Praxis Math 5161 | Part 05 | Logarithms, Trigonometry & Probability | Kathleen Jasper

In this Praxis Math 5161 video, we work through logarithms, probability, and unit circles using trig functions.
Get the problems used in the video:
kathleenjasper.com/pages/yout...
Get the study Plan with all the video links to Khan Academy here: docs.google.com/document/d/1o...
Below are the resources mentioned in the video:
Properties of Logarithms: www.khanacademy.org/math/alge...
Trig functions:
calcworkshop.com/triangle-tri...
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[@aln3946]

log16/log 7 and ln16/ln7 would be change of base formula, which allows you to plug these values in the calculator since there's a function for common log and natural log (ln), not a critic or anything I love your attempt as a non math person, but you would write it has 2* sin 60 and 2* cos 60. The theta angle always goes after the trig identity. So sin (theta) etc.. That problem was a 30,60,90 triangle , so you can use the trick to find the sides.

[@KathleenJasperEdD]

Thank you so much for the feedback! I will pin your comment so people can see. Have a great day!

[@KathleenJasperEdD]

I realized we could use 30-60-90 after I filmed, edited and published. LOL. Oh well :)

[@aln3946]

@@KathleenJasperEdD Thank you for your commitment and your channel, we can all input feedback to share knowledge. I don't agree with rude people that critic, and best to ignore them. Thanks again!

[@sarahpanza3476]

Thank you so much for re-writing the trig I got confused by the notation

[@sarahpanza3476]

I just wanted to thank you for this video series because there is no way I would have passed the praxis without them!! thank you!!

[@KathleenJasperEdD]

It's our pleasure. Thank you for letting us know. And you did the work Well done!

[@janeawest8173]

These are great videos. Thank you so much for doing this. This helped tremendously!

[@KathleenJasperEdD]

My pleasure. Thank you for taking the time to watch. :)

[@sarahstevens3007]

I think this is the first video I've ever commented on :) I just finished the series and take my test tomorrow! You have helped tremendously and made things much easier for me. Thank you!!!

[@KathleenJasperEdD]

Awesome. So glad you found it helpful.

[@Dadadaaisy]

Just watched the entire playlist! Thank you I am a step closer to passing this test!

[@KathleenJasperEdD]

Awesome. We should have another on derivatives soon. Thanks for watching!

[@celestialsomebody8076]

This is awesome!!!!!! Saving my life here. Please get the derivative video up, I’ll literary pay for it. Khan is great but his videos make me fall asleep at this point!

[@KathleenJasperEdD]

Thank you so much. Derivatives are not my specialty. I am working on it, though. Thank you so much for watching.

[@simpsimps553]

My favorite series, thx

[@KathleenJasperEdD]

I am glad you like it because it is kicking my butt. I am learning a lot by doing it, though. Thanks for watching!

[@0xTRellyx0]

Pascal’s triangle is such a time saver. I had forgotten about that.

[@KathleenJasperEdD]

I know I love patterns.

[@JohnYuFitness]

For the polar coordinates example, some helpful formulas are x = r * cos(theta) and y = r * sin(theta) with theta as radians. These formulas come from the rectangular to polar conversion in which r^2 = x^2 + y^2, Pythagorean theorem, and arctan(y/x) = theta, since rectangular coordinates are the sides of a right triangle.

[@KathleenJasperEdD]

Thank you so much. Very helpful!

[@bcottam8926]

I love your videos! Thank you for making them. When will video 6 come out?

[@KathleenJasperEdD]

Thank you. Soon. I am working through derivatives now. I am hoping to post that video next week (May 14).

[@deepagajulapalli8369]

Hi Kathleen! Absolutely love your videos! They are so helpful! Will you be releasing Part 6 and continuing the series?

[@KathleenJasperEdD]

Thank you so much. Yes we are working on the last video. But this is not my content area, and that portion of the exam is really difficult for me. I think it’s important that I’m honest about that.

[@holly78248]

Hi Kathleen! I really loved your videos, thank you so much for sharing. :) Did part 06 ever make it out?

[@KathleenJasperEdD]

It is my pleasure, glad you enjoyed them. Part 6 is on hold for now, but I hope to get it out soon. Thanks for watching.

[@sarahpanza3476]

Please do a part 6 these videos are so helpful!

[@KathleenJasperEdD]

I am working on it, I promise!

[@mikemorris3196]

For the polar coordinates to rectangular coordinates problem...you CAN use the ratios for the 30-60-90 triangle...your hypotenuse is 2...the short leg (opposite the 30 degree angle) is half of the hypotenuse...and the long leg (opposite the 60 degree angle) is sqrt3 times the length of the short leg...which give you the correct answers.

[@KathleenJasperEdD]

Thank you!

[@angesmith2322]

Please may we have part 6! Been super helpful.

[@KathleenJasperEdD]

Working on it. I got buried in reading stuff. Thank you so much for watching.

[@angesmith2322]

Hi Kathleen, loving your videos, thank you! Question: do we hv to memorize formulae for double angle, addition, complementary identities etc in trig? In a level exam students are given formula list and just hv to know how to use them. Are we given any formulae in praxis?

[@KathleenJasperEdD]

Please see pages 23-25 of this document. This is what is provided to you on test day., www.ets.org/s/praxis/pdf/5161.pdf. Thanks for watching!

[@lorac0506]

Super helpful videos, thanks! I'm used to '2cos60' as proper notation, not '60cos2.'

[@donnacapriglione2310]

Any update on part 6? I'm taking the 5165 next Saturday and trying to learn calculus as best I can. Your videos helped immensely!

[@KathleenJasperEdD]

I apologize but part 6 has been delayed until later this year. Thanks for watching and glad I could help.

[@SheriShermanJohnstonMS]

I would like to see what you typed in your t184 as I did not get 1. it would be helpful for folks who are new to using the calculator.

[@aln3946]

I love your Channel, I'm taking the FTCE math 6-12. Any recommendations?

[@KathleenJasperEdD]

Thank you so much! This playlist is all we have for anything close to 5161. However, I recommend going to the ETS site and downloading the study resources (WORD) document. It is at the top of this page www.ets.org/praxis/prepare/materials/5161. In it are all the skills and Khan academy videos that go with each skill. Hope that helps and thank you for watching.

[@sooowavy]

I love your videos. Can you do a Part 6 and include more problems from the ETS Practice test? Can you also use to TI-84 PLUS CE calculator since this is the one that is provided in the assessment?

[@KathleenJasperEdD]

Thank you so much. Unfortunately, this is not my content area. This exam is super tough for me and I have yet to record a part 6. But I promise to work on it.

[@GangaSivakumar]

I cannt see part 6 videos anywhere. Athough I know its a series of 6 videos but somehow cannot get part 6 even though searched so much. I have the exam this week and your videos are just AMAZING. Please help. Thanks a lot.

[@KathleenJasperEdD]

I don't have part 6 yet. I know you guys want it, but this math is SUPER difficult for me and it takes me forever to film these videos. I have to learn the math then teach the math. Thank you for watching and I promise to work on it. Khan academy is a great resource for this exam too.

[@lemyul]

thanks! no part 6?

[@0xTRellyx0]

Might be helpful to note that log 7^x = xlog7 ... 7^x =16... take log or ln of both sides ... log 7^x = log 16 ... xlog7 = log 16 ...x= log16/log7 ... works exactly the same with natural log (ln).

[@KathleenJasperEdD]

Yes! Thank you :)

[@johnonduso100]

In question 5, the solution was correct but the configuration of the equations for x and y were a little off. The Cos or Sin precedes the angle and not the value of the radius

[@KathleenJasperEdD]

Thank you so much for your feedback.

[@1987jhose]

The way you input into the calculator is how you have it written, but the correct way to write it. rcos(theta) and rsin(theta). Thank you for these videos!!!

[@MrsMurray4]

Love these videos, I'm a bit confused on the 5th problem as when I use the online calculators (desmos or geogabra - which I searched online graphing) and I put in 60sin2 it gives me 54.xxxx vs 1 regardless of whether I put in (60sin)2 or *2 or no parenthesis......what am I doing wrong? if I put it in reverse I get a negative number (sin60 )= −0.304810621102 & of course multiplying that by 2 won't give me anything close to 1. It is probably something simple, but can you or someone help?

[@Uwek212]

For the polar coordinates, to convert them to rectangular coordinates, you can just use these formulas: x = r•cos(theta) y = r•sin(theta) This would be the quickest way. But your explanation is really great: you just derived the formulas to convert between polar and rectangular coordinates =)

[@KathleenJasperEdD]

Thank you so much! Feedback and suggestions for different methods really help people taking the exam. This also helps me. Thanks for taking the time to comment :)

[@ninaschiffer5820]

Will you have the derivatives video soon?

[@KathleenJasperEdD]

We are working on finishing out this series. Please check back periodically for when we release them. Thanks for watching.

[@ninaschiffer5820]

@@KathleenJasperEdD thank you! your videos are a life saver for me

[@eugeneopoku-mensah3433]

Hey, why don’t you just go ahead and stop saying “it’s not your content area”. Once you have the interest just go ahead with it. Do not worry about making errors cos errors make you better

[@1987jhose]

I like that she reiterates it. It helps people who are in the content area to be nice when she does not use the correct vocab. Regardless of making errors she is just being up front with the viewers. And I agree mistakes are how we learn.