Week 23

This week we did a lot of stuff: we started our German stuff on this app called Duolingo, it is a very good app and it makes learning German way more fun ; I made some Lemon Curd, which turned out very well ; we made a YouTube video and did some editing so that was a bit of IT ; we did a book review and a presentation on a Horrible Histories book, mine was on the Celts ; we had a look on a website where you can research jobs, I still haven’t chosen one yet and we went to the skatepark to do some filming.

that was most of the stuff we did these couple of days, we aren’t really doing much of the stuff out of the books but now all were doing is the fun stuff.

Maths from now on

As the title says maths is going to be a bit different from now on, there are no more theory things but now all were doing are maths tests so there aren’t really going to be many posts on maths. I’m not doing very well at those maths tests aswell.

Subjects

You have probably noticed that I haven’t done any posts in a while, that’s because we have sort finished all the subjects we were doing at the start of the year but now were doing more creative stuff.

Me and my brother Peter have started a YouTube channel and have published a video and will hopefully publish more videos, We are also going to do a bit more art because we haven’t done much over the past couple of months and other stuff like that.

Here is the link to our YouTube video: https://youtu.be/f4yV2BnAjSE

Week 22 Friday Science

In science we talked about gravity, the sun, stars, days and the four seasons. Gravity is a force that attracts all masses, gravity gives you weight not mass, mass never changes and is just how much ‘stuff’ is in an object, weight is a force measured in newtons and changes due to the pull of gravity, Here is the important formula: weight = mass x gravitational field strength  ( which is 10 N on earth ).

The sun is the centre of our solar system

  1. a planet is something which orbits around a star
  2. the Sun is a star, the Earth is one of eight planets which orbit the sun
  3. the Sun is really huge and has a big mass, so it’s gravity is really strong, the pull from the Sun’s gravity is what keeps all the planets in their orbits
  4. the planets all move in elliptical orbits
  5. planets don’t give out light but the Sun and other stars do
  6. the Sun gives out a massive amount of energy which is transferred by light

A galaxy is a large collection of stars, our galaxy is the Milky Way,  the Universe is made up of billions of galaxies. A light year is a unit of distance for measuring very long distances, 1 light year is 9.5 million million km, which means it takes the light from that star 1 year to get to our planet.

Day and night are due to the steady rotation of the Earth, the seasons are caused by the earth’s tilt.

I have already learned all of this so this was just a bit of revision.

Week 22 Friday Maths

On Friday in maths we talked about locus ( plural loci ). A locus is just a line that shows all the points that fit in with a given rule.

  1. the locus of points which are “A fixed distance from a given point”, this locus is a circle
  2. the locus of points which are “A fixed distance from a given line”, this locus is an oval shape
  3. the locus of points which are “Equidistant from two given lines”, this locus is actually an angle bisector
  4. the locus of points which are “Equidistant from two given points”, the locus is actually the perpendicular bisector of the line joining the two points

That’s all we did in maths but now were going to start doing all the tests.

 

Week 22 Thursday Maths

This is also two days worth of maths, we did: the four transformations ; Pythagoras’ theorem ; bearings ; trigonometry. Translation: the translation vector, how far it’s moved along the x-axis and how far it’s moved up or down the y-axis ; enlargement: the scale factor and the centre of enlargement or two things you need to know ; rotation: you need to know these things, angle turned, direction turned, centre of rotation ; reflection: you need to know where the mirror line is. Pythagoras’ theorem is this: A squared + B squared =H squared, it can only be used on right-angle triangles, here are the three steps:

  1. square the two numbers that you are given
  2. to find the longest side, add them and to find the shorter side, subtract them.
  3. take the square root and that your answer

There are three key points to a bearing:

  1. a bearing is the direction travelled between two points, given as an angle in degrees
  2. all bearings are measured clockwise from the north line
  3. all bearing should be given as 3 figures ( 045 not 45 or 009 not 9 )

After all that we talked about the method for solving right-angle triangles using SIN, COS, TAN:

  1. label the three sides O, A and H ( opposite, adjacent and hypotenuse )
  2. write down SOH CAH TOA
  3. decide which two sides are involved, O H , A H , O A
  4. turn the one you choose into a formula triangle
  5. cover up the thing you want to find
  6. translate into numbers and work it out
  7. finally check that you answer is sensible

the hypotenuse is the longest side, the opposite is the side opposite the angle being used and the adjacent is the side next to the angle being used. Here are a few things about the angle of depression and elevation:

  1. the angle of depression is the angles downwards from the horizontal
  2. the angle of elevation is the angle upwards from the horizontal
  3. the angle of elevation and depression equal each other

That’s all the maths we’ve done over the past couple of days, I understood most of it , but obviously, there is some stuff that went in one side of my brain and came straight out the other.