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.