final review guide for algebra I

This final is 15% of your total grade.   It will be made up of 2 parts:  multiple choice and free response.

There should be 9-10 MC and around 9 free response.  Not that many problems for the time given but each will require thought and preparation.  Most of the test is focused on the work we did in linear functions/ SOEs, which was a unit that many of you did not prepare for.  Hope you do better this time.


Concepts
2 - solving a linear equation (but it is also part of SOEs)
1 - calculating slope (but this is also part of writing a linear equation)
1 - identifying slope (pos, neg, zero, undefined)
1- writing the equation for a line (but this is also part of writing a SOE)
1- knowing parallel lines have the same slope
4- solving a system of equations
1- writing a SOE with no solutions
1- writing a system from the solution
1 - graphing a scatterplot
1- writing the equation for a line of best fit
1 SOE application
1 "RACE/ /Demitri vs. Yakov" problem
1 - tabling a quadratic equation


We will have problems to do in class but here are some you can do as well.
p. 257 #3a
p. 330 #1ab
p. 361 #8
p. 366 #1
p. 378 #1, 4a
p. 381 #14a
p. 390 #1ab


videos
writing the equation for a line
https://www.youtube.com/watch?v=j68fNHpTivQ

solving linear equations
https://www.youtube.com/watch?v=Xe9frYF8Ghg&t=102s

solving a system by graphing
https://www.youtube.com/watch?v=fiCKZctQUUs

solving a system
https://www.youtube.com/watch?v=fGjTd-UyX6o

writing a SOE from a word problem
https://www.youtube.com/watch?v=z1hz8-Kri1E

Friday 12/14

All classes had their final unit test for the semsester/ calendar year.  Hope you all prepared and did well.

Now, look at the final review guides and start getting ready for that.

thursday 12/14

pre calc -  We did a tough one that probably needed change-of-base and then some whiteboard practice.  Keep working on it!





alg I -   We reviewed for tomorrow's test.  There was a warm up 18 and some whiteboard practice.  Prepare for tomorrow.

Wednesday 12/12

pre calc -  We took test questions, and did #5-14 on p. 238; Diagnostic 3 to finish the class. 




alg I -  We played SOE loteria and did a handout called the race involving SOE, linear equations and word problems.  Tomorrow is the last day to ask questions about the test!

pre calc final guide

The final is about 10 Mc and 7 free response.  The MC are 4 pts for right answers, 2 pts for wrongs.  The free responses are the typical 6 points.  The total would then be 102 points which would serve as 20% of your total grade.


Polynomials, including rational functions, are the major part of the test.(that includes factoring)

4 - finding zeros of a polynomial
2 - writing a polynomial function from a graph or description (including multiplicity)
2- knowing the parts of a rational function (asymptotes, zeros, holes)
1- factoring a polynomial (though factoring will help you with a few other problems)
1- composite function
1- writing a conic equation from description or graph (not a hyperbola)
1 - using a conic equation to determine an ordered pair on the conic (not a hyperbola)
1- log property (though knowing log props will help in another problem)
1 - solving log equation (beware unreasonable answers!)
1- the box problem
1 - knowing the parts of an exponential function (asymptote, key point, general shape of growth vs. decay)
1- writing the equation for a line (may include point-slope)


line
p. 12 #25, 27, 77, 79

composite function
p. 57 #41-44

polyniomials
p. 99 #75-76
p. 109 #9-12, 75, 79, 110
p. 125 #47, 48, 89, 94, 117
p. 140 #27, 28
p. 157 #19, 27, 29, 61

graphs of logs and exponentials
p. 190 #43, 44
p. 199 # 45, 47,

log properties
p. 208 #69, 71, 73, 76, 81

solving logs
p. 217 n#7, 27, 31, 71, 101, 110

circles
p. 643 #7, 10, 11, 23

videos
solving polynomials
https://www.youtube.com/watch?v=0oF09ATZyvE&t=1202s

solving log equations
https://www.youtube.com/watch?v=kaga-7Y44qc&list=PLCaglPiKngyvMEIh42wolkioy2gVd186R

circle equation
https://www.youtube.com/watch?v=gTVStUGC2pE

writing a linear equations
https://www.youtube.com/watch?v=LTb2-LE7StE

writing polynomial functions
https://www.youtube.com/watch?v=q6vgQEZuNKk

Tuesday 12/11

pre calc -  We took questions on the review guide, and then did a concept connection in the purple alg II book.  Test still on Friday.  Check the review guide.



alg I -    After a little line dancing, we did a concept connection p. 362 in the red book.   Test still on Friday.  Check the review guide.

Monday 1210

pre calc -   We took questions on the review guide for logs, then did 2 applications on expoential functions (Forester book #2, 3 in exponential unit)





alg I -   We looked at a video that showed systems use in trigonometry;   Mr Russell led a "football" game involving graphing and systems; we had a WODB on systems and hw is p. 391 #7, 8

friday 12/7

pre calc-   We looked at yesterday's problems and did diagnostic number 2.  Study the guide if you have time this weekend and I will start taking questions on the guide.




alg I -   We looked at our skateboard task from Thursday as well as the hw from Thursday.   After doing 3 more challenging problems, Mr Russell led a football themed contest.   The guide for the test next week is up on the blog so you can study if you want.

thursday 12/6

pre calc-   we did an application of an exponential problem after reviewing the 4 toughies.  Last part of class was the 3 toughies.  Hw if you did not finish.




alg I -   We started with a skateboard task on SOEs, then took notes on elimination method.  Hw was p. 390 #1 all.

alg I SOE review guide

This is the review guide for the system of equations/ linear function test that is on Friday 12/14.

This is the test breakdown

4 solving a system (anyway you want)
1 solving a system by graphing (no algebra, but find the intersection point)
2 system applications (real world problems)
1 writing a system based on the solution
1 writing an equation from a data set

Two of these system problems can be solved by just reading the equations.  In other words, you will be able to see that they have the same slope and there won't be a solution or that it is in point-slope and they share the same point, which of course is the solution.


Good problems in book to do to prepare
p. 361 #8
p. 366 #1
p. 373 #11abefg
p. 378 #1, 3, 4abcde, 6
p. 384 #1a
p. 390 #1abd

videos
graphing an equation  https://www.youtube.com/watch?v=nojSLJ9KYvQ
writing the equation for a line    https://www.youtube.com/watch?v=mmWf_oLTNSQ
solving a system  https://www.youtube.com/watch?v=oKqtgz2eo-Y

Wednesday 12/5

pre calc - We took our diagnostic test and then took notes on unusual log and exponential problems.  Hw is the 7 problems on toughies. 





alg I -   We had a walkabout on SOe's then notes on a new way to solve (elimination) and hw is p. 392 #10.

Log review for pre calc

Ok this is the final unit test (THERE IS STILL A FINAL!)

There will be 11 questions, though 1 will be from the conics unit

3 - simplifying log expressions (3.3)

1 - writing the inverse function of a function

2 - solving log equations (3.4)

1 - solving exponential equation (3.4)

1 - application of a log or exponential function

1 - finding asymptotes of a log or exponential graph

1 - finding domain and range of a log or exponential graph

1 - blast from the past - Completing the square and graphing a conic

Could be some extra credit as well.

Here are the problems in the book
p. 67 #28-30
p. 190 # 41, 43, 49, 81
p. 199 #45, 47, 49
p. 207 #41, 43, 71, 81, 91, 97,
p. 217 #23-31 odds, 77, 97, 101
p. 643 #23, 25

There is also a few times that CHANGE OF BASE will come into play; there are not any of those problems in our book but be ready for them anyway.  something like:
log4 x = log3 7  solve for x.


Videos:
solving equations:   https://www.youtube.com/watch?v=fnhFneOz6n8
properties:  https://www.youtube.com/watch?v=RRB1hBi_9cg&t=14s

Tuesday 12/04

pre calc -   We finished the India vs. China problem, did 6 log property problems on whiteboards and 7 problems that were projected on the board.  See me if you missed today as the work was turned in. 





alg I -   After warm up 16, we did a task on SOEs called :Lines that Intersect.  Due Friday.

Monday 12/03

Sorry for the late post...


pre calc -  We did 6 problems involving log properties and then started a China vs. India task that we will finish tomorrow.



alg I -   We worked through an easy systems money problem and then in groups worked on a systems problem comparing 2 pool options (Summer Swimming).  It was turned in at the end of class.