# IB at KIA -G5-

Everyone was happy to see each other again after the winter break. The students returned with their winter vacation homework along with many happy memories from the break. One of the homework assignments was a math research project to be submitted for the Math Olympics.

The Math Olympics is an annual event held in the school that aims to motivate children to learn math. Each class competes in their math knowledge and skills, and prizes are given for particularly excellent efforts.

This year's Math Olympics for G5 is a free research project on math. During the winter break, the students were free to choose a question based on something that interested them and conduct research to solve it using math. Then, they returned to school to present their research results to each other, and voted to decide the champion.

What the students were aware of in this study was whether sufficient mathematical knowledge and skills were used and whether there is originality in the research.

Students were first divided into groups to present the results of their research to each other, and then a representative from each group was chosen. In each group, students listened attentively to their friends' presentations with comments such as, “Wow,” “I see,” and “That's interesting.” They also asked, “How did you come up with that idea? What was the hardest part?” and, “It's amazing that you can use difficult math!” Some groups gave feedback such as, “Your research perspective is interesting!” and “It's great that you used difficult math!”

All the research was original and interesting, and the students seemed to have a difficult time deciding who would represent their group.

The representatives from each group were chosen and then it was time for the final round. The representatives from each group gathered and presented their work to the whole class. At this point, it was no surprise who won the prize. All the research was very deep and educational, and the presentations were excellent. Students listened to the presentations of the representatives from each group and voted to decide the champion.

Here are a few studies that were particularly impressive.

**“The Golden Ratio”**

In this study, I picked up fallen leaves and pasted them on a piece of construction paper to see which leaves were the most beautiful. Then, I calculated the ratio of the height and width of each fallen leaf. The ratio of the height and width of each leaf was slightly different, and each leaf had a different shape. However, the most beautiful leaf had the golden ratio of length and width (about 8:5). Incidentally, when we asked our friends at school which leaf was the most beautiful, most of them chose the leaf that had the golden ratio. With this result, we next looked into the use of the golden ratio and found out that it is applied to the Parthenon in Athens and the mark of a world-famous IT company.

**“How big is a one-dimensional man's sword?”**

In this study, I looked at how long a sword a one-dimensional man wields to fight demons when he is the size of an adult and his weapon, a needle, is also larger (longer) at the same rate. Assuming the height of an adult male to be 170cm, and assuming that one inch (about 3cm) equals 170cm, we can see that we need to multiply the length by about 56. Also, when I measured the length of the needle in my house, it was 2.88cm. Therefore, if we multiply these by 56, we find that the length of the needle when Issunboshi became an adult would be about 161 cm.

**"The Global Gender Ratio."**

Since there are many women in my family, classes, and among my relatives, etc., I wanted to find out what the gender ratio is in the world and hypothesize that there are more women in the world. When I looked up the ratio of men to women in countries around the world on the Internet and in books, I found that in Japan there are more women, but in the world there are slightly more men. I also found out that in China, India, and developing countries with large populations, there are more males, while in developed countries, there tends to be more females due to the fact that the perinatal mortality rate of females decreases due to the high level of medical care.

**“How long would it take to get to Mars in a Formula 1 race car?"**

I wanted to research how many years it would take to travel to Mars in my favorite F1 race car. I hypothesized that it would take about 1,000 years because the distance to Mars is long and it would take a long time to go around. First, I calculated the circumference of Mars, and then, assuming that the maximum speed of a Formula 1 race car is 350 km/h, I calculated the time required to reach Mars and how many years it would take to circle the planet. The result was 50 years. Although my prediction was wrong, I am glad to know that there is a possibility that I can go to Mars in my lifetime.

Through the Math Olympics, the students were able to solve their own questions and deepen their interests. Mathematics is not just something that is done in the classroom. There are many challenges in our daily lives that can be solved using math. As soon as the children finished their free research, they were already excited about their next project, saying, “I want to do this next time.” Good job G5s!