Your Basket 0 items - £0.00

**Scheme of work: GCSE Foundation: Year 11: Term 1: Indices and Standard Index Form**

- 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 a highest common factor, lowest common multiple, and prime factorisation, including using product notation and the unique factorisation theorem
- calculate with roots, and with integer 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

- To decompose integers into 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. Students need to have a secure understanding of place value to access this.

- One is not a prime number since it only has one factor.
- x
^{2}is often incorrectly taken as 2x. - Students often have difficulty when dealing with negative powers. For instance, they assume, 1.2 x 10
^{-2}to have a value of -120.

May 14, 2023

Linking cumulative frequency graphs to ratio, percentages and financial mathematics.

April 20, 2023

In this lesson there are five grade 8 and 9 maths problems for higher ability students.

April 19, 2023

Grade 4 GCSE mathematics revision lessons to watch and download.