# Week 18- Final

My top 5 in Pre-cal 11 Arithmetic sequence and series I  enjoyed how I learned there are many other different ways to find the total of an amount or find the next amount of the sequence. Trigonometry In this unit, I enjoyed how I expand the learning of SOH CAH TOA. Using Sin law, or Cos law made me think whether to use one of them. Absolute Value Using the…

# Week 17- Cos Law

This week, I have learned how to find the missing angle or missing length by using cos law. There are 2 ways to use the cos law. To find the missing angle To find the missing lenght To find the missing angle, we use : cosC= To find the missing length, we use : cos C Let’s try an example We know that angle C is 37, and we are…

# Week 16 – Applications of rational equations

This week, there was only 1 chapter that we have learned, and that is Applications of rational equations . There are many tricks in word problems. Ex: Joe is able to drink a whole bottle of water in 5 days, but when Joe and Franc drink it together, they can finish in 2 days. How many days will it take Franc to finish the whole bottle. In this word problem, you…

# Week 15- Adding and Subtracting of Rational Expression

This week, I have learned how to add and subtract rational expression. First, as it is similar to fractions, you must make the denominator the same Second, we multiply the top number with the opposite denominator. In this picture, since it has the same denominator, you can add or subtract right away. Finally, you simplify. If you see something that are the same, you can cross them out to get…

# Week 14- Quivalent Rational Expressions

This week, I have learned how to rationalize expressions (quivalent). In the example, we have x+4 and (x-3)x(+4) We first want to divide each sides by x+4 because they are both common. As x+4 / x+4 is 1 the top is 1 and there is x-3 left. Let’s try something harder Now we have a harder example. First we want to take out commons. and 2x, x+4. When we cross…

# Week 13- Finding Asymptotes

This week, I have learned how to find the Asymptotes from a graph of linear. I was very surprised that it was very simple to find. For example on the graph above, x=0 and y=1 This is simple to find since you need to find the gaps between both of them. It is very interesting since I have never seen this kind of graph in my life.

# Week 12 – Graphing absolute value

This week, I have learned how to graph absolute values. The difference between last week and this unit, There is a lumps everywhere.   On the graph, you can see there is a lump in the middle. This is because of absolute value. when you add absolute value signs, the answer can’t be negative. As a result, there is a lump in the middle which is the new vertex. This also…

# Week 11- Graphing Inequalities

This week, I have learned how to graph inequalities. It is very similar to graph linear graph; however, the difference is that you color.   Let’s see this example. It has the same line as linear graphing, however, we can see that there is a shaded area. It is shaded because it proves the equation that all of the shaded part is correct. The equation is : y<2x-8 We can…

# Week 10- Math mid term

This week, since there is a mid term, we had time to review our preview units. There was several things that I have forgotten from previous units. As a result, I will now explain the things that I have forgot. What does D and R stand for for Arithmetic and Geometric Sequence. D is for the difference between 2 numbers and R is the ratio between 2 numbers. How to…

# Week 9- Finding the x intercept (Zeros, Roots)

This week, I have learned how to find the x intercept from a quadratic formula. At the beginning, I was very surprised since the step it took was very simple and understandable. From y= to y= (x+2)(x+6), this was using factoring!!! Since to find x intercept needed factoring, it was very easy. Let’s begin. As I mentioned before, it is factoring. The equation, y=a(x-x1)(x-x2), x1 is your first x intercept…