When factoring trinomials you can use multiple methods like the inspection method, but this method I’m going to show you is using algebra tiles, which helps for those who are more visual learners. It can be difficult sometimes to figure out how to sort the tiles so they make a perfect square, but with practice, and trial and error you will get better at figuring out how to assort them quicker. First you need to know what each tile is equal to so in my diagram below I have shown you which one is equal to which. To factor a trinomial you are basically just breaking down the equation, with this method you are given the tiles but it’s up to you to sort them properly.
![](http://myriverside.sd43.bc.ca/alexandras2015/files/2017/04/IMG_4937-2coydnw-e1493100890149-225x300.jpg)
What colony did you represent? Newfoundland
What did you feel were the biggest or most important issues for your colony? Some of the bigger issues we came across in our colony were things based on our location, a lot of things weren’t accessible to us easily on the mainland by things like railway which would lead us try and bargain for alternatives, like a ferry system. It also didn’t help that our economy was in great debt, which left little room for budging in the taxes area.
What strategy did your group come up with to deal with those issues? We just brainstormed ideas that seem feasible and realistic, I think also having a lot of the same deals as the other island colonies really helped.
Did you have to make any concessions during the negotiation phase? If so, what agreements or concessions did you come up with? We just made deals that we liked, the only thing really that got effected during the negotiation phase was the percentages.
Were you happy with the outcome of the confederation debates? Yes I am, I think a lot of the deals worked out in our favour.
What is one thing you wish had happened differently with the final results and why? I don’t think I would change anything I thought our group got a lot of fair deals, if I really needed to choose one thing though, I would possibly get the percentages to be even lower .
Last week I explained how to multiply binomials, but now we will be multiplying with trinomials, with a larger amount of terms this can start to become confusing using FOIL, so I will show you how to break it down step by step. This has a few steps that you have to follow, however if you want to get the right answer its best to follow them at first, at least until you get the hang of the shortcuts. I have given you an example of an equation down below and I have gone through what all the steps in the photo. First you will FOIL but on each side of the subtraction side, making sure all the numbers get factored with each other once, next you will you will combine like terms then you will multiply by the original co-efficient and the combine like terms again (terms with the same variables) then you will combine both halves of the equation.
4(a-4)(
-3a-6)-(4a-3)(4a+3)
![](http://myriverside.sd43.bc.ca/alexandras2015/files/2017/04/IMG_4885-2-1ob11rg-300x225.jpg)
This week week we started a new chapter; Polynomials. Polynomials are monomial or a sum or difference of monomials, they consist of terms normally separated by + or – signs. The hardest part about polynomials is probably remembering to combine like terms, like terms are terms that share the same exponents, and same variables. Down below I have showed you some examples of like terms, and in the photo you can see them in an equation.
Ex.
–
this would come out to be ![26a^2 26a^2](http://s0.wp.com/latex.php?latex=26a%5E2&bg=ffffff&fg=000000&s=0)
When multiplying Binomials you use F(first term in each bracket) O(outside terms) I(inside terms) L(last term in each bracket)
![](http://myriverside.sd43.bc.ca/alexandras2015/files/2017/04/IMG_4864-1huaq7w-300x225.jpg)
This week brought us back to a thing as simple as volume and area, but only with a larger formula. The only difficult part about this is remembering the formulas, but other than that you just have to plug in your measurements. When referring to a pyramid we are referring to a right pyramid. The formulas we use for a pyramid is SA(Pyramid)= Area Base + Area of Triangular Faces -V(Pyramid)= 1/3 Abase(h)- SA(Cone)=πr2 + πr – V(Cone)=1/3πr2h
And when you are plugging things into these formulas make sure you use your pie button rather then using 3.14, because otherwise your answer may be off.
![](http://myriverside.sd43.bc.ca/alexandras2015/files/2017/04/FullSizeRender-11-2e8mxtr-e1491372903796-300x154.jpg)
This week we learned a lot of different methods, as their is a couple different systems that you can convert to and when converting within there is also a couple different methods too. I chose to show you a method of conversions within the metric system because the units are related to each other by factors of ten this allows us to use a method with a number line. It can be difficult to know when to use which methods and how to know when to use what method but the good thing about using the metric system is that we use it in our day to day life here in Canada so if the unit isn’t recognizable you can automatically rule out the fact that it will be a conversion within a single system, instead you will have to use the exact units (not normally whole numbers) to convert to the imperial system. Down below I have shown you how to use one method- the number line to convert from unit to another within the metric system.
![](http://myriverside.sd43.bc.ca/alexandras2015/files/2017/04/FullSizeRender-10-2eyulg1-300x179.jpg)
In order to problem solve using these rations we first need to know when, and how to use trigonometry properly. Three simple “words” to remember when to use one of the three functions (sin,cos,tan) is SOH CAH TOA which can be remember like this S(in, Opposite, Hypotenuse) C(os, Adjacent, Hypotenuse) T(an, Opposite, Adjacent). Below I have given an example of a simple problem, but with one of the less straightforward calculator steps (finding an angle). It isn’t a word problem but its the same thing when you look at the overall picture a word problem just gives you the information in a paragraph you have to find it yourself and plug it in, same thing here but you are given a filled out triangle: its basically just one step after the word problem (you would set this up).
![](http://myriverside.sd43.bc.ca/alexandras2015/files/2017/04/FullSizeRender-9-1u67p19-176x300.jpg)