Indices – B1

Algebra and Functions I – AQA (7357)

In this course, Dr Niki Kalaydzhieva (UCL) explores algebra and functions, covering Topics B1, B2, B3, and B6 in the AQA A Level Mathematics (7357) Specification. In the first mini-lecture, we recall how to used indices and the index laws (Topic B1). In the second mini-lecture, we work with fractional and negative indices (Topic B1). In the third mini-lecture, we practice expanding brackets and factorising (Topics B3, B6). In the fourth mini-lecture, learn how to factorise quadratic expressions (Topics B3, B6). In the fifth mini-lecture, we factorise cubic and quartic expressions before learning the difference of squares method (Topic B3). In the sixth mini-lecture, we introduce surds (Topic B2). In the seventh mini-lecture, we learn how to rationalise the denominator (Topic B2).

Indices – B1

In this mini-lecture, we introduce Topic B1 by recalling index laws. In particular, we consider: (how to use index notation to simplify expressions; (ii) the laws of indices and examples using these laws; and (iii) why the index laws work.