Math 12- Tuesday, February 10, 2009

So far in mathematics 12, we have completed Investigation 1 and questions 1, 2, 5 and 6 in the text. This investigation asks you to explore nmber patterns and to develop sequences. We can find the sequence of differences by subtracting adjacent terms and use this difference to identify linear or other types of functions.

Some patterns that you may have noticed include:

  • the common difference of your sequence is equal to the slope when you graph the data (if the common difference is 6, your equation may look like tn=6n)
  • the first sequence of difference resulted in a common difference (the difference between the terms were the same) –> this tells us it is a linear function
  • if you find the common difference between each term, you can then just figure out what constant needs to be added each time to find your equation y=mx+b

Some of the terms that we reviewed included:

  • independent variable: is “manipulated” and can cause change in something else (ex. increasing the hours you work will change the amount that you are paid) – graphed on the x axis
  • dependent variable: is dependent on something; changes in relationship to something (ex. the wage you are paid changes/depends on the hours you work)- graphed on the y axis
  • domain: refers to the possible x values for your function
  • range: refers to the possible y values for your function

For homework, page 4-6 questions #8, 10, 13, 14 and 15 were assigned. The due date for this homework is in class tomorrow (Wednesday).

Advertisements

Leave a comment

Filed under Grade 12 Mathematics

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s