Year 8 Maths
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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 for Year 8:
The national curriculum for mathematics aims to ensure that all pupils:
- become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
- reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language
- can solve problems by applying their mathematics to a variety of routine and nonroutine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.
For the Year 8 course, we will meet this aims within the subject heading of Algebra whilst consolidating the work covered in Number
Pupils will be taught to:
- use and interpret algebraic notation, including:
- ab in place of a × b 3y in place of y + y + y and 3 × y
- a2 in place of a × a, a3 in place of a × a × a; a2 b in place of a × a × b
- a/b in place of a ÷ b
- coefficients written as fractions rather than as decimals
- substitute numerical values into formulae and expressions, including scientific formulae
- understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors
- simplify and manipulate algebraic expressions to maintain equivalence by:
- collecting like terms
- multiplying a single term over a bracket
- taking out common factors
- expanding products of two or more binomials
- understand and use standard mathematical formulae; rearrange formulae to change the subject
- model situations or procedures by translating them into algebraic expressions or formulae and by using graphs
- use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement)
- work with coordinates in all four quadrants
- recognise, sketch and produce graphs of linear and quadratic functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane
- interpret mathematical relationships both algebraically and graphically
- reduce a given linear equation in two variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically
- use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations
- find approximate solutions to contextual problems from given graphs of a variety of functions, including piece-wise linear, exponential and reciprocal graphs
- generate terms of a sequence from either a term-to-term or a position-to-term rule
- recognise arithmetic sequences and find the nth term