Progress in Understanding Mathematics Assessment (PUMA)

Size: px
Start display at page:

Download "Progress in Understanding Mathematics Assessment (PUMA)"

Transcription

1 Progress in Understanding Mathematics Assessment (PUMA) Interim Manual for Autumn tests Years 3 to 6 Colin McCarty & Caroline Cooke

2 Copyright 2014 Hodder and Stoughton Ltd. Photocopying is prohibited. All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, without permission in writing from the publisher. This publication is excluded from the reprographic licensing scheme administered by the Copyright Licensing Agency Ltd and may not be photocopied. Printed in England for Hodder Education, part of Hachette UK, 338 Euston Road, London NW1 3BH. 2

3 Contents 1 Introduction 04 This interim manual 04 What is PUMA? 04 PUMA Curriculum Maps 04 Why use PUMA? 05 What does PUMA provide? 05 2 Administering the PUMA Tests 06 When to test 06 How to test 06 Group size 06 Timings 06 Preparation 06 Test conditions 06 Administration 06 3 Answers and mark schemes 07 Marking and recording results 07 PUMA 3 Autumn 08 PUMA 4 Autumn 10 PUMA 5 Autumn 12 PUMA 6 Autumn 15 4 Obtaining and interpreting test s 18 Summative measures 18 Reporting progress the PUMA Scale 20 Predicting future performance 22 5 Standardised conversion tables 24 PUMA 3 Autumn 24 PUMA 4 Autumn 25 PUMA 5 Autumn 26 PUMA 6 Autumn 28 3

4 1 Introduction This interim manual for PUMA Autumn We have brought forward publication of the PUMA Autumn tests, so that you can start assessing Mathematics in the Autumn term, as you start using the new National Curriculum. To support you in using the PUMA Autumn tests, we have published this free teacher guidance which provides everything you need to administer and mark the Autumn tests. More extensive teacher guidance, including information relating to the PUMA Spring and Summer tests will be provided in the full PUMA Manuals Stages 1 and 2, which will be published in March 2015, together with the PUMA tests for Spring and Summer. The PUMA Manuals will also include the following information, to assist you when using PUMA across the whole school year: Diagnostic and formative information Pupil profile sheets for each term, to enable you to review patterns of strengths and weaknesses across the year. Further information about interpreting and analysing results Technical information about the standardisation Teacher scripts and mark schemes for the PUMA Spring and Summer tests. In the meantime, should you have any queries about using the PUMA Autumn tests, please What is PUMA? Progress in Understanding Mathematics Assessment (PUMA) is a suite of tests written to the new National Curriculum. PUMA is designed to be used toward the end of each term, to measure and monitor pupils progress term by term, providing reliable, predictive and diagnostic information. The autumn test is a wider span test than the more focused Spring and Summer tests, with questions relating to mathematics covered in earlier years; it should be used to baseline the children (who will have only had at best one term of teaching on this year s curriculum). PUMA is designed for whole-class use, with pupils of all abilities. The tests are easy and quick to administer each taking between minutes, depending on the year and are straightforward to mark. PUMA Curriculum Maps The PUMA tests provide thorough coverage of the new National Curriculum Programme of Study for the particular year. We have created Curriculum Maps, breaking down the Programme of Study for the year term by term. These Curriculum Maps help to define what PUMA assesses each term. The Curriculum Maps can be downloaded from Schools taking part in the standardisation of PUMA followed these Curriculum Maps to guide them in delivering the new National Curriculum, before it was statutory. This made the standardisation of the PUMA tests a valid assessment of the new National Curriculum. 4

5 Why use PUMA? PUMA provides reliable summative information. For example: PUMA uniquely provides three carefully designed tests for each year, enabling you to follow the progress of your pupils from term to term, as well as year to year throughout primary school. Marks have been calibrated onto the PUMA Scale to allow you to follow progress term by term and compare progress to national norms see page 20 for further details. It allows you to predict what they should obtain in subsequent terms and so set meaningful targets. However, if you need to establish a National Curriculum level for each pupil, PUMA tests are calibrated to indicate National Curriculum levels. Also, because it has a diagnostic capability, PUMA enables you to investigate some of the strengths and weaknesses of your pupils mathematics skills. To enable you to use the information in a diagnostic/formative way, total s can be broken down into distinct aspects of mathematics, giving a useful profile which reflects the categories of the new National Curriculum. These are: Number, place value and rounding Addition, subtraction, multiplication and division; algebra Fractions, decimals and percentages, ratio and proportion Measures Geometry: shapes position, direction, motion Statistics, data handling. What does PUMA provide? PUMA provides a standardised assessment of a pupil s mathematics attainment, plus a profile that helps you to identify pupils who may need further teaching and practice, as well as helping you to identify where they are doing well. It provides four global measures of mathematics attainment for each pupil: an age-standardised (from which a percentile can be derived) a Mathematics age a on the PUMA Scale National Curriculum sublevels and APP level. Each test also gives a points (widely used by local authorities). The PUMA test results have been statistically linked from term to term and year to year to enable you to track or predict progress through the whole primary phase. This also enables detailed comparison of individual patterns of performance against the norms and patterns for the term. Underpinning all this is the PUMA Scale: this gives the equivalent of a decimalised level which enables you to monitor small increments of progress from term to term. Although National Curriculum levels are no longer in use, these tests carry forward the standard from 2014, so that you have a measure that may be compared back to previous years, at this time of transition. The PUMA Scale acts as a common spine on which all the PUMA tests across the primary phase are plotted (Table 4.3 on page 20 draws this all together). It provides the statistical basis for predicting pupil progress and future attainment, based on the termly performance data of over 10,000 pupils nationally. 5

6 2 Administering the PUMA tests When to test The PUMA tests have been designed to assess the National Curriculum objectives presented in the PUMA Curriculum Map for that term. They should, ideally, be used just before the end of term. How to test Give each pupil a test booklet and ask them to write their names on the front cover. Before the test, tell pupils these key points: That pupils need to read the questions themselves, but weak readers may be given help with reading the question (see Administration below). There will be some sections they can do easily, particularly the earlier questions. They shouldn t worry if they find some questions difficult. They should just try their best and move on to see if they can answer some of the following questions. Ask them to write answers clearly. If they change their mind, they should cross or rub out the wrong answer and write in the new answer. Group size You can administer the tests to a whole class or large group, if you feel comfortable doing so. With weaker Year 3 children, however, it may be better to work with small groups, with the TA also delivering the test for example, five or six children of similar ability so that pauses can be taken, if required. Timings A maximum time limit of 50 minutes is advised for the Year 3 and 4 tests, and 60 minutes for the Year 5 and 6 tests. In the PUMA standardisation we found that it took well under one minute for a mark for most pupils, unless they were particularly hesitant or slow workers, where extra time may be allowed. Preparation Each pupil will need the appropriate test booklet and a pencil or pen. Test conditions For results to be reliable, it is important that the pupils work alone, without copying or discussing their answers. Administration If any pupils are uncertain about what they need to do, you may give additional explanation to help them understand the requirements of the test. Do not, however, help with the mathematical content of the question or read out any of the actual numbers that form part of the question. 6

7 3 Answers and mark schemes Marking and recording results Use the box in the right-hand margin alongside each question in the test booklets to record marks. Some questions have more than one part, or attract more than one mark, so please follow the mark scheme carefully. No half-marks should be awarded. Beneath each box there are code letters indicating the category of maths the question focuses on (using abbreviations for numeracy, operations, fractions, geometry, measures, statistics and problem solving). If you would like to profile the pupil s performance, add up the number of marks they have obtained in each coded category and record them on the front cover of the test booklet. You can record total marks for the page at the bottom of each page in the test booklets. Then add together the page s to find each pupil s total raw and record this at the bottom of the front cover. Please use your professional judgement when marking. For example, accept mirror reversals of single digits but not reversals of double-digit numbers. Equally, any clear indication of the answer is acceptable, irrespective of what was asked for (e.g. an object ticked instead of circled). When you have calculated the total raw for each pupil, refer to the conversion tables to obtain: the age-standardised Mathematics age PUMA Scale plus National Curriculum sublevel and APP level, as required. See Section 4: Obtaining and interpreting test s on page 18 for further details. 7

8 PUMA 3 Autumn answers and mark scheme Answer Category NC level 1 8, PS 1b 2 Join boy to the cylinder and girl to the triangular prism. geom 2b Both required = 3 1a = 9 Both required. No mark if more than these two ticked. 4 Any four small triangles shaded frac 2b 5 (a) 40 (b) 30 num num 2b 2a 6 27, 31 and 55 circled num 2c No mark if more than these three circled. 7 (a) 60 2c (b) 11 2b 8 (a) France stat 2c (b) Greece and Turkey stat 1a (c) 25 stat, PS 2c 9 14 children, PS 2a 10 (a) Pencil and Pad (b) A 20p, 5p and a 2p circled No mark for 10p, 10p, 5p, 2p. meas, PS meas, PS 11 14cm meas 12 A cross on the pentagon in the hexagons section geom 2a , 223, 230, 302, 320 num 2b 2b 2c 14 Any two identical numbers Accept two zeros and 103 num 2c 2c 445 and 145 num 2c 16 Crosses drawn on both parallelogram and right-angled geom 3a triangle only groups, PS c 19 Both 740 and 46 only num 20 Square correctly completed within 2mm of correct vertex, even if ruler not used geom 8

9 c 8 All three correct for 2 marks, two correct for 1 mark frac 3a 23 geom num, PS 3c a 26 (a) 40 minutes (b) any one section shaded on cake on left any two sections shaded on cake on right meas frac 3a 3a Both required Vertical faces need not be shaded frac frac 3a 4c frac 3a frac 3a 28 ¾ 1½ Both joined near enough to be unambiguous ½ ¾ 1½ a 30 30cm or 0.3m if unit altered meas, PS 4b PUMA 3 Autumn: Analysis of performance by category Category Number of National marks average mark National % Number Operations Fractions Measures Geometry Statistics Total Problem solving

10 PUMA 4 Autumn answers and mark scheme Answer Category NC level c 2 47p meas 2c 3 (a) D (b) C geom geom 2b 2a 4 (a) 25 children (b) 9 girls, PS 2c 2b 5 16mph meas 2a 6 Any two rectangles shaded frac 2a num 2b 8 24 and 48 num 2b Both required. 9 C and D only geom 3c cherries, PS 2a 11 num 3c rounds to 150 rounds to 160 rounds to All four numbers correct num 3c All three required. 13 (a) Isosceles triangle and trapezium ticked, only. geom 3c (b) Trapezium (correct spelling not required) geom 4b Do not accept quadrilateral minutes meas 3c 15 4 num 2a and 7 3 or 3 7 num 2a Both required. 17 (a) Ben and Sarah stat 2c (b) 15 (accept 15.00, but not 15.0) stat, PS 3a (c) 80 (accept 80.00, but not 80.0) stat, PS 4c frac Accept 7 3 / / 3 and 4 2 / 3 frac 3c Both required. 20 < < > 3a weeks meas 3a frac 4c 10

11 23 1 frac / c 1 / frac 4c 4 / jugs meas 3a eggs frac 4c 26 (8, 3) geom 4c num 3c Accept with or without space or comma or 938 num, PS 3a 29 (a) 9 flags, PS, PS 4b (b) 8 flags 4b b PUMA 4 Autumn: Analysis of performance by category Category Number of National marks average mark National % Number Operations Fractions Measures Geometry Statistics Total Problem solving

12 PUMA 5 Autumn answers and mark scheme Answer Category NC level 1 35 pebbles 2a 2 Any four rectangles shaded. frac 3 (a) 7 children (b) 22 children stat, PS stat, PS 2a 2a 4 2¾ and 1¼ frac 4b 5 Bottom right geom 3c mirror line 6 (a) 70 (b) Any one of 32, 33 or 34 num num 2a 3c 7 52 sweets, PS 3c 8 4.5cm 2 or 4½ cm 2 meas 4c and 2.1 Both required. frac 3c num 10 All four correct to to to to 800 over / 8 frac 12 (a) 3.54 (b) 6.46 Accept follow through, i.e. if the answer to (a) and (b) add up to 10 (c) 8 meas meas, PS meas, PS 3a 4c 12

13 a 14 (a) 764 (b) 647 or , 2, 3, 5, 6, 10, 15, 30 All required for the mark. Do not penalise incorrect ordering, the instruction is there to assist marking. 16 (a) 3 (b) (a) 6 edges (b) 8 faces (c) 12 vertices 18 (a) 20 (b) 75 (c) can t tell num, PS num, PS geom, PS geom, PS geom stat stat stat 2a 3c 4b 3a 4c 3a 4a 4a 3c 3a , PS 4a 20 (a) 60 (b) 90 (c) 40 frac frac frac 4a 5c num 3a 22 5 cups meas 23 1 hr 40 min meas 4a a 8 or 9 for 2 marks; 6 or 7 correct for 1 mark mark for both nearest 100 i.e and mark for both nearest 1000 i.e and (a) 100 (b) 7500 num num 4b 4a 4b 4b 13

14 27 2 frac / / 2 2 / frac 5c 28 (a) A and C only (b) C and E only geom geom 4b 5c and 29 only 4a 30 (a) 2 / 3 < 5 / 6 frac 4b (b) 3 / 4 > 8 frac 4b / a = 3cm b = 7cm Both required. meas 5c c PUMA 5 Autumn: Analysis of performance by category Category Number of National marks average mark National % Number Operations Fractions Measures Geometry Statistics Total Problem solving

15 PUMA 6 Autumn answers and mark scheme Answer and 1152 Both required. 2 4¾ and 5¼ respectively Both required. 3 (a) 22 (b) 90 Category num frac, SP frac NC level 3c 3c 3c 4 Rectangle and both triangles ticked only geom Accept 3.75p, 3-75, 3-75p. Do not accept 375 or 375p. 6 95km/h Accept meas meas 3c and 32 Both required. 15 and 45 Both required. 9, PS num 3c positioned closer to middle i.e. 2500, than 2000 or 3000 Accept arrows in the range 2250 and /4, 0.52 and 55% only frac 3a 11 number of edges number of faces number of vertices geom geom 4c 4a cube triangular prism square based pyramid All correct for 2 marks; any 2 rows correct for 1 mark. 12 Only 164g and 159g ticked num 4c 15

16 c 3a or 8 correct for 2 marks; 5 or 6 correct for 1 mark cm 15 (a) Range 85-86cm (b) Range months (c) Range 2-3cm (d) Range cm stat stat, PS stat, PS stat, PS 3a 4b 4b 6c weeks 4b 18 (a) 3 / 10 frac 4c (b) 1 / 3 frac 5b 19 kilograms 5kg 2.4kg ½kg grams 5000g 2400g 500g meas meas 12.5kg or 12½ kg g All correct for 2 marks; 2 correct for 1 mark. 20 (a) 128, PS 4c (b) 30 people 4a and num 4c 22 Tom frac, PS 4b b / 8, 6¼, 6½, 6 5 / 8, 6¾ frac 4a All required. 25 (a) 3000 (b) 60 num num 4c 3a 4c 26 1, 2, 3 and 6 only. Ignore the omission of 1 27 (a) 54cm 2 (b) 48cm meas meas 5b 5a 4a 16

17 28 Multiples of 7 are even Always Sometimes Never, PS 3a Prime numbers have exactly two factors, PS 6c Square numbers have an odd number of factors All correct for 2 marks; 2 correct for 1 mark frac 3a a All correct for 2 marks; 2 correct for 1 mark. frac 30 Top vertex geom, PS 5b frac 5c 32 28cm meas, PS 5b 33 (8, 10) geom, PS 5a 34 (a) (b) Accept answer for part (b) if it is greater than the answer for part (a) num, PS 6c 5c 5a PUMA 6 Autumn: Analysis of performance by category Category Number of National marks average mark National % Number Operations Fractions Measures Geometry Statistics Total Problem solving

18 4 Obtaining and interpreting test s Summative measures The results obtained from PUMA will enable you to report pupil performance in terms of: Age-standardised s (see Section 5) Mathematics ages (Table 4.2) National Curriculum sublevels (Table 4.3) APP level, subdivided as high, secure and low (Table 4.3) The PUMA Scale (Table 4.3). For a swift overview, you could compare how well a pupil has done by comparison to Table 4.1, which shows average s for each year group, by gender, for each PUMA test. You can also compare your own class average raw s against these averages. Table 4.1: Average test s by term and gender Autumn test Year Boys Girls Total

19 PUMA 3 Autumn raw Mathematics ages Many teachers use Mathematics ages as a quick reference: they shows the average chronological age of the pupils who obtained each particular raw (i.e. the chronological age at which this level of performance is typical). For more detailed comparative information, however, and especially for tracking progress over time, please refer to standardised s. Table 4.2: Mathematics ages for the Autumn term Mathematics age PUMA 4 Autumn raw Mathematics age PUMA 5 Autumn raw Mathematics age PUMA 6 Autumn raw Mathematics age 1 <7.0 1 <8:3 1 <9:0 1 <10:1 2 <7.0 2 <8:3 2 <9:0 2 <10:1 3 <7.0 3 <8:3 3 <9:0 3 <10:1 4 <7.0 4 <8:3 4 <9:0 4 <10:1 5 <7.0 5 <8:3 5 <9:0 5 <10:1 6 <7.0 6 <8:3 6 <9:0 6 <10:1 7 <7.0 7 <8:3 7 <9:0 7 <10:1 8 <7.0 8 <8:3 8 <9:0 8 <10:1 9 <7.0 9 <8:3 9 <9:0 9 <10:1 10 < <8:3 10 <9:0 10 <10:1 11 < <8:3 11 <9:0 11 <10:1 12 < <8:3 12 <9:0 12 <10:1 13 7:0 13 <8:3 13 <9:0 13 <10:1 14 7:2 14 <8:3 14 9:0 14 <10:1 15 7:4 15 8:3 15 9:1 15 <10:1 16 7:5 16 8:4 16 9:2 16 <10:1 17 7:7 17 8:7 17 9:4 17 <10:1 18 7:8 18 8:8 18 9:5 18 <10:1 19 7: :9 19 9:7 19 <10:1 20 8:0 20 8: :8 20 <10:1 21 8:1 21 9:1 21 9: :1 22 8:3 22 9:2 22 9: :3 23 8:4 23 9: : :5 24 8:6 24 9: : :8 25 8:7 25 9: : : :9 26 9: : :1 27 8: : : :4 28 9: : : :7 29 9: : : :9 30 >9:2 30 >10: : :0 31 >9:2 31 >10: : :2 32 >9:2 32 >10: : :5 33 >9:2 33 >10: :3 33 >12:5 34 >9:2 34 >10:2 34 >11:3 34 >12:5 35 >9:2 35 >10:2 35 >11:3 35 >12:5 36 >9:2 36 >10:2 36 >11:3 36 >12:5 37 >9:2 37 >10:2 37 >11:3 37 >12:5 38 >9:2 38 >10:2 38 >11:3 38 >12:5 39 >9:2 39 >10:2 39 >11:3 39 >12:5 40 >9:2 40 >10:2 40 >11:3 40 >12:5 41 >11:3 41 >12:5 42 >11:3 42 >12:5 43 >11:3 43 >12:5 44 >11:3 44 >12:5 45 >11:3 45 >12:5 46 >11:3 46 >12:5 47 >11:3 47 >12:5 48 >11:3 48 >12:5 49 >11:3 49 >12:5 50 >11:3 50 >12:5 19

20 Reporting progress the PUMA Scale In developing the PUMA tests, seven cohorts of 1,000+ pupils (just over 8,000 pupils in total) were tracked termly over four terms. Relating this data together statistically through the PUMA Scale enables you to link pupil performance from term to term and year to year. It provides a firm basis on which to project future performance. Table 4.3 provides a complete set of reference data for reporting progress for each test in terms of the PUMA Scale (and, for reference, National Curriculum and APP levels and LA points s). Find the raw in the column for the test your pupils have taken, then read across to obtain the level information in the form you require. Table 4.3: Relating s to different scales Years 3 4 PUMA Scale PUMA 3 Autumn raw PUMA 4 Autumn raw NC sublevels APP range Points PUMA Scale 1.0 <5 <3 1c 1L c 1L c 1S b 1S b 1S b 1S b 1S a 1S a 1H a 1H c 2L c 2L c 2S b 2S b 2S b 2S b 2S a 2S a 2H a 2H c 3L c 3L c 3S S S S S a 3S a 3H a 3H c 4L c 4L c 4S b 4S b 4S b 4S b 4S a 4S a 4H a 4H c 5L c 5L c 5S

21 Years 5 6 PUMA Scale PUMA 5 Autumn raw PUMA 6 Autumn raw NC sublevels APP range Points PUMA Scale 1.0 <3 1c 1L <3 1c 1L <3 1c 1S <3 1b 1S <3 1b 1S <3 1b 1S <3 1b 1S a 1S a 1H a 1H c 2L c 2L c 2S b 2S b 2S b 2S b 2S a 2S a 2H a 2H c 3L c 3L c 3S S S S S a 3S a 3H a 3H c 4L c 4L c 4S b 4S b 4S b 4S b 4S a 4S a 4H a 4H c 5L c 5L c 5S b 5S b 5S b 5S b 5S a 5S a 5H a 5H c 6L

22 Predicting future performance The tests for each term cover a range of demand appropriate to the year and term. In Table 4.4 below you can see at a glance the PUMA Scale of a pupil in any term and track to the next column to find the anticipated PUMA Scale they will obtain, if they make average progress. As the tests are designed to challenge pupils around the level at which they are expected to be working, you may find that pupils get similar raw s from term to term across a year, but their level of performance will continue to increase, as shown in the PUMA Scale,. You may wish to set targets, to provide an opportunity to measure the value added over a term or year. This is possible for both individual pupils and whole classes, by reference to the average performance data of over 1,000 pupils in each year group, from term to term and across all the years, in the standardisation sample. Table 4.4 provides this information. Monitoring the difference between the actual PUMA Scale and the predicted average PUMA Scale enables you to see if able children increasingly diverge from predicted progress or weaker children begin to converge toward normal progress. [See Table 4.4 on the next page] 22

23 Table 4.4: Monitoring and predicting progress from Autumn to Spring terms Average PUMA 3 Autumn PUMA Scale Average PUMA 3 Spring PUMA Scale Average PUMA 4 Autumn PUMA Scale Average PUMA 4 Spring PUMA Scale Average PUMA 5 Autumn PUMA Scale Average PUMA 5 Spring PUMA Scale Average PUMA 6 Autumn PUMA Scale Average PUMA 6 Spring PUMA Scale

24 Raw 5 Standardised conversion tables Age-standardised s for PUMA 3 Autumn Age in years and months 7:00 7:1 7:2 7:3 7:4 7:5 7:6 7:7 7:8 7:9 7:10 7:11 8:00 8:01 8:02 8:03 8:04 8:05 8:06 8:07 8:08 8:09 8:10 8:11 9:00 9:01 9: Award < 69 for all s in this area Award > 130 for all s in this area

25 Age-standardised s for PUMA 4 Autumn Raw Age In years and months 8:3 8:4 8:5 8:6 8:7 8:8 8:9 8:10 8:11 9:0 9: :3 9:4 9:5 9:6 9:7 9:8 9:9 9:10 9:11 10:0 10:1 10: Award < 69 for all s in this area Award > 131 for all s in this area

26 Age-standardised s for PUMA 5 Autumn Raw Age in years and months 9:0 9:1 9:2 9:3 9:4 9:5 9:6 9:7 9:8 9:9 9:10 9:11 10:0 10:1 10:2 10:3 10:4 10:5 10:6 10:7 10:8 10:9 10:10 10:11 11:0 11:01 11:2 11: Award < 69 for all s in this area [Table continues on next page] 26

27 [PUMA 5 Table cont.] Raw Age in years and months 9:0 9:1 9:2 9:3 9:4 9:5 9:6 9:7 9:8 9:9 9:10 9:11 10:0 10:1 10:2 10:3 10:4 10:5 10:6 10:7 10:8 10:9 10:10 10:11 11:0 11:01 11:2 11: Award > 131 for all s in this area

28 Age-standardised s for PUMA 6 Autumn Raw Age in years and months 10:1 10:2 10:3 10:4 10:5 10:6 10:7 10:8 10:9 10:10 10:11 11:0 11:1 11:2 11:3 11:4 11:5 11:6 11:7 11:8 11:9 11:10 11:11 12:0 12:1 12:2 Award < 70 for all s in this area [Table continues on next page] 28

29 [PUMA 6 Table cont.] Raw Age in years and months 10:1 10:2 10:3 10:4 10:5 10:6 10:7 10:8 10:9 10:10 10:11 11:0 11:1 11:2 11:3 11:4 11:5 11:6 11:7 11:8 11:9 11:10 11:11 12:0 12:1 12: Award > 131 for all s in this area

Progress in Reading Assessment (PiRA) Second edition

Progress in Reading Assessment (PiRA) Second edition Progress in Reading Assessment (PiRA) Second edition Interim Manual for Autumn tests Years & 2 (updated) Colin McCarty & Kate Ruttle Contents Introduction 3 This interim manual for PiRA Autumn What is

More information

Mark schemes for Paper 1, Paper 2 and Mental mathematics

Mark schemes for Paper 1, Paper 2 and Mental mathematics Ma YEAR 7 LEVELS 3 4 2003 Year 7 progress test in mathematics Mark schemes for Paper 1, Paper 2 and Mental mathematics 2003 2003 Year 7 Progress Mathematics Test Mark Scheme Introduction Introduction The

More information

Paper 1. Mathematics test. Calculator not allowed. First name. Last name. School KEY STAGE TIER

Paper 1. Mathematics test. Calculator not allowed. First name. Last name. School KEY STAGE TIER Ma KEY STAGE 3 TIER 4 6 2005 Mathematics test Paper 1 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your

More information

Mathematics tests. Mark schemes KEY STAGE 2. Test A, Test B and Mental mathematics LEVELS 3 5. National curriculum assessments

Mathematics tests. Mark schemes KEY STAGE 2. Test A, Test B and Mental mathematics LEVELS 3 5. National curriculum assessments Ma KEY STAGE 2 LEVELS 3 5 Mathematics tests Mark schemes Test A, Test B and Mental mathematics 2009 National curriculum assessments QCA wishes to make its publications widely accessible. Please contact

More information

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 4 6

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 4 6 Ma KEY STAGE 3 Mathematics test TIER 4 6 Paper 1 Calculator not allowed First name Last name School 2007 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You

More information

SAMPLE BOOKLET Published July 2015

SAMPLE BOOKLET Published July 2015 National curriculum tests Key stage 2 Mathematics Mark schemes SAMPLE BOOKLET Published July 2015 This sample test indicates how the national curriculum will be assessed from 2016. Further information

More information

Year 9 mathematics test

Year 9 mathematics test Ma KEY STAGE 3 Year 9 mathematics test Tier 6 8 Paper 1 Calculator not allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start.

More information

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 5 7

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 5 7 Ma KEY STAGE 3 Mathematics test TIER 5 7 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You

More information

2016 national curriculum tests. Key stage 2. Mathematics test mark schemes. Paper 1: arithmetic Paper 2: reasoning Paper 3: reasoning

2016 national curriculum tests. Key stage 2. Mathematics test mark schemes. Paper 1: arithmetic Paper 2: reasoning Paper 3: reasoning 2016 national curriculum tests Key stage 2 Mathematics test mark schemes Paper 1: arithmetic Paper 2: reasoning Paper 3: reasoning Contents 1. Introduction 3 2. Structure of the key stage 2 mathematics

More information

Unit 8 Angles, 2D and 3D shapes, perimeter and area

Unit 8 Angles, 2D and 3D shapes, perimeter and area Unit 8 Angles, 2D and 3D shapes, perimeter and area Five daily lessons Year 6 Spring term Recognise and estimate angles. Use a protractor to measure and draw acute and obtuse angles to Page 111 the nearest

More information

Bridgewater Primary School

Bridgewater Primary School Understanding Assessment in Bridgewater Primary School Thursday 5 th November 2015 Reason for Assessment Update The changes to assessments in line with the new curriculum. Purpose of Assessment 1. Help

More information

Year 9 mathematics test

Year 9 mathematics test Ma KEY STAGE 3 Year 9 mathematics test Tier 5 7 Paper 1 Calculator not allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start.

More information

Year 3 Mental Arithmetic Test Questions

Year 3 Mental Arithmetic Test Questions Year 3 Mental Arithmetic Test Questions Equipment Required Printed question and answer sheet for the reader Printed blank answer page for child Stopwatch or timer Pencil No other equipment is required

More information

Mathematics Second Practice Test 1 Levels 4-6 Calculator not allowed

Mathematics Second Practice Test 1 Levels 4-6 Calculator not allowed Mathematics Second Practice Test 1 Levels 4-6 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school

More information

MATHEMATICS TEST. Paper 1 calculator not allowed LEVEL 6 TESTS ANSWER BOOKLET. First name. Middle name. Last name. Date of birth Day Month Year

MATHEMATICS TEST. Paper 1 calculator not allowed LEVEL 6 TESTS ANSWER BOOKLET. First name. Middle name. Last name. Date of birth Day Month Year LEVEL 6 TESTS ANSWER BOOKLET Ma MATHEMATICS TEST LEVEL 6 TESTS Paper 1 calculator not allowed First name Middle name Last name Date of birth Day Month Year Please circle one Boy Girl Year group School

More information

Calculator allowed. School

Calculator allowed. School Ma KEY STAGE 3 Mathematics test TIER 6 8 Paper 2 Calculator allowed First name Last name School 2008 Remember The test is 1 hour long. You may use a calculator for any question in this test. You will need:

More information

EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES. Maths Level 2. Chapter 5. Shape and space

EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES. Maths Level 2. Chapter 5. Shape and space Shape and space 5 EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES Maths Level 2 Chapter 5 Shape and space SECTION H 1 Perimeter 2 Area 3 Volume 4 2-D Representations of 3-D Objects 5 Remember what you

More information

Which two rectangles fit together, without overlapping, to make a square?

Which two rectangles fit together, without overlapping, to make a square? SHAPE level 4 questions 1. Here are six rectangles on a grid. A B C D E F Which two rectangles fit together, without overlapping, to make a square?... and... International School of Madrid 1 2. Emily has

More information

Numeracy Targets. I can count at least 20 objects

Numeracy Targets. I can count at least 20 objects Targets 1c I can read numbers up to 10 I can count up to 10 objects I can say the number names in order up to 20 I can write at least 4 numbers up to 10. When someone gives me a small number of objects

More information

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 4 6

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 4 6 Ma KEY STAGE 3 Mathematics test TIER 4 6 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You

More information

Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3

Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3 Ma Data Hling: Interpreting Processing representing Ma Shape, space measures: position shape Written Mental method s Operations relationship s between them Fractio ns Number s the Ma1 Using Str Levels

More information

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 6 8

Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 6 8 Ma KEY STAGE 3 Mathematics test TIER 6 8 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You

More information

GCSE Mathematics. Foundation Tier Unit 3 Geometry and Algebra Mark scheme. 43603F November 2015. Version 1.1 Final

GCSE Mathematics. Foundation Tier Unit 3 Geometry and Algebra Mark scheme. 43603F November 2015. Version 1.1 Final GCSE Mathematics Foundation Tier Unit 3 Geometry and Algebra Mark scheme 43603F November 20 Version 1.1 Final Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant

More information

Mathematics. Introduction

Mathematics. Introduction Mathematics Introduction Numeracy is a core subject within the National Curriculum. This policy outlines the purpose, nature and management of the mathematics taught and learned in our school. Mathematics

More information

G3-33 Building Pyramids

G3-33 Building Pyramids G3-33 Building Pyramids Goal: Students will build skeletons of pyramids and describe properties of pyramids. Prior Knowledge Required: Polygons: triangles, quadrilaterals, pentagons, hexagons Vocabulary:

More information

Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.

Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used. Centre No. Candidate No. Paper Reference 1 3 8 0 1 F Paper Reference(s) 1380/1F Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier Monday 7 June 2010 Afternoon Time: 1 hour

More information

Area of Parallelograms, Triangles, and Trapezoids (pages 314 318)

Area of Parallelograms, Triangles, and Trapezoids (pages 314 318) Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base

More information

Wednesday 15 January 2014 Morning Time: 2 hours

Wednesday 15 January 2014 Morning Time: 2 hours Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 4H Centre Number Wednesday 15 January 2014 Morning Time: 2 hours Candidate Number

More information

Wigan LEA Numeracy Centre. Year 3 Time Block 3 Mental Arithmetic Test Questions

Wigan LEA Numeracy Centre. Year 3 Time Block 3 Mental Arithmetic Test Questions Wigan LEA Numeracy Centre Year 3 Time Block 3 Mental Arithmetic Test Questions Produced by Wigan Numeracy Centre September 2000 Test 3 (end of week 2) Year 3 Block 3 I will read every question twice. In

More information

Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms.

Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

More information

Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.

Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square. Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional

More information

Year 8 mathematics test

Year 8 mathematics test Ma KEY STAGE 3 Year 8 mathematics test TIER 4 6 Paper 1 Calculator not allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start.

More information

THE QUEEN S SCHOOL Assessment Policy

THE QUEEN S SCHOOL Assessment Policy The Queen s Church of England Primary School Encouraging every child to reach their full potential, nurtured and supported in a Christian community which lives by the values of Love, Compassion and Respect.

More information

Key Stage 2 / 35. Mathematics Paper 2: reasoning. National curriculum tests. Total Marks. Reasoning: Paper 2, Test 1: GAPPS EDUCATION.

Key Stage 2 / 35. Mathematics Paper 2: reasoning. National curriculum tests. Total Marks. Reasoning: Paper 2, Test 1: GAPPS EDUCATION. National curriculum tests Key Stage 2 Mathematics Paper 2: reasoning MA First name Middle name Last name Date of birth Day Month Year School name Total Marks / 35 Instructions You may not use a calculator

More information

ALGEBRA. sequence, term, nth term, consecutive, rule, relationship, generate, predict, continue increase, decrease finite, infinite

ALGEBRA. sequence, term, nth term, consecutive, rule, relationship, generate, predict, continue increase, decrease finite, infinite ALGEBRA Pupils should be taught to: Generate and describe sequences As outcomes, Year 7 pupils should, for example: Use, read and write, spelling correctly: sequence, term, nth term, consecutive, rule,

More information

Volume of Pyramids and Cones

Volume of Pyramids and Cones Volume of Pyramids and Cones Objective To provide experiences with investigating the relationships between the volumes of geometric solids. www.everydaymathonline.com epresentations etoolkit Algorithms

More information

Geometry Progress Ladder

Geometry Progress Ladder Geometry Progress Ladder Maths Makes Sense Foundation End-of-year objectives page 2 Maths Makes Sense 1 2 End-of-block objectives page 3 Maths Makes Sense 3 4 End-of-block objectives page 4 Maths Makes

More information

Oral and mental starter

Oral and mental starter Lesson Objectives Order fractions and position them on a number line (Y6) Vocabulary gauge, litre numerator, denominator order Resources OHT. individual whiteboards (optional) Using fractions Oral and

More information

2016 national curriculum assessments. Key stage 1. Interim teacher assessment frameworks at the end of key stage 1. September 2015

2016 national curriculum assessments. Key stage 1. Interim teacher assessment frameworks at the end of key stage 1. September 2015 2016 national curriculum assessments Key stage 1 Interim teacher assessment frameworks at the end of key stage 1 September 2015 2016 National national Curriculum curriculum assessments Interim teacher

More information

Paper 2. Year 9 mathematics test. Calculator allowed. Remember: First name. Last name. Class. Date

Paper 2. Year 9 mathematics test. Calculator allowed. Remember: First name. Last name. Class. Date Ma KEY STAGE 3 Year 9 mathematics test Tier 6 8 Paper 2 Calculator allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start. Write

More information

You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used. Write your name here Surname Other names Pearson Edexcel International GCSE Mathematics A Paper 1FR Centre Number Tuesday 6 January 2015 Afternoon Time: 2 hours Candidate Number Foundation Tier Paper Reference

More information

SGS4.3 Stage 4 Space & Geometry Part A Activity 2-4

SGS4.3 Stage 4 Space & Geometry Part A Activity 2-4 SGS4.3 Stage 4 Space & Geometry Part A Activity 2-4 Exploring triangles Resources required: Each pair students will need: 1 container (eg. a rectangular plastic takeaway container) 5 long pipe cleaners

More information

Geometry of 2D Shapes

Geometry of 2D Shapes Name: Geometry of 2D Shapes Answer these questions in your class workbook: 1. Give the definitions of each of the following shapes and draw an example of each one: a) equilateral triangle b) isosceles

More information

Hillocks Primary and Nursery School

Hillocks Primary and Nursery School Hillocks Primary and Nursery School Policy for Assessment, recording and reporting. 1 POLICY FOR ASSESSMENT, RECORDING AND REPORTING Introduction At Hillocks, the key purpose for assessment is to move

More information

Teaching Guidelines. Knowledge and Skills: Can specify defining characteristics of common polygons

Teaching Guidelines. Knowledge and Skills: Can specify defining characteristics of common polygons CIRCLE FOLDING Teaching Guidelines Subject: Mathematics Topics: Geometry (Circles, Polygons) Grades: 4-6 Concepts: Property Diameter Radius Chord Perimeter Area Knowledge and Skills: Can specify defining

More information

Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used. Centre No. Candidate No. Paper Reference 1 3 8 0 2 F Paper Reference(s) 1380/2F Edexcel GCSE Mathematics (Linear) 1380 Paper 2 (Calculator) Foundation Tier Friday 12 November 2010 Morning Time: 1 hour

More information

With your year 3 class

With your year 3 class With your year 3 class Developed for the new 2014 Curriculum Written by maths expert Peter Clarke and his team Get the most out of your Busy Ant Maths Evaluation Pack Contents: - sample lessons from the

More information

10-4-10 Year 9 mathematics: holiday revision. 2 How many nines are there in fifty-four?

10-4-10 Year 9 mathematics: holiday revision. 2 How many nines are there in fifty-four? DAY 1 Mental questions 1 Multiply seven by seven. 49 2 How many nines are there in fifty-four? 54 9 = 6 6 3 What number should you add to negative three to get the answer five? 8 4 Add two point five to

More information

Monday 11 June 2012 Afternoon

Monday 11 June 2012 Afternoon THIS IS A NEW SPECIFICATION F Monday 11 June 2012 Afternoon GCSE MATHEMATICS B J567/01 Paper 1 (Foundation Tier) *J517110612* Candidates answer on the Question Paper. OCR supplied materials: None Other

More information

9 Areas and Perimeters

9 Areas and Perimeters 9 Areas and Perimeters This is is our next key Geometry unit. In it we will recap some of the concepts we have met before. We will also begin to develop a more algebraic approach to finding areas and perimeters.

More information

Shape Dictionary YR to Y6

Shape Dictionary YR to Y6 Shape Dictionary YR to Y6 Guidance Notes The terms in this dictionary are taken from the booklet Mathematical Vocabulary produced by the National Numeracy Strategy. Children need to understand and use

More information

The teacher gives the student a ruler, shows her the shape below and asks the student to calculate the shape s area.

The teacher gives the student a ruler, shows her the shape below and asks the student to calculate the shape s area. Complex area Georgia is able to calculate the area of a complex shape by mentally separating the shape into familiar shapes. She is able to use her knowledge of the formula for the area of a rectangle

More information

9 Area, Perimeter and Volume

9 Area, Perimeter and Volume 9 Area, Perimeter and Volume 9.1 2-D Shapes The following table gives the names of some 2-D shapes. In this section we will consider the properties of some of these shapes. Rectangle All angles are right

More information

Mathematics mark schemes

Mathematics mark schemes Ma KEY STAGE 2 Mathematics tests LEVEL 6 Mathematics mark schemes Paper 1 and Paper 2 2015 National curriculum tests 2 2015 key stage 2 level 6 mathematics tests mark schemes [BLANK PAGE] This page is

More information

Prettygate Junior School. Assessment, Recording and Reporting Policy. Date: Summer 2015 Review: Summer 2018

Prettygate Junior School. Assessment, Recording and Reporting Policy. Date: Summer 2015 Review: Summer 2018 Prettygate Junior School Assessment, Recording and Reporting Policy Date: Summer 2015 Review: Summer 2018 Vision Ensuring a safe, welcoming environment where everyone is valued Providing experiences to

More information

Assessment Without Levels

Assessment Without Levels Assessment reform As part of our reforms to the national curriculum, the current system of levels used to report children s attainment and progress will be removed from September 2014 and will not be replaced.

More information

Grade 8 Mathematics Geometry: Lesson 2

Grade 8 Mathematics Geometry: Lesson 2 Grade 8 Mathematics Geometry: Lesson 2 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside

More information

Assessment without Levels - Age Related Bands

Assessment without Levels - Age Related Bands Assessment without Levels - Age Related Assessment lies at the heart of the process of promoting children s learning. It has a clear purpose at Great Easton Church of England Primary School for everyone

More information

Day 1. Mental Arithmetic Questions. 1. What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle?

Day 1. Mental Arithmetic Questions. 1. What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle? Mental Arithmetic Questions 1. What number is five cubed? KS3 MATHEMATICS 10 4 10 Level 6 Questions Day 1 2. A circle has radius r. What is the formula for the area of the circle? 3. Jenny and Mark share

More information

Mark Scheme (Results) June 2011. GCSE Mathematics (1380) Paper 1F (Non-Calculator)

Mark Scheme (Results) June 2011. GCSE Mathematics (1380) Paper 1F (Non-Calculator) Mark Scheme (Results) June 2011 GCSE Mathematics (1380) Paper 1F (Non-Calculator) Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. We provide a wide range

More information

Mark Scheme (Results) November 2013. Pearson Edexcel GCSE in Mathematics Linear (1MA0) Higher (Non-Calculator) Paper 1H

Mark Scheme (Results) November 2013. Pearson Edexcel GCSE in Mathematics Linear (1MA0) Higher (Non-Calculator) Paper 1H Mark Scheme (Results) November 2013 Pearson Edexcel GCSE in Mathematics Linear (1MA0) Higher (Non-Calculator) Paper 1H Edexcel and BTEC Qualifications Edexcel and BTEC qualifications are awarded by Pearson,

More information

ISAT Mathematics Performance Definitions Grade 4

ISAT Mathematics Performance Definitions Grade 4 ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers

More information

CAMI Education linked to CAPS: Mathematics

CAMI Education linked to CAPS: Mathematics - 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

More information

Year 9 mathematics test

Year 9 mathematics test Ma KEY STAGE 3 Year 9 mathematics test Tier 3 5 Paper 2 Calculator allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start. Write

More information

A s h o r t g u i d e t o s ta n d A r d i s e d t e s t s

A s h o r t g u i d e t o s ta n d A r d i s e d t e s t s A short guide to standardised tests Copyright 2013 GL Assessment Limited Published by GL Assessment Limited 389 Chiswick High Road, 9th Floor East, London W4 4AL www.gl-assessment.co.uk GL Assessment is

More information

Test A. Calculator not allowed. Mathematics test. First name. Last name. School. DCSF no. KEY STAGE LEVELS

Test A. Calculator not allowed. Mathematics test. First name. Last name. School. DCSF no. KEY STAGE LEVELS Ma KEY STAGE 2 LEVELS 3 5 Mathematics test Test A Calculator not allowed First name Last name School DCSF no. 2010 For marker s use only Page 5 7 9 11 13 15 17 19 21 TOTAL Marks These three children appear

More information

Cambridge International Examinations Cambridge Primary Checkpoint

Cambridge International Examinations Cambridge Primary Checkpoint Cambridge International Examinations Cambridge Primary Checkpoint MATHEMATICS 0845/02 Paper 2 For Examination from 2014 SPECIMEN PAPER 45 minutes Candidates answer on the Question Paper. Additional Materials:

More information

Downloaded from satspapers.org. Year 4 optional tests in mathematics. Teacher s guide YEAR LEVELS

Downloaded from satspapers.org. Year 4 optional tests in mathematics. Teacher s guide YEAR LEVELS Ma YEAR 4 Teacher s guide LEVELS 2 4 First published in 2006 Qualifications and Curriculum Authority 2006 Reproduction, storage, adaptation or translation, in any form or by any means, of this publication

More information

MATHS ACTIVITIES FOR REGISTRATION TIME

MATHS ACTIVITIES FOR REGISTRATION TIME MATHS ACTIVITIES FOR REGISTRATION TIME At the beginning of the year, pair children as partners. You could match different ability children for support. Target Number Write a target number on the board.

More information

XII. Mathematics, Grade 6

XII. Mathematics, Grade 6 XII. Mathematics, Grade 6 Grade 6 Mathematics Test The spring 2013 grade 6 Mathematics test was based on standards in the five domains for grade 6 in the Massachusetts Curriculum Framework for Mathematics

More information

Problem of the Month: Cutting a Cube

Problem of the Month: Cutting a Cube Problem of the Month: The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards:

More information

Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

More information

Teaching and Learning 3-D Geometry

Teaching and Learning 3-D Geometry This publication is designed to support and enthuse primary trainees in Initial Teacher Training. It will provide them with the mathematical subject and pedagogic knowledge required to teach 3-D geometry

More information

Assessment Policy. Date of next review: September 2016

Assessment Policy. Date of next review: September 2016 Assessment Policy 2015 Policy Review Details This policy will be reviewed by the governing body on an annual basis Date of Issue: September 2015 Governor Signature Date of next review: September 2016 Headteacher

More information

3D shapes. Level A. 1. Which of the following is a 3-D shape? A) Cylinder B) Octagon C) Kite. 2. What is another name for 3-D shapes?

3D shapes. Level A. 1. Which of the following is a 3-D shape? A) Cylinder B) Octagon C) Kite. 2. What is another name for 3-D shapes? Level A 1. Which of the following is a 3-D shape? A) Cylinder B) Octagon C) Kite 2. What is another name for 3-D shapes? A) Polygon B) Polyhedron C) Point 3. A 3-D shape has four sides and a triangular

More information

You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used. Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 2F Centre Number Monday 12 January 2015 Afternoon Time: 2 hours Candidate Number

More information

Contents. Subtraction (Taking Away)... 6. Multiplication... 7 by a single digit. by a two digit number by 10, 100 or 1000

Contents. Subtraction (Taking Away)... 6. Multiplication... 7 by a single digit. by a two digit number by 10, 100 or 1000 This booklet outlines the methods we teach pupils for place value, times tables, addition, subtraction, multiplication, division, fractions, decimals, percentages, negative numbers and basic algebra Any

More information

Quick Reference ebook

Quick Reference ebook This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

More information

Paper Reference. Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier

Paper Reference. Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier Centre No. Candidate No. Paper Reference 1 3 8 0 1 F Paper Reference(s) 1380/1F Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier Friday 2 March 2012 Afternoon Time: 1 hour

More information

Monday 4 March 2013 Morning

Monday 4 March 2013 Morning F Monday 4 March 2013 Morning GCSE MATHEMATICS B J567/02 Paper 2 (Foundation Tier) *J533600313* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Geometrical

More information

Mathematics K 6 continuum of key ideas

Mathematics K 6 continuum of key ideas Mathematics K 6 continuum of key ideas Number and Algebra Count forwards to 30 from a given number Count backwards from a given number in the range 0 to 20 Compare, order, read and represent to at least

More information

Autumn - 12 Weeks. Spring 11 Weeks. Summer 12 Weeks. Not As We Know It Limited 2014

Autumn - 12 Weeks. Spring 11 Weeks. Summer 12 Weeks. Not As We Know It Limited 2014 A Year 5 Mathematician Planning of coverage and resources. Autumn - 12 Weeks Spring 11 Weeks Summer 12 Weeks TARGETS NHM YR 5 Collins 5 Abacus 5 Abacus 6 LA Prior Step NHM 4 CPM 4 Ginn 4 Number, place

More information

Assessment, Recording and Reporting Policy

Assessment, Recording and Reporting Policy St Peter s CE (VA) Infants School Assessment, Recording and Reporting Policy Philosophy Assessment is essential for the promotion of effective learning and teaching. It enables the teacher to deliver an

More information

Wigan LEA Numeracy Centre. Year 3 Mental Arithmetic Test Questions

Wigan LEA Numeracy Centre. Year 3 Mental Arithmetic Test Questions Wigan LEA Numeracy Centre Year 3 Mental Arithmetic Test Questions Produced by Wigan Numeracy Centre September 000 Test (end of week ) Year 3 Time Block I will read every question twice. In this first set

More information

CONTENTS. Please note:

CONTENTS. Please note: CONTENTS Introduction...iv. Number Systems... 2. Algebraic Expressions.... Factorising...24 4. Solving Linear Equations...8. Solving Quadratic Equations...0 6. Simultaneous Equations.... Long Division

More information

Area of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in

Area of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 Solve: Find the area of each triangle. 1. 2. 3. 5in4in 11in 12in 9in 21in 14in 19in 13in

More information

REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52

REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52 REVIEW SHEETS INTRODUCTORY PHYSICAL SCIENCE MATH 52 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts which are taught in the specified math course.

More information

Functional Skills Mathematics Level 2 sample assessment

Functional Skills Mathematics Level 2 sample assessment Functional Skills Mathematics Level sample assessment Marking scheme Sample paper www.cityandguilds.com January 01 Version 1.0 Functional Skills Mathematics Guidance notes for Sample Paper Mark Schemes

More information

Version 1.0: 0110. klm. General Certificate of Education. Mathematics 6360. MD02 Decision 2. Mark Scheme. 2010 examination - January series

Version 1.0: 0110. klm. General Certificate of Education. Mathematics 6360. MD02 Decision 2. Mark Scheme. 2010 examination - January series Version.0: 00 klm General Certificate of Education Mathematics 6360 MD0 Decision Mark Scheme 00 examination - January series Mark schemes are prepared by the Principal Examiner and considered, together

More information

Ss John Fisher, Thomas More High School Assessment, Reporting and Recording Policy

Ss John Fisher, Thomas More High School Assessment, Reporting and Recording Policy Ss John Fisher, Thomas More High School Assessment, Reporting and Recording Policy Compiled by: CHA (members of SLT) Approved by: Curriculum Committee Date: May 2015 Revision Date: May 2016 Introduction

More information

DISCOVERING 3D SHAPES

DISCOVERING 3D SHAPES . DISCOVERING 3D SHAPES WORKSHEETS OCTOBER-DECEMBER 2009 1 . Worksheet 1. Cut out and stick the shapes. SHAPES WHICH ROLL SHAPES WHICH SLIDE 2 . Worksheet 2: COMPLETE THE CHARTS Sphere, triangle, prism,

More information

Shapes Bingo. More general matters which apply to the use of this unit are covered on the next page.

Shapes Bingo. More general matters which apply to the use of this unit are covered on the next page. Shapes Bingo Shapes Bingo This unit provides the material for practicing some basic shape identification in the context of the well-known game of Bingo. Directions on how to play Bingo are not given here.

More information

Mathematics tests. Mark scheme KEY STAGE 3. for Mental mathematics tests A, B and C ALL TIERS. National curriculum assessments

Mathematics tests. Mark scheme KEY STAGE 3. for Mental mathematics tests A, B and C ALL TIERS. National curriculum assessments Ma KEY STAGE 3 ALL TIERS Mathematics tests Mark scheme for Mental mathematics tests A, B and C 009 National curriculum assessments QCA wishes to make its publications widely accessible. Please contact

More information

MATHS LEVEL DESCRIPTORS

MATHS LEVEL DESCRIPTORS MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and

More information

Kristen Kachurek. Circumference, Perimeter, and Area Grades 7-10 5 Day lesson plan. Technology and Manipulatives used:

Kristen Kachurek. Circumference, Perimeter, and Area Grades 7-10 5 Day lesson plan. Technology and Manipulatives used: Kristen Kachurek Circumference, Perimeter, and Area Grades 7-10 5 Day lesson plan Technology and Manipulatives used: TI-83 Plus calculator Area Form application (for TI-83 Plus calculator) Login application

More information

SAMPLE BOOKLET Published July 2015

SAMPLE BOOKLET Published July 2015 National curriculum tests Key stage 2 Mathematics Paper 2: reasoning First name Middle name Last name Date of birth Day Month Year School name SAMPLE BOOKLET Published July 2015 PUPIL ID NUMBER This sample

More information

MAPLE SCHOOL MATHS POLICY. Updated June 2015 by Rachel de la Croix (Maths Co-ordinator)

MAPLE SCHOOL MATHS POLICY. Updated June 2015 by Rachel de la Croix (Maths Co-ordinator) 1 MAPLE SCHOOL MATHS POLICY Updated June 2015 by Rachel de la Croix (Maths Co-ordinator) School Vision A high-quality mathematics education provides a foundation for understanding the world, the ability

More information

Mark Scheme (Results) Summer 2014. Pearson Edexcel GCSE In Mathematics A (1MA0) Higher (Calculator) Paper 2H

Mark Scheme (Results) Summer 2014. Pearson Edexcel GCSE In Mathematics A (1MA0) Higher (Calculator) Paper 2H Mark Scheme (Results) Summer 2014 Pearson Edexcel GCSE In Mathematics A (1MA0) Higher (Calculator) Paper 2H Edexcel and BTEC Qualifications Edexcel and BTEC qualifications are awarded by Pearson, the UK

More information

You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used. Write your name here Surname Other names Pearson Edexcel International GCSE Mathematics A Paper 1FR Centre Number Wednesday 14 May 2014 Morning Time: 2 hours Candidate Number Foundation Tier Paper Reference

More information