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Mathematics Department

Mission

In the curriculum there is a great emphasis on the fact that mathematics is not only a subject of counting, calculating, drawing and measuring techniques but is a whole which includes ways of thinking and reasoning.

In the portion of math that requires observation and experimentation, students should realize that it is preferable for a specific truth to be revealed as a more generalized idea.

Students should be made aware that we live in a rapidly changing and improving world and in this respect both mathematics and mathematicians play vital roles through inventions and improvements in industrial fields .

It should be made clear that teachers lead and help the students, with various abilities and individual differences. The teachers help the students to learn how to learn by letting them examine examples, investigate and develop strategies, share these with their peers, and then solve the problems.

Objectives of the Math Program:

  • 1. to deepen and strengthen numerical and computational concepts
  • 2. to give definite and clear ideas about the relations between time, space and numbers
  • 3. to give ideas and strategies to solve daily life problems; to grasp the properties of the objects related to shapes, size and functions
  • 4. to ensure the use of knowledge, technology and skills in problem solving, daily life situations and applications in other disciplines
  • 5. to impart the following ways of thinking: analyzing, deductive and inductive reasoning, generalizing
  • 6. to improve critical thinking by:
    • a) observation, investigation and criticism
    • b) representing given information in schematic form
    • c) being organized
    • d) expressing ideas clearly and effectively
  • 7. to contribute to the formation of scientific knowledge by :
    • a) motivating enthusiasm for investigation
    • b) being unbiased
    • c) not being prejudiced
    • d) sharing knowledge
  • 8. to introduce certain computer programs in teaching math
  • 9. to understand that mathematics needs other forms of communication like mathematical terminology and symbols
  • 10. to prepare students for the very challenging university exam

 

Objectives

The targets of the Mathematics Department are to ensure that the students:

  • Acquire fundamental knowledge on mathematics, which is an ever-developing discipline,
  • Learn the basic rules and principles of mathematics which will help them in the disciplines that they choose to study in higher education,
  • Learn some simplified axioms in a certain sequence, acquire the skills for using logic rules to prove theories and thus show that correct thinking can be developed with an axiomatic order.
  • Discern the existence of various axiom systems and spaces through geometry rules and models,
  • Develop an understanding of how modern algebra is structured and the specifics of vectors within the algebra structure,
  • Acquire the skills required for advanced mathematics and science studies by learning about the development and details of the concept of numbers,
  • Scrutinize the link between the geometric structure in universe and the numbers to show the effects of numbers on mathematical structure,
  • Develop a clear understanding of the concept of functions and reinforce their knowledge by recognizing the use of this concept in modern mathematics,
  • Create mathematical models from the problems in physical universe; develop and use these models in solving a variety of other problems,
  • Use effectively the knowledge, techniques and skills that they acquire in mathematics courses in solving problems, in their everyday lives and in other subjects,
  • Develop the skills of
    • Conducting analyses,
    • Making judgments based on deduction,
    • Making judgments based on induction,
    • Making generalizations,
  • Increase the efficiency of their thinking by:
    • Doing investigation, research and criticism,
    • Expressing what they have learned in the form of diagrams,
    • Being organized, careful and committed,
    • Expressing what they have learned clearly and precisely,
  • Develop scientific thinking by being:
    • Inquisitive,
    • Impartial,
    • Unprejudiced,
    • Open minded,
    • Willing to support dissemination of knowledge.

     

CULTURAL POLICY

OUR GRADUATES WILL:

  • 1. be aware of the historical development of mathematics and how it is used in everyday life
  • 2. be able to use mathematical language appropriately to express themselves
  • 3. keep track of technological developments and scientific innovations
  • 4. be familiar with renowned mathematicians
  • 5. have understood the application of mathematics to other sciences
  • 6. have knowledge on the facilities which are important in terms of the relationship between Mathematics-Geography-Astronomy, and on other scientifically significant sites (eg. Tuzla Naval Academy Planetarium, Istanbul University’s Astronomy and Space Sciences Department, Experimental Science Center, Koç Museum, TÜBİTAK National Observatory)
  • 7. keep track of the articles, magazines and websites pertaining to mathematics in the libraries and on the Internet
  • 8. have developed an understanding of the relationship between mathematics, arts and architecture
  • 9. keep track of technological developments and scientific innovations
  • 10. have knowledge on the history, mission, world-wide activities and awards of TÜBİTAK (Turkish Scientific and Technical Research Council)
  • 11. be informed about NASA’s function and structure
  • 12. keep abreast of and participate in international Mathematics projects
  • 13. keep track of newly introduced mathematics software and different programs
  • 14. be aware of the use of mathematics in various occupations

Grades 6-7-8 Curriculum

The Mathematics Program which is being applied in our school aims to educate open-minded individuals equipped with basic rules and love of mathematics.Program aims the students to apply the information,skills and techniques gained to their daily lives and problem solving, make investigations and free to criticize themselves and others with the use of projects,open-ended questions,investigations and appropriate technology.

Mathematics is not a technique which simply involves calculations, measurement and drawing but is a systematic way of thinking and perceiving which encompasses all of them.

Subjects

Grade 6

Grade 7

Grade 8

  • -Mixed operations in the set of natural numbers
  • - Mixed operations in the set of rational numbers
  • -Bases
  • -Decimal Numbers
  • -LCM and GCF
  • -Basic Geometry
  • -Calculating area and volume in 2 and 3-dim objects
  • -Sets
  • -Problems
  • -Equations in one variable
  • - Mixed operations in the set of whole numbers
  • - Mixed operations in the set of real numbers
  • - Introduction to Statistics and Prabibility

 

  • -Whole numbers
  • -Rational numbers
  • -Solving equations in one variable
  • -Exponential Numbers
  • -Polynomials
  • -Line graphs
  • -Triangle and basic elements
  • -Angles in triangles
  • -Ratio-Proportion
  • -Problems(rate time,
  • work,mixture......)
  • -Quadrilaterals
  • -Symmetry
  • -Equations in two variables
  • -Coordinate Plane
  • -Circle
  • -Cylinder
  • -Inequalities
  • -Modular Arithmetics
  • -Introduction to Statistics
  • -Exponents
  • -Factoring
  • -Binomial Expansion
  • -Pascal’s Triangle
  • -Similarity in Triangles
  • -Problems involving factoring
  • -Equations with fractional
  • coefficients
  • -Irrational Numbers
  • -Pythagorean and Euclidean
  • Theorems
  • -Equations with square roots
  • -Trigonometry
  • -Graphing inequalities
  • -Analytical geometry
  • -Vectors
  • -Area and perimeter of quadrilaterals
  • -Angles and arcs in circle
  • -Permutation
  • -Probability
  • -Rigid Figures

Assessment Criteria

The students in every level of education are assessed with at least 3 written and 2 oral grades each term. Students are given common exams and each exam includes questions which involves knowledge and understanding , application, communication , reflection and evaluation types of objectives and these are assessed with MYP criteria.

Oral assessment is made by taking the following percentages into account :

  • % 10 Keeping neat materials and bringing them on time.
  • % 30 Neat and well organized homework
  • % 30 Portfolio ( Investigations, short projects....)
  • % 30 Participation

High School Curriculum

LISE I

  • Linear equations and their graphs.
  • Distance and mid-point formulas.
  • Slope of a line, parallel and perpendicular lines.
  • Writing line equations.
  • Linear functions.
  • Complex numbers.
  • Solutions of quadratic equations.
  • Discriminant (Delta)
  • Graphs of 2 nd degree equations.
  • Relation between roots and coefficients of the quadratic equations.
  • Polynomials.
  • Roots and values of polynomial equations.
  • Solving absolute value equations.
  • Absolute value inequalities.
  • Solving polynomial inequalities.
  • Graphs of linear inequalities.
  • Polynomial inequalities.
  • Rational inequalities.
  • Systems of inequalities.
  • Graphs of inequalities with two unknowns.
  • Cartesian products and their graphs.
  • Relations and their graphs.
  • Functions.
  • Inverse functions.
  • Factorisation by grouping.
  • Sum and difference of fractions.
  • Operations on Real numbers.
  • Radicals and radical equations.
  • Rational exponents.
  • Sets and set problems.
  • Divisibility.
  • Bases.
  • Operations and equations of Modular Arithmetic.
  • Binary operation.
  • GCF and LCM
  • Age, digit, motion, work, percentage, digit problems.
  • Solving equation with three unknowns.

LISE II

  • Trigonometry: Unit circle, measurement of angles (Grad, Radian, Degree), principle angle.
  • Trigonometric functions: Trigonometric values of Sin, Cos, Tan, Cot 30 o, 45 o, 60 o.
  • Trigonometric identities.
  • Trigonometric table.
  • Graphs, periods and frequencies of trigonometric functions.
  • Inverse trigonometric functions, Arcsinx, Arccosx.
  • Trigonometric formulas.
  • Trigonometric equations.
  • Complex numbers.
  • Operations on Complex numbers.
  • Absolute value of a complex number.
  • Distance between two complex numbers.
  • Geometric representation of complex numbers.
  • Polar form of a complex number.
  • Roots and powers of a complex number.
  • Logarithm.
  • Logarithmic functions.
  • Logarithmic equations.
  • Logarithm table.
  • Anti- Logarithm.
  • Permutation.
  • Combination.
  • Probability.
  • Induction.
  • Sequences and series.

 

LISE III

  • Definition of a function.
  • Kinds of functions.
  • Absolute value function.
  • Sign function.
  • Greatest integer function.
  • Piece wise function.
  • Definition and properties of limit.
  • Left and right limits.
  • Techniques for finding limits.
  • Limits of functions.
  • Indeterminate forms.
  • Limits of trigonometric functions.
  • Continuity.
  • Properties of continuous functions.
  • Removing discontinuity…..
  • Definition of derivative.
  • Geometric meaning of derivative.
  • Relation between derivative and continuity.
  • Rules for derivative.
  • Derivatives of functions.
  • Chain rule.
  • Derivatives of trigonometric functions.
  • Derivatives of inverse trigonometric functions.
  • Derivatives of parametric functions.
  • Applications of derivative.
  • Maximum, minimum values and inflection points.
  • Drawing graphs.
  • L’Hospital Rule.
  • Definition of integral.
  • Rules for integral.
  • Definite and indefinite integrals.
  • Mean Value Theorem.
  • Calculating areas using integral.
  • Derivatives and integrals of logarithmic functions.

 

 

Use of Technology in High School Mathematics

At the high school, technology is an integral part of every course. The teachers strive to use the TI-83 calculator to enliven the study of higher mathematics. The intricate details of graphs, for example, can be compared efficiently to make generalizations about mathematical behavior and the use of mathematical rules. Application problems and data analysis can take a more prominent role in the classroom due to the ease of complex calculations. Thus the emphasis can be put more on the analysis aspect of the problems if desired. The students gain both the traditional problem-solving skills as well as extensive experience with technology that can aid and add to these skills.  

IB MYP/DP

The IB program was established internationally in 1968 in order to establish a common curriculum and rigorous university entry credential for students moving from one country to another.  It is an internationally respected program whose aims are in line with those of Eyüboglu Egitim Kurumlari.  The Eyüboglu math programs integrate both the Turkish National Curriculum and the Middle Years Program (MYP)/International Baccalaureate (IB) standards.  The National Curriculum topics are covered but with different teaching methods than were previously used.

In the MYP, communication, holistic education, and intercultural awareness are emphasized while the five areas of interaction are integrated into the lessons, making links between the different topics being studied.  All math classes, grades orta through grade 10, are taught according to these standards.

In the DP, at the end of Lise 1, students must decide whether they want to be involved in this program.  They can choose between Science Track of the DP and Math Track of the DP and families are given sufficient time and information in the spring to make this decision.  Both an IB exam and portfolios (investigations, extensive problem solving, and modeling) are required at the end of the Lise 3 year.  The topics covered in the IBDP curriculum are the same as the Turkish National Curriculum except that the IBDP contains more probability and statistics. 

For more information, log onto www.ibo.org   

 

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