UNIVERSITÀ DEGLI STUDI DI CATANIACorso di perfezionamento per l’insegnamento di

discipline non linguistiche in lingua straniera secondo metodologia CLIL

Corso n. 2 Discipline Scientifiche

A flipped lesson about A flipped lesson about ““Introduction to functions”Introduction to functions”

byby Maria Rosa Di MarcoMaria Rosa Di Marco

A flipped lesson about “Introduction to A flipped lesson about “Introduction to functions”: lesson planfunctions”: lesson plan

SubjectSubject: Maths: Maths ContentContent: Functions: Functions Title of activityTitle of activity: Introductions to Functions: Introductions to Functions ClassClass: III “Liceo Linguistico” o “Liceo Scientifico”: III “Liceo Linguistico” o “Liceo Scientifico” LanguageLanguage: Switching from English to Italian and viceversa: Switching from English to Italian and viceversa Time estimateTime estimate::

Home: 30 minutesHome: 30 minutes Class: 50 minutesClass: 50 minutes

ObjectivesObjectives:: students will learn the definition of a function, domain, students will learn the definition of a function, domain,

and rangeand range students will use the definitions of function, domain and students will use the definitions of function, domain and

range to solve exercises range to solve exercises

A flipped lesson about “Introduction to A flipped lesson about “Introduction to functions”: lesson planfunctions”: lesson plan

Elements of Bloom’ taxonomy that are Elements of Bloom’ taxonomy that are touched upon with this lesson:touched upon with this lesson: Remembering Remembering UnderstandingUnderstanding Applying Applying Creating Creating

A flipped lesson about “Introduction to A flipped lesson about “Introduction to functions”: lesson planfunctions”: lesson plan

Marzano’s strategies that are used in this Marzano’s strategies that are used in this lesson:lesson: Summarizing and note takingSummarizing and note taking Identifying similarities and differencesIdentifying similarities and differences Homework and practiceHomework and practice Cooperative learningCooperative learning

A flipped lesson about “Introduction to A flipped lesson about “Introduction to functions”: lesson planfunctions”: lesson plan

Materials needed for students at home:Materials needed for students at home: Internet access to watch videosInternet access to watch videos

Materials needed for teacher at school:Materials needed for teacher at school: computer computer projectorprojector Internet accessInternet access LIM LIM

The three steps of the flipped The three steps of the flipped classroomclassroom

Description of activityDescription of activityAt schoolAt school

Step 1: IntroductionStep 1: Introduction andand bbrainstormingrainstorming

AAfter a brief fter a brief introduction of the introduction of the activity and its activity and its objectives, objectives, teacher asks each teacher asks each students one word students one word linked to linked to "functions" topic "functions" topic that they know. that they know.

Description of activity Description of activity At homeAt home

Step 2: Flipped homework assignmentStep 2: Flipped homework assignment Teacher ask students to Teacher ask students to watchwatch the the

following videosfollowing videos::• https://www.khanacademy.org/math/alhttps://www.khanacademy.org/math/al

gebra/algebra-functions/domain_and_gebra/algebra-functions/domain_and_range/v/domain-and-range-of-a-functirange/v/domain-and-range-of-a-function?v=O0uUVH8dRiUon?v=O0uUVH8dRiU

• http://www.youtube.com/watch?http://www.youtube.com/watch?v=vO5qqfsWzhcv=vO5qqfsWzhc

Description of activity Description of activity At homeAt home

Step 2: Flipped homework assignmentStep 2: Flipped homework assignment

Teacher ask students to Teacher ask students to consultconsult the website:the website:

http://www.purplemath.com/modules/fcns.htmhttp://www.purplemath.com/modules/fcns.htm

http://www.purplemath.com/modules/fcns2.htmhttp://www.purplemath.com/modules/fcns2.htm

Description of activity Description of activity At homeAt home

Step 2: Flipped homework assignmentStep 2: Flipped homework assignment

Teacher ask students to Teacher ask students to dodo the following the following things:things: search for other videos about the topicsearch for other videos about the topic note the keywords and the most important note the keywords and the most important

sentences from the videos and websitessentences from the videos and websites

In classIn class

Step 3: follow-up activity in classStep 3: follow-up activity in classStudentsStudents

Students divided in groups Students divided in groups of 4 discuss the videos and of 4 discuss the videos and websites watched at home, websites watched at home, compare and share the compare and share the material product and material product and researched on Webresearched on Web

Students in group solve Students in group solve exercises, realize a mind exercises, realize a mind mapmap

Once the teacher has seen Once the teacher has seen that students have that students have completed work correctly, completed work correctly, each one must solve three each one must solve three more exercise individuallymore exercise individually

In classIn class

Step 3: follow-up activity in classStep 3: follow-up activity in class

TeacherTeacher The teacher explains how The teacher explains how

to solve some exercises, to solve some exercises, observes, gives observes, gives assistance if it is needed, assistance if it is needed, solves doubtssolves doubts

The teacher evaluate The teacher evaluate student’s individual student’s individual exercises to determinate exercises to determinate if students understood the if students understood the activity activity

Exercises:Exercises:

some examplessome examples

ExercisesExercises ((from from http://www.mp.hawhamburg.de/pers/Vassilevskaya/download/precalculus/functions/domain-2.pdf)http://www.mp.hawhamburg.de/pers/Vassilevskaya/download/precalculus/functions/domain-2.pdf)

Determine domain and range of the following functions:

Exercise 1: xxgxxf 2,2

Exercise 2:

4,4 22 xxgxxf

Exercise 3:

2, xxgxxf

Solution exerciseSolution exercise 1 1

Solution exercise 2Solution exercise 2

Solution exercise 3Solution exercise 3

Other exercisesOther exercises

Matching Matching Fill in the gapFill in the gap Crossword Crossword Domino and puzzle Domino and puzzle

Mind mapMind map

Students will create a mind mapStudents will create a mind map A A simple way to create mind maps simple way to create mind maps

online is the following:online is the following:

Click here:Click here:

https://www.text2mindmap.comhttps://www.text2mindmap.com//