Year 6 Maths
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Enrol your child on our LIVE, interactive online teaching programme, with flexible hours
This course will also run during half term, you can choose your start date: 19th October or 26th October
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Course Leader – Peter English:
Peter English is a Cambridge University graduate with a Masters in Education from Loughborough University. He has over 30 years experience in teaching mathematics and physics at several schools as well as becoming Head of Department at Brighton College for many years.
About Myddelton College:
Myddelton College, one of the fastest growing independent schools in the UK has teamed up with leading educational specialists to ensure that your child is fully equipped to enter into the next phase of their studies.
Myddelton College is a co-educational independent boarding school located in Denbigh, North Wales. At Myddelton, there is a focus on 21st Century Learning, as well as engaging specialist programmes such as our ‘Learning Through the Outdoors’ programme, which encourages our students to learn and apply knowledge beyond the classroom.
All children progress at different speeds and meet different hurdles in their learning, they need bespoke learning plans and individual support. Our programme meets these requirements by offering small class sizes of up to 20 students. We provide immediate feedback to enable students to progress at their own speed. By using a combination of video link and interactive software, the teacher will provide live tuition. All exercises are marked automatically and results are recorded.
The programme consists of 6 hours per day for five days, covering the whole syllabus. Pupils will be assessed at the start of the programme to determine their base line performance and progress will be monitored continuously. Practice is the key to success, the greater the variety of examples the child has encountered and mastered, the less likely they are to meet unfamiliar situations.
Summary of Topics:
Number – number and place value
- read, write, order and compare numbers up to 10 000 000 and determine the value of each digit
- round any whole number to a required degree of accuracy
- use negative numbers in context, and calculate intervals across zero
- solve number and practical problems that involve all of the above.
Number – addition, subtraction, multiplication and division
- multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
- divide numbers up to 4 digits by a two-digit whole number using the formal written method of long and short division where appropriate, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
- perform mental calculations, including with mixed operations and large numbers
- identify common factors, common multiples and prime numbers
- use knowledge of the order of operations to carry out calculations involving the four operations
- solve addition and subtraction multi-step problems, deciding which operations and methods to use and why
- solve problems involving addition, subtraction, multiplication and division
- use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.
Number – fractions (including decimals and percentages)
- use common factors to simplify fractions; use common multiples to express fractions in the same denomination
- compare and order fractions, including fractions > 1
- add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
- multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, 1/4 × 1/2 = 1/8 ]
- divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6 ]
- associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8]
- identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places
- multiply one-digit numbers with up to two decimal places by whole numbers
- use written division methods in cases where the answer has up to two decimal places
- solve problems which require answers to be rounded to specified degrees of accuracy
- recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.
Ratio and proportion
- solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
- solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison
- solve problems involving similar shapes where the scale factor is known or can be found
- solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.
- use simple formulae
- generate and describe linear number sequences
- express missing number problems algebraically
- find pairs of numbers that satisfy an equation with two unknowns
- enumerate possibilities of combinations of two variables.
- solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate
- use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places
- convert between miles and kilometres
- recognise that shapes with the same areas can have different perimeters and vice versa
- recognise when it is possible to use formulae for area and volume of shapes
- calculate the area of parallelograms and triangles
- calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm3 ) and cubic metres (m3 ), and extending to other units [for example, mm3 and km3 ].
Geometry – properties of shapes
- draw 2-D shapes using given dimensions and angles
- recognise, describe and build simple 3-D shapes, including making nets
- compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons
- illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius
- recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.
Geometry – position and direction
describe positions on the full coordinate grid (all four quadrants)
- draw and translate simple shapes on the coordinate plane, and reflect them in the axes.
- interpret and construct pie charts and line graphs and use these to solve problems