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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
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