We learnt the basics of trigonometry. Finding the missing sides and angles through SOH CAH TOA. Trigonometry was introduced to us this year which I found difficult at first as there is so many functions and an acronym to remember but once I got the hang of it I found it very easy.
In this lesson of polynomials we learned how to FOIL. Its a method used when multiplying using the distributive property that is very easy and the way you write it out makes it very easy to understand when looking at it rather than trying to do it in your head.
In our seventh lesson of measurement we learned how to find the surface area and volume of a rectangular based pyramid. its a long process and you have to make sure that your formulas and steps are correct in order to receive the correct answer. I like to write out everything i do. I like to draw the shape of the face that I am trying to calculate the area of. This helps to keep track of everything i do and makes it easier to visually see as well as keeping it neat and tidy.
- First you have to find the two slant heights of the pyramid. A rectangular based pyramid has two slant heights because the base side lengths are not the same. You find the slant heights by using pythagorean theorem on each triangular face.
- Once you find the two slant heights, you find the area of each triangular face. Then you add those to the base area. (Make sure to put the coefficient 2 in front of each triangular face’s area. You do this because it tells you that two of the four triangular faces have the same area.)
- You add the each face by writing out how to get the area of each triangular face and then the area of the base. You write them all out side by side and simplify where you can. Lastly you multiply the numbers left after you have simplified.
- The number that is left is the surface area of the rectangular prism.
I know this sounds hard and has a lot of steps, but I hope this example will make it easier to understand.
- To find volume of a rectangular based pyramid you multiply 1/3 by the area of the base by the height of the pyramid.
- You should already have the area of the base from finding the surface area, so we just use that to easily find the volume. (You should be able to plug in the whole equation on your calculator.)
Here is an example using the same dimensions that I used for finding the surface area above.
The measurement unit for me was a little difficult as there us so many units to convert and its a long process going from a bigger unit to smaller ones or switching metric to imperial or vice-versa. I found this unit very easy to make a little mistake on. the imperial system in mainly used in the US but we still use certain measurements like when we when we use our height or weight.
On the fourth week of math I missed a lesson and this one was it, peers in my class taught it to me so I decided to use this lesson in my blog posts. When first explained to me I didn’t really understand until I saw the exponent on paper but knowing it as flower power helped me remember where the power and the root go.
During the unit on exponents I learned that when dividing a fraction with a negative exponent, you must flip the fraction making the exponent positive.
This week in math I learned how to turn entire radicals into mixed radicals and vice-versa. The method I used can also be used for cube roots, fourth roots, fifth roots and so on..
Here is how to simplify the entire radical:
Alternate method for finding the GCF/LCM: the ladder method.