FC: PORTFOLIO | ACT Skills 16-30 By:Eliot Ness-Devarona
2: Skill #16 Functions | When you see"f(x)" this just means whatever is in the parenthesis is what "x" equals. F(x) really just means "y=" Example: f(2)=2(x)+4(x) 2(2)+4(2)
4: Skill #17 Midpoint and Distance | The formula for The midpoint between two points on a graph is (x+x)(y+y) all over 2 The formula for distance is the square root of (x-x)2+(y-y)2 Example: midpoint of (2,5)(7,3) (2+7)(5+3) all over 2
6: Skill #18 Make it Real | This skill is all about using the answers they give you. If it is a problem that seems to have no solution then use the answers. Example: If c=-2b-2(2e-b) what happens to the value of c when b and e are both increased by 2?
8: Skill #19 Perimeter, Area, and Volume | The formula for perimeter is the sum of all sides.The Area formula is (length)(width) and the formula for volume is (length)(width)(height). Example: what is the area of a rectangle with sides 15 and 10 (15)(10)=150
10: Skill #20 Donuts | To find the area of a shaded area outside of another figure such as a circle or rectangle you have to subtract the inside area from the overall area. Example:What is the area of the outside circle if the overall radius is 8 but the inside circle is 4?
12: Skill #21 Ratios,Porportions, and cross-multiplication | A ratio simply expresses a relationship between two numbers. A porportion is simply two equal ratios, and to find a missing number in a porportion then you use cross-multiplication. Example: 2:7 is a ratio 5:10, 10:20 is a porportion
14: Skill #22 Matrices | A matrix is a set of numbers that are put into rows and columns, and these rows and columns can vary depending on how many numbers there are. Thses matrices can be multiplied, added, subtracted, and divided. Example: 2 3 4 5 4 4 6 8
16: This skill ia saying if a problem is describing a diagram then you should draw that diagram. Also is they already have a diagram then make sure it is to scale and if not then draw another one to scale. Example: If the question says that on a map every inch is 100 miles and its really every 2 inches then re-draw a map that for every 100 miles is 1 inch. | Skill #23 Art Class
18: Skill #24 Mighty Pythagoras | This skill is saying is a side of a triangle is missing a side then use the pythagorem theorem to solve the missing side, a*2+b*2=c*2 Example: The two sides of a triangle are 5 and 7, find the third. 5*2+7*2=C*2
20: Skill #25 Special Right triangles | This skill is saying when the pythagorem theorem is not enough then use the "special right triangles". When the angles of the triangle is 30,60,90 then the sides x, xsquare root of 3, and 2x. If the angles are 45,45,90 then the sides are x,x,x square root of 2
22: Skill #26 Dr.Evil and mini me | This skill is saying that similar triangles are two triangles where one is the shrinky version of the other. Since on is shrunken version of the other then they are proportional.
24: Skill #27 Is means equals | This skill is saying that word problems have certain words that will give away what you are supposed to be doing. Example: "sum"=add "less"=Subtract
26: Skill #28 Arithmatic word | This skill is very close to skill # 27. It is pretty much saying that word problems can be easy if you find the certain words that will give you hints in solving the problem.
28: Skill # 29 Just Do It | This skill is saying that if you can factor, foil,simplify, or reduced then do it. SOme students look at a question and say where do I start? Just use your basic math functions to start off.
30: Skill #30 Beyond you dear aunt sally | This skill explains how to use exponents. When multiplying matching bases, add exponents.When dividing matching bases, Subtract exponents. When it is a power to power then multiply exponents.