Maths

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Maths

Percentages

To work out a change in value as a percentage increase or decrease

To use a multiplier to calculate a percentage change

To write one quantity as a percentage of another.

Probability

To reconise mutually exclusive and exhausted events

Exhausted

All of the possible outcomes

Exclusive

Outcomes that cannot occur together i.e. when you roll a dice you cannot get a 1 and a 6 together as they are mutually exclusive

Subtopic

Geometry

To construct a right angled triangle

Draw a 4cm line labeled A on the right and B on the left Then extend AB another 4cm to the left so that B in the mid-point and label the left point X Put your compass on B and set it to over half way to A and draw an arc labeled Z Then do the same towards X labeled Y At the same radius draw 2 arcs with the centres at Y and Z Label where the two arcs intersect C Draw a line from C to B Draw a line from C to A

To construct a perpendicular line from a given point

Set your compass to a suitable radius to draw 2 arcs from the given point to intersect with the given line Draw those arcs and label the points where the 2 arcs and the line meet X and Y At the same radius draw 2 arcs with the centres at X and Y Draw a line from where the two arcs intersect to the given point That line is perpendicular to the first line

To construct an angle bisector

Put compass where the two lines in the angle meet at any radius and draw a semi-circle Label the place where the semi-circle and lines meet Y and X With the compass at any radius put the centre on Y and draw an arc Then do the same on X Draw line from where the two arcs meet to the place where the two lines of the angle meet That line is the angle bisector

To construct the mid-point and the perpendicular bisector of a line

Put compass on a point of line Set the radius to bigger than half the line Draw semi-circle With compass at the same radius, do the same at other point Draw line from the two points where the arcs meet

Perpendicular Bisector

The line drawn

Mid-point

Where the two lines meet

To enlarge a 2D shape by scale factor

To understand how to translate a shape

To know the geometric properties of quadrilaterals

To calculate angles in parallel lines

Alternate angles

Z angles

Corresponding angles

Are equal

F angles

Allied angles

Add up to 180 degrees

C angles

Working with numbers

To carry out multiplications and divisions involving negative numbers

To understand and use powers and roots

To find the prime numbers of an integer

To understand and use common factors

Lowest common factors

Lowest possible factor of an integer

Highest common factors

Highest possible factor of an integer

Factors of an integer are whole numbers that divide into it sometimes in factor pairs