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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


Show Your Work

1. 𝑓 𝑥 = 𝑥! What transformation

gives 𝑔 𝑥 ?


gives 𝑔 𝑥 ?


gives 𝑔 𝑥 ?


gives 𝑔 𝑥 ?

Maria

Montessori

5. 𝑓 𝑥 = 𝑥 What transformation

gives 𝑔 𝑥 ?


gives 𝑔 𝑥 ?


gives 𝑔 𝑥 ?


gives 𝑔 𝑥 ?


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