Sketch up

Pentaflake made on sketch up

Transformations

Enlargement questions

What 2 things do you always need to say to describe an enlargement?

The scale factor

Centre of enlargement

What does centre of enlargement mean?

The centre of enlargement is the place where you start enlarging the shape

What is a scale factor?

A scale factor is how many times enlarged

Explain how to work out the scale factor on a grid, and with no grid. Use diagrams you have screenshot from the myimaths lesson.

To work out the scale factor on a grid, count how many squares on one of the sides on the shape that hasn't been enlarged. Then count how many squares that are on the same side as the none enlarged one and see how many times you can times it by. 

For example in the image below, shape A has 2 squares at the bottom side of the shape and shape B has 4 on the same side. This means that the scale factor is 2 because 2 x 2 =4

To work out the scale factor that isn't on a grid, we use project lines.

The black lines in the picture above are the project lines, we use them to help us to find out the scale factor. Use the centre of enlargement (X) to start. Draw lines from the centre of enlargement to each side and beyond. then measure with a ruler how far from the centre of enlargement to the end of each side is and then measure with a ruler from that side to the end of the enlarged side, if the none enlarged side is 3 and the enlarged side is 9 then the sclae factor will be 3. Check the other sides to make sure you are correct. 


What happens to the angle sizes in the corner of the shape when you enlarge it?
The angles stay the same

Translations

1. Explain what a translation is

A translation is the process of changing a shape or object from one form into another.

2. Explain how a vector works. What does it look like? What does the top number indicate? What does the bottom number indicate?

A vector looks like this : (9)

(1) 

The top number in the brackets is weather it is going left or right, if it is a positive number it goes right and if it is a negative number it goes left. The number in the brackets represents how far it moves. So if it was 9 in the top brackets it would be to move 9 to the right. The same with the number in the bottom brackets but if it is a positive number it goes up and negative goes down.

1. Give a real life example of when translation is used.

Playing video game, moving buildings

Rotating shapes

a. What 3 things do you need to say to describe a rotation?

1. Where the centre of rotation is

2. How much it is turned through, (90º or 1/4 etc)

3. If the turn is clock wise or anticlockwise (negative or positive)

b. Explain what centre of rotation means

The centre of rotation is the point where the shape is turned from

c. Now use these 3 things to describe the rotation on Page 1 of the myimaths lesson (i.e. describe the rotation of the triangle)

• Centre of rotation is (1, 1)
• Turn 90º or 1/4
• Turn clockwise (negative)

Rotational Symmetry Label

1. In your own words explain what rotational symmetry is.

Rotational symmetry is where you can lift up a shape and rotate it so that it can fit back perfectly in the same position as the starting position, but a full rotation is not included as the rotational symmetry.

b. How is rotational symmetry different from line symmetry?
Line symmetry, also known as reflection symmetry is where an image is symmetrical to the other side. The reflection does not have a certain direction, it can go, up, down, side ways, or even diagonally. Rotation symmetry is a little bit different the turning point is always from the centre, it doesn't have to be identical to any other side. It has to be changed by a rotation to be the same as the starting point. 

c. What do you do to check if a shape has rotational symmetry?
You place a pin in the shapes central point and rotate it until it can fit back to the starting point perfectly without turning the full rotation. If it can not fit back perfectly on one of the rotations, it does not have rotational symmetry. 

d. Find pictures of 3 real life objects which have rotational symmetry (not shapes, objects e.g. foods, logos) and paste them into your post
Complete this table

Quiz: 80%

Symmetry art- Order of 5

Order	Degrees of rotation to match its shape
2	180
3	120
4	90
5	72
10	36

Mode, median, mean & range song

Mode, median, mean & range
Mode, median, mean & range

don't you think these words sound strange
don't you think these words sound strange


I will get you're mind to change
mo, mo, mo, mo, mo, mo, mo,  moooode
mo, mo, mo, mo, mo, mo, mo,  moooode

It's the number that occurs occurs the most most 

Singing mo, mo, mo, mo, mo, mo, mo,  moooode 

It's the number that occurs occurs the most most 

You gotta 1 2 2 3 3 3 4 

1 2 2 3 3 3 4 

Which of those numbers did say more

Which of those numbers did say more

3 is the mode because it occurs the mooost 

Now, stop 

Lets take it to the middle 

gotta find the median

No time to daddle diddle 

Line up all the numbers 

from the smallest to the big 

And the one that's in the middle 

does the median shake 

go median, middle number

go median, middle number

Now the third ones mean not nice but mean
It's the average number if you know what i mean
You just add up all the numbers
then divide it by the number of adders

Whats that whats mean
then divide it by the number of adders
now you know what i mean

Add up all the numbers
then divide it by the number of adders
Its the average number
Mean

Its the average number
1 more round and the song is done
lets talk about range
and have some fun

Its the biggest number minus
Its the smallest number
in the group
in the group

Its the biggest number minus
Its the smallest number
in the group
in the group

Mode, median, mean & range
Mode, median, mean & range

don't you think these words sound strange
don't you think these words sound strange

I just got your mind to change

Fractions rhyme