**Effective private tuition services**

in Peterborough

Make a difference in your child’s life with private tuition services. At Patricia Mogose Maths Tutor in Peterborough, I am committed to offering a quality learning experience. My tuition classes can be tailored to your child’s specific needs. I also offer primary, secondary and A-level maths tuition. Get in touch with me today.

#### Professional tutor

#### GCSE maths tuition

#### BSc Honours and PGCE qualified

### Year 7 classes

- Understanding BIDMAS (order of the operations)
- All operations using 2 and more decimal places, plus manipulation of numbers in 4 or more digits
- Multiplying and dividing by varying powers of 10
- Finding equivalent fractions
- Converting fractions, decimals and percentages between each other
- Calculator work with brackets, squares and square roots
- Rounding numbers to whole numbers, nearest 10, 100, 1000 etc. also 1 and 2 decimal places
- LCM and HCF
- Prime numbers and triangular numbers
- Angles on a straight line and at a point, angle calculation in a triangle
- Areas of compound shapes, perimeter and volume
- Averages and ranges, including use of frequency tables
- Ratios and proportions
- Using letters to represent numbers, starting algebra
- simple algebraic expressions
- Understanding inverse operations
- Number sequences from word rules
- Plotting straight line graphs

### Year 8 maths tuition

- Division by decimal
- Larger powers and roots
- Percentage increase and decrease
- Simplification of ratios, sometimes containing units of measurement
- Ratio sharing into 3 or more parts
- Manipulation of negative/positive numbers with all 4 operations
- Expressing a number as a product of prime factors, also to find theL.C.M. and H.C.F.
- Simplifying algebraic expressions by collection of like terms
- Solving linear equations
- 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 and trapezium
- 4 quadrant co-ordinates in graphs
- Further transformations: translation and enlargement

### Classes for year 9

- Significant figure and decimal place rounding
- Calculator use for more complex arithmetical calculation, using brackets, powers, roots and fractions
- Using ratios to find 1:n or n:1, and the idea of direct 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
- Solving quadratic equations
- nth term of quadratic sequences
- Equations of straight line graphs
- Plotting graphs of quadratic functions
- Reciprocals
- Circles, circumference and area
- Maps and scale drawing
- Bearings
- Pythagoras theorem
- Trigonometry
- Tessellations
- Interior and exterior angles of polygons
- Congruency and similarity in shapes
- Means, modes and medians in grouped frequency data