Maths: Circles

For the past two weeks for Maths we have been learning about circles and compasses.
A compass is a device in which you use to draw a circle and this is what it looks like
For the next week looked at Maori and Polynesian design. We had to create our own designs my first one was just using a compass and isn't really a cultural design.












The next two are of my brainstorms for my final idea.

The final one is my final design:

Design Process of a new Classroom Layout

Yesterday at school we moved into our new buildings. These buildings took about a year to build and it was quite worth the wait. There are three new blocks. My class had to move 3 classes and I had to move into one extra class for Japanese. I didn't actually help move but lets not get into that. Our math's teacher told us to create a design process to make a new classroom layout.

Research:

For the research we looked up images of effective classroom layouts and this is what came up.

We like this desk layout because everyone can see the teacher and the teacher can see everyone clearly. There is enough space in the room for this layout. Everyone will be able to  see the board clearly and the TV clearly. Everyone is close and if you need help you can ask them.

We also like this idea of a classroom layout because everyone is close and it is easy to communicate. The teacher can speak quietly and not yell because the kids can actually hear the teacher and he can make the naughty kids sit up near the front.

Ideas:

Our Ideas with the layout the things we wanted it to include features like it being spacious. We wanted all the desks to be facing the TV and one of the Whiteboards so our teacher could explain to us and we could follow along.

Final Idea

We liked this layout because we felt it was the best for our class. It is spacious and the layout around the back is good so we can all see a Whiteboard and the TV. Video Explaining:

Overall I liked this project because I felt my class really got into it and had a good time.

How to find all angles and all sides

Today in Maths I have been working on explaining how to the the Maths calculation of How to find all angles and all sides. This question was based on the test our class had to the day prior to making this post. Hope you enjoy this post,

S              C               T
O/H          A/H           O/A
We are using sign because we are given the Opposite and the Hypotenuse.

Sin = OPP/HYP
Sin = 12/17
Which means we dived 12 by 17=0.7058
Then on the calculator we press (shift, sin) which now means sin-1 when we put 0.7058 in we get an answer of 44.894. This means the first angle is 44.894 degrees.



               

To find angle number we know that all angles in a triangle equal 180 we have two angles already discovered which are 90 degrees(because it's a right angle) and the angle we discovered just before 44.894. We can add 90 degrees+44.894 which = 134.894 degrees. Then we do 180 degrees - 134.894 degrees= 45.106 which means the angle number two equals 45.106 degrees.

Now we need to find the length of the final side, side B. To find length of side B we can can use a^2 + b^2 = c^2. 12^2 + b^2 = 17^2, 144 + b^2 = 289. Change side change sign. 289-144= 145. Square root of 145 = 12.04=Side B.














Angle Check:
90 + 44.894 + 45.106= 180
All angles are correct.

Side Check:
12^2 + 12.04^2=17^2
144 + 145 = 289.
All sides are correct.