This week in math 10 we learned how to find missing angles, which was differs from last week where we had to find the opposite, missing side lengths. Here is a short video I made explaining how to find a missing angle when only given 2 side lengths.
Week 7 Math 10
The unit we started this week was trigonometry. The main idea of this unit is to find side lengths and angles of right triangles when just given either the reference angle and or side lengths. The thing that was most interesting to me was finding missing side lengths of right angle triangles. When doing these questions the first 2 thing you want to do are label the triangle and have SOH CAH TOA written down as a referance. The next this is you need to figure out what one out of sin, cos, and tan uses the letters you need. In this case we are looking for what one used A and H, this would be CAH so therefor we are using cos.The next step is to just write your equation and solve,making sure to isolate the variable in this case its a. In the question I chose to show the variable is on the bottom, which means we have to reciprocate the fraction, therefor we have to do that to the other side also. Putting the cos and 39 degrees over one and then flipping it. Because what you do to one side you have to do to the other. (use the photos below to understand better)
Week 6 Math 10
This week I learned how to find a surface area and volume of a bunch of new shapes. But, the most interesting to me was the surface area and volume of a sphere. the formula is different than any other shapes. The cool thing is that the diameter is equal to the diameter or the radius x2, because it is the same all the way around. If you roll it than it says the same. Another thing to add onto this is that the shape of a hemisphere is equal to half of a sphere, the word hemi meaning half. But when finding the surface area of a hemisphere you cannot just divide it by two, you actually have to add the area of the base to the final answer.
Week 5 Math 10
This week was one of the most challenging weeks of math ten so far. Full of new concepts and easy to fall behind. But it was also a big time for learning, completely new things. The most interesting things I learned this week was conversions. There are 2 ways to do this, either with the number line or multiplying the fractions. First, the number line. The sentence I use to remember all of the symbols is (Good Man king henry doesn’t usually drink chocolate milk usually never). All of these letters stand for a prefix, for example k stands for kilo and c stands for centi. The k,h,da,u,d,c,m all are just one apart on the number line and the 2 on either side, G M and n u, are 3 apart. You can use this just like you would a number line. Say you want to find how many cm are in a km. you want to only look at the first letter, the prefix. So you start at the first one, k, and then count how many spaces till you arrive at c, making sure to remember what way you are going, in this case it would be to the right. So you are moving the decimal 5 spaces to the right.
* something to note* if a letter is alone it starts at U because it has no prefix so it it just a unit // example 1000ml to L move on the number line from m to U.
The second way to do conversions is my multiplying fractions. The main idea for this is to get cancel out the units. For example, your trying to convert 3ft and 11 inches to inches. First you need to establish what you know. I know that there are 12inches in a foot. So you add it into a fraction, putting the ft on opposite sides of the fraction so they cancel out leaving you with only inches. Don’t forget to add the remaining 11 inches at the end!
