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© 21 st Century Math Projects Person Puzzle Family of Functions with Transformations Name ___________________________________________ Date ________________________ Maria Montessori Maria Tecla Artemisia Montessori (1870 –1952) was an Italian physician and educator best known for the philosophy of education that bears her name, and her writing on scientific pedagogy. Her educational method is in use today in some public and private schools throughout the world. DIRECTIONS: () is a transformation of (). Identify the transformation. The word or phrase next to the equivalent set of answers will complete the statement correctly. 1. = ! . What transformation gives ? Montessori was born in _________, Italy. a. = 1 Chiaravalle b. = 1 Milan c. = + 1 Rome 2. = ! . What transformation gives ? She graduated from the University of Rome despite the hostility from others because of her ____________. a. = + 2 age b. = + 2 gender c. = 2 race 3. = ! . What transformation gives ? Upon her graduation, Montessori worked with children with _________. a. = ( 1) disabilities b. = ( + 1) economic challenges c. = 1 high aptitude 4. = ! . What transformation gives ? She travelled around to promote ___________ and education for disabled children. a. = ( 2) antibullying b. = 2 tolerance c. = ( + 2) women’s right 5. = . What transformation gives ? Montessori was appointed the codirector of ______ School which train teachers to educate children with special needs. a. = + 2 1 Bioinformatic b. = ( + 2) + 1 Orthophrenic c. = 2 1 Personalization 6. = . What transformation gives ? In 1906, Montessori started applying her teaching with mentally normal children aged _______. a. = () + 1 two to seven b. = + 1 five to twelve c. = 1 eight to sixteen 7. = . What transformation gives ? In 1909, Montessori held the first _________ in Italy. a. = + 1 2 Kindergarten b. = + 1 + 2 school c. = 1 2 teacher training 8. = . What transformation gives ? By 1912, Montessori schools had opened in many Western European cities and planned for Asian countries like China, Japan and _______. a. = 1 2 Indonesia b. = + 1 2 Korea c. = + 1 + 2 Thailand
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Page 1: Person Puzzle - Family of Functions with Transformations ... · Microsoft Word - Person Puzzle - Family of Functions with Transformations - Maria Montessori.docx Created Date: 20170401155106Z

© 21st Century Math Projects

Person Puzzle Family of Functions with Transformations

Name ___________________________________________ Date ________________________

Maria Montessori

 

Maria  Tecla  Artemisia  Montessori  (1870  –1952)  was  an  Italian  physician  and  educator  best  known  for   the  philosophy  of  education   that  bears  her  name,  and   her  writing   on   scientific   pedagogy.  Her   educational  method   is   in   use  today  in  some  public  and  private  schools  throughout  the  world.  

DIRECTIONS: 𝑔(𝑥)  is  a  transformation  of  𝑓(𝑥).   Identify  the  transformation.  The  word  or  phrase  next  to  the  equivalent  set  of  answers  will  complete  the  statement  correctly.  

1. 𝑓 𝑥 = 𝑥!. What transformation gives 𝑔 𝑥 ?  Montessori  was  born  in  _________,  Italy.    a.   𝑔 𝑥 = 𝑓 𝑥 − 1   Chiaravalle  b.   𝑔 𝑥 = 𝑓 𝑥 − 1   Milan  c.   𝑔 𝑥 = 𝑓 𝑥 + 1   Rome  

 

2. 𝑓 𝑥 = 𝑥!. What transformation gives 𝑔 𝑥 ?  She  graduated   from   the   University   of   Rome  despite   the   hostility   from   others   because   of  her  ____________.  a.   𝑔 𝑥 = 𝑓 𝑥 + 2   age  b.   𝑔 𝑥 = 𝑓 𝑥 + 2   gender  c.   𝑔 𝑥 = 𝑓 𝑥 − 2   race  

3. 𝑓 𝑥 = 𝑥!. What transformation gives 𝑔 𝑥 ?  Upon  her  graduation,  Montessori  worked  with  children  with  _________.    a.   𝑔 𝑥 = 𝑓(𝑥 − 1)   disabilities  b.   𝑔 𝑥 = 𝑓(𝑥 + 1)   economic  challenges  c.   𝑔 𝑥 = 𝑓 𝑥 − 1   high  aptitude  

4. 𝑓 𝑥 = 𝑥!. What transformation gives 𝑔 𝑥 ?  She  travelled  around  to  promote  ___________  and  education  for  disabled  children.    a.   𝑔 𝑥 = 𝑓(𝑥 − 2)   anti-­‐‑bullying    b.   𝑔 𝑥 = 𝑓 𝑥 − 2   tolerance    c.   𝑔 𝑥 = 𝑓(𝑥 + 2)   women’s  right    

5. 𝑓 𝑥 = 𝑥. What transformation gives 𝑔 𝑥 ?  Montessori   was   appointed   the   co-­‐‑director   of  ______  School  which   train   teachers   to  educate  children  with  special  needs.    a.   𝑔 𝑥 = 𝑓 𝑥 + 2 − 1   Bioinformatic    b.   𝑔 𝑥 = 𝑓(𝑥 + 2) + 1   Orthophrenic    c.   𝑔 𝑥 = 𝑓 𝑥 − 2 − 1   Personalization    

6. 𝑓 𝑥 = 𝑥. What transformation gives 𝑔 𝑥 ?  In   1906,   Montessori   started   applying   her  teaching  with  mentally  normal  children  aged  _______.  a.   𝑔 𝑥 = 𝑓(−𝑥) + 1   two  to  seven  

b.   𝑔 𝑥 = −𝑓 𝑥 + 1   five  to  twelve  

c.   𝑔 𝑥 = 𝑓 −𝑥 − 1   eight  to  sixteen  

7. 𝑓 𝑥 = 𝑥. What transformation gives 𝑔 𝑥 ?  In  1909,  Montessori  held  the  first  _________  in  Italy.  a.   𝑔 𝑥 = 𝑓 𝑥 + 1 − 2   Kindergarten    b.   𝑔 𝑥 = 𝑓 𝑥 + 1 + 2   school    c.   𝑔 𝑥 = 𝑓 𝑥 − 1 − 2   teacher  training    

8. 𝑓 𝑥 = 𝑥. What transformation gives 𝑔 𝑥 ?  By   1912,   Montessori   schools   had   opened   in  many   Western   European   cities   and   planned  for   Asian   countries   like   China,   Japan   and  _______.    

a.   𝑔 𝑥 = 𝑓 𝑥 − 1 − 2   Indonesia  b.   𝑔 𝑥 = 𝑓 𝑥 + 1 − 2   Korea  c.   𝑔 𝑥 = 𝑓 𝑥 + 1 + 2   Thailand  

Page 2: Person Puzzle - Family of Functions with Transformations ... · Microsoft Word - Person Puzzle - Family of Functions with Transformations - Maria Montessori.docx Created Date: 20170401155106Z

© 21st Century Math Projects

Show Your Work

1. 𝑓 𝑥 = 𝑥! What transformation

gives 𝑔 𝑥 ?  

2. 𝑓 𝑥 = 𝑥! What transformation

gives 𝑔 𝑥 ?  

3. 𝑓 𝑥 = 𝑥! What transformation

gives 𝑔 𝑥 ?  

4. 𝑓 𝑥 = 𝑥! What transformation

gives 𝑔 𝑥 ?  

Maria

Montessori

5. 𝑓 𝑥 = 𝑥 What transformation

gives 𝑔 𝑥 ?  

6. 𝑓 𝑥 = 𝑥 What transformation

gives 𝑔 𝑥 ?  

7. 𝑓 𝑥 = 𝑥 What transformation

gives 𝑔 𝑥 ?  

8. 𝑓 𝑥 = 𝑥 What transformation

gives 𝑔 𝑥 ?  

Page 3: Person Puzzle - Family of Functions with Transformations ... · Microsoft Word - Person Puzzle - Family of Functions with Transformations - Maria Montessori.docx Created Date: 20170401155106Z

© 21st Century Math Projects

Person Puzzle Family of Functions with Transformations

Name ___________________________________________ Date ________________________

Maria Montessori

 

Maria  Tecla  Artemisia  Montessori  (1870  –1952)  was  an  Italian  physician  and  educator  best  known  for   the  philosophy  of  education   that  bears  her  name,  and   her  writing   on   scientific   pedagogy.  Her   educational  method   is   in   use  today  in  some  public  and  private  schools  throughout  the  world.  

DIRECTIONS: 𝑔(𝑥)  is  a  transformation  of  𝑓(𝑥).   Identify  the  transformation.  The  word  or  phrase  next  to  the  equivalent  set  of  answers  will  complete  the  statement  correctly.  

1. 𝑓 𝑥 = 𝑥!. What transformation gives 𝑔 𝑥 ?  Montessori  was  born  in  _________,  Italy.    a.   𝑔 𝑥 = 𝑓 𝑥 − 1   Chiaravalle  b.   𝑔 𝑥 = 𝑓 𝑥 − 1   Milan  c.   𝑔 𝑥 = 𝑓 𝑥 + 1   Rome  

 

2. 𝑓 𝑥 = 𝑥!. What transformation gives 𝑔 𝑥 ?  She  graduated   from   the   University   of   Rome  despite   the   hostility   from   others   because   of  her  ____________.  a.   𝑔 𝑥 = 𝑓 𝑥 + 2   age  b.   𝑔 𝑥 = 𝑓 𝑥 + 2   gender  c.   𝑔 𝑥 = 𝑓 𝑥 − 2   race  

3. 𝑓 𝑥 = 𝑥!. What transformation gives 𝑔 𝑥 ?  Upon  her  graduation,  Montessori  worked  with  children  with  _________.    a.   𝑔 𝑥 = 𝑓(𝑥 − 1)   disabilities  b.   𝑔 𝑥 = 𝑓(𝑥 + 1)   economic  challenges  c.   𝑔 𝑥 = 𝑓 𝑥 − 1   high  aptitude  

4. 𝑓 𝑥 = 𝑥!. What transformation gives 𝑔 𝑥 ?  She  travelled  around  to  promote  ___________  and  education  for  disabled  children.    a.   𝑔 𝑥 = 𝑓(𝑥 − 2)   anti-­‐‑bullying    b.   𝑔 𝑥 = 𝑓 𝑥 − 2   tolerance    c.   𝑔 𝑥 = 𝑓(𝑥 + 2)   women’s  right    

5. 𝑓 𝑥 = 𝑥. What transformation gives 𝑔 𝑥 ?  Montessori   was   appointed   the   co-­‐‑director   of  ______  School  which   train   teachers   to  educate  children  with  special  needs.    a.   𝑔 𝑥 = 𝑓 𝑥 + 2 − 1   Bioinformatic    b.   𝑔 𝑥 = 𝑓(𝑥 + 2) + 1   Orthophrenic    c.   𝑔 𝑥 = 𝑓 𝑥 − 2 − 1   Personalization    

6. 𝑓 𝑥 = 𝑥. What transformation gives 𝑔 𝑥 ?  In   1906,   Montessori   started   applying   her  teaching  with  mentally  normal  children  aged  _______.  a.   𝑔 𝑥 = 𝑓(−𝑥) + 1   two  to  seven  

b.   𝑔 𝑥 = −𝑓 𝑥 + 1   five  to  twelve  

c.   𝑔 𝑥 = 𝑓 −𝑥 − 1   eight  to  sixteen  

7. 𝑓 𝑥 = 𝑥. What transformation gives 𝑔 𝑥 ?  In  1909,  Montessori  held  the  first  _________  in  Italy.  a.   𝑔 𝑥 = 𝑓 𝑥 + 1 − 2   Kindergarten    b.   𝑔 𝑥 = 𝑓 𝑥 + 1 + 2   school    c.   𝑔 𝑥 = 𝑓 𝑥 − 1 − 2   teacher  training    

8. 𝑓 𝑥 = 𝑥. What transformation gives 𝑔 𝑥 ?  By   1912,   Montessori   schools   had   opened   in  many   Western   European   cities   and   planned  for   Asian   countries   like   China,   Japan   and  _______.    

a.   𝑔 𝑥 = 𝑓 𝑥 − 1 − 2   Indonesia  b.   𝑔 𝑥 = 𝑓 𝑥 + 1 − 2   Korea  c.   𝑔 𝑥 = 𝑓 𝑥 + 1 + 2   Thailand  


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