Math Reflection

I’m in 7th grade math class with my tutor class and the teacher is Mr. Fedley (tutor). During this year, we learned a lot of topics and some of them is, algebra, statistics, 2D shapes/angles, and ratios. I think I did well on algebra and I enjoyed it too.

You could see some of the activities we did from here:

http://blogs.yis.ac.jp/19saitom/category/math-7/

I enjoyed the Marine Tower activity the most. I found ratio the most challenging this semester. I would like to focus on word problems the most next year for math.

Statistics- Data Collection

Today in math class, we started working on statistics. We had to collect 20 pieces of data and I chose to use the favorite numbers of people. We asked 20 people and got data. Then, we had to get the mean, median, mode and range. These are the numbers we got:

Screen Shot 2014-05-21 at 9.59.17 AM

 

Screen Shot 2014-05-21 at 9.59.25 AM

 

To get the mean, median, mode and range, I re-wrote the numbers in order.

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I got the mean by adding all the numbers, and then dividing it by 20.

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The mean is 10.85. For the median, I added the two middle values and divided the answer by 2 because there is an even number of values.

Screen Shot 2014-05-21 at 10.16.05 AM

The median is 7.5. For the mode, I counted how many each numbers were said. The mode is 4 and 7. For the range, I subtracted the smallest number from the biggest number. So I did  36-2=34 and the range is 34.

It means that the average of these numbers is 10.85, the number in the middle (when it’s in order) is 7.5, the numbers that were most popular were 4 and 7, and the difference between the smallest number and the biggest number is 34.

This is the graph for the results.

Screen Shot 2014-05-21 at 10.24.17 AM

 

 

Using Ratios To Estimate Sizes

Today in math class, we worked on ratios. We took a picture of 2 objects and then estimated the ratio between the two of them. The object we used was a box of crackers and a locker. We measured one of the objects which was the box and it was 19 cm.

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✻This is the pic we took

The estimated ratio is 1:4.5. (box:locker)

My estimate of the length of the locker is 90cm (19×4=76, 19÷2=9.5, 76+9.5=85.5).

When we measured it, it was 90.2cm. I guess it’s close enough! 😀

 

 

Explaining Ratio

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What’s a Ratio??

A ratio is comparing a number to another.

We could use ratio in real life. For example, we could compare the people who are right-handed and left-handed. Let’s say that we ask 10 people if they are right-handed or left-handed, and 7 people say they are right-handed and 3 people say they are left-handed. If we want to show how many people are right-handed out of the 10 people, the ratio would be 7:3.

Photo on 1-27-14 at 12.21 PM

 

In class we did an activity which uses ratio. We had to go around the school and find 4 different ratios by taking pictures of different classrooms such as japanese class, science class, 7th grade tutor class. Then we had to compare the number of classes to the other number of classes.

There were 4 science rooms, 6 japanese rooms, 3 7th grade tutor classes, and 2 spanish classrooms.

If we make a ratio of the number of science rooms and japanese rooms, it would be: 4:6 or 2:3. If we make a ratio of the number of 7th grade tutor classes and spanish classrooms, it would be: 3:2

Any problems?

We didn’t really have problems with finding and explaining ratios.

Tips for ratios

When you simplify the ratios, it is the same as fraction. For example if you want to simplify 3:9, you can think of it as 3/9 and simplify to 1/3 and change it to 1:3.

 

 

 

 

My Reflection of Semester 1 Math

In the first semester, I learnt some things in Math. One of the things I learned was how to use the spreadsheet and get the hypotenuse. I also learned how to get other answers(like squares, cubes, so on…). Also in math, we learned about Marine Tower. For example, I learned that Marine Tower is 106m, and it was built in 1961. Also we learned the distances between Marine Tower and other landmarks. Casino game was one of the things I learned too. I learned what it was like to play casino games, and strategies on how to get more tokens.

During math in the first semester, I mostly enjoyed going to the Marine Tower. I haven’t been there for a long time so so I was glad to go there again. Also, Mr. Fedley bought us icecream so it was really nice 🙂 It was also halloween that day so I went there with my costume and it was fun.

I didn’t really like the math video. I didn’t really like it because it was hard to make the story and connect with the Venn Diagram. But I liked working with my partner.:)

The work I was most proud of was the test which I got the highest marks. And that was the test about squares. I think I did a good job and I’m happy about it.

In the second semester, I want to learn more things and participate in disccusions. To achieve that, I will listen to the teacher carefully and share my ideas. Also I want to improve on percentages.

Mr Fedley Is Forcing Us To Write A Percentage Blog Post

Percentage

A percentage is a way of writing “out of 100”. For example 40% is the same as 40 out of 100. We could change a percentage to a fraction or a decimal too. For example, if it’s 30%, we could change it to 30/100 or 0.3.

Percentage is used in a lot of ways. Of course it is used in math but also in our life. For example in supermarkets and grocery stores, sometimes things can be in a sale. It could be 50% off, or maybe more or less. They write it as a percentage instead of price because then they could use it for more than one thing. To see how much it is cheaper we multiply the percentage to that price.

Q1) Let’s say the pizza was 50% off and it was $10. For this example it would be like this:

When I multiplied 50/100 to 10 it became 5 so that means $5 is 50% of $10. So it means the pizza is $5 cheaper than the original price.

Q2) Next, let’s say that my friend said that she ate 30% of my 20 cookies and I wanted to know how much she ate. Then it would be like this:

When I multiplied 30% (30/100) to 20 (total number of cookies) it became 6. This means that 6 is 30% of 20 so my friend ate 6 cookies.

 

Marine Tower

Last week we went to the Marine Tower in Math class and found out the distance between the landmark,

Before going up the tower, we estimated the distance. My estimate was…

  • Mount Fuji- 300km
  • The Motomachi Arch- 2km
  • The top of Tokyo Skytree- 150km
  • The top of Yokohama Ferris Wheel- 30km
  • Yokohama Stadium- 20km
  • YCAC- 35 km
  • YIS- 15km
  • The Horizon- 100km
Some Basic information we found about Marine Tower:
Q. When was the tower built?
A. 1961
Q. How tall is the tower from the ground to its highest point?
A. 106m
Q. How high above the ground is each of the observation decks?
A. 100m
At Marine Tower, we found out the distances between some landmarks and also the difference between our estimate.
  • Mount Fuji- 84km, difference: 216km
  • Motomachi Arch- 1.2km, difference: 0.8 km
  • Tokyo Skytree- 32km, difference: 118km
  • Tokyo Tower- 25km
  • Yokohama Stadium- 900m, difference: 1100m
  • Kaze-no Tower- 17.5km
  • Foreign Cemetery- 500m
  • Negishi Shinrin Park- 2.5km
  • Kamiooka- 6.3km
  • Higashi-Totsuka- 8.5km
  • Minatomirai- 2km
  • Red Brick House- 1.2km
  • Osanbashi terminal- 900m
From the given information, I would change my original estimates to:
  • YIS- 1.5km
  • YCAC- 3km
  • The Horizon- 150km
  • The top of Yokohama Ferris Wheel- 2.1km
I had fun going to the Marine Tower with the class and I discovered a lot of things. Also, it was fun when Mr. Fedley bought us icecream. 🙂
http://bit.ly/1cD7fqH

 

 

Casino Game Activity

On Tuesday morning, we did an activity in the auditorium which the 8th grade prepared for 6th grade and 7th grade. First we got 15 tokens each and tried to get more using the tokens we got. There were quite a lot of games and it was fun 🙂 I liked the game “Lucky Red” because the winning possibility was high. We also got pocky. The class that got most tokens got to get prizes and that was us, 7B!

The games I played was… I don’t really remember the name of the games I played but I just remember the game “Lucky Red” 🙂

When I played the games, it was fun but also nervous of losing. When I got more tokens, I was happy and got excited and when I lost some tokens I was sad.

I don’t really know if I made profit or not because I didn’t count them but I think I didn’t make profit because at the first, I played games that were hard to win and I lost tokens.

I learned that I have to use my brain and think carefully when I play Casino Games. It was harder than I thought and the results depends on “luck”. I enjoyed it a lot and I want to try doing it again.

Math Video!

In math class we (my friend and I) made a video using Venn Diagrams. Ours was about which sports 7th grade girls like to do. The choices were volleyball, swimming, and tennis.

Here is the video we made, and we hope you enjoy it!:)

Venn Diagram #2

I made a Venn Diagram of clothes shop that 7B likes. The results mean that quite a lot of people like all of the choices which are Hollister, H&M, and Abercrombie&Fitch but also there are quite a lot of people who doesn’t really like all of the choices. Also, H&M is the most popular shop, then Hollister and Abercrombie & Fitch. Hollister and Abercrombie & Fitch had the same number of people who liked it. I didn’t have much problems but it was a little hard when people didn’t know these shops. I thought it was interesting where Hollister and Abercrombie & Fitch had the same number of people and also, H&M which is my favorite shop was the most popular one 🙂