#### Professional tutor

#### GCSE maths tuition

#### BSc Honours and PGCE qualified

**Maths tutoring services for primary school students**

in Peterborough

Bring out your child’s true potential with reliable maths tutoring services. At Patricia Mogose Maths Tutor in Peterborough, I offer professional tuition for primary school, secondary school and A-level students. Contact me today.

### Year 3 students

- Multiples of numbers
- More fractions: 1/8, 1/10 etc.
- Decimal fractions: getting a feel for their size
- Continued use of the 4 main operators: +, -, x, / and extending to more detailed calculations
- introducing symbols: less than <, and greater than >
- Adding more than 2 numbers
- Multiplying 2 digits by 1 digit
- Introducing the larger times tables to 10
- Division: halving and quartering by division
- Understanding concept of remainder in division
- Square numbers and prime numbers

### Tuition for year 4 students

- Odds and Evens: Telling whether the result of an addition is odd or even by looking at the properties of the two numbers added together
- Introducing ratios
- Decimals and Fractions, looking at their relationship
- Adding with decimal numbers
- Subtracting decimals
- Multiplication by doubling
- Division by a single digit
- Extending work with the 4 operators
- Measurement in different units
- Negative numbers appreciation of ‘more’ and ‘less’
- Areas by counting squares
- Perimeters of shapes
- 3D shapes: faces, edges, vertices, nets
- Angles and measurement by protractor
- Compass points
- Fraction equivalence

### Year 5 maths tuition

- Writing larger numbers as figures and words
- Estimating calculations by rounding
- Estimating fractions of quantities
- Negative numbers: finding the difference between 2 such numbers
- Multiples and Factors
- Number squaring
- Fractions: comparison of, with different denominators
- Considering one quantity as a fraction of another
- Percentage of a quantity, calculation on paper
- Further extension of work with the 4 operators
- Adding various sized numbers in appropriate columns
- Subtracting: hundreds and thousands
- Multiplying of decimals and long multiplication
- Dividing: into numbers in hundreds and thousands
- Calculator work for all operations, including more complex problem solving
- Areas in square mm, cm, m, also converting between such units
- Metric and imperial units: appreciation and comparison
- Triangles: identifying the different types
- Time: the 24-hour clock
- Types of angles and calculating a missing angle
- Transformations: Reflection and Rotation
- Probability: appreciation of, and associated words

### Year 6 maths

- This year will be consolidation of work from previous years and new material. At the end of Year 6, SATs tests in arithmetical skills and mathematical reasoning will be taken.
- Additional material as follows:
- Describing the pattern in number sequences
- Awareness of larger multiples of single digit numbers
- Fractions: using all 4 operators, mixed numbers, improper fractions
- Percentages of quantities, one number as percentage of another, with and without calculator
- Polygons: names and properties
- Extending work with the 4 operators
- Long multiplication with 3 digit numbers
- Division: Long, by 2 digit numbers
- Estimating decimal calculations by rounding to a whole number
- Calculator work – extended to fractions
- Brackets in more complex calculations
- Converting metric/imperial units
- Area calculation: square, rectangle and triangle
- Further types of quadrilaterals