Week 16 in PreCalc 11 – CAST Rule

“Hey class, can you guys believe we only have 2 more weeks left of Pre-Calc 11? For some of you this may even be your last Math class at Riverside”, says Ms. Burton. “And as Ms. Burton says this, the only thing I can think of is my Grade 12 year, where I will have both Pre-Calc 12, and Calculus 12”. Regardless of this, I must reflect on what I learned this week, as there will soon be a test on Trigonometry. 

Furthermore, this past week I was taught about different concepts which are slightly new to me, and I will need to know the meaning of, for the next test. In addition, this week I learned about the CAST rule

As I started to learn about the “Grade 11 version” of trigonometry, we were first shown some elements which are often used with graphs, and are helpful to visualize different things. Firstly, Ms. Burton taught us to use something which is called the “CAST” rule. This stands for “All Students Take Calculus”, despite it starting with a “C”, and there is an explanation for this. When we look at a graph, we read the Quadrants of the graph starting with the “Top Right”. This Quadrant is known as Quadrant 1. From there, we go to the “Top left” which is Quadrant 2, then “Bottom Left” (Q3), and lastly Quadrant 4, in the bottom right. With this, we can now see why the “CAST rule” is “All Students Take Calculus”.

Now, with this knowledge, we are able to apply it to what the rule means, and be able to easily visualize which letters, go with which quadrants. Additionally, the CAST rule is very helpful, as it shows us where each “Trig” ratio is positive. This means the “A”, means all trig ratios are positive in that quadrant. It would also mean where the “S” is, only Sine is positive, and so on. This rule has been very helpful for me lately, as it helps me visualize and predict if a rotational angle will have a positive or negative Cosine ratio, for example. 

In conclusion, this week in Pre-Calc 11 I have learned about a very helpful rule and tool for me to “make life easier” during practice questions and tests, and I can say right now I will definitely be using the CAST rule often. 

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