Uses to write = A1 1.1b b –6. (5) 3b States expansion is valid for B1 ft 3.2b 6th Understand the Solves to state A1 ft 1.1b conditions for validity of the binomial theorem for rational n. (2) 3c Substitutes = 64 and = into M1 ft 1.1b 6th a b –6 Understand the Finds A1 ft 1.1b binomial theorem for rational n. (2) (9 marks) Notes 3a Note term is not necessary to answer part a, so is not required. Will be needed to answer part c. x2 3b Award marks for a correct conclusion using incorrect values of and from part a. a b 3c Award marks for a correct answer using incorrect values of and from part a. a b Q Scheme Marks AOs Pearson Progression Step and Progress descriptor 4a Correctly writes as: M1 2.2a or Completes the binomial expansion: M1 2.2a Simplifies to obtain A1 1.1b Correctly writes as: M1 2.2a or Completes the binomial expansion: M1 2.2a
Uses to write b = –6. A1 1.1b (5) 3b States expansion is valid for B1 ft 3.2b 6th Understand the conditions for validity of the binomial theorem for rational n. Solves to state A1 ft 1.1b (2) 3c Substitutes a = 64 and b = –6 into M1 ft 1.1b 6th Understand the binomial theorem for rational n. Finds A1 ft 1.1b (2) (9 marks) Notes 3a Note x2 term is not necessary to answer part a, so is not required. Will be needed to answer part c. 3b Award marks for a correct conclusion using incorrect values of a and b from part a. 3c Award marks for a correct answer using incorrect values of a and b from part a. Q Scheme Marks AOs Pearson Progression Step and Progress descriptor 4a Correctly writes as: or M1 2.2a Completes the binomial expansion: M1 2.2a Simplifies to obtain A1 1.1b Correctly writes as: or M1 2.2a Completes the binomial expansion: M1 2.2a
al_maths_pure_unit_5_ms.docx