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Desmos Art Functions Card 2019

https://www.desmos.com/calculator/qw7opprvc5

Going into this project I knew it would be very challenging and time-consuming. I didn’t have a lot of experience using Desmos, but now I feel a lot more confident in my understanding of using functions and how I can translate them on the graph, I’m glad I made the choice to do the project. When I first saw that we needed to use the six types of functions we’ve learned in class I was a bit overwhelmed because I had no clue how I was going to incorporate a trigonometric and logarithmic one. I took it step by step and focused on one part at a time starting with the snowman. A challenge I faced throughout it was when I started graphing the word ‘happy’, I was halfway through and I thought I saved it, but it erased and it was frustrating. I wasn’t really satisfied with how it looked anyways and made it into bubble letters instead. Another one was domains and ranges, I’ve struggled a lot with these in class, so I was having a hard time with them, but half-way through the project I started being able to figure it out faster. It was tough to make sure none of the functions crossed over each other and everything lined up perfectly. I had already graphed the snowman and the words ‘happy holidays’ and I still had no trig function, so I decided I would do the Christmas tree out of one and I’m really happy how that part turned out. A strategy I used was to duplicate the functions then change the transformations. This assignment helped me learn more about functions because I now have a better understanding of how I can manipulate a function by translations and stretches. As well as seeing it laid out as a picture showed me all the different ways we can use functions which was interesting to me.

 

Week 17 – Precalc 11

This week in pre-calculus we started our unit on trigonometry. We learned about Sine Law, it’s an equation on how to find the sides and the angles in a triangle all put into one instead of having to use separate equations to solve. If we’re solving for a side of the triangle we’ll use the ratio \frac {a}{sinA} = \frac {b}{sinB} = \frac {c}{sinC} .

If we want to solve for the angle then we reciprocate the ratio and it’ll be \frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c} .

To solve for side “a” then we’ll use the first equation.

ex/ \frac{a}{sin73}= \frac{12}{sin44}

once we rearrange and cross multiply we’ll get

a= \frac{sin(73)-12}{sin44} = 16.52

 

Week 16 – PreCalc 11

This week we learned about rational equations which are different from the expressions we have been doing, because now we need to solve for the variable. Two ways to do this is by cross multiplying or by multiplying by the common denominator.

Here is an example of cross multiplying to solve for the variable:

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