Consulting Mathematician

What did the mathematician say to his wife on Valentine's day?

Hello students, I'd like to quickly go over factorials as they will later on become important in your algebra 2 course.

To put it simply, a factorial is a number multiplied by decreasing consecutive integers.

We use ! to denote factorials.

FOR EXAMPLE: 5! (5 FACTORIAL) = 5 x 4 x 3 x 2 x 1

Hi students, today I'd like to go over "The Chain of Reasoning" concept. A reason this is important because it plays into a concept called deductive structure. The Chain of Reasoning is essentially a starting point implying many other things to eventually imply the last thing.

FOR EXAMPLE: a implies b, b implies c, c implies d. The chain of reasoning would go like so: A > b > c > d

In theory, if A (starting point) goes through a series of implications to get to D (ending point) it would be correct to assume that A > D since that is your ending point and it follows a LOGICAL "Chain of Reasoning"

Hey, students! Today is just a quick overview on SOH CAH TOA.

In geometry, we have three elements. Sine, cosine, and tangent. In order to remember these we have SOH CAH TOA.

Break down of "SOH CAH TOA" 1. SOH   » To break down this, we can see the "S" in "SOH" is sine. "O" is opposite, and "H" is hypotenuse. You can visualize it this way. Sine = opposite/hypotenuse

2. CAH   » To break down this, we can see the "C" in "CAH" is cosine. "A" is adjacent, and "H" is hypotenuse. You can visualize it this way. Cosine = adjacent/hypotenuse

Former middle school & high school mathematics teacher (Pre-Algebra, Algebra 1, etc..)

Bachelor’s degree in general mathematics, Master’s degree in education with a focus on science (specifically biology)

  - if you or a child needs assistance in *Pre-Algebra* , *Algebra 1* , or  *Biology* please inquire within.

Students, midpoint is crucial to remember throughout your mathematical school career! Please ensure you know this before entering the Algebra 1 course, or if you're already in the course, LEARN IT!

Remember: m = (x1 + x2/2) , (y1 + y2/2)

I understand many out there in the tumblr community are learning the principles of advanced mathematics, however some are not!

One topic within the Massachusetts mathematics curriculum framework is percents! The way mathematics teachers teach percents is by teaching students the percent proportion! It’s very simple, it goes like so:

x/100 = is/of. In mathematical terminology, this says: “X over 100 is equal to ‘is’ over ‘of’”

An example of where this could be used is here: 350 students out of 500 participate in the ski & snowboard club. What percent of students participate?

You’d set up the proportion like so:

X/100 = 350/500 (because there is 350 students participating out of 500 in total.) After setting this up, CROSS MULTIPLY! After doing so you get: 500x = 35,000 (from what you’ve learned earlier in the year with isolating variables, divide!) Divide the whole equation by 500, isolating “x” getting you: x = 70.

Having trouble determining whether you can factor a trinomial or not? Simply use the discriminant! (Highlighted above in RED) Simply plug in the values from your quadratic and if your solution is a perfect square (4, 9, 16, 25, 36, 49, etc...) then it CAN be factored!