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=Brief Semester Review (Highlights)= =The following videos, activities and assignments intended to serve as final exam and/or OGT review. These are the things we have studied since August. Click on links and take notes as you go. Your final is Thursday Jan 19, 2012. Plan to spend at least an hour per day studying. You can also use the index in your book to look up any of the topics.=

I. Sequences.
=Watch the following video to review the basic terms of sequences:=

Define the terms of a Sequence.
==Be able to find the first five terms of a sequence give the first term and a recursive formula. Remember the recursive formula is the one that depends on the previous term. Example: if a 1 = 5 and a n = 2a n-1 + 3 then a 2 = 2(5) +3=13. Use the recursive formula to figure out the rest of them: { 5, 13, 29, 61, 105} You could write that in table form too like this: ==
 * n || 1 || 2 || 3 || 4 || 5 ||
 * a n || 5 || 13 || 29 || 61 || 105 ||

Kate’s grandfather gives her an old coin worth $50. The coin increases in value by 8% each year. How much is the coin worth after 6 years?
==Well, the first term is 50. And you can represent an 8 % increase by adding 8 % of the previous number to the previous number. So the long way would look like this (recursively) : a n = .08(a n-1 ) + a n-1 Now you could factor out the (a n-1) to get this shorter more compact version. a n = 1.08(a n-1 ) Just do that 6 times recursively to get the solution. Solve it, then click here for the answer.==

=II. Linear Functions. This is such important stuff that you review it every single year from about the 6th grade on through college Math! Each year you should become more and more fluent with linear functions and everything about them. Here are some videos you can watch to review Linear Functions.=

=1. Graph a line using slope-intercept=

=2. [|Write a linear equation in slope intercept form.]=

=3. Graph a line using point slope form =

=4. [|Graph a line using point-slope form] (part 2)=

==III. Quadratic Functions. We started a study of Quadratic Functions this semester which will continue next semester and throughout your Mathematics Education. You should be able to find zeroes (aka roots, x-intercepts), the y-intercept and the vertex. Also you should be able to write an equation for the axis of symmetry and tell whether the function opens upward or downward without graphing. We practiced all of this both by hand and with the TI Nspire ! Here are some videos to help you review.:==

==IV. The Ohio Graduation Test is a good opportunity to review the important math you learned from sixth grade on. We did two practice tests this semester on the ODE website. Those tests will show you correct solutions and give explanations.. Go to your account and review those two tests. :==

==Go to the [|OGT Success Website]and study the two practice tests you took this quarter. There will be 20 questions from these tests on the exam.==

=V. Domain and Range of a Function= =Give the DOMAIN AND RANGE of a function graph or equation. Express the domain and range in interval notation or as an inequality or in a sentence.=

=1. Please click on the below link. Scroll through the lesson slowly reading everything as you go. Take note if necessary.= =Domain and Range on Purple Math=

=2. So you thought Cool Math was for kids? Domain and Range is a very important concept but in some sense it is simple too. Be sure to look at all 6 pages AND read it all AND study the graphs. Notice the interval notation!= =The Cool Math Connection to Domain and Range!=

=3. This link has more graphs and exercises too. You should work out the questions on your own, THEN click on the answer and study.= =Interactive Mathematics Domain and Range.=

=4. Here is another good tutorial for DOMAIN and RANGE by reading a graph.=