Here is a video that shows the basics of a Quadratic Function. It reviews the vertex, axis of symmetry, zeros and how to calculate them.
This video goes through and explains how the values of a (or c in the video)change the original graph of y = x^2.
This next video reviews how q effects the graph.
This last one is on p.
Thursday, October 27, 2011
Blog Prompt: I'm seeing Purple.....
I'm seeing Purple... Purplemath that is.
We're learning about quadratic functions. You can find an excellent four page tutorial here. It is a little more indepth and gives more details then your worktext. The site is called Purplemath. It's really well done. It may even be worth spending some time there exploring.
BLOGGING PROMPT
Explore Purplemath website. Pick a topic that you have had difficulty with and see if you can find a tutorial that you find useful in explaining the concept. Post the link to the page and blog on how it helped the 'light turn on' for you.
Analyzing Quadratic Functions in Standard Form
Over the weekend you need to finish Checkpoint 1 on page 272 - 275 if you did not finish it in class on Friday. You also need to complete the Construct Understanding on page 276 and read the summary of Lesson 4.3 on pages 277- 278. Check out this website to see how the values of a, p (h in the applet) and q (k in the applet) effect the graph. You may also find it beneficial to read through the examples as we will be going through them in class on Monday.
Standard Form of a Quadratic Functions
The Standard Form of a quadratic function is: y = a(x – h)^2 + k or y = a(x – p)^2 + q
If a quadratic function is written in this form, then it will have the same shape as y = ax^2 and its vertex will be shifted from (0,0) to a new location as determined by the values of p (or h) and q (or k) .
TIP: The value of “a” gives you the shape of the graph and the values of “p” and
“q” tell you the location of the vertex.
Standard Form of a Quadratic Functions
The Standard Form of a quadratic function is: y = a(x – h)^2 + k or y = a(x – p)^2 + q
If a quadratic function is written in this form, then it will have the same shape as y = ax^2 and its vertex will be shifted from (0,0) to a new location as determined by the values of p (or h) and q (or k) .
TIP: The value of “a” gives you the shape of the graph and the values of “p” and
“q” tell you the location of the vertex.
Monday, October 24, 2011
Blogging Prompt: Quadratic Functions
Use your graphing calculator (or an online tool; x2 is written as x^2 and do not include the "y=".) to graph these three functions (y is the height and x represents time):
Blog a brief paragraph identifying ways in which these three functions are similar. Blog a second paragraph outlining the ways in which they are different and what causes these differences.
This sort of compare and contrast exercise can be made easier to do using Venn Diagrams. Draw three large overlapping circles. List the similarities in the appropriate overlapping sections and the differences in the non-overlapping sections. If you like, you can use this web tool to do it online. If you do blog about this prompt and want to post your diagram and don't know how to post pictures, ask in class. ;-)
Note: This blogging prompt was copied from Darren Kuroptawa's Pre-Calculus 30S blog.
- The height of an arrow is given by: y = -16x2 + 112x + 0
- The height of a baseball is given by: y = -16x2 + 64x + 0
- The height of a football is given by: y = -16x2 + 64x + 75
Blog a brief paragraph identifying ways in which these three functions are similar. Blog a second paragraph outlining the ways in which they are different and what causes these differences.
This sort of compare and contrast exercise can be made easier to do using Venn Diagrams. Draw three large overlapping circles. List the similarities in the appropriate overlapping sections and the differences in the non-overlapping sections. If you like, you can use this web tool to do it online. If you do blog about this prompt and want to post your diagram and don't know how to post pictures, ask in class. ;-)
Note: This blogging prompt was copied from Darren Kuroptawa's Pre-Calculus 30S blog.
21st Century Education
21st century education is a new way of teaching which will use some of the resources that have improved drastically since they started schooling the 19th century, including technology communication, and interactions with other students, and teachers. The way they began teaching school in the 19th century was to try and prepare children for life in the industrial economy. This new way of learning will help students to learn skills that will be needed to succesfully help serve the needs of people in this century. This program is experimental, but it is giving students a better chance of succeding in whatever field they plan to be in once they graduate.
Some skills needed are:
*Adaptability/Managing Complexity and Self-Direction
*Higher Order Thinking and Sound Reasoning
*Interactive Communication
*Effective Use of Real-World Tools
*Personal and Social Responsibility
*Teaming and Collaboration
I believe that the most important skill in 21st century education is "Interactive Education". My reasoning for this is there are very few things that can be done in this world if people do not communicate. With the technology that can be used in the present day we are able to communicate with people from all over the world. Even if we are not communicating with people from all around the world it is essential that we are able to communicate with people in small groups and workplaces. I think that 21st century education is a great way for students to start learning, it'll give them a great grasp on the skills they need in both the old and new economy.
Some skills needed are:
*Adaptability/Managing Complexity and Self-Direction
*Higher Order Thinking and Sound Reasoning
*Interactive Communication
*Effective Use of Real-World Tools
*Personal and Social Responsibility
*Teaming and Collaboration
I believe that the most important skill in 21st century education is "Interactive Education". My reasoning for this is there are very few things that can be done in this world if people do not communicate. With the technology that can be used in the present day we are able to communicate with people from all over the world. Even if we are not communicating with people from all around the world it is essential that we are able to communicate with people in small groups and workplaces. I think that 21st century education is a great way for students to start learning, it'll give them a great grasp on the skills they need in both the old and new economy.
Sunday, October 23, 2011
Pre Test Blogging
Well, there are things that I found hard with this unit, like completing the squares, and some of the factoring. But other things like defining how many roots or answers a question has and some of the easier factoring was not too bad. Im worried about the test, but with doiumg some studying on the weekend I should be fine with it, and hopefully do okay in the end!
blog before a test.
i found the skillls summary page to be very helpful outlining what we learned in class on one page. i always love having pages like that because it outlines what is on the test , so i go through it to see what i know and dont know. i think it will help me study this weekend. i am nervous because the test is on a monday and on mondays i feel like a blank slate. also binomials are the trickest thing to me. wish me luck!
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