910280

1SUPERVISOR’S USE ONLY

9 1 0 2 8

© New Zealand Qualifications Authority, 2015. All rights reserved.No part of this publication may be reproduced by any means without the prior permission of the New Zealand Qualifications Authority.

ASSESSOR’S USE ONLY

TOTAL

Level 1 Mathematics and Statistics, 201591028 Investigate relationships between tables,

equations and graphs

9.30 a.m. Monday 9 November 2015 Credits: Four

Achievement Achievement with Merit Achievement with ExcellenceInvestigate relationships between tables, equations and graphs.

Investigate relationships between tables, equations and graphs, using relational thinking.

Investigate relationships between tables, equations and graphs, using extended abstract thinking.

Check that the National Student Number (NSN) on your admission slip is the same as the number at the top of this page.

You should attempt ALL the questions in this booklet.

Show ALL working.

If you need more space for any answer, use the page(s) provided at the back of this booklet and clearly number the question.

Check that this booklet has pages 2 – 16 in the correct order and that none of these pages is blank.

YOU MUST HAND THIS BOOKLET TO THE SUPERVISOR AT THE END OF THE EXAMINATION.

Merit

16

Annotated Exemplar Template

Merit exemplar for 91028 2015 Total score 16

Q Grade score Annotation

1 M5

a(i). Points correctly plotted.

a(ii) Correct answer and recognition of doubling for r.

a(ii) and (iii). Incorrect.

b(i). Incorrect.

b(ii). Candidate has discussed context but has not related to graph.

.2 M6

a) Correct.b) Correct and some indication of working for r.c) Equation and explanation correct.d) Both parts correct.e) Correct equation for r but no explanation.f) Incorrect.

3 M5

a(i). Graph is not pretty but OK for u. Should be discrete points for r.

a(ii). Correct.

a(iii). No obvious explanation.

a(iv). No attempt.

b(i) Equation incorrect.

b(ii). Graph correct.

b(iii). Candidate has correct equation to solve for u but has failed to solve correctly.

910280

1SUPERVISOR’S USE ONLY

9 1 0 2 8

© New Zealand Qualifications Authority, 2015. All rights reserved.No part of this publication may be reproduced by any means without the prior permission of the New Zealand Qualifications Authority.

ASSESSOR’S USE ONLY

TOTAL

Level 1 Mathematics and Statistics, 201591028 Investigate relationships between tables,

equations and graphs

9.30 a.m. Monday 9 November 2015 Credits: Four

Achievement Achievement with Merit Achievement with ExcellenceInvestigate relationships between tables, equations and graphs.

Investigate relationships between tables, equations and graphs, using relational thinking.

Investigate relationships between tables, equations and graphs, using extended abstract thinking.

Check that the National Student Number (NSN) on your admission slip is the same as the number at the top of this page.

You should attempt ALL the questions in this booklet.

Show ALL working.

If you need more space for any answer, use the page(s) provided at the back of this booklet and clearly number the question.

Check that this booklet has pages 2 – 16 in the correct order and that none of these pages is blank.

YOU MUST HAND THIS BOOKLET TO THE SUPERVISOR AT THE END OF THE EXAMINATION.

Merit

18

Annotated Exemplar Template

Merit exemplar for 91028 2015 Total score 18

Q Grade score Annotation

1 M6

a(i). Graph correct.

a(ii). Answer and explanation correct.

a(iii). No equation.

a(iv). Correct answer.

b(i). Correct answer but candidate has missed “x” third equation. MEI (minor error ignored) because candidate understands what is required despite errors.

b(ii). Candidate has been unable to link context and graph.

.2 E7

a) Correct answer.b) Correct answer with evidence although minimal.c) Equation correct but explanation incorrect. Should refer to area

rather than growth.d) Both parts correct.e) No attempt.f) Correct answer with very bad rounding from graphics calculator.

This is because the numbers in the table are rounded.

3 M5

a(i). Correct points and discrete for r.

a(ii). Missing “x” beside -3 so n.

a(iii). Some understanding of link between graph and solution but has missed second solution.

a(iv). Incorrect.

b(i). Incorrect.

b(ii). Graph correct.

b(iii). No attempt.