Mrs. Kearns Algebra II/Trig Honors (5530-01) Q4 (2010-2011)

Date:

Day

Assignments: (Yellow Class)

Topic covered in Class (Links)

Your final exam will be on Wednesday June 15th 2011 at 8:30 a.m.  Please reference my review sheet and don’t forget to bring your calculator and number 2 pencils. 

Girls have a great summer!  It has been a pleasure teaching you this year.  You are well prepared for pre-calculus.  Summer is a great time to prepare for your fall SAT’s!  Prepare now for big rewards later. 

06/08/2011

D

Quiz:  Right Triangle Trigonometry.

Last day of classes.  J

The 6 trig functions as functions of real numbers.

Radian unit of measurement. Click here for notes on angles in standard position and a radian unit of measurement

06/07/2011

C

No Class:  Click here for a practice worksheet on circles

Answers will be given in class tomorrow

06/06/2011

B

Draw the following angles measured in degrees in standard position, draw and find the reference angle then use the reference angle to find 6 trigonometric function values of each:  45, 120, 225, 300 and 405.

Introduce a radian unit of measurement.

Define the 6 trig ratios in terms of x, y and r.

06/03/2011

A

Study your notes!

Angles in Standard Position. Positive, Negative and

Quadrantal Angles.

06/02/2011

F

No Class

06/01/2011

E

TEST:  Exponential and Logarithmic Functions

05/31/2011

D

Study for test tomorrow.  Exponential Functions and Logarithmic functions.  Test will include real world applications.

Rt Triangle Trig.  Solving right triangles using trig ratios and properties of special right triangles.  30-60-90 and 45-45-90.

05/26/2011

C

No Class

05/25/2011

B

Sophomore Spirit Day: All students must have the rt triangle trig packet done by next class

05/24/2011

A

Do the worksheet packet right triangle trigonometry. 

Right Triangle Trigonometry

05/23/2011

E

Real world applications of exponential and logarithmic functions

05/20/2011

D

Work on the worksheet solving exponential equations using logs

05/19/2011

F

No Class

05/18/2011

C

No Class

05/17/2011

B

Finish up worksheet # 4

Introduce solving exponential equations using logs

Solving exponential equations using logs

05/16/2011

A

Click here for worksheet 4

Click here for answers to worksheet 4

Simplifying exponential and logarithm expressions.

05/13/2011

F

No class

05/12/2011

E

Click here for worksheet # 3

Click here for solutions to worksheet # 3

05/11/2011

D

Do the logarithm worksheet # 2 handed out in class.

Click here for log worksheet # 2

Click here for solutions to worksheet # 2

Laws of Logarithms

05/10/2011

C

No Class

05/09/2011

B

Quiz:  Exponential Functions including y=e^x

05/06/11

A

I will be out, work on log handout in class.  Prepare for quiz on Monday B Day 05/09/2011

05/05/11

F

Study for quiz on exponential functions Monday B Day 05/09/2011

05/04/11

E

Do the application of exponential functions worksheet handed out in class

05/03/11

D

Click here for practice 7.3 worksheet

Click here for answers to 7.3 worksheet

For the graphing problems use your calculator and find the domain and range; use your knowledge of shifts and translations to help you with this. 

Euler’s Number pronounced “Oilers” number e.

05/02/11

C

No Class

04/20/11

B

Work on the exponential growth and decay worksheet handed out in class.

Compounding.

04/19//11

A

Graphs of exponential growth and decay functions

Derive the exponential growth function

Exponential growth/decay functions.  f(x)= b^x

04/18/11

F

No Class

04/15/11

E

Work on the review sheet for laws of exponents.

Review laws of exponents

04/14/11

D

TEST:  Chapter 6 and (8.2, 8.3, and 8.4)

Introduction to exponential functions

04/13/11

C

No Class

04/12/11

B

Study for test Next Class Thursday D Day 4/14/2011

Click here for Review Sheet for Test

04/11/11

A

Click here for worksheet 8.4

Click here for answers to worksheet 8.4

Simplifying Rational Expressions

04/08/11

F

No Class

04/07/11

E

Study and review Chapter 6 sections 6.1-6.6 as well as 8.2, 8.3 and 8.4.  You will be responsible for all this material on your test

04/06/11

D

Click here for worksheet problems

04/05/11

C

No class

04/04/11

B

Click here for worksheet practice 8.2

Click here for answers to practice 8.2

Click here for worksheet 8.3

Click here for answers to worksheet 8.3

Discontinuities for Rational functions R(x)

Infinite/Removable.

Identifying vertical asymptotes and domains for Rational Functions.

04/01/11

A

Study notes on rational functions and discontinuities

Rational Functions

03/31/11

F

No Class

End of Q3.  J

03/30/11

E

Click here for practice worksheet 6.4

Click here for answers to 6.4

Finding inverses of functions, verifying that two functions are inverses of each other graphing functions and their inverses.

03/29/11

D

Go back to worksheet 6.3 linked below and do problems 13 – 18 and try 25, 26 & 27 (you are trying to find the 2 simpler functions that made up the new composite function)

Check your answers before coming to class

Introduction to inverses of functions.  2 of the most important property of functions and their inverses (composites and graphs).  How to find an inverse, mapping of functions and their inverses.  One-to-One Functions

03/28/11

C

No Class

03/25/11

B

Do the mapping for the problem I assigned you in class

Composite Functions.

03/24/11

A

Click here for worksheet 6.3

Click here for answers to worksheet 6.3

The Arithmetic of Functions.

03/23/11

F

No Class

03/22/11

E

Click here for practice worksheet 6.6

Click here for answers to worksheet 6.6

6.6 Solving Radical Equations

03/21/11

D

Quiz:  Graphical analysis of polynomial functions and real world applications of polynomial functions of higher degree.

Click here for practice on sections 6.1 (do only problems 1- 15)

Click here for answers to 6.1

Click here for practice on section 6.2 (do odds only)

Click here for answers to section 6.2

03/18/11

C

No Class

03/17/11

B

Study for quiz next class applications of polynomial functions of higher degree

03/16/11

A

Graphical analysis of polynomial functions in order to determine domains of more complicated functions.

Click here for practice worksheet

Click here for solutions to domain practice worksheet.

03/15/11

E

Click here for practice worksheet

(real world applications of polynomial functions of higher degree)

Applications of polynomial functions of higher degree.

03/14/11

C

No Class

03/11/11

E

.

03/10/11

D

Click here for worksheet # 2

03/09/11

C

No Class

03/08/11

B

Click here for worksheet # 1

 

 

Graphical Analysis of Polynomial Functions of higher degree.  Domains of rational functions (topic already covered in quadratics now revisited in relation to higher degree polynomials)

03/07/11

A

TEST: Chapter 5

03/04/11

F

No Class:  Click here for review sheet to help you prepare for test on Monday

03/03/11

E

Study for test on Chapter 5 Monday 03/07/11.

Polynomial functions of degree 3 and higher: 

Suggested practice do the Chapter test on pg.407 in your textbook problems 1-24 only.

In class bring it all together example for evaluating, analyzing and graphing polynomial functions of higher degree. 

03/02/11

D

Click here for worksheet 5.9

 

Click here for answers to 5.9 worksheet

Writing polynomial functions from data represented numerically.  Please note we are omitting the topic of finite differences.

03/01/11

C

No Class

02/28/11

B

Please read over section 5-8 pgs 387-388 (finding turning points)

 

Click here for worksheet 5.8  (do only problems 1-22)

 

Click here for answers to 5.8 worksheet

Graphing polynomial functions of higher degree. 

To recap:  we use the remainder, factor and rational zero theorems to factor polynomial functions of higher degree.  The Fundamental Theorem of Algebra helps us know we have found all zeros of a polynomial function.  Distinguish between real zeros and imaginary zeros.  Multiplicity and graphical analysis of polynomial functions of higher degree.

Turning points (local/relative extrema)

02/18/10

A

Click here for practice 5.7

Click here for answers to 5.7

Fundamental Theorem of Algebra and Multiplicity

Have a wonderful and restful break!

02/17/10

F

No Class

 

02/16/10

E

Quiz:  5-1 - 5.5

Click here for practice 5.6

Click here for answers to 5.6

Rational Zero Theorem

Fundamental Theorem of Algebra

02/15/10

D

Study for quiz tomorrow 5.1 – 5.5

Rational Zero Theorem

02/14/10

C

No class

 

02/11/10

B

Study remainder and factor theorems know them and apply these theorems to worksheet 5.5.  Make sure you can do all problems on worksheet 5.5

Remainder and Factor Theorems

02/10/11

A

Click here for practice 5.5

Click here for answers to 5.5

 

Finding x -intercepts when the polynomial expression defining the function is not factorable through traditional factoring techniques.  Polynomial Division: long division vs synthetic division.

02/09/11

F

No class

 

02/08/11

E

Click here for practice 5.4

Click here for answers to 5.4

You are in Algebra II/Trig honors it is expected that you can add, subtract, multiply and divide polynomials.  If you need extra practice refer to section 5.3 in your textbook for a review.  You are responsible for this material, which is covered in depth in any Algebra 1 curriculum.

Evaluating Polynomial Functions direct substitution vs. Synthetic Substitution.

Finding x intercepts of polynomial functions using traditional factoring techniques and applying the zero product property.

02/07/11

D

Click here for 5.1 worksheet (review of the law of exponents)

Click here for 5.1 Answers

Click here for 5.2 Worksheet

Click here for answers to 5.2 Worksheet

Polynomial functions of Degree 3 and Higher

End Behavior of Polynomial Functions

Notation and End Behavior Models

02/04/11

C

No Class

 

02/03/11

B

TEST:  Real world applications of quadratic functions; quadratic inequalities, domains, and range of polynomial and rational functions/radical functions

Graded homework assignment handed out in class today is due next class Monday D Day 02/07/11

Note: this is a 45 minute period right before lunch if you need the extra 15 minutes you may stay into your lunch.  This will still give you 30 minutes for lunch!

02/02/11

A

SNOW DAY!  Test is rescheduled for tomorrow.  Read the note above!  Bring your lunch tomorrow so you won't have to buy.

Please see all practice problems listed below!  Make sure you take advantage of the solutions posted.  You should be and will be responsible for all problems given!

02/01/11

F

No Class:  Study for test Wednesday please

SNOW DAY!  TEST IS STILL SCHEDULED FOR TOMORROW...UNLESS WE HAVE ANOTHER SNOW DAY.  Test will be first day we return to school and have class!

01/31/11

E

Review all your modeling problems, quadratic inequalities and domains of polynomial functions as well as more complicated functions.

 

Study for test on Wednesday A day 02/02/11

Extra Practice:

1. Problems in your text book:  pg 315 do the practice quiz 1- 13.  Omit #'s 7, 8, 9 & 12.

2. Pg. 316 in your textbook problems 1, 2, & 3a.

Click here for answers to assigned textbook problems on pgs 315 & 316

3. Click here for a mixed review of problem solving  do only problems 1, 2, 3, 4, & 8

Note for problem #4:   If you assume the football cross bar is 10/3 ft (convert the yds to ft). Tricky the problem gives you the height of the crossbar in yds not feet! The function is measured in ft not yds.  You must convert the yds into ft so the units match.  Don't worry any problems I give you tomorrow will have the same units!

Click here for answers to the mixed review

 

 

 

 

D

Click here for worksheet on domains

Read and practice quadratic Regression pg 311 example 4.  This should not be difficult for you since you are familiar with the process for linear functions.  Do the extra example 4 on your own for practice.  Then do problems 48 & 49 on pg 314.

Using your knowledge of quadratic functions to find the domain on more complicated rational and root/radical functions. 

01/27/11

C

Snow Day # 4