Patricia Mogose Maths Tutor

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