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The question-speciﬁc information in the teacher’s guide must be treated as CONFIDENTIAL and must not be used to inform the preparation of pupils before the tests. Ma Year 7 progress test in mathematics YEAR 7 LEVELS This booklet is provided for teachers who will be supervising the administration of the written mathematics and mental mathematics tests. 2004 3–4 2004 Teacher’s guide Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Introduction These notes are written for teachers who are supervising the administration of the 2004 year 7 progress written mathematics and mental mathematics tests. Part A (pages 2–8) applies to the written tests only, that is Papers 1 and 2. Part B (pages 9–11) applies to the mental mathematics test only. Part A: written papers The notes on the written papers are given in two sections. Section 1 provides general and subject-specific information on supervising the tests and giving guidance to pupils. Section 2 deals with special arrangements, and therefore only needs to be read, (in addition to Section 1), by teachers who will be providing support of this kind. Section 1 Supervising the tests Teachers should: ■ ■ ensure that pupils have been given the correct test paper ■ ensure that pupils have the equipment listed on the front cover of the relevant test (a calculator must not be used for any question in Paper 1, but is required for some questions in Paper 2) ■ ensure that pupils write their name and the name of their school in the spaces provided on the front cover of their test paper ■ draw pupils’ attention to the ‘Remember’ section on the front cover of the test paper and to the instructions on page 2 ■ help pupils who need assistance during the tests, according to the guidance given in this document ■ give appropriate time reminders, for example halfway through the test and again ten minutes before the end ■ collect all test papers from pupils at the end of the test ■ 2 maintain appropriate test conditions by ensuring that pupils are able to work individually, undisturbed and without access to any unauthorised material refer to the Schools’ guide booklet, sent by the External Marking Agency, for detailed guidance on completing marksheets and dispatching scripts for external marking. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Helping pupils during the tests Teachers should ensure that pupils are clear about what they have to do but must not provide help with the mathematics being tested. Teachers may answer questions such as ‘Am I supposed to write it here?’ and ‘Do I have to do all of the questions?’ or clarify the meaning of instructions given in the test papers. If a pupil asks the teacher to clarify the wording of a particular question, the teacher may do this so long as no help with the substance of the question is provided and the general principles given in these notes are followed. The teacher must not help by explaining specific mathematical terms such as line of symmetry or area. Similarly, the teacher must not help by interpreting graphs or mathematical tables or diagrams. In cases where a pupil asks for clarification of the mathematical symbols or notation used in a question, the teacher may read these to the pupil but should not indicate the operation or process involved. For example: % per cent (not out of every hundred) Further guidance on specific questions is given on the following pages. Each table indicates, in italics, some words or phrases pupils may ask about. Words or phrases that may be explained are indicated with a ✓, and, where appropriate, some paraphrases are suggested in brackets. Words or phrases that must not be explained are indicated with a . If a point raised by a pupil is not in these notes, clarification may be given; however, the general principle is that teachers should not help with the mathematics being tested and should not indicate the process or operation to be carried out. If in doubt, do not provide clarification to the pupil. The shaded areas in the tables give details of special arrangements that may be made. Further information about special arrangements is given in Section 2 of this booklet. Separate tables are given for Papers 1 and 2. To help with identifying questions, a name has been printed at the top right of each question on the test papers. Each table identifies questions by name and question number. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 3 Paper 1 questions Notes for teachers on specific questions 100 1 ✓ pair (two) Speed limits 2 ✓ ✓ ✓ ✓ Number grid 3 ✓ number grid (point to the number grid), but do not interpret the grid Total of 50 4 Properties of shape 5 ✓ square grid (point to the square grid) right angles, parallel, line of symmetry, quadrilateral Number chains 6 ✓ number chains (point to the number chains), but do not interpret the number chains ✓ rule (instruction) add, multiply Survey results 8 ✓ did a survey (asked some questions) ✓ bar chart, pictogram (point to the bar chart or pictogram), but do not interpret the bar chart or pictogram Balancing 9 ✓ balance (make the scales level) Spinners 12 ✓ shade (colour in) 50% chance Charity 13 ✓ diagram (point to the diagram), but do not interpret the diagram percentage, 85% Net 14 ✓ net (point to the net) ✓ base, lid (bottom, top) ✓ label the face (write on one of the squares) Two numbers 15 ✓ Teachers may clarify that the two numbers being added are the same as the two numbers being multiplied Patterns 17 ✓ oval (point to the oval) ✓ pattern (point to the pattern), but do not explain the pattern Missing fractions 18 mph (miles per hour) vehicles (cars, buses, coaches) towing (pulling along) single carriageway, dual carriageway (types of road) total fraction Triangles ✓ right-angled triangular tile (point to the right-angled triangular tile), but do not interpret the properties of the tile square Long jump 20 ✓ scale (point to the scale), but do not interpret the scale metres, centimetres Chocolate 4 19 21 ✓ graph (point to the graph), but do not interpret the graph ✓ increased, increase (got bigger) Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Paper 2 questions Notes for teachers on specific questions Beads 1 half Teachers 3 Baby 5 kg, millilitres, litres Dice sum 7 totals Place value 8 hundredths Area 9 ✓ centimetre square grid (point to the centimetre square grid) hexagon, area, triangle Equations 10 ✓ Solve these equations (work out the values of a and b) America 12 ✓ chart (point to the chart), but do not interpret the chart ✓ rule (point to the rule), but do not interpret the rule Angle sizing 13 ✓ square grid (point to the square grid) angles Restaurant 15 ✓ restaurant (a place where you go to eat) School bags 16 ✓ bar chart (point to the bar chart), but do not interpret the bar chart Turning 17 Questionnaire 18 ✓ questionnaire (a set of questions on a form) less than, more than Rectangles 19 ✓ rectangles (point to the rectangles) fraction ✓ table (point to the table), but do not interpret the table right angles Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 5 Section 2 Special arrangements This section provides further specific guidance for teachers and support staff who will be supervising the mathematics tests with pupils who have special educational needs. The tests have been designed to be accessible to pupils who did not achieve level 4 at the end of key stage 2 and who are assessed by their teacher to be working at level 3 or 4 during year 7. Braille, modified large print and enlarged versions of the tests have been made available. Additional guidance notes for teachers administering braille and modified tests will have been sent to schools that have ordered braille or modified papers. Permission is required for early opening of a test paper for any pupil for whom you wish to make special arrangements, regardless of that pupil’s stage on the SEN Code of Practice. Guidance on special arrangements for the tests is given in the 2004 Guidance on administering the years 7 and 8 tests booklet, sent to schools in autumn 2003. The section ‘Special arrangements’ (pages 28–46) gives details about the use of readers, communicators, signers, amanuenses, transcripts, school-based adaptations to the tests, and other special arrangements such as allowing additional time for the modified large print or braille papers. It also provides guidance on the administration of the mental mathematics test with pupils for whom English is an additional language. School-based adaptations to the tests School-based adaptations to the tests may include taping, photocopying onto coloured paper or use of coloured overlays, or limited changes to the presentation of diagrams or to the size of the text, but must not involve rewording of questions. Details of real objects that may be used as prompts are shown in the shaded areas of the ‘Notes for teachers on specific questions’ column in the tables on pages 4 and 5 of this booklet. Schools may order modified enlarged papers for pupils needing large print versions of the tests. Alternatively, schools may enlarge individual questions, or parts of questions, to meet the specific needs of individual pupils. However, the following questions must not be enlarged because enlargement would affect the accuracy of pupils’ responses: Paper 1 ■ Triangles (question 19) Paper 2 ■ Area (question 9) Mental mathematics test ■ question 14. Teachers should refer to pages 41–46 of the 2004 Guidance on administering the years 7 and 8 tests booklet for further details of specific arrangements and to pages 48–50 for information about early opening arrangements. 6 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk The language of the tests Schools may provide translations of words or phrases in the test papers that are likely to prove difficult for pupils for whom English is an additional language and also for some pupils who use British Sign Language or other sign-supported communication, if this is usual practice for the pupil. General guidance for signers These notes should be read in conjunction with those given in Section 1 and ‘Notes for signers on specific questions’ on page 8 of this booklet. Any special arrangements described there may be made, and suggested rephrasing of words and sentences may be signed. ■ Teachers or communicators should take care when using iconographic signs which convey the meaning of the subject-specific word being tested, as they may inadvertently unfairly advantage or disadvantage the pupil. When teachers or communicators sign any of the words identified as ‘words that must not be explained to pupils’, it may be more appropriate to finger spell the word to the pupil. ■ Some subject-specific words do not have a clear or meaningful sign. Teachers often develop their own signs for these words. All staff supporting pupils should be aware of these signs and use them with the pupils during the tests (see specific guidance on page 8). ■ Pupils may be confused by unfamiliar proper nouns. If a name is likely to confuse a pupil, it may be clarified by a general sign, such as ‘a girl’, ‘a boy’, ‘a man’, ‘a woman’, ‘a place’. ■ Some questions refer to past or future events, or to words or diagrams used earlier in the questions. Pupils may be given reminders, including the repetition of parts of a question. ■ Real objects may be used as prompts in line with the guidance given earlier in Section 1. ■ Pupils may sign their responses to teachers or support staff who should note these as precisely as possible on the test paper, without inferring any meaning that was not clear in the signed responses. A note that this has occurred should be written on the front of the test paper. ■ Pupils must not be in a position to see other pupils’ signed responses. ■ The sign for ‘write’ may be substituted for the instructions ‘fill in’, ‘give’, ‘complete’ or ‘say’. ■ Some mathematical concepts, such as likelihood, are difficult to sign. If particular questions involving such concepts cause difficulties in understanding then they may be left until later in the test, allowing pupils to gain confidence on more accessible questions. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 7 Paper 1 questions Notes for signers on specific questions Properties of shape 5 Signers should take care not to indicate the properties of right angles, parallel lines, symmetry and quadrilateral. Which shape? 7 Put a ring round the correct shape. may be signed as: One shape correct, which one? Put a ring round it. Paper 2 questions Notes for signers on specific questions Area 9 Signers should take care not to indicate the properties of a hexagon and a triangle. Turning 17 Signers should take care not to indicate the properties of right angles. The following subject-specific words, symbols or expressions may appear in Paper 1 and/or Paper 2 of the tests. % pair add increase parallel angle kilogram (kg) pattern area kilometres (km) percentage balance less than pictogram bar chart litres quadrilateral base metre (m) rectangle / rectangular centimetre (cm) miles right angle / right-angled chart millilitres (ml) scale diagram minutes shape equation more than square face mph square grid fraction multiply symmetry / line of symmetry graph net table grid number total half number chain triangle / triangular hexagon number grid weigh hour 8 hundredths oval Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Part B: mental mathematics test Introduction See separate Notes for teachers for specific special arrangements which may be made for the administration of the modified versions of the test for pupils with visual and/or hearing impairments. In 2004 the audiotape is coloured yellow. The notes in Part B are for teachers who are supervising the administration of the mental mathematics test. The administration of the modified versions of the test, provided for pupils with visual and/or hearing impairments, is covered in separate, specific Notes for teachers which will accompany schools’ orders of these modified test materials. The mental mathematics test is in the form of a tape or CD, consisting of 20 questions, with a running time of approximately 20 minutes. The tape or CD includes both instructions to pupils and the questions. There will be two opportunities for you to stop the tape or pause the CD. These will be indicated by a bleep. You should not stop the tape or pause the CD at any other point, or add any additional instructions of your own. The first pause comes at the beginning of the tape or CD, once the instructions have been given. This will allow clarification of any of the instructions not understood by the pupils. The second pause is after the practice question. After this second pause, the tape or CD should be allowed to play without interruption. The full text of the instructions and the practice question is provided in this booklet. Administering the mental mathematics test 1. Pupils should have only pens or pencils. They should not have rubbers, rulers, calculators or any other mathematical equipment. Access to paper for working out answers is not allowed. 2. Ensure that each pupil has an answer sheet. Tell pupils to write their name and school in the box at the top of the answer sheet. 3. Ensure the pupils understand that: ■ ■ they will be told how long they have to answer each question and that the time given will increase from 5 to 10 to 15 seconds, as the test progresses through three sections ■ for some of the questions, the information they will need is included in, above or beside the answer box on the pupil answer sheet ■ they are not allowed to use a calculator or any other mathematical equipment ■ if they want to change their answer, they should put a cross through their first answer. They are not allowed to rub out any answers ■ Sourced from SATs-Papers.co.uk they must complete the test on their own without copying or discussing questions with other pupils they should answer as many questions as they can. If they find a question too difficult, they should put a cross in the answer box and wait for the next question http://www.SATs-Papers.co.uk 9 ■ ■ The working order of audio cassette equipment or CD player should be checked carefully in advance of the test, using the 2003 taped test or other suitable tape or CD. they will not be allowed to ask any questions once the test has started the small box to the right of each answer box is for the marker’s use only. 4. Start the tape or CD – instructions will be given to the pupils. The tape or CD will indicate, with a bleep, where you should stop and answer any questions. 5. When the bleep is heard, stop the tape or pause the CD and answer any questions that the pupils may have, to ensure that the instructions are clearly understood. 6. Start the tape or CD – the pupils will be asked a practice question. After a five-second pause for the pupils to answer, a bleep will sound indicating that you should stop the tape or pause the CD again, to answer any questions. 7. Stop the tape or pause the CD when the bleep is heard – ensure that the pupils have correctly placed their answers to the practice question on the answer sheet and ensure that pupils are aware of the information provided in, above or beside the answer box, for some questions. When they are ready to begin the test, tell the pupils that you will not be able to stop the tape or pause the CD again, or answer any further questions, once the tape or CD has restarted. 8. Start the tape or CD – the test will begin. At the end of the test, the pupils will be told to put down their pens or pencils and you should switch off the tape or CD and collect the answer sheets. The following transcript is the introduction to the test which is included at the beginning of the tape or CD, before the questions. Listen carefully to the instructions I am going to give you. When I have finished, your teacher will stop the tape or pause the CD and will answer any questions. However, you will not be able to ask any questions once the test has begun. I will start with a practice question. Then I am going to ask you 20 questions for the test. On your sheet there is an answer box for each question, where you should write the answer to the question and nothing else. You should work out the answer to each question in your head, but you may jot things down outside the answer box if this helps you. Do not try to write down your calculations, because this will waste time and you may miss the next question. For some of the questions, important information is already written down for you on the sheet. I will read out each question twice. Listen carefully both times. You will then have time to work out your answer. If you cannot work out an answer, put a cross in the answer box. If you make a mistake, cross out the wrong answer and write the correct answer next to it. There are some easy and some harder questions, so don’t be put off if you cannot answer a question. 10 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Your teacher will now stop the tape or pause the CD and answer any questions you might have. (BLEEP) Here is the practice question to show you what to do. I will read the question twice, and you will have five seconds to work out the answer and write it in the answer box. Add twenty to the number on your answer sheet. {The question is repeated} Add twenty to the number on your answer sheet. {Five-second pause} (BLEEP) (The 20 questions then follow on the audiotape or CD) Emergency use of transcripts In a genuine emergency situation only, for example when equipment or the tape or CD malfunctions on the day of the test and no alternative provision can be made, the test will need to be read to the pupils. All possible steps must be taken to ensure that equipment is checked in advance of the test so that the taped or CD version can be provided for pupils. In the event that it proves necessary for a teacher to read the test, the 2004 Mental mathematics audio transcript should be read to the pupils. The questions must be read out exactly as written in the transcript. The teacher should start by stating the question number, and then read out each question twice before leaving the 5-, 10- or 15-second response time. These timings must be accurate. Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 11 EARLY YEARS NATIONAL CURRICULUM 5–16 GCSE GNVQ GCE A LEVEL First published in 2004 NVQ © Qualifications and Curriculum Authority 2004 Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher, unless within the terms of licences issued by the Copyright Licensing Agency. OTHER VOCATIONAL QUALIFICATIONS Excerpts may be reproduced for the purpose of research, private study, criticism or review, or by educational institutions solely for educational purposes, without permission, provided full acknowledgement is given. Produced in Great Britain by the Qualifications and Curriculum Authority under the authority and superintendence of the Controller of Her Majesty’s Stationery Office and Queen’s Printer of Acts of Parliament. The Qualifications and Curriculum Authority is an exempt charity under Schedule 2 of the Charities Act 1993. Qualifications and Curriculum Authority 83 Piccadilly London W1J 8QA www.qca.org.uk/ Further teacher packs may be purchased (for any purpose other than statutory assessment) by contacting: QCA Publications, PO Box 99, Sudbury, Suffolk CO10 2SN (tel: 01787 884444; fax: 01787 312950) Order refs: QCA/04/1243 SourcedQCA/04/1241 (teacher pack) from SATs-Papers.co.uk 259916 http://www.SATs-Papers.co.uk