Graphs of Trigonometric Functions

In this station, you had to show the graph of sin, cosine and tangent.

This is basically it.

Online Investigation

In this station, I chose to look at "Fire Away" and "Fascinating Facts About Math"

From these, I learned how people use trig to find the trajectory of a missile (or a missile like object) and some really cool facts, like that they use trig in planes so that the planes know where to go. 

Today in class, we learned how to apply the Change of Base Formula of logarithms. It was so very fun. We also learned how to solve logarithmic and exponential equations when bases are different. That was a blast as well. 

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Here is some of the easier stuff first…

log89= log 9/log 8

When you type that into the calculator you put in…

log(9) / log(8) 

Make sure you have the parenthesis! 

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Now the harder stuff…

2^4x-1 = 3^1-x

1) Bring the parenthesis down in front

 

2) Apply (log) to each of the numbers

It should look like this…

(4x-1)(log2)=(1-x)(log3)

3) Next, Distribute

4x(log2) - 1(log2) = 1(log3) -x(log3)

4) Then, combine the like terms

4x(log2) + x(log3) = log3 + log2

5) After that, factor out the x

x (4log2 + log3) = log3 + log2

6) Divide to get the x by itself (use calculator)

x = log3 + log2 / 4log2 + log3

7) The answer should be x= .977!

http://logarithmicandexponential.weebly.com/math-memes.html

Monday Math (Monday April, 4)

Today in class we practiced the properties and laws of logarithms.  We did a warmup with all examples of condensing and expanding logarithms.  We then did another worksheet on expanding logarithms before we went on to work on IXL.

We need to have IXL's R8, R9, and R10 up to a 70 and R11 up a 90 before Fridays test.  

This is a question on R11.  This log needs to be expanded using the quotient and power law.
8logx y - logxW would be the answer.