539 PRE CALC ASSIGNMENTS

                              From Blitzer’s “PreCalculus”

                                               ISBN: 0131874799

                                          Fall 2011 and Spring 2012

                                                       

                       

 

                       These assignments are the BARE BONES of the course.

            I use this site to drag and drop to your daily assignments on the SHA calendar site on the Daily Assignments  link. You would only use this source as a reminder about homework and classroom policies and as an overview of how much work you will be doing for this course.Do not do any assignments from this site unless you see it listed  in the daily assignment web site.

            The letters RO means “Read and outline”. Outlining must be done thoughtfully and carefully otherwise you are wasting precious time. The letters DP means, “Do problems”.  RO means “Read and Outline” and CN means “class notes.” If for any reason class is cancelled, (snow, ice, other issues) you must stay on schedule and complete the homework for the assigned class day.

 

            Be sure your work is properly organized according to the “Rule of Three”.

            You are responsible for organizing them in dated order in your binder.

            *****Homework will come from two directions: the calendar Daily Assignments web site you should check every day AND in class where additional assignments and notes will be given.  Students are responsible for all assignments from both sources.

 

   NOTE WELL:  CLASSROOM GRADING ORGANIZATION AND POLICY:

 

                      THE RULE OF THREE:

 

Each dated class day will have a right hand cornered date and topic title for the class discussion.

(#1 component Class Notes CN-DATE-Topic)

 

THAT EVENING’S HOMEWORK: right hand dated and HW assignment clearly marked (Component #2 HW-DP-DATE-Topic)

 

The Class RO assignment  for the topics covered either done before or after a class (Component #3-RO-Date-Topic).Your note-taking guide may be part of these assignments

 

EVERY CLASS TOPIC WILL HAVE THREE GRADED COMPONENTS EACH WORTH 33% each for a total HW grade per lectured class topic:

 

Components will be numbered according to the order done. Most of the time, you will be doing the RO first, then the class notes (CN) and then the DP.

The Format for each graded event would have the following form:

Class Notes (CN)-Topic-Date

Reading and outlining:RO-Topic-Date

Homework or HW-DP-Date

 

NOTE WELL: EVERY TOPIC MUST HAVE THREE GRADED COMPONENTS all with the same Class Date which is the first date the topic is introduced.

 

 

It is your responsibility to follow the class lectures and check the lesson assignment schedule which is based on the assignments from Bare Bones topic assignments listed below. You are not responsible for any of the following assignments until they appear on the calendar web site.

 

      **********      Throughout the year and possibly daily, there will be additions 

                                 To these assignments either given in class or posted on the web.

                                 Check the lesson assignment schedule daily.

 

                                                            Bare Bones

 

Lesson Unit/Topic:

Syllabus and Style Point Printouts  as well as Follow-Up Test and p.2-14 Read and do all nine checkpoints in your notebook

Assignment

Syllabus and Style Point Printouts are due Thursday as well as Follow-Up Test and p.2-14 Read and do all nine checkpoints in your notebook

Lesson Unit/Topic

·         Algebraic Expressions and Real Numbers

·         Syllabus is due

·         Style Points sheet is due

·         p.2-14 all nine checkpoints

 

p.14-15 #1-109 First Odds

Example:

# 1,17,19,21,29,35,43 etc).

Review Class Notes:

Real number System rules regarding zero

Infinity is not a number

The four representations for math concepts

Definition of Absolute value: what does lxl=8 really mean? So then what does l3x-9l=12 mean and how do you now find x?

Look over all your notes and read Blitzer!!!

Lesson Unit/Topic

Special half hour working on the diagnostic take-home. If we do not finish we will continue about 20 minutes each class until we do.

·         Writing in Mathematics

·         The verbal component of  the four legged wheel of understanding:

·         Graphically, verbally, analytically and tabular

Review all diagnostic test class notes

 p.16 #129-139 Style Points Count(SPC)

(May be typed if you wish)Use a dictionary and a Thesaurus for accuracy Follow instructions carefully and cite your references within each questions' answer.

Class Topic

Assignment

Lesson Unit/Topic

·         Exponents and scientific notation

 

RO p.17-25. Do all checkpoints in your notebook and CORRECT your answers. Retry at least once if you have any wrong. Try the technology component suggested by BLITZER FOR SCIENTIFIC NOTATION

Lesson Unit/Topic

continuation of exponents and scientific notation and introduction to P3

Girls:

Relax! After you RO P-3 you will feel much better about the material;

TWO ASSIGNMENTS:

Part One:

p.25 #1-114 FIRST ODDS AND FIRST EVENS (so you will do 1, 2, 23, 24, 65, 66, etc.). and

Part Two: p.28-39 RO P-3 and do all checkpoints.

Lesson Unit/Topic

·         Radicals and Rational Exponents

Study for test on Friday on P1-P3 pages 1-42.Make sure you know all the formulae and the basic, straight-forward analysis in P3. We will tackle the harder more complicated problems in P3 separately after the test.

Lesson Unit/Topic

Test on P1-P3

  •  

 

 

Have a homework holiday over the weekend. Take a break. We will pick up on Tuesday full speed ahead.

Quiz on 9/19 on advanced topics of P-3 and P-4

Lesson Unit/Topic

·         Wrap up of advanced topics from P-3 and P-4: Polynomials

 

 

p.39 1-108 first odds .RO P-4 all checkpoints

 

Quiz on P-3 advanced topics on Friday and P-4 polynomials

Lesson Unit/Topic

 

Quiz on advanced topics in P3 and Polynomials in P-4

  •  

 

RO P-5 Factoring Polynomials and do all the checkpoints page 51-59 RO plus all checkpoints.

Lesson Unit/Topic

·         Factoring Practice: How to factor EIGHT different ways!!!!

Follow the large Blue numbered paragraphs in your text on p.51-59 and try all the examples with the solutions covered. Can you do all 8 factorizations?

HW: p.60 #1-103 first odds

Lesson Unit/Topic

·         8 factorizations and Mid Chapter Check Point p.62 due by the end of class.

Quiz next class on factoring up to P-5

HW: p. 60 First EVENS for #1-103

 

Lesson Unit/Topic

Quiz on P-5

Review of exponent rules, radical rules, and factoring

RO p.63-73 very carefully and make note of the Eight Objectives you will be expected to know for this section on the left side of p.63.

Back check:p.40 #67-82 evens

Lesson Unit/Topic

 

Rational Expressions:

 

Intro to Rational Expressions that will give birth to Rational Functions

·         domain restrictions

·         simplifying ,multiplying and dividing

HW: p.74 # 1-75 First odds

       Back check: p.26 # 59-64 odds and 107-112 odds

Class Topic

Assignment

Lesson Unit/Topic

 

Rational Expressions

·         add and subtract Rational Expressions

·         Simplify Complex rational expressions and calculus fractional expressions

·         rationalize numerators

 

HW p.74 #1-75 FIRST EVENS.

Lesson Unit/Topic

·         Review of all of P-6 Quiz next class

Quiz on P-6 TBA Do all checkpoints and check your answers for P-6

 

 

Lesson Unit/Topic

·         Quiz on Rational Expressions

RO P-7 Equations and do all checkpoints.

Lesson Unit/Topic

P-7 Equations

Check quiz problems

and review of rational expressions

  •  

P-6 p.74 DP #1-77 LAST ODDS

and check all your answers also

 P-7 p.93 #1,3,9,11,13,15

Lesson Unit/Topic

·         P-7 QF and radical equations

p.93  #17-60 last odds

 

Lesson Unit/Topic

·         P-7  Table P-5

·         Quadratic formula and radical equations, completing the square, and absolute value equations

P.93 #1-135 Second odds!!!!

Start with :

#3,19,29,45,57,ETC.

Lesson Unit/Topic

·         Review and practice for test

Study for test on P-4-5-6-7-.

Lesson Unit/Topic

TEST ON P-4-5-6-7

RO P-8 and do the checkpoints

Lesson Unit/Topic

 

Check HW on P-8

·         Work packets with 5 quizzes for grades

·         Topics on quizzes: Multiply and divide fractions

·         Add and subtract fractions

·         Exponents

·         Roots

·         Percent

Finishes quiz packets for "pass in” next class.

Lesson Unit/Topic

·         Pass in 5 quizzes and correct.

Study for test TBA on P-7- P-8 and 5 quiz topic packet.

Do p.93 last oddsp.105  #5,9-12 odds,23-27 odds

Lesson Unit/Topic

 

Quiz today on P-7-P-8 and quiz questions

  •  

.Do problems on p.123 122-139 all

and p.124 #147-149

Class Topic

Assignment

Lesson Unit/Topic

Discussion of Linear Inequalities and Absolute Value Inequalities in P-9

  •  

Study for test on quiz packets and P-7 and P-8.

Lesson Unit/Topic

 

Test on quiz packets and P-7-P-8: Equations: radical and quadratic and modeling with equations

  •  

RO and do checkpoints for all of P-9

p.109-119

Lesson Unit/Topic

Continuation of Linear Inequalities and Absolute Value Inequalities

  •  

CHANGE: No Quiz Friday!!!!!!!!

Tonight study p-9 and do the first odds on p.118 #31-57(FIVE PROBLEMS!)

Lesson Unit/Topic

 

          Work on P-9

p.118 #1-57 last two odds and p.119 "The Course of Love Over Time" #99-105 application exercise from journal Psychological Review #93 p.119-135

·          FUNCTIONS!!!!!!!!!!!!!!

Chapter 1.1-1.2 Do all RO and checkpoints.

From now on ALWAYS have your calculator for class.

Lesson Unit/Topic

·         More functions, more graphs!!!

RO chapter 1.3 and do all checkpoints

Lesson Unit/Topic

·         Linear functions and slope

.RO 1.4 and do all Ckpts

Lesson Unit/Topic

·         More on slope

RO 1.5 do all checkpoints.

Lesson Unit/Topic

·         Midchapter wrap up before test

.Tonight take the midchapter check point test on p.193. DO ALL THE PROBLEMS. Test TBA

Class Topic

Assignment

Lesson Unit/Topic

·         1.1-1.5 review and beginning of 1.6 Transformations of functions

.Study for test on 1.1-1.5 Do 1.6 checkpoints ONLY UP TO PAGE 200.

Lesson Unit/Topic

 

Wrap up of 1.1-1.6 to page 200.

  •  

Study for test TBA 1.1-1.6(up to page 200)

Lesson Unit/Topic

 

Test today on 1.1-1.6 up to page 200 TBA

 

Transformations and Combinations and composites of functions

  •  

RO 1.6 p.201-205 plus section 1.7 and do all checkpoints.

Lesson Unit/Topic

Transformations and Combinations and composites of functions

·         Inverse functions

RO 1.8 do all checkpoints

Lesson Unit/Topic

·         Distance formula and midpoint formulae and circles!!!

.RO 1.9 do all checkpoints

Lesson Unit/Topic

·         Modeling with functions

RO 1.10.and do all checkpoints

Lesson Unit/Topic

·         In class practice test on Chapter P- Chapter 1 for Exam Prep

·         Completed packet will count as +5 extra credit on the exam. Pass in the day of the exam with all work shown for full credit. No late acceptances.

Have a blessed, joyful, grace-filled Christmas with your Lord and Savior and your loved ones.

Lesson Unit/Topic

Chapter P and Chapter one wrap up

  •  

.DO Chapter 1 test on p.263

Class Topic

Assignment

Lesson Unit/Topic

·         Packet discussion and all questions cleared up

Prepare for Final Exam

Lesson Unit/Topic

 

Happy New Year!

Library of Functions hand out

Domain of a function '

Range of a function p.263 Chapter 1 Test exercise in class and on the board.

 

  •  

For Homework, do p.263 #1-38 (only all problems we did not do in class.)

 

Lesson Unit/Topic

·         Chapter 2 Polynomials and Rational Functions

·         Complex numbers and the algebra of complex numbers

·         Quadratic equations with complex imaginary solutions that are imaginary numbers which are complex conjugates

Girls: READ EVERY WORD on p.265-271 and only RO in your notebook what you see as important to remember

Then: In your notebook do all the checkpoints on p.265-271

PASS IN HW due TBA: Title this 2.1 on the top sheet (there will be more assignments added and USE STYLE POINTS)

p.272 25,27,43,44,49,50,60,61-63 all,#64-70 all#73-76 all

 

Lesson Unit/Topic

·         Quadratic Functions and all the solutions processes pertaining exclusively to QF

.RO 2.2 along with all checkpoints in your notebook and for the packet due

SPC!! Title: 2.2

Problems:

p.285 4,6,16,38,44,48,52,56,57,58,59,61,63,65,72,77-82 all

Problem Packet due for PASS-IN (Count as two quiz grades)

 

Lesson Unit/Topic

Pass in double quiz grade Problem Packet is due TBA

·         More on QF

·         Investigate p.244 Example 2 and page 286 73-76all

·         Particular  transformations of Quadratic Equations which produces: THE STANDARD FORM OF A QUADRATIC FUNCTION

Do page 284 #1-56 SECOND odds in your NB

and review p.286 #73-76 all from class notes

ALSO do RO 2.3 plus checkpoints. All this is due February 3rd

 

You will be given notes on parabolas and their graphs that are not specifically in Blitzer that you are responsible for so make sure you are diligently attentive when taking class notes this week.

 

Lesson Unit/Topic

More on QF and its analysis including conic section in Chapter 9.1 page 850 Parabola as a conic section and its analysis: p.876 9.3

  •  

NOTE WELL:
IN CHAPTER 9 WE WILL USE THE STANDARD FORM FOR A QUADRATIC FUNCTION from CHAPTER 2.2 p.275 FOR OUR ANALYSIS BECAUSE IT IS THE MOST COMPREHENSIBLE: y=a(x-h)^2+k

I will show you the connection to the standard form for a parabola but using the SFQF may be easier.

RO Chapter 9.3ONLY what matches your class notes for parabolas. USE MY CLASSNOTES and do all the checkpoints PLUS p.886 #43-48 odds,#65,66,67,68,81-83 all

PACKET FOR 2.3 as pass in

p.298#19,#21,#29,#33,#41,49

 

Lesson Unit/Topic

·         2.1-2.3 wrap-up with 9.3

2.3 packet

PACKET FOR 2.3 as pass in HW 

p.298#19,#21,#29,#33,#41,49

 

 

Class Topic

Assignment

 

Lesson Unit/Topic

·         2.1-2.2 packet is due

·         2.3 HW

·         Testing date TBA on 2.1-2.3

Work on packet for 2.3 and do the following problems as practice

P.369 2.1-2.3 all odds Check your answers.

 

Lesson Unit/Topic

Pass in 2.3 packet and prepare for test TBA

  •  

HW: Study for test TBA If you pass in p.372 #1-11 with all work shown and corrected, you will receive +3 on your test You must have the packet on the test day.

 

Lesson Unit/Topic

 

Test on 2.1-2.3

  •  

RO 2.4 along with checkpoints and Do p.311 #1-33 first odds only AND #51, 52.

 

Lesson Unit/Topic

Discussion of 2.4 RO and problems and practice plus 2.5 Zeros of a polynomial plus Descartes Rule of Signs

  •  

 

RO 2.5 +checkpoints

Plus HW for a grade: p.323 #63-64, #66, 67.

 

Lesson Unit/Topic

2.5 Zeros of Polynomials wrap up and the beginnings of 2.6

Test return and corrections

Break time!

 

WINTER BREAK

 

 

Lesson Unit/Topic

Rational functions and their graphs2.6

Polynomials and Rational Inequalities (FOLLOW BLITZER'S STEPS) and Modeling Using Variation

1)RO 2.6 Rational Functions with all checkpoints 2) p.342 #1-71 first odds AND #79-84 odds

 

 

Lesson Unit/Topic

 2.7 Polynomials and Rational Inequalities

RO 2.7 checkpoints and p.354 #1-69 odds and #71-83 odds

 

 

Class Topic

Assignment

 

Lesson Unit/Topic

Snow  Day

 

TEST CORRECTIONS TBA FOR A QUIZ GRADED

Also do page 879 Checkpoint #1,#3 FOR HAND IN HW (sideways parabola)

 

2.8  Will be on the test in March TBA

 

Start extra credit packet for review on Wednesday:

p.369  Review exercises on p.369 #1-87 FIRST ODDS in each italic section CORRECTED with all work shown to support

 

Lesson Unit/Topic

Quick review of asymptotes :vertical and horizontal

 

SIDEWAYS PARABOLA needed for calculus

 Start of 2.7

2.8 Modeling Using Variation will be on the test TBA

·         Test on all notes on parabolas and 9.3 theory(2.1-2.2) (sideways parabola and concave up and down) along with 2.5-2.8

 

TEST CORRECTIONS DUE FOR A QUIZ GRADE

RO 2.7 and do all checkpoints

 

Pass in for a +3 on Test TBA  WITH all WORK SHOWN:

p.369  Review exercises on p.369 #1-87 FIRST ODDS in each italic section CORRECTED with all work shown to support

Plus Extra Credit Packet

Plus 3 so you have a +6 credit opportunity for Test TBA

 

Lesson Unit/Topic

2.7 wrap up and 2.8

  There will be a Test on parabolas right left and concave up and down as well as Chapter 2.5-2.8. Pass in +3 worksheet plus +3 test corrections

In 2.8  do all checkpoints and p.364 11-20 odds.p.372 #94-99 odds

 

Lesson Unit/Topic

2.8 Modeling Using variation

Finish up Variation problems and start:

Chapter 3: Logs and Exponential functions

Finish up packet for test

Think about the size you would want to order your t-shirt in.

 

Lesson Unit/Topic

T-shirt names and sizes on sheets of paper for pass in.

 

·         Logs and exponential functions

·         Finish up with practice for the test

3.1 p.384 #1-65 first odds TBA Study for test

 

Lesson Unit/Topic

·         Test today!!!!!

Chapter 3: Exponential and logarithmic functions RO p.375-384. Do all Copts only for this first evening of work.

 

Lesson Unit/Topic

·         Properties of Logarithms

RO 3.2 and do all ckpts as well as #81-100 odds  NO CALCULATOR.

Test corrections are due TBA for a quiz grade

 

Lesson Unit/Topic

Exponential and Log equations

  •  

RO 3.3 do all ckpts and page 407 # 37, and #1-21 odds, and #103.

Test corrections due next  class for a quiz grade

 

Lesson Unit/Topic

·         growth and decay

·         Test corrections

RO 3.4 do ckpts and p.419 #91-100 odds.

Go to your email and do the web site quiz for turn -in on Monday

 

Lesson Unit/Topic

Exponential Growth and Decay with Modeling Data

Pass in your web quiz

  •  

.p.439 3.1-3.4 first odds for every section and p.443#1-25 all

 

Class Topic

Assignment

 

Lesson Unit/Topic

·         Review for test on Chapter 3 sections 1-4

Scheduled test TBA

 

Lesson Unit/Topic

·         Test on Chapter 3 sections 1-4

.

 

RO 3.5 checkpoints only Bring your calculator, AND YOUR COMPUTER. Make sure you RO very carefully and that you do every checkpoint

 

 

Lesson Unit/Topic

finish up 3.5 Computer work and calculator regression

For the rest of Holy Week use regular math HW time for prayer time instead. See you after break!

 

Lesson Unit/Topic

·         Faculty Prayer Day

Let's keep each other in prayer this special Holy Week.

 

SPRING BREAK

 

 

Lesson Unit/Topic

·         Fab Five and a chapter 3 review

·         periodic properties

·         even odd functions

·         domain and range of trig functions

Study chapter 4.1 , RO and do all checkpoints

 

RO Chapter 4.2 and do all checkpoints.

 

 

Lesson Unit/Topic

 

More of FAB FIVE:

Isosceles right triangle and unit circle!

p.474 #81-84 all

Math modeling with sine functions

 

·         RO discussion of 4.1 and 4.2 together. Preview of 4.3 and Board practice

Fab Five notes

Make sure you understand circle symmetry and all class notes on fab five.

RO 4.3 , do all checkpoints and Exercises on p.484 1- 53 FO

HW grade in class

 

Lesson Unit/Topic

·         co functions

·         right triangle trig

·         angles of depression and elevation

Hand-in Quiz :

p.486 55-60 all . Draw pictures.

 

Lesson Unit/Topic

·         Collect quiz

·         Circle symmetry and Fab five reference angles and signs for your answers depending on the quadrant the angle is in.

·         graphs of trig functions

RO 4.4 and do all ckpts

p.499 1-93 first odds

.

 

 

Class Topic

Assignment

 

Lesson Unit/Topic

4.5 and 4.6

·         graphing all 6 trig fncs  2 ways:

·         Practice Fab five only NO Calculator

·         Calculator investigations and asymptotes

·         Class work sheet

RO 4.5 : pay special attention to ckpt 8 and 9.

Do all ckpts

RO 4.6 and do all ckpts: all graphing at once for all 6 trig functions

Make sure your worksheet from class is ready for Tuesday pass in.

 

Lesson Unit/Topic

·         Inverse trig functions that exist only for sine. cosine and tan.

·         In\verse properties andco-functions(notice classroom note trick for co-functions)

Ask yourself: Why are there only inverse functions for the restricted domains of sine, cosine, and tangent?????RO 4.7 do all checkpoints and pay SPECIAL consideration to the inverse property in the blue box on p.543

p.547 #1-63 first odds

 

 

Applications of trig functions

.RO 4.8 do all ckpts Test TBA on all of Chapter 4 including graphing the sin and cos function and tan.

 

 

Lesson Unit/Topic

·         Bearing angles and simple harmonic motion as well as frequency for an object in harmonic motion

p.557 #1-37 first odds as well as  47-56 odds

Study all the trig we have learned so far:Chapter 4.1-4.8 including fab five in preparation for a test TBA which will include 5.5 and 6.1-6.2

 

Lesson Unit/Topic

review for test on Chapter 4

In class assignment:

Read p.560-563

PLUS study tip

Do p.563 #1-128 FIRST TWO problems in each section PLUS do all of the Chapter Test on p.567

  •  

Study for test on Chapter 4 and 5.5 and 6.1-6.2date changed to 5/29 Use initial fab five handout for study reference. DO NOT MEMORIZE: Use Fab Five and circle symmetry!

Do page 567 Chapter test and check all your answers if you did not finish in class today.

Bring your Tshirts !!!!

 

.RO 5.1 and do all ckpts to get ahead

 

Lesson Unit/Topics

 

 Chapter 4 trig

.RO 5.1 and do all ckpts if not already done.

Test on 5/29  on chapter 4 and all of 5.5 and 6.1-6.2 Note date change

 

Lesson Unit/Topic

TEST on all of 4 and 5.5,6.1-6.2 TBA

RO 5.5 (Yes... 5.5)Solving trig equations VERY IMPORTANT

Do all ckpts and p.619 # 1-85 first odds

 

.

 

Lesson Unit/Topic

In class discussion of important segments of 5.2 and 5.3 and 5.4 that need to be known

·         In class: p.620 97-116 odds

·         Section 6.1-6.2 Law of sines and Law of cosines

·         Review of all of Chpater 4 and 5.5

RO 6.1-6.2 and do all ckpts.

Study for exam on all of Chapter 4 and 5.5 and 6.1-6.2

 

 

Lesson Unit/Topic

 

Exam on all of Chapter 4 and 5.1-5.2-5.3 5.5,6.1-6.2 and of course Fab Five

 all of 6.1-6.2  plus discussion of solving trig equations using particular and general solutions.

ALL PACKET WORK IS DUE FRIDAY> BE READY TO SHOW ALL WORK FOR FULL POINTS>

Practice Test for exam points on Chapter 4,5.5-6.2 inclusive

Practice Test Equals:

p.563-567 #1-127 first odds

p.624 #50-69 odds

p.705

#1-21 odds

p.623 #1-31 odds

All corrected work due on day of exam for +5 bonus points.

 

 

 

Lesson Unit/Topic

Solving trig equations once again  using fab five .Board review of topics on the exam especially those not yet tested.

MAKE SURE YOU KNOW 5.5 SOLVING TRIG EQUATIONS.... AT LEAST 20 POINTS OF YOUR EXAM WILL BE ON THAT TOPIC.

Practice Test due on day of exam on Chapter 4,5.5-6.2 inclusive

Practice Test Equals:

p.563-567 #1-127 first odds

p.624 #50-69 odds

p.705

#1-21 odds

p.623 #1-31 odds

All work due on day of exam for +5 bonus points.

 

Class Topic

Assignment

 

Lesson Unit/Topic

·         Practice Test on 4-5.5,6.1-6.2 inclusive and review for final exam

Prepare for Final Exam. STUDY EVERYTHING CAREFULLY... THIS EXAM IS 20% OF YOUR SEMESTER GRADE.

Bring practice test to final exam for +5 bonus. All work must be shown and all corrections made. Label your work.

Practice Test Equals:

p.563-567 #1-127 first odds

p.624 50-69 odds

p.705

#1-21 odds

p.623 #1-31 odds

 

Happy Summer!!!!!