Pearson Progression Step Q Scheme Marks AOs and Progress descriptor 1a Rearranges to find M1 1.1b 5th Understand the Statesand thereforeandor states A1 1.1b concept of roots of equations. (2) 1b Attempts to use iterative procedure to find subsequent values. M1 1.1b 6th Solve equations Correctly finds: A1 1.1b approximately using the method of iteration. (2) 1c Demonstrates an understanding that the two values of f(x) to be M1* 2.2a 5th calculated are for = and = x x –2.7815 –2.7825. Use a change of sign to locate Finds and M1 1.1b roots. Change of sign and continuous function in the interval root A1 2.4 (3) (7 Notes 1b Award M1 if finds at least one correct answer. 1c Any two numbers that produce a change of sign, where one is greater than and one is less than –2.782 –2.782, and both numbers round to to 3 decimal places, are acceptable. Minimum required is that answer states –2.782 there is a sign change in the interval and that this implies a root in the given interval. Pearson Progression Step Q Scheme Marks AOs and Progress descriptor Deduces fromthat 1.1b 2a M1 States M1 1.1b
Q Scheme Marks AOs Pearson Progression Step and Progress descriptor 1a Rearranges to find M1 1.1b 5th Understand the concept of roots of equations. Statesand thereforeandor states A1 1.1b (2) 1b Attempts to use iterative procedure to find subsequent values. M1 1.1b 6th Solve equations approximately using the method of iteration. Correctly finds: A1 1.1b (2) 1c Demonstrates an understanding that the two values of f(x) to be calculated are for x = –2.7815 and x = –2.7825. M1* 2.2a 5th Use a change of sign to locate roots. Finds and M1 1.1b Change of sign and continuous function in the interval root A1 2.4 (3) (7 Notes 1b Award M1 if finds at least one correct answer. 1c Any two numbers that produce a change of sign, where one is greater than –2.782 and one is less than –2.782, and both numbers round to –2.782 to 3 decimal places, are acceptable. Minimum required is that answer states there is a sign change in the interval and that this implies a root in the given interval. Q Scheme Marks AOs Pearson Progression Step and Progress descriptor 2a Deduces fromthat M1 1.1b States M1 1.1b
al_maths_pure_unit_9_ms.docx