## Thursday, 17 August 2017

### September Math Newsletter

Dear Grade 12 IB HL students and parents,

I hope you had a very nice Summer break and students are ready for a long difficult year.

My name is Mr Bill and I will be Grade 12 Math IB HL teacher this year. I have been teaching Math for 17 years and last 6 years I have been in HJIS community. I am very happy to be here and I am planning to work here as much as I can. I am married with 3 children and live around the school. In the first week of every month, I will try to write in the blogs and give you information about what we are doing in the class.    In Grade 12, we split  the class into two main classes; IB HL  and IB SL Math Studies. I teach IB Math HL and Mr Tepe teaches IB SL Math Studies

HL Topics

1. Sequences , Series and Binomials

1. Arithmetic and Geometric sequences
2. Series
3. Sum of finite series and infinite geometric series
3. Sigma notation
4. Mathematical Induction
5. Counting Principal
6. Factorial
7. Permutation and Combination

8. The Binomial Theorem
9. Expansion
10. Calculation of binomial coefficients using Pascal’s triangle and C(n,r)

2. Functions and graphs

1. Concept of function and function notations
2. Domain, range; image
3. Special functions
l  Even-Odd Function
l  Absolute Value functions
l  Piecewise function
l  Radical Functions
l  Rational functions and asymptotes
4. Classification Of functions
l  Many-to-one Functions
l  One-to-One Functions
l  Even-Odd Functions
5. Composite functions
6. Identity Function, inverse function f-1
7. Transformation of functions

3. Complex Numbers, Quadratics and Polynomials

1. Roots of Quadratic Equation
2. Sum and Product of roots
3. Modulus of Complex Numbers
4. Operation of Complex Numbers
5. Powers and roots of Complex numbers
6. Polynomial Functions
7. Horner’s Way
8. Zero of Polynomial functions
9. Sum and Product of roots
10. Polynomial Equations and Inequalities
11. System of Equations

4. Derivative and its applications

1. Limit notation
2. Continuity and Discontinuity
3. Limit rules
4. Rate of change and Derivatives
5. Tangent and normal lines and their equations
6. Basic rules of derivative
7. Chain rule
8. Higher derivative
8. Application of first and second derivative
9. Kinematics
10. Optimization
11. Derivatives of Implicit Functions

5. Logarithm and Exponential Functions

1. Basic exponential and logarithmic rules
2. Laws of exponents
3. Laws of logarithm
4. Changing the base of a logarithm
5. Derivatives of Exponential and Logarithmic  F.
6. Arc, Area, Sector, Radians

6. Statistics and Probability

1. Concepts of population, sample, random sample, discrete and continuous data, frequency table and histogram.
2. Grouped  data and modal class
3. Concepts of mean, median and mode
4. Cumulative frequency
5. Variance and Standard Deviation
6. Concepts of probability words; trial, outcome, event and sample space
7. Complementary event and using Venn diagram
8. Experimental Probability
8. Conditional and independent events
9. Bayes’ Theorem

7. Integral

1. Indefinite integral as anti-derivative
2. Basic rules of integral
3. integration by inspection
4. Anti-derivative with a boundary condition
5. Definite integrals analytically and using technology
6. Areas and volumes

8. Trigonometry

1. Right-angled triangle Trigonometry
2. Trigonometric functions and Unit Circle
3. Trigonometric Ratios
4. Identities for trigonometric functions
5. Compound Angle Identities
6. Double angle identities
7. Composition of functions, graphs and transformation of graphs.
8. Inverse of Trigonometric Functions
9. Trigonometric equations
10. Sine and Cosine theorem
11. Area of a triangle

9. The Power of Calculus

1. Derivatives of Trigonometric Functions
2. Derivatives of Inverse Trigonometric Func
3. Rate of change of Trigonometric Functions
4. Integral of Trigonometric Functions
5. Integral by Substitution
6. Integration by parts (LAPTE)
7. Trigonometric Substitution
8. Application with Trigonometric Functions
9. Areas and volumes with Trigonometric Functions

10. Distributions

1. Discrete random variables and distributions
2. Binomial distributions
3. Poisson distributions
4. Continuous random distributions
5. Normal distributions
6. Modeling and problem solving

11. Vectors

1. Displacement vectors in two and three dimensions
2. Sum and difference of two vectors
3. Magnitude of a vector
4. Unit and base vectors
5. Position vectors
6. Scalar vector(dot product) of two vectors
7. Angle between two  vectors
8. Vector equations
9. Vector Product
10. Vectors and equations of planes
11. Angle between a line and a plane
12. Intersection of planes

12. Complex and Polar Form

1. Complex number as a vector
2. Complex plane and polar form
3. Modulus and argument of a complex number
4. Operation with Modulus-Argument form
5. Powers and roots of CN, De Moivre’s Thm

13. ONE OF THE OPTION TOPICS

•  CALCULUS
•  SETS THEORY
•  STATISTIC  AND PROBABILITY
•  DISCRETE MATHEMATICS

Now, I want to explain some important issues and procedures in my classroom.

1. IB Test:

IB is a-two-years-program. This year May, they will take the IB test. Since our students has covered most of the topics, they can have a good stating this year.We have a good atmosphere here and they like to help each other which is very good for IB.

2. Jupiter:

Our school use the Jupiter grading system as you know. I will post my Homework, grading and behavior situation on Jupiter. I may write emails via Jupiter as well.

3. Grading scale and Homework:

In my Math class, my grading scale is given below:

Unit Test             :  35%
Term Test            :  30%
Homework           :  20%
Quiz-Project        :  15%

After I finish one of the major subject, I will give a unit test about the topic. It will not only measure them how much they could learn the topic but also it will be a good review about the topic.

After term, we have only one term test. It is gonna be taken in one of the last weeks of each term. In this test, I will ask questions about all subject that they cover within that term. Only the last term has a different situation. In that test, I will ask question from all over the year's topics. So they should remember all of the subjects.

Homework is one the most important issues that help student understand and solve questions easily. They have HW almost after every math class. In addition, I will give them some big projects that will be done with a group or individually .

4. Notebook:

Notebook is very important for Secondary Math Classes. It is important that they keep the notes very neatly to have review later. To organize and write whole year's topics, they need a big A4 size square grid notebook. I definitely don't want them to use a small notebook and then they change their notebooks very frequently.

They can buy a notebook themsleves from a stationary or internet. Otherwise our school buy ASKUL notebooks as you see in the picture. It is 400 yen and students can but it any time from me.

5. Calculator:

Graphic Design Calculator (GDC) is a compulsory item in IB math.It is strongly recommended that they should buy TI-84 Plus C model. There are many different prices on internet. I kindly advice you to use following web site to search and buy:

www.amazon.com
www.amazon.co.jp
www.ebay.com

5. Textbook:  In the classroom, we will follow Oxford Publishing Math IB HL Textbook and I will print out the pages and hand out the students. So they can study the topics at home in advance. But I think students may need another resource to make practice and study subjects.

For SL students, I can provide the materials and textbook for the Oxford book which is on the left. Then Students should buy the Cambridge one to study individually which is on the right.

For HL students, I will provide Oxford , I strongly recommend you buy The Cambridge one.

You can check and buy the books in the following links:

Oxford

Cambridge

Important Note:

You can find and download  the solutions of the Oxford books' exercises in the following web sites:

www.oxfordsecondary.co.uk/ibmathhl

I hope  we will have a satisfied and fulfilled year together with your kids. I know their passion on learning new areas. I am looking forward to teaching your children In IB curriculum.

If you have any questions, please feel free to contact to me.

Thank you very much.

Have a nice day.