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Learning Scenario
Trigonometric functions
Last updated 10/04/2014, by Tatjana Stankovic
Language(s):
Domain: ICT>Using ICT, Mathematics>Analysis>Real Analysis>Graphical Representation of Function
Learning objectivesCognitive - Knowledge:
Conceptual
Procedural
Cognitive - Process:
To remember
To understand
To apply
To think critically and creatively
Affective:
To pay attention
To respond and participate
Psychomotor:
To imitate and try
To perform confidentially following instructions
To perform independently, skillfully and precisely
To adapt and perform creatively
Grade & Age16-17
16-17
Grade: secondary education
Keywords/subjecttrigonometry, function, GeoGebra, ETE blog
trigonometrija, funkcija, GeoGebra, ETE blog
Prerequisites concept of function, function's graph and characteristics
pojam funkcije, grafik i osobine funkcije
Difficulty Levelmedium
Duration2 Hours & 15 Minutes
Assessment strategyNot assessed
Learning environmentComputer-based, Lecture-based, Video
Teaching approachBehaviourist: Programmed instruction
Cognitivist: Collaborative learning, Inquiry learning, Problem – based, Reciprocal teaching
Constructivist: Cognitive apprenticeship, Socratic instruction, Experiential learning, Action research
Author(s)Name: Tatjana Stankovc Organization: Electrical Engineering School „Nikola Tesla“, Pancevo Role: teacher
Name: Ljiljana Djuretanovic Organization: Technical School „23.Maj“, Pancevo Role: teacher
Name: Nada Rankovic Organization: Economic and Trade School „Paja Marganovic“, Pancevo Role: teacher
Description/ main idea

Learning and practice of trigonometric functions and their application in different classes in different contexts.


Usvajanje i uvezbavanje trigonometrijskih funkcija i njihove primene na razlicitim casovima u razlicitim kontekstima.


Trigonometric functions (lesson 1)

Video lesson on trigonometric functions and their applications - a homework assignment, pupils use the information from the teachers' blog (http://eteblog.wordpress.com/linkovi/) to prepare so that they could present a given function to other pupils. Pupils are divided into 4 groups.

Trigonometrijske funkcije (1.cas)

Video lekcija o trigonometrijskim funkcijama i njihovim primenama - domaci zadatak, ucenici koriste informacije sa bloga nastavnika (http://eteblog.wordpress.com/linkovi/ ) kako bi se pripremili da prezentuju zadatu funkciju drugim ucenicima. Ucenici su podeljeni u 4 grupe.

Each group presents given trigonometric function to other groups in the classroom.
Svaka grupa prezentuje na casu zadatu trigonometrijsku funkciju ostalim ucenicima.

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Trigonometric functions (lesson 2)

Divided into four groups, pupils plot graphs of trigonometric functions using GeoGebra . Each group examines the flow and characteristics of a given function using its graph and then each group presents its observations and conclusions.

Trigonometrijske funkcije (2.cas)

Podeljeni u 4 grupe ucenici uz pomoc GeoGebre crtaju grafike trigonometrijskih funkcija. Svaka grupa na osnovu grafika ispituje tok i osobine jedne zadate funkcije, a potom prezentuje svoja opazanja i zakljucake do kojih su dosli.

Graphing a given function by using GeoGebra
Crtanje grafika date funkcije uz pomoc GeoGebre

No content has been added for this activity.

Examination of a flow of a given function based on its graphics
Ispitivanje toka date funkcije na osnovu grafika

No content has been added for this activity.

Discussion and conclusions
Diskusija i zakljucci

No content has been added for this activity.

Trigonometric functions (lesson 3)

Pupils plot graphs of functions y = asin (bx + c) and y = acos (bx + c) using GeoGebra and examine their flow. After that they present their conclusions.

Trigonometrijske funkcije (3.cas)

Ucenici crtaju grafike funkcija oblika y=asin(bx+c) i y=acos(bx+c) pomocu GeoGebre i ispituju njihov tok. Nakon toga prezentuju svoje zakljucke.

Graphing function y = asin (bx + c) and y = acos (bx + c) using GeoGebra
Crtanje grafika funkcije oblika y=asin(bx+c) i y=acos(bx+c) pomocu GeoGebre

No content has been added for this activity.

Examination of the flow function y = asin (bx + c) and y = acos (bx + c) based on resulting graphics
Ispitivanje toka funkcija oblika y=asin(bx+c) i y=acos(bx+c) na osnovu dobijenog grafika

No content has been added for this activity.

Discussion and conclusions
Diskusija i zakljucci

No content has been added for this activity.