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Simply
Put


Math Like This

Song:

Chorus
           
         I never knew there was a 
         Math like this before
         Never had someone to show me math
              Math like this before 

 Verse 1
          I’m glad that Petro showed  me
               How to graph equations so I can see
           That finding rational zeros can be easy
           Polynomials were such a boo hoo
          Until Petro showed me how to
          Using the rational root theorem was what I had to do
           And that’s why I say

              Chorus
Verse 2
          The leading coefficient is An
          The number with the highest exponent
          Ao’s the number with no variable     yeah, yeah (2x)
           Factors of Ao are all in P 
           Those of An are in q you see
           + or – p over q are possible zeros
           So now I hope you understand
             Chorus
Hatch match – ch.4 vocabulary
Match  the vocabulary terms in Column A to their correct definitions in Column B.
  
Column a                                                                   column b
Root                                                                          A. an inequality of the form          
                                                                                       Y >ax + bx +c
Complex number                                                      B. any number that can be    
                                                                                       Written in the form in the 
                                                                                       Form a+bi
Degree                                                                       C. a solution of the equation              
                                                                                       P(x)=0

Polynomial equation                                                  D. a shortcut for dividing a   
                                                                                         Polynomial by a binomial   
 Zero                                                                           E. the variable with the                  
                                                                                        Greatest exponent 

Quadratic inequality                                                   F. a value of x for which   
                                                                                        f(x)=0

Synthetic division                                                       G. a polynomial that is set  
                                                                                         equal to zero

Discriminant                                                                H. the express under the        
                                                                                          radical sign in the               
                                                                                          quadratic formula


Who am I ?
Write the proper term  to the following descriptions in the space provided. 


I’m  the formula  x = -b +   b – 4ac / 2a, that  gives  the  roots  of  the  quadratic  equation  of  the  form  ax + bx +c ,  with  a = 0.  Don’t you know  me  by  now ?  I’m  none  other  than  the_________________________________



My name  seems  a  lot  more  complicated  than  I  really  am.  I  provide  a  means  for  dramatically  lowering  the  number  of  rational  values  that  you  might  test  to  find  rational  roots  of  a  polynomial  equation  with  integral  coefficients.  My formula  is + or – P over q.  I’m  the  notorious  _______________ _______ ___________



I am  in  the  family  of  complex  numbers.  That is ,  combined  with  my  sibling ,  Real  numbers.  I can  often  be  the  root  of  a  polynomial  function.  My definition  is  the  form  of  a + bi  where  b is not  equal  to zero  and the  imaginary  unit is i.  I’m  simply an__________________________



I’m  in the  quadratic  formula .  Actually,  I’m  the  expression  under  the radical  sign  expressed  as  b – 4ac.  I  am  the _____________________ , the  one  who  tells  the  nature  of  the  roots  of  the  quadratic equation.
           
       







MR.  RADIAN            



There you go again ,  Mr. Radian!
Constantly making my head spin!
Always making  me switch from degrees  just for you to your best,
Then almost always making me fail a test!

There you go again ,  Mr. Radian!
When I’m using you, I don’t seem to win!
“ What’s the sine of  90 ?”, you consistently ask !
Maybe it’s because you know I’ll barely pass!

There you go again ,  Mr. Radian!
You really make it hard for me to contend!
“ The tangent of  180 is 0!”, you say
But that’s okay because I’m gonna beat you today!!

Here I come again ,  Mr. Radian!
To quit now would be a sin!
So I’ll try and try , getting help from my friend
Until I have My VICTORY in the end!!!!

Trig Is Your Life!
Find the hidden terms in the puzzle.

SMLANOITARZKAP
      FZEROGPHOJLMQI
      CDWLCTDSEAITUP
      ERIVXLYFNMCBOT
NTBSJZSIAI JLHN
TEKOCTMGTZYDUE
      RNGZHRICVNRANM
      AIWPENIOOPOIEG
LSMTAUTMIXOBOS
      AOORXNIPIKTJFS
NCYSJATLWNZCPX
      GVDKLQRELEAKGL
LBXCUSOXBNINQB
EWNAIDARUIZLTZ
ZSECTORVYSXDRO

COMPLEX                                                  RADIAN
DISCRIMINANT                                        COSINE 
IMAGINARY                                              COTERMINAL
POLYNOMIAL                                           CENRAL ANGLE
RATIONAL                                                 SECTOR 
ROOT                                                           SEGMENT
ZERO



ANGLE  MANGLE  TANGLE

Match the congruent values.
 



















Hatch  match – ch. 5 vocabulary

Match the vocabulary terms in Column A to their correct definitions in Column B.

Column A                                                column b
Radian                                                                   A. the triangular law expressed as                                                                 
                                                                                    a=b+c-2ab cos B
Angle of Depression                                              B. the triangular law expressed as
                                                                                    A / sin a=b / sin b= c / sin c
Linear  Velocity                                                     C. distance traveled per unit time

Law of Cosines                                                      D. the change in the central angle   
                                                                                    with respect to time as an                
                                                                                    object moves along a circular  
Law of Sines                                                               path 

Central  Angle                                                         E. the angle between a                  
                                                                                     horizontal line and the line of          
                                                                                     sight from the observer to an      
Coterminal Angles                                                       object at a lower level

Angular Velocity                                                     F. two  angles in standard  
                                                                                     positions  that have the same         
                                                                                     terminal side  
                                                                                 G. the measure of a central 
                                                                                      angle whose sides intercept       
                                                                                      an arc that  is the same length                     
                                                                                      as the radius of the center
                                                                                  H. an angle whose vertex lies at  
                                                                                       the center of a circle
Mines  Of  Sines

Make your way through the Sine Mines to Petro’s Classroom, going only through sines that equal either 1 or 0.






















Table of contents
Math Like This   
Mr. Radian
Trig Is Your Life!
Angle Mangle Tangle
Mines  Of  Sines
Hatch Match Chapter 4
Hatch Match Chapter 5 
Who Am I ?
Corrected Quiz Problems: Chapter 4, Quiz B
Answer  keys




Corrected problems:
Chapter 4, Quiz B
Problems 1 & 3 









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