To get a Level 7 I will need to be able to...

 

...do all the things in the Level 6 list of skills, and...

 

Numbers

4

Round numbers to three decimal places and a given number of significant figures.

 

Know and use the index laws for multiplication and division of positive integer powers.

 

Understand proportionality and calculate the result of any proportional change.

 

 

 

Calculations

4

Estimate calculations by rounding numbers to one s.f. and multiplying or dividing mentally.

 

Use a calculator efficiently and appropriately (see “Know Your Calculator”)

 

 

 

Algebra

4

Know and use the index laws for multiplication and division of positive integer (whole number) powers

 

Solve a pair of simultaneous equations by eliminating one variable.

 

Solve a pair of simultaneous equations by finding the intersection of two graphs

 

Solve simple inequalities and represent the solutions on a number line;

 

Work out and use formulae in real-life situations.

 

Deduce properties of the sequences of triangular and square numbers from diagrams

 

Investigate the gradients of parallel lines.

 

 

 

Shape, space and measures      

4

Understand and use Pythagoras’ theorem.

 

Remember that if two shapes are similar, corresponding angles are equal and corresponding sides are in the same ratio.

 

Remember that the tangent at any point on a circle is perpendicular to the radius at that point.

 

Enlarge 2-D shapes, given a fractional scale factor & remember that the resulting shapes are similar

 

Understand how enlargement affects the area of a 2-D shape.

 

Find the locus of a point that moves according to a rule.

 

Understand and use measures of speed (and other compound measures such as density or pressure)

 

Calculate lengths, areas and volumes in prisms, including cylinders.

 

 

 

Handling data

4

Find the median for large sets of data.

 

Estimate the mean of a large set of grouped data.

 

Draw the most suitable graph or diagram to represent data and justify my choice.

 

Draw frequency polygons.

 

Understand fully the types of correlation (strong/weak, positive/negative/none)

 

Draw lines of best fit by eye, understanding what they represent and take readings from them.

 

Understand relative frequency as an estimate of probability and use this to compare outcomes of experiments.

 

 

! Remember, the skills in bold type are the most important.

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