For factoring and polynomials, Foil makes it easier because we use it in science as well.
First, Outside, inside, last
(5x – 5) (x+ 6)
5x^2 +30x – 35
This week in math 10 we worked with polynomials and expanding them. There are different methods you can use when multiplying binomials such as using the claw, area models and illustrating algebra tile diagrams. At first, I enjoyed using Algebra tile diagrams but now, I find the claw strategy much more efficient.
this week in math 10 I learned a trick to help me with Iscoceles triangles and the trick is when you have the triangle you have to “slice it in half” by drawing a line down the middle and it helps me because it helps determine a hypotenuse and the other sides
This week in math i learned about trigonometry, including Sine (Sin), Cosine (Cos), Tangent (Tan). SOH CAH TOA, is an easy trick to know which trig term to use to solve a missing side or angle of a right angled triangle and by knowing this I can now know how to get the missing degrees.
This week in math I learnt how to calculate the surface area and the volume of a sphere. All of these shapes have something in common however all of these shapes must have the same dimensions. with these relations make it easier to have a reference witch I find useful. shown below is all the relations I learnt this week
3 hemispheres = 1 cylinder
3 cones= 1 cylinder
2 cones= 1 sphere
1 cone + 1 sphere = 1 cylinder
1 cone = 1 hemisphere
this week in math 10 there were a few things that I learnt but the thing that should out the most to me was converting imperial into metric like 18,480 feet to miles.
in this conversion you will have to get 18,480 to miles you will do this by converting all this one by one like shown below.
x x x
after this step you will have to multiply all the tops together and then the bottom together
after this is done you will have to divide the two numbers then you will have your answer
this week I learned the multiplication rule for exponents and I also learned the 2 ways to solve problems that had multiple exponent rules. I picked the division first then power to a power because that’s the easiest order I find.