~ A level maths tutoring Peterborough ~ A level maths tuition Peterborough ~ A level mathematics tutor ~ A level mathematics tutoring ~ A level mathematics tuition ~

Ages: 11 to 14 (Years 7, 8 and 9)

The first three years of secondary school will end with the Key Stage 3 SATs exam, the additional work done each year is as follows:

Year 7:

Understanding BODMAS (order of the operations)
Understanding inverse operations + -> - , x -> / and vice versa
All operations using 2 and more decimal places plus manipulation of larger numbers in 4 or more digits
Multiply an divide by varying powers of 10
Findind equivalent fractions
Converting fractions, decimals and percentages between each other
Calculator work with brackets, also squares and square roots
Rounding numbers to whole numbers, nearest 10,100, 1000 etc, also to 1 and 2 decimal places
Lowest Common Multiple (LCM), Highest Common Factor (HCF)
Prime numbers, Triangular numbers
Angles on a straight line and at a point, Angle calculations in triangles
Areas of compound shapes, Perimeter and volume
Averages and ranges, including frequency tables
Ratio and proportion
Using letters to represent numbers
Linking equivalent algebraic expressions
Number sequences from word rules
Plotting straight line graphs

Year 8:

Division by decimal, Larger powers and roots
Percentage increase and decrease
Simplification of ratios, also containing units of measurement
Ratio sharing into three or more parts
Manipulation of negative/positive numbers with all four operations
Products of prime factors to find L.C.M. and H.C.F.
Simplifying algebraic expressions by collecting like terms
Finding the nth term of a sequence
Graphs of real-life situations
Function mapping
Angles in parallel lines, opposite angles at a vertex
Volumes of prisms, surface areas of cuboids
Areas of parallelogram, trapezium
Four quadrant co-ordinates
Transformations

Year 9:

Reciprocals
Significant figure and decimal place rounding
Calculator use for more complex arithmetical calculation, typically containing brackets, also for calculating powers and roots and for problems with fractions
Using ratios to find 1:n or n:1, and the idea of diect proportion
Speed, distance and time relationships
Solving inequalities and indicate solution on number line
Expansion of brackets and simplification
Multiplying and dividing indices
Solving equations by 'trial and improvement'
Rearranging equations(changing the subject)
Solving simultaneous equations by algebraic and graphical means
nth term of quadratic sequences
Equations of straight line graphs
Plotting graphs of quadratic functions
Circles, circumference and area
Maps and scale drawing
Bearings
Pythagoras theorem
Trigonometry
Interior and Exterior angles of polygons
Congruency and similarity in shapes
Tessellations
Means, modes and medians in gouped frequency data

Towards the end of Year 9, children will take a SATs test as specified in the national cuuriculum. This will assess their attainment thus far. The exam consists of a calculator paper, a non-calculator paper and a mental test.

Tuition can address any or all of the above areas, and provide practice in SATs tests by the use of past papers


~A level mathematics tutor Peterborough~ A level mathematics tutoring Peterborough ~ A level mathematics tuition Cambridgeshire ~ A-level maths tutor ~ A-level maths tutoring ~