Year 8 Revision

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Year 8 TopicsClick on which topic you wish to revise

Transformations• Symmetry• Reflection• Translation• Enlargement• MINI EXAMAreaPerimeterCirclesVolume

Symmetry is where an object looks exactly the same when you place it in different positions. There are three

types of symmetry.

1. Line Symmetry2. Plane Symmetry 3. Rotational Symmetry

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Symmetry

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Line SymmetryLine symmetry is where you can draw a mirror line across a

picture on both sides and it will fold exactly together.

A 1 line of symmetry K NO lines of symmetryF1 line of symmetry

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Worksheet on line symmetry

Plane SymmetryFor 2D shapes we call the mirror line, lines of symmetry. Whereas for 3D shapes we call the mirror line planes of

symmetry. A plane mirror surface can e drawn through many solids, but the shape must be exactly the same on both sides.

Here are a few examples:

Answers

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Rotational SymmetryRotational Symmetry is where an object looks exactly the

same when its rotated in different positions. Here are a few examples:

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1. The order of rotational symmetry is practically a fancy way of saying: “how many times does it look the same in different positions”.

2. BUT… when a shape has only 1 rotational symmetry you can either say it has a rotational symmetry order 1 OR you could say it has NO lines of symmetry.

Two KEY Points

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PLEASE RETURN TO HOMEPAGE

If you need help on this topic then please visit: http://www.bbc.co.uk/bitesize/ks3/maths/shape_space/symmetry/revision/1/

OR

http://www.mymaths.co.uk/

For helpful videos visit:http://www.youtube.com/watch?v=1T_wREejCRg

ORhttp://www.youtube.com/watch?v=UxSsGd0qcck

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ReflectionReflection is where you copy an image exactly the same

in a different position. Just like you see yourself in a mirror etc. Here is an example:

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http://www.youtube.com/watch?v=M_gMPwUHdwM

Visit this link to watch an intelligent teacher explain how to reflect a shape:

TRACING PAPER MAY HELP!!!

1. For reflections, trace one side of the object including the mirror line. Then turn the paper over and line up the mirror line in its original position.

2. For rotations, just swizzle the tracing paper round. Its really useful for finding the centre of rotation and by doing this you are using the technique trial and error as well as the order of rotational symmetry.

3. You can use tracing paper in an exam-so if needed ASK!

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TranslationTranslation is not where you translate a language into another. Its where you translate an object from one

place to another making it look exactly the same!Here is an example:

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PLEASE RETURN TO THE HOMEPAGE

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Please visit: http://www.bbc.co.uk/bitesize/ks3/maths/shape_space/transformations1/revision/3/ for further acknowledgements for translations. This website

is very trustful and it will help you a lot. After revision you may do the activity and test to see how well you have

understood this topic. If you get more than 80% or above it’s a very good sign.

Enlargement

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Enlargement is where you make an object bigger or smaller. You do this by the help of the scale factor and

the centre of enlargement.Look at the example below and visit this link:

http://www.bbc.co.uk/bitesize/ks3/maths/shape_space/transformations2/revision/3/

This link explains in full detail so you would understand it more easily by watching at least 3 times if you find it hard try this link as well:

http://www.youtube.com/watch?v=qt-0Q-fBPPY, http://www.youtube.com/watch?v=7lvJ8fX_yxc

HELPFUL SECRET

SECRETFor this whole topic the name TERRY would be very useful this stands for:• T ranslation• E nlargement• R otation• R eflection• Y ----------------

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Translation You must only specify one detail:1. The translation vector:

How far it moves along the x-axis

How far it moves up/down the y-axis

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Enlargement You must only specify two detail:1. The translation vector2. The centre of enlargement

Rotation You must only specify three detail:1. Angle turned2. Direction (clockwise/anticlockwise) 3. Centre of rotation

Reflection You must only specify one detail:1. The mirror line

SECRET

To revise this entire topic again visit: http://www.mymaths.co.uk/samples/transformationRevision.html

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END OF TOPIC 1 PLEASE RETURN TO THE HOMEPAGE

AreaIn Area there formulas that you need to know of by heart, please learnt the following:

Area is the measurement of the inside of a shape.

Rectangle

A= l x wArea of RECTANGLE= length x width

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Triangle

Parallelogram

A= b x hArea of PARALLELOGRAM =base x vertical height

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Trapezium

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http://www.bbc.co.uk/bitesize/ks3/maths/measures/area/quiz/q55060654/

Please visit this link in order to make sure you are comfortable working with Areas:

END OF TOPIC 2 PLEASE RETURN TO THE HOMEPAGE

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Perimeter Perimeter is the measurement of the outside of a

shape. For Example:

6m

Perimeter= 6m+6m+6m+6m = 6m X 4 = 24m

As a square has 4 equal sides the length of one side would be exactly the same as the other. Therefore you would have to do 6m

X 4 which is equivalent to 6m+6m+6m+6m.

http://www.bbc.co.uk/bitesize/ks3/maths/measures/

Please visit the following website, for your knowledge to develop more!

It would be best to try out revise, activity and test.

RadiusDiameter

A= Π x r2

Area= Π x (radius) 2

Circles

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Circumference is the distance around the circle (perimeter)

Circumference= Π x diameter (=2Πr as diameter= 2 x radius)

Diameter

Circumference

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