## Saturday, July 20, 2013

### MAA MathFest

A Joint Meeting with the Canadian Society for the History & Philosophy of Mathematics (CSHPM)
Hartford, CT

MAA MathFest 2013 will be held at the Connecticut Convention Center and Hartford Marriott Downtown in Hartford, Connecticut. There will be a complimentary Grand Opening Reception on the evening of Wednesday, July 31, and the mathematical sessions will take place from Thursday, August 1 through Saturday, August 3.

- See more at: http://www.maa.org/meetings/mathfest#sthash.OZHlftIY.dpuf

# 5 July 2013. Over 127,000 students worldwide are today receiving their results from the May 2013 IB Diploma Programme examination session.

Jeffrey Beard, Director General of the International Baccalaureate, says: “I would like to congratulate all students on their great achievements. Today’s IB diploma graduates can be confident that they possess the skills needed to excel in an increasingly international world, with students uniquely poised for success both at university and beyond. I wish every individual the very best and look forward to hearing of their accomplishments through our global network of IB alumni.”

## Friday, July 5, 2013

### IB Maths Revision Notes - IB Mathematics HL, SL, Studies Revision Notes by www.IBmaths4u.com

IB Maths Revision Notes - IB Mathematics HL, SL, Studies Revision Notes by www.IBmaths4u.com

Complex Numbers for IB Mathematics HL
http://www.ibmaths4u.com/ComplexNumbers.pdf

Mathematical Induction for IB Mathematics HL
http://www.ibmaths4u.com/Mathematical%20Induction.pdf

Trigonometry for IB Mathematics HL
http://www.ibmaths4u.com/Trigonometry.pdf

Sequences-Series and Binomial Theorem for IB Mathematics HL
http://www.ibmaths4u.com/Sequences%20Series%20and%20Binomial%20Theorem.pdf

Exponential and Logarithmic Functions for IB Mathematics HL
http://www.ibmaths4u.com/Exponential%20and%20Logarithmic%20function.pdf

Differentiation for IB Mathematics HL
http://www.ibmaths4u.com/Differentiation.pdf

Integration for IB Mathematics HL
http://www.ibmaths4u.com/Integration.pdf

Applications of Integration and Differential Equations for IB Mathematics HL
http://www.ibmaths4u.com/Applications%20of%20Integration%20and%20Differential%20equations.pdf

Probability, Set Theory and Counting Principles for IB Mathematics HL
http://www.ibmaths4u.com/Probability%20and%20Set%20Theory.pdf

## Saturday, April 20, 2013

### Normal distribution

Continuous Probability Distributions, Normal Distribution - IB Maths HL

How can we find the standard deviation of the weight of a population of cats which is found to be normally distributed with mean 2.1 Kg and the 60% of the dogs weigh at least 1.9 Kg.

IB Mathematics HL – Continuous Probability Distribution, Normal Distribution

A normal distribution is a continuous probability distribution for a random variable X. The graph of a normal distribution is called the normal curve. A normal distribution has the following properties.
1. The mean, median, and mode are equal.
2. The normal curve is bell shaped and is symmetric about the mean.
3. The total are under the normal curve is equal to one.
4. The normal curve approaches, but never touches, the x-axis as it extends farther and farther away from the mean.

Approximately 68% of the area under the normal curve is between $\mu - \sigma$ and $\mu + \sigma$
and . Approximately 95% of the area under the normal curve is between $\mu - 2 \sigma$ and $\mu +2 \sigma$. Approximately 99.7% of the area under the normal curve is between $\mu - 3 \sigma$ and $\mu + 3 \sigma$

The standard normal distribution is a normal probability distribution that has a mean of 0 and a standard deviation of 1.
$Z\sim N(0, 1 ^2)$

Let the random variable $C$ denotes the weight of the cats, so that

$C\sim N(2.1, \sigma ^2)$

We know that $P(C \geq 1.9)=0.6$

Since we don’t know the standard deviation, we cannot use the inverse normal. Therefore we have to transform the random variable $C$ to that of

$Z\sim N(0,1)$ , using the transformation $Z= \frac{C- \mu}{\sigma}$

we have the following

$P(C \geq 1.9)=0.6 \Rightarrow P(\frac{C- 2.1}{\sigma} \geq \frac{1.9- 2.1}{\sigma})=0.6$

$\Rightarrow P(Z \geq \frac{-0.2}{\sigma})=0.6$

Using GDC Casio fx-9860G SD

Setting Tail: right
Area: 0.6
$\sigma$:1
$\mu$:0

We find that the standardized value is -0.2533471

Therefore,

$\frac{-0.2}{\sigma}=-0.2533471\Rightarrow \sigma=\frac{-0.2}{-0.2533471}=0.789 (3 s.f.)$

### UW Summit on K-12 Science Education - 22 May 2013

MAY 22, 2013 - 3pm & 7pm (two 75-minute sessions with receptions afterward)
LOCATION: UW Tower Auditorium
A new set of ambitious learning goals for K-12 science and engineering education is outlined in theNational Research Council Framework for K-12 Science Education and the associated Next Generation Science Standards . The UW Institute for Science + Math Education will host two public events to provide an overview of this new vision. A panel will highlight unique features of this new vision, present instructional examples from formal and informal education, discuss equity issues, and describe strategies for best supporting implementation.

## Saturday, April 13, 2013

### IB Mathematics Standard Level Textbook

The only DP resources developed with the IB
With more practice than any other resource, unrivalled guidance straight from the IB and the most comprehensive and correct syllabus coverage, this student book will set your learners up to excel. The only resource developed with the IB curriculum team, it fully captures the IB philosophy and integrates the most in-depth assessment support.
Features
• Full syllabus coverage - the truest match to the IB syllabus, written with the IB to exactly match IB specifications
• Free eBook - a complete interactive eBook is included for free, for the most flexible learning
• Complete worked solutions - a full set of worked solutions is included online, in addition to interactive worked solutions on CD, which take learners through problems step-by-step
• The most practice - more practice than any other resource, with over 700 pages and an eBook
• Up-to-date GDC support - take the confusion out of GDC use and help students focus on the theory
• Definitive assessment preparation - exam-style papers and questions will build confidence
• The Exploration - supported by a full chapter, to guide you through this new component
• Real world approach - connect mathematics with human behaviour, language, morality and more.

## Class Structure and Schedule:

• Small classes of up to 10 students
• Classes begin at 08:30 and conclude at 18:00
• Breaks for coffee at 10:30 and lunch at 13:00
• A total of 17.5 hours with your teacher per subject over 2.5 days
• 2 hours of set private study each evening
• Teachers available for questions after class
You study one subject at a time on the OSC IBDP Spring Revision Courses – both in class and for private study.
This enables you to focus entirely on that subject without other distractions.
There are 7 courses running back-to-back over 17.5 days, plus a Half-Day course – see Dates for details.
You can take up to 7 consecutive courses, starting or ending at any point in the cycle – you can also take one or more courses, have a break, and come back for a later course.