functions and their graphic representation
Introduction:
in curriculum design can be seen a constant concern that students acquire the skills needed to function as citizens able to exercise their rights and duties in a society that incorporates each operation again, its activities and its mathematical aspects languages.
academic degree: 4 semester
school students Features:
Teen
16 years
objective:
• Use mathematical knowledge to organize, interpret and act in various situations of reality.
• Understand and interpret various forms of mathematical expression and incorporate the language and modes of argumentation common. Recognize and refer
situations where there are problems that can be formulated in mathematical terms, solve and analyze results using appropriate resources.
Specific objectives:
· To reflect on their own strategies used in mathematical activities.
• Incorporate own habits and attitudes of mathematical activity.
Recognize the role of resources in their own learning.
Learning Strategies:
According to these principles, the class action plan would incorporate the following aspects:
Proposal of activities for background detection and revision of concepts and previous learning. These activities the students would work individually.
Proposed activities in real contexts for the acquisition of new knowledge. These activities will be worked individually or in groups. In addition, some of them were proposed and worked to gain the students' own strategies of mathematical activity, and have models to improve its presentation, approach and solve problems.
Sharing the work done by analyzing and discussing the concepts and materials used, difficulties encountered and the solutions adopted to circumvent.
Detailed description of the concepts in the conduct of activities by the teacher, as well as properties.
resolution of exercises and strengthening handling problems concepts.
Performance of work by the teacher or student initiative. Summary
content and group discussion.
selection and development of materials and contents.
MATERIALS:
Today, there are many materials on the market, although the educational administration in this new phase has forgotten to provide the faculty clásicas.Debemos areas distinguish between material the use of teachers in their teaching and the student must manipulate. Professor
Material:
Overhead transparencies and the corresponding activities to be presented to students. Rear Projection
Graphing Calculator. Slate
white grid or where to project the grid to represent graphs.
Material for the student: 1.5 mm grid
folio for graphical representations.
colored pens.
Rules. Computers
Calculator
CONTENTS:
- Conceptual:
Review by a set of concepts and activities of learning achieved in previous courses:
Interpretation functions using graphs, verbal descriptions, tables, mathematical formula.
growth and decline. Ends.
Continuity. Functional models
:
linear functions.
piecewise linear functions.
Quadratic Functions Exponential
inversely.
- Procedural:
Interpretation and construction of numerical tables and graphs of functions, selecting the most appropriate scales and units. Recognition
intervals of increase and decrease.
id and interpretation of the ends of a function. Identification of graphical
continuous and discontinuous functions.
Recognition and representation of the various functions studied.
Identification and significance of the various parameters in each type of function.
Recognition of the most important characteristics of the different functions. Recognition
frequency graph.
Using the calculator and computer software to calculate different values \u200b\u200band represent different functions by analyzing their differences.
- Attitudes:
appreciate the usefulness
graphic language to represent different situations.
highlight the need to choose an appropriate scale on each axis, to make graphs.
Show interest and curiosity to find the salient features of a function.
develop a critical attitude to analyze the information graphic.
stress the importance of establishing precisely the graphs to show properties and characteristics generally associated phenomena.
appreciate the help provided by new technologies for the calculation, quick view, the study and quick check of how families are different functions and how they influence their graphs the various parameters.
Learning methodology:
The methodology will encourage the student's ability to learn for themselves, work together and implement adequate and appropriate methods of investigation. Similarly emphasize the relationship of the theoretical aspects of materials and their practical applications in society.
Learning Activities: Activities
Home:
(Time: 10min)
Activities development:
(Length: 30 min)
Closing Activities:
(Duration: 5min)
activities are attached at the end
rating:
Regarding the concepts
understand, recognize and use their own scientific and technical language of the area of \u200b\u200bMathematics.
Assimilation and practical application of concepts worked.
Knowledge and use of reasoning techniques work and own the area.
understanding and explanation of the problems as a step to interpret the mathematical reality that surrounds us.
contributions and initiatives in both classroom work as a group.
With regard to the following:
Speaking
right and proper.
Correct use of mathematical symbols and knowledge of the properties at the time of operation and simplify mathematical expressions.
Organization and use of appropriate materials to work performed. Presentation
work and workbook.
techniques of intellectual work: Underline, diagrams, conceptual maps ...
Synthesis and analysis of results.
Finding and using information sources.
and problem-solving approach.
Systematization.
formulation and hypothesis testing.
autonomy in learning.
Regarding attitudes:
care and class participation. Housekeeping
in the works. Care
materials.
interest and curiosity about mathematics.
Respect and tolerance for others.
instruments used to assess:
in her classroom observation: Working
classroom.
Debates.
Questions and exercises on the blackboard.
approach and problem analysis.
Student Notebook: Homework
.
diagrams, summaries, expression.
approach and problem analysis.
Objective evidence and individual or group work: Presentation
Reasoning Operation Procedures
ANNEX:
http://www.scribd.com/doc/17520887/Actividades-a-Realizar
teaching unit developed by: Lizet Lazalde Estela Martínez. Instituto La Salle Chihuahua . Level: High. See Chihuahua. July 2009.
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