Transformations of functions continued…
Posted by Reversearp
Hello all!!
Today we started by continuing our discussion on transformations of functions. The first thing we did was take data about the fear of flying and tried to find an equation that related median age with the percentage in the age group that have a fear of flying. We first plotted the data on our calculators and identified the curve. We then tried to find if there was a dilation or translation that made this particular curve straight (linear). To be sure of the results, we ran linear regression on our calculators. We found that squaring the X values leads to a different type of translation. One case was sq.root of Y; Where if f(x) is the original data and the square root fonction is g(x), then the transformed function mx+b, is equal to g(f(x)). So, we took the original Y values and transformed them according to g(x). (G o F) or (G of F) i.e We took the composition of two functions. We were told to start the reading for the next section and review the information we learned today. Enjoy your weekends!
Discuss and Continue 1-3
Posted by Reversearp
We had a five minute quiz to start off our day. After the quiz, we gave presentations on our claims. After the presentations we worked through any problems we had in this section and did not quite get to the next section. We watched a clip on wikipedia to end the class.
Absolute Value
Posted by Reversearp
Today we looked at a transformation that took the absolute value of the y values. What would happen if we moved the absolute value inside of the parentheses and took the absolute value of the x values? Hmmm…
technorati tags:precalculus, absolute-value, transformations, functions
Transformations continued..
Posted by Reversearp
We began the class today by having volunteers use the smartboard to go over yesterdays’ worksheet. Today is an opposite version of the same information, where they are give you the graph and ask you for the function. First we were taught notation and discussed the domain of the functions on the worksheet. EX) D:{R} (which is for all real #’s) etc. NOTE: Pay attention to square roots and denominators! Before we left we recieved a worksheet, Exploration 1-3c: Transformations from Graphs. We worked together in our groups to finish the problems and displayed them on the smartboard. Tonight we are to look at section 1-3 and the problems. There are 20 problems for tomorrows homework, the claims are on numbers 6 and 11. Have a Great Day!!!!
Transformations Begun
Posted by Reversearp
We started today with presentations of claims for last nights’ homework. After the homework, we were shown how to use Winplot to help you with the homework. Our first student summary is on WIKI already, be sure to check it out! Before we started on section 1-3, we got a brief overview of what weve learned. We now want to get into translations and dilations of graphs. This is a concept that will take us through the next few sections. There was a worksheet passed out for class work called Exploration 1-3a:Translations and Dilations, Numerically. We worked on the worksheet with our groups for the rest of the class. Enjoy the rest of your day!
Monday
Posted by Reversearp
We started by going over the worksheet we started on Friday. After, we caught up on more technology with the smartboard. We were introduced to Winplot and Math Type, Very cool! The class work was a worksheet and we were assigned problems to claim next time. Enjoy your day!
Parade day!
Posted by Reversearp
We started today with finishing the information on delicious. After, we discussed the portfolio in detail. We did a little work with partners on a worksheet for section 2. What was not finished was left for homework. Have a fun and safe weekend!
Credibility
Posted by Reversearp
Wednesday, October 4th is our first Math Meet of the year and it is at West Allis Hale. The bus will leave from Whitnall about 2:45 and we will be back at Whitnall by 5:30.
I need at least 8 people but can take as many as want to go. If you’ve never gone to a math meet there are three small problem sets that you work out individually and then a larger one as a team. The topics cover everything from Algebra to Precalculus. You are competing for the best score as an individual and also as a team. Top scoring individuals reveive medals and top scoring teams receive trophies. Not only that but you’ll probably find it fun. You are usually in a room with two other schools so it gives you a chance to meet new folks as well.
Of course these meets can earn you credibility points towards late work or other issues. Please let me know if you’d like to attend.
It’s Thursday!!!
Posted by Reversearp
We started with graphs. We had to identify if it was a function and give the details if it is a function. This was a compliment to the section on “kinds of functions”. After, we identified the learning targets that we have met. Lastly, we finished with the expectaions in the class, including journals. Also, we talked about the WIKI. Have a great day!
First day of homework presentations.
Posted by Reversearp
We started the class with the presentations of the claims on homework. We saw presentations on Chapter1 Section1 (1-1). The presentations were on the Archery problem and Mortgage Payment problem. We then just went over any questions on the other problems. Then we took a brief look at some the technology with the smart board. We went over the rest of the requirements/expectations for the course, including viewing some portfolios from the previous years. We also were introduced to this web site. Hello all!!!!!!!!!!!!!! There was no new assignment for today. The assignment was to read the next section. Have a great day!
