This Week in math we continued to learn about trigonometry, and we were introduced to a new acronym to help solve right-angled triangles. SOH CAH TOA is a great way to figure out which equation to use to solve all of the different parts on a triangle. I like to write SOH CAH TOA on the top of questions so I can organize my thinking and make sure I am using the right equation. Underlining the letters I need and have is the strategy I use. For me remembering what goes into each type ( Sine, Cosine Tangent) would lead to high chances of mixing them up. After figuring out which part of the acronym you need for the question algebra will lead you to the correct answer.
This week in math we started trigonometry, and before this I knew nothing about it. One of the most important things, in my opinion, is making sure that the opposite, hypotenuse and adjacent sides are labelled. To start off you have to locate the reference angle ( which is never the right angle). After locating the reference angle I like to draw an arrow to the opposite side and label with an “O”. Next, I will label the adjacent side which is next to the reference angle, but not the longest side ( labeling this with an “A”) Finally I will make sure to label the hypotenuse with an “H”. Getting labels wrong will mess up your answer at the start, so I always want to make sure I get the correct labels.
This week in math we learned how to work with negative exponents. When working with negative exponents you have to turn them into fractions and use the reciprocal. For example, turns in to . Having a negative exponent can be hard to understand so you need to make them positive, and to do that you need to flip the fraction. If there is more than one base with a negative number they all still need to be switched to the bottom. Coefficients do not move. I like to flip the fractions after completing all of the other exponent laws because I find that easier and less complicated.
Example of negative exponents with using the reciprocal:
This week in math we learned about prime numbers. When doing prime factorization on larger numbers it can be harder to figure out what numbers are divisible by. Before learning this it would have been a lot of trial and error to find which numbers are can be divided. We learned simple strategies for numbers and it makes factor trees significantly easier. These are called Divisibility Rules
Number 2- # ends in 0,2,4,6,8
Number 3- Sum of the digits added and if that number is divisible by three, the large number will be
Number 4- Last two digits are divisible by 4 ( cut in half twice)
Number 5- Ends in 0 or 5
Number 6- Works the same as # 2,3
Number 8 – ( cut number in half three times) Use the last three numbers
Number 9- the sum of the digits divides by 9
Number 10- ends in 0
Number 25- When it ends in 00,25,5o,75