 katelynw2015

This week we did lots of review, but we also learned a new lesson on Modelling using quadratic equations. ThIs is the lesson that I struggled with the most in the unit and it’s easier to explain using pictures and numbers rather than words.

In the example we know that when x and y are added together they need to equal 24 so we made the equations x+y=24. The equation can also be represented by y=x-24. On the right side of the page we graphed out the equation to show us a visual representation of our equation. On the graph we made x=0 so we need to do the same to the written equation,

x(x-24)=y

0(0-24)=y

0+24/2=12

This means that

$f_12=12(24-12)$

=12(12)

=144

Week 5- Pre Calc 11

October 18, 2017 katelynw2015

This week we started a brand new unit, Factoring polynomials. I’m very happy we stared this unit because this was one of my favourite units to do last year in math 10. We spent t most of the day on Friday when we started the unit doing review. Once I did the first question everything came back to me. In my opinion the easiest factoring to do is when you have perfect square binomials like $x^2-100$ All you need to do is square root both numbers and put them in brackets. Example: $x^2-100$

$(x-10)(x+10)$

i got this answer because I put the square root of $x^2$ (x) at the beginning of each bracket. I then took the square root of 100 which is (10) and I put that at the end of each bracket. $x^2-100$ has a negative sign, that means that one of the 10 will be positive and the other one will be a negative becasue 10x(-10)=-100

When you are factoring trinomials like $x^2+7x+12$ This trinomial is an easy trinomial because it has $larex x^2 at the front$ In order Govett solve this trinomial you need to find 2 numbers that multiply to 12amd add to 7. In this case we would use the numbers 3 and 4 because 3×4=12 and 3+4=7. These are the steps I take to get the answer

$x^2+7x+12$ > we start with the original equation

&$atex x^2+3x+4x+12$ > we take our 2 numbers that multiply to 12 and add to 7 and we put them into our equation in replace of the 7 in order to expand

$x(x+3) 4(x+3)$ > we the night take the common factor out of each equation and put whatever is left over into brackets, in the step we should get the same numbers in both the bracket, I got (x+3)

$(x-3)(x+4)$ > the 2 brackets turn into one and you take the common factor from each equation and put them into a bracket (x+4)

Week 4-Pre Calc

October 5, 2017 katelynw2015

This week was filled with many new and challenging lessons. We went over Absolute Values, Roots and Radicals, Adding and subtracting Radicals, Multiplying and dividing Radicals, and solving Radical equations. From all these lessons the one I found the most challenging was Multiplying and dividing Radicals.

Generally the idea is to:

1. Multiply coefficients

2. Multiply radicands

3. Simplify

one questin that I struggled with INV the beginning of learning multiplication was

$2\sqrt{5}(3\sqrt{45}-8\sqrt{5}+\sqrt{20})$

I have to admit, when I first saw the question I had no idea where to start.

I soon learned that you need to multiple the Radical that’s on the outside of the bracket ( $2\sqrt{5}$ and multiply it with the Radicals inside the bracket.

after this step is complete you should have: $6\sqrt{5×45}-16\sqrt{5×5}+2(10)$

From the last equation all you need to do is solve everything inside the square root sign so you will end up with: 6(15)-16(5)+2(10)

Then all you need to do for the rest of the equation is solve so you should get:

90-80+20

=30

This was one of the first equations that we learned when started our multiply and dividing Radicals lesson. At the start it really confused me and looked very intimmidating, now when I see these types of questions I have no worries becasue I know how to solve them.