How to find the area of a triangle

 For the last few weeks in math, we have been learning how to find the area of a triangle. Here is a slide show that we made to help people understand how to find the area of a triangle.

Biology Osmosis

Today in Biology we started an experiment on Osmosis. Osmosis is a type of diffusion that uses water movement to make the solution Isotonic (even out the concentration). For the experiment, we had to put two spoons of sugar in a beaker with 150ml of water. We had to do this three times one had salt another had sugar and one just had water.

Hypertonic - High

Hypotonic - Low

Isotonic - Equal

Gummy Bear in Water: I think that this gummy bear is going to get the biggest because there is nothing in the water and it will be easy for the gummy bear to absorb the water.

Gummy Bear in Salt Water: I think that this gummy bear is going to get smaller because the salt does not dissolve the same as sugar which means that with all the salt mixed in the water the gummy bear won't be able to absorb much if any water.   

Gummy Bear in Sugar Water: I think that the gummy bear in the sugar water is going to get a little bit bigger but not a lot because since there is sugar in the water it won't be able to absorb all of the water.

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Next Day

Gummy Bear in Water: The gummy bear is bigger than it was yesterday but it did not get as big as I thought it would get.it also broke a little bit bit. This means that the gummy bear is hypertonic to the water because the water was able to get in the gummy bear.

Gummy Bear in Sugar: I was right that this gummy bear would get bigger but I thought it would be smaller than the water gummy bear but it actually became the biggest gummy bear. This gummy bear is also hypertonic to the sugar water because it was able to absorb a lot of the liquid. 

Gummy Bear in Salt: I was somewhat correct with my guess on how the gummy bear would react because it did not get bigger but it did not shrink either. This means that the gummy bear was hypotonic to the saltwater solution and was not able to absorb any of the liquid.

Maths: How to Label Triangles

There are a couple of rules around how to label a triangle and the main ones are around using capital and lower case letters. You do not use this rule with a RAT (right angle triangle) because you only have one of each letter on those triangles.

• The first rule is that when labeling a triangle all of the angles on the inside of the triangle must be a capital letter. 
• All of the letters that stand for the length of the sides of triangles must be labeled with a lower case letter.
• You can not have the same letter next to each other. usually, the letters will be opposite each other.  

You use these rules because when you are doing an equation having two lower case letters can get confusing because you don't know what one you are talking about.

The Curious Incident of the Dog in the Night-time

 For the last term, my class has been reading a book called The Curious Incident of the Dog in the Night-time. We had some questions to answer before we read the book like what we thought the book is about. Now we are answering questions about how we thought the book was.

• What were your thoughts after reading the ending? What do you think will happen to Christopher?

Comparing what he was like at the start of the book to the end of the book I think that there was a really big difference in the way that he acts. At the start, he was scared to go out by himself and he would not do a lot of stuff. After he had been to his mother's place and then moved back to do his A-level math test a lot had changed because he went on a train by himself and when he was away he had to cope with a lot of things that he didn't like. I think that Christopher will go on to get a career that involves some sort of maths because he is very smart and even though he is still scared of a lot of things he has overcome them once so I think he would be able to overcome them again. 

• What was your favorite funny moment from the novel? 

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• Look at the following statement and decided whether you agree or disagree with it. Explain your answer.  "The Novel is funny because we are laughing at Christopher".

I disagree with this statement because I don't think we were laughing directly at Christopher maybe some of the things he did were funny but I did not think that there were many things Christopher did to make you laugh at him. 

• Did you find this novel sad?

I did not find this book very sad but there were a couple of sad moments throughout the book. There were two main points in the book that I found sad and they were when Christopher found out that his father had killed the neighbor's dog and that his mother was still alive but his father was hiding all of the letters that she was sending.

• What do you think Mark Haddon is saying about why there are so many different reactions to the book? What was your response to the book?

I think that the way he has written the book made it so that people can have mixed feelings about it because of the different ways that people think. This means that some people think some parts are happy and other people think they are sad but what he is trying to say is a lot of parts in the book can both be happy and sad moments it just depends on how you see it. 

• In what way do you think the book appeals to teenagers?
• In what way do you think the book appeals to adults?
• Some people have said that the book is not very suitable for teenagers because it contains a lot of swearing and because it deals with a depressing matter. Do you agree? why?

I think that these questions can also relate back to how different people feel about the story because teenagers might see the story a lot differently from an adult. Teenagers will most likely understand how Christopher is feeling more than adults but adults might understand more about the parents than teenagers do.

I think that this book is suitable for older teenagers around the age of 14 and up because of all of the swearing and some of the things that happen in the book. 

• Why do you think that Mark Haddon chose to write the story from a first-person point of view?

I think that he has written the novel like this so that people can understand what it is like for Christopher and understand how he is feeling all the time.

• How has he tried to overcome some of the disadvantages?

I think that he did a really good job at handling some of the disadvantages he had throughout the story. Since he does not like being around a lot of people when he was on the train he found a place very quiet and sat there do the number game in his head to keep him distracted from evderything else around him.

Maths Triangles

 Triangle Facts

• The sum of all the internal angles of a triangle is always 180o no matter how the triangle is constructed.

• The length of any side of a triangle is shorter than the sum of the other two sides.

• A triangle can always be split into two right triangles no matter how the triangle is constructed.

 

Different triangles

Acute triangle

All of the angles are less than 90o.

Obtuse triangle

one of the angles is greater than 90o.

Equilateral triangle

A triangle is called an equilateral triangle when all 3 sides are equal in length. These are normally 60o

Isosceles triangle

A triangle is called an isosceles triangle when two sides are equal in length

Scalene triangle

When all three internal angles are different from one another it is a Scalene Triangle.

Trigonometry study of math origins dates back to the ancient Egyptians. 

Unknown Sides

Unknown Angles

Maths: Indices with positive and negative numbers

For the past week in math, we have been learning about multiplying positive and negative numbers as well as learning what indices are. 

When you are multiplying and at least one of the numbers are negative you are going to get a negative. If you have two positives you are obviously going to get a positive number but if you multiply a negative by a negative number you are going to get a positive. 

What are Indices?

An indices is a small number that you will see sitting above another number. When you see indices this means that you will multiply the number it is above by itself that many times. An example of this is if you had 3^2 you would times 3 by itself twice so 3x3 which would be 9. But if you have -3^2 you would multiply -3x-3 which would give you a positive. If you have got an even number as your indices like 4 even if you have a positive and a negative you are going to end up with a positive number. This is because if you multiply a negative by a negative you get a positive and if you are multiplying a number multiple times it is going to switch between positive and negative answers. All you need to know is if the indices are even it is going to be a positive number and if the indices are odd you are going to end if a negative number. This will only work if you have got one negative in the equation if you have all positives it will always be a positive answer.