Friday 5/31

pre calc -   without our beloved seniors, it was very quiet.  Spent most of the period on desmos working on sinusoids.



alg I -   Went over the perf task and quad test.  One class was able to do stomp rockets.  Other classes has some algebra work to complete and turn in.

pre calc review guide for juniors and soph.

This review guide is only for pre calc juniors.  If you are a senior in that course, your review guide is on another earlier post.  It is much shorter and tells you what to concentrate on.  For those juniors taking the final here is the description and problems to do.

2 solving trig equations (one with trig identity substitution)

1 trig graph (period, amplitude, shifts, reflection)

1 unit circle (co-terminal and reference angles)

1 right triangle problem (SohCahToa and Pythagorean)

1 oblique triangle problem (law of sines and cosines)

1 Defining all 6 trig function values from an ordered pair

1 Converting between radians and degrees

1 Writing a sinusoid from description

1 Transforming a sinusoid

1 Defining a vector from 2 points

1 Adding vector

check out these problems to prepare:

p. 261 #25, 47, 49, 53

P. 270 #9,

p. 282 #73, 78

P. 289 #11b

p. 299 #11, 43, 51, 57, 87

p. 355 #45, 51

p. 373 #11, 21-23, 49, 86

p. 410 #7

p. 417 #7, 11

P. 429 #13, 15, 37, 39

p. 681 #39

Thursday 5/30

pre calc -  we cleared up a few things about polar functions and then took our quiz.  No hw.  Have fun!!




alg I -    Today was our final performance task on quadratics.  No hw.

Wednesday 5/29

pre calc -   quiz prep for our final quiz; some graph calc work with polars (roses), whiteboards practice.



alg I -   More exploration of completing the square   3 problems on completing and graphing the resulting equation.  Perf task tomorrow.

Review Guide for alg I final

There will be 2 parts to the final, multiple choice and free response.   Almost half the test involves quadratic functions.  You have time to prepare ,practice, ask questions and master this material before the final, so at the end you should have no excuses for the results.

1. What are the roots for the function, x² +7x +12 = y ?
2. Solve 4x² +6 = 26
3. What are the zeros for  (2x+5)(x - 6) = 0 ?
4. solve :  2x² -4x = 2 .
5. Solve the system of equations:  y = 2x -3 and y = 5x - 21
6. Solve the system of equations:  y = x² - 5x +1 and y = 2x + 19
7. Evaluate:  (3x)²(5x4)   <the 4 is actually an exponent>
8. What is 12x³y⁶ divided by 8xy⁷?
9. What is the area of a rectangle with length (2x-7) and width (3x +1)?
10. Graph:  y = 2x² + 12x - 4
11. graph :  y = -(x-3)² +2
12. What is the lowest point on the graph for the function f(x) = x² -8x +5?
13. Graph f(x) = 2(3)^x.
14. Factor 3x² +11x - 4.
15. Write a polynomial that is a quartic binomial.
16. What is f(-2) for f(x) = x² -3x + 4 ?
17.   If area is x² + 9x - 10, and length is (x-1), what is the width?
18.   Solve the system:  2x +y = 8  and 2y = 4x - 10
19.  factor : 6x³ - 10x
20.   Find the equation for a line with points (1, 6), (2, 8), (3, 10) and (10, 24).

Answers:

1.  X = -3, -4
2. X = 2.3, -2.3
3. X = -2.5, 6
4. X = -0.4, 2.4
5. (6, 9)
6. (9, 37) and (-2, 15)
7. 45x⁶
8. 1.5x²y^-1
9. 6x² - 19x -7

12. (4, -11)

14.  (3x - 1)(x+ 4)

16.  14

17.  (x-10)

18.  (3.25, 1.5)

19.  2x(3x² - 5)  

Tuesday 5/28

pre calc -     warm up to help prepare for the upcoming final.  On p. 682 We made sure we did 73 and 76.  Notes on special polar graphs..  Quiz on Thursday on polar equations and their graphs (mostly 9.5).





alg I -   Review of graphing parabolas; notes on completing the square and desmos marble slides on transforming quadratic equations.  No hw.

Senior Review Guide

There is a short final for seniors; I believe it is on Tuesday June 4th.  For juniors, if you did not test out the final will occur at the regularly scheduled time and will be different.


For the seniors, there will be 7-8 questions, mostly in the area of trigonometry.

2 solving trig equations (one with trig identity substitution)
1 trig graph (period, amplitude, shifts, reflection)
1 unit circle (co-terminal and reference angles)
1 right triangle problem (SohCahToa and Pythagorean)
1 oblique triangle problem (law of sines and cosines)
1 polar coordinate (finding magnitude and direction)
1 more on something special


check out these problems to prepare:

p. 261 #25
p. 282 #73, 78
p. 299 #11, 43, 51, 87
p. 355 #45, 51
p. 373 #11, 21-23, 49, 86
p. 410 #7
p. 417 #7, 11
p. 681 #39

Friday 5/24

pre calc -    we had a warm up on plotting on the polar plane and did p. 682 #65-68, 71, 73




alg I -    we took our unit test for quadratic functions today.

Thursday 5/24

pre calc -  more work with polar equations   we did p. 681 C# 49, 50, 54, and 63.




alg I -   whiteboard review for test tomorrow and warm up 22.

Wednesday 5/22

pre calc - A little video on Polar Planes and notes on polar equations.  No hw.





alg I -   we reviewed the problems from Tuesday and did more desmos work.  Ended class with a Loteria game on unit vocab.  Study for unit test.  Guide is in previous post.

Tuesday 5/21

pre calc - new unit and notes on the polar plane; p. 681 #1-10.



alg I -   review on how to solve quadratics; watch Mr 2Pi's video again; used desmos to get a parabola containing 3 specific points; hw is the 4 quad review problems on the board.

Algebra I Quadratics Review Guide for test 5/24

There will be a unit test (the last one!) on Friday.  It is very comprehensive of the whole unit; in other words, there is a lot of graphing and vocab on the test and  not just solving equations.

There are 8 questions, though some will have multiple parts.

5 Solving quadratic equations - you can use any method.  All will have real solutions.
6 on quadratic equation vocab -  vertex, roots, solutions, maximum/ minimum, parabola, standard form, quadratic equation, quadratic formula
1 graphing a quadratic
1 finding the vertex
1 putting a quadratic equation into standard form
1 reading a parabolic graph that matches a real world situation


Be able to:

solve:  (x+1)(x - 5) = 0

solve: x^2 +8x +7 = y

solve:  x^2 - 2x = 5

solve:  2x^2 - 11x + 5 = 0

solve:  4x^2 - 14 = 18   (yes that is a 14 and not a 14x)

graph:  y= 2x^2 - 8x + 7

what is the maximum value of y = -3x^2 +18x + 1?

Put the following into standard form:  y = (2x+3)(x - 6) + 2

If a golf ball is hit and its height is modeled by h = -16t^2 + 48t, when does it hit the ground?


ANSWERS:
1.  x= -1, 5
2. x = -1, -7
3.  x = 1 +/- sq rt 6
4. x = 0.5, 5
5. x = +/- sq rt 8
7. ( 3, 28)
9.  t = 3 seconds

Friday and Monday 5/20

If you are in my pre calc, you watched Stand and Deliver, since I was out on those days.


If you were in my alg I class, Mr Russell led you.  Contact him by email to see what you missed.

See you all on Tuesday.

thursday 5/16

pre calc -    today was our final unit test on vectors.  I am out the next 2 days so if you missed, make ups are on Tuesday.





alg I =   We listened to more songs, did a quadratic application and took our quiz on solving quadratic equations.

Wednesday 5/15

pre calc -   We reviewed the perf task and got ready for tomorrow's unit test with a diagnostic.




alg I -   We reviewed the writing task; worked on the desmos graphing calculator, listened to another quad song and did a walkabout to get ready for tomorrow's quiz on solving quadratics.

Tuesday 5/14

pre calc-   went over the review guide and did the FINAL performance task!  test this Thursday.





alg I -  We went over a problem from Monday; did a writing task and we finished with quadratic equation practice (solving).  Quiz on Thursday.

Monday 5/13

pre calc =  we had some time with the whiteboards working on this unit; our test is this Thursday.  We also did p. 452 #19, 20, 49-53 odds.





alg I -  Today was more experience with quadratic formula.  We listened to 2 songs and then did p. 602 holt #3-9 odds.  Quiz this Thursday on solving.

Thursday 5/9

pre calc -   We did that problem from yesterday #105 in section 6.3 and then took notes on the complex plane and did #7-13 odds in section 6.5.  Last part of class was the 4 problems around the room.





alg I - There was whiteboard practice on solving quadratics and the classes that did not do desmos Match My Parabola did it today.

vector/trig test review guide

The test for vectors is next Thursday 5/16/19.  There is some trigonometry on it as well.

The test is 8 questions, though like the last quiz there could be a and b parts to a few questions.


1 real world problem that will involve an oblique triangle.
1 finding a value (angle or side) to an oblique triangle
2 drawing resultants after adding vectors (could involve scalar multiplication).
1 determining if a value is scalar or vector
1 putting a vector in component form and determining magnitude
1 plotting points on the complex plane
1 basic trigonometry

Most of this info is in 6.1 to 6.3 but I say the 6.3 is weighted to most in this test.


Practice Problems
p. 410 #7, 48
p. 417 #7, 15, 47, 51
p. 429 #13, 15, 19, 25-30, 39, 59, 93
p. 452 #7-17 odds



vector and vector operations video - first 4 minutes

https://www.youtube.com/watch?v=1G5E_x0MgLc

Wednesday 5/8

pre calc -   WE reviewed the work from Tuesday and the quiz.  After we did #105 and 119 on p. 432 and #71 on p. 441. Finish for hw.




alg I -    We worked with another quadratic sequence and did more on the desmos graphing calculator and did Match My Parabola on student.desmos.com.   Four solving quadratic problems for hw.

Tuesday 5/7

Today I was at a conference, hope the sub was helpful.  See you tomorrow!

Monday 5/6

pre calc -   we did #103 in the 6.3 section of the book as an application.  Then we took notes on dot product and did #11, 13, 25.  Finish for hw.




alg I -   After reviewing the quiz, we did a writing prompt and finished with 2 desmos activities on quadratics.

Wed 5/1

pre calc -  p/. 430 31-37; hw review; notes on linear combinations and unit vector. P. 430 #47-51 odds, 57, 63, 87, 88. Quiz Friday.


alg I - We did a small review on graphing quadratics then took our quiz. We finished up on the computers using Desmos. No hw but other work is due on Friday.