Solving Simultaneous Equations using the Classpad 330

There are a number of ways of finding where two lines intersect. Let's solve this example.

"Where do the equations y=x and y=-2x+3 intersect?"

One way to find the solution is to solve the two equations algebraically using simultaneous equations.

First open and clear the main work pane.



Press the blue Keyboard button and bring up the soft keyboard. Select the 2D tab.

You should be able to see a button with a bracket and two small boxes (circled below in red). Press it.

You should see the simultaneous equation template in the main pane.
(Update 1/6/2010: Press it twice to add a third equation line!)

Click on the first box and type y=x

Click on the box below it and type y=-2x+3

In the third box to the right of the vertical line type x,y (the variables we wish to solve).

Hit the exe button.

The answer (x=1, y=1) should appear.

Here is a link to other CAS calculator posts.

Classpad 330 and Normal Distribution

Normal distribution problems can be done quite simply on the Classpad 330, but the method seems a little weird.. perhaps I haven't found a menu yet, or completed an update.. but here's how I did it for the following problem.

"A packet of mince contains 500g of mince. Suppose the actual weight (x) of
these packets is normally distributed with a mean of 512 grams and a standard
deviation of 8 grams. What is the probability of picking a packet between 504
and 520g?"

Firstly open the main window and add the list editor from the toolbar.

Opening the list editor should make the Calc menu appear in the menubar at the top of the window.

Select Calc->Distribution. This will make a popup appear with some options

The Type dropdown needs to say Distribution.

The second dropdown should say Normal CD. After that is selected tap Next. A new dialog box will appear.

For our problem the lower bound is 504, the upper bound is 520, the standard deviation is 8 and the mean is 512. Tap Next when this has been entered. The answer will appear with a probability of 0.683

Tap the graph icon in the toolbar to view the distribution.

Viola!

Here is a link to other CAS calculator posts.

Middle school & end of year reflection

After a year of trying to establish rapport with middle school I think the obvious is as follows:
Without teaching upper school classes and being involved with NCOS, middle school teachers have disconnected from upper school requirements through no fault of their own.

Added to the traditional "it's an issue at primary level - but we have five years to rectify it" we also now have "it's an issue with middle school, how can we possibly fix it in two years".

Students wrapped in cotton wool, unable to connect success with working hard find senior school difficult.

Assessment changes and alteration to pedagogical methodology in middle school has reduced the rigor required for TEE subjects especially in those with little discipline at home.

Without a detailed syllabus, critical topics can be deferred to later years causing irreparable damage.

Responsibility for subject performance should be left in the hands of those that understand the subject area.

Graduation should not be automatic. Pastoral needs of the individual should not be placed above the academic needs of the student and group as a whole.

Students can be entertained and placed with friends to stay in school but when once the demands of TEE level education arrives, it gives students too little time to adjust to the requirements of real study. The adjustment needs to occur in year nine - especially for the gifted kids.

General observations from 2008:
Streaming in mathematics is required where more than four levels exist across a cohort.

Intervention time is limited to less than 1 minute per student in homogeneous classes greater than thirty and puts teachers at risk with the current defer intervention actions BMIS discipline policy. Intervention time is greatly increased in a streamed class as peer assistance, direct instruction and modelled lessons become more effective.

Collaborative lessons can work when consequences for non-performance are correctly administered (peer pressure is a fantastic tool in this case).

The most reward comes from success with students with the least demonstrated ability.

Any student (without a learning difficulty) can learn any topic given an adequate amount of time (Kevin Casey).

Male students are not getting the results in mathematics in line with their ability levels.

It is possible to make a difference. Bring on 2009.

Intuitive Teachers

I wonder if there is a connection between those that deal with a lot of people and their ability to be intuitive towards their needs. As teachers we need to be able to "read" students as many times their articulated response may not reflect their needs.

I've found that since teaching it is easier to read what people mean compared to what they say. Is this a common finding? Do occupations that deal with a lot of people on an ongoing basis develop the same ability? Does frequency of interaction hone the ability further? Is this a trait we should be looking for in new teachers in the same way we look for bedside manner in doctors?