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**Scheme of work: GCSE Higher: Year 10: Term 3: Indices, Standard Form and Surds**

- Apply the four operations, including formal written methods, to integers.
- Use and interpret algebraic notation
- Count backwards through zero to include negative numbers
- Use negative numbers in context, and calculate intervals across zero

- Use the concepts and vocabulary of highest common factor, lowest common multiple, and prime factorisation, including using product notation and the unique factorisation theorem.
- Calculate with roots, and with integer and fractional indices
- Calculate with and interpret standard form A x 10n, where 1 â‰¤ A < 10 and n is an integer.
- Simplify and manipulate algebraic expressions
- Simplifying expressions involving sums, products and powers, including the laws of indices
- Calculate exactly with surds
- Simplify surd expressions involving squares and rationalise denominators

- To decompose integers into their prime factors, students may need to review the definition of a prime.
- A base raised to a power of zero has a value of one.
- Students need to have a secure understanding in the difference between a highest common factor and lowest common multiple.
- Standard index form is a way of writing and calculating with very large and small numbers. A secure understanding of place value is needed to access this.
- Surds are square roots that cannot exactly in fraction form.
- Students need to generalise the rules of indices.

- One is not a prime number since it only has one factor.
- x
^{2}is often incorrectly taken with 2x. - Students often have difficulty when dealing with negative powers. For instance, 1.2 x 10
^{-2}they assume, to have a value of -120. - Multiplying out brackets involving surds is often attempted incorrectly.
- 2(5
^{2}) is often confused with 10^{2}

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A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Pure 2: 3D Vectors

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Edexcel A-Level Mathematics Year 2: Pure 2: Parametric Equations