Interactive Scheme of Work L1 - L2 Adult Numeracy (pre GCSE maths 2004-2005) with links to resources, lesson plans, interactive activities, ILPs.

Text book: Edexcel Foundation GCSE Mathematics. Heinemann. ISBN 0-435-53269-3 (2001). Extra worksheets are used for curriculum elements not covered in the text book. The textbook has answers in the back; students mark their own work. Overhead Transparencies: This course uses a large number of OHTs from the CIMT Centre for Innovation in Mathematics Teaching (based at Plymouth University). This site is an excellent source of worksheets, OHTs, teaching ideas and interactive tutorials. The Year 7, 8 and 9 areas are particularly useful for this course.
Content	Planned activities - Term 1 e.g. paired work, group work, games, aural tests, etc. * MS = Mental starter or warm up activity. HW = homework.	Numeracy curriculum and text book references	Lesson Plan
1. Overview of course. Large numbers
H&S Registration Learning Styles Assessment Diary sheets Place Value - big numbers	Health and safety: fire drill, first aid, etc. Registration forms. Learning style questionnaires (use FEDA printed versions or online VARK or printable VARK (external PDF) and maths views questionnaires (PDF1-9K). Various L1 assessments: ‘Can-do’ cards, etc. Overview of course, and hand out plan for this term. Explain class diary sheets (PDF2-24K), scientific calculator, text book. Intro to mental maths. Progress chart (PDF3-50K) Place value CIMT PDF (external PDF1): 2.1 2.3.	Ch 1 A. B N1/L1.1 N1/L2.1	Lesson plans 1-2
2. Written methods & problems solving. Mental addition and subtraction.
Mental addition and subtraction Written methods for the 4 operations Problem solving.	MS how do you add up in your head? Play game in pairs digit cards 0-9 (PDF4-70K). Mental subtraction (PDF4-70K) compensating, partitioning, count on - shopkeepers, etc. Ordering numbers (PDF5-12K)(ascending / descending & matching numbers to numbers written as words - omit negative numbers - but these will be used in week 5) paired activity. Discuss < and > signs. Addition. Subtraction. Multiplication. Division. Written methods and problem solving. Use handouts from CGP GCSE Foundation revision (external html 2) book as needed by students (long division, multiplication, etc.). Sample playgroup questions (PDF6-70K) level 1 questions on acetate as group. CIMT OHT (external PDF2): 8.4 - division problems in context. Checking by using inverse operations. HW place value curriculum linked worksheet (PDF7-60K)	Ch 1 C D E F G, especially H (mixed problems) N1/L1.3 N1/L2.2
3. Rounding numbers
Rounding nos. Significant figs Estimation Odds Evens	MS paperclip (PDF8-9K) place value game, Aural test (PDF9-35K) on previous two weeks' work (place value and mental addition). Rounding nos. to nearest, 10, 100, 1000. Use supermarket till receipts and Place value CIMT PDF (external PDF1): 2.2 to demonstrate rounding (add extra column to OHT on board for rounding to 1 sig. fig) Odd and even nos. Students to sign and annotate ILPs	Ch 1 I J K N1/L1.8 N1/L1.9 N1/L2.2	Lesson plans 3-5
4. Number properties
Primes Factors, multiples Squares, cubes, roots. Indices / powers.	MS multiply & divide by multiples of 10, 100, etc. Revise rounding. Sieve of Eratosthenes group activity (primes) use Cleave Books 100 square OHT (external PDF3). Multiples, factors, common factors. Use handouts from CGP GCSE Foundation revision (external html 2) book as needed by students (multiples, factors, square numbers) Square nos., cubes (use bricks), roots, powers (indices). Use Cleave books OHT of a large tables square (external PDF6) to show square numbers. HW – written methods worksheet (PDF7-70K)	Ch 1 L M N N1/L1.4 N1/L1.5 N1/L1.6 N1/L2.2
5. Negative numbers
Negative numbers	MS revision, Aural test 2 (PDF17-25K) to check past work (place value, mental addition and subtraction, rounding). Ordering –ve nos. Smallest – largest? Use CIMT Thermometer OHT (external PDF4): 15.1. Add, sub and multiply –ve nos. Use black and white disks to demonstrate subtracting –ve nos. (see tutor help sheet (PDF19-32K) and number lines (PDF10-25K) and sample -ve no. exam questions (PDF18-24K).	Ch 1 O P N1/L1.2 N1/L2.1
6. Introduction to Algebra
Language of algebra.	MS Tables. Divisibility tests - how to use them to find factors / multiples (use adapted PowerPoint demo (external PPT1) from Primary Resources: Online Activities (external html 1) Language of Algebra CGP worksheet as intro (from CGP Foundation GCSE Maths Workbook (external html 2). Algebra - how to write multiplication and powers. Collect like terms paired card game (external PPT2) from Keith Burnett's (Birmingham City College) Xylem pages (external html 3)	2 A B C D E F G and extra worksheets N1/L2.4
7. Bidmas
Calculator BIDMAS Substitution ILPs	MS Aural check on last half terms work (coming soon). Calculator use for problem solving (and checking answers). BIDMAS – use of brackets, etc. Substitution – Target Skills level 2 (external html 4) to introduce. Use substitution worksheet from CGP Foundation GCSE Workbook (external html 2) and Substitution game (external PPT3) from Keith Burnett's (Birmingham City college) Xylem pages (external html 3). ILPs. HW – BIDMAS worksheet (PDF7-40K)	2H and extra substitution and BIDMAS sheets N1/L2.4
October Half Term
8. Revision and Assessment
Revision Assessment	Play squares and primes game - an idea taken from Exeter 'Take a 100 square...' (external PDF3). Revision as requested by students. 1hr assessment (PDF11-83K) based on previous half terms work (note this PDF now updated to include an extra page assessing algebra and substitution).	All curriculum elements covered in first half term
9. Fractions I
Word problems Mixed nos. Fractions of a quantity	MS Place value revision. Paperclip (PDF8-9K) place value game and match shopping (PDF5-12K) cards. Shading in fractions of shapes use Exeter Fraction OHTs (external PDF5): 10.1. 10.2 Use Exeter online fraction tutorials 10.1 external html 5 (fractions of shapes) and 10.2. external html 6 (equivalent fractions). Word problems - examples from text book Convert between mixed nos. and improper fractions Exeter fraction OHTs (external PDF5): 10.9 10.10 Fractions of a quantity Exeter fraction OHTs (external PDF5): 10.7 Hand back and discuss last weeks assessments Answer sheet (external PDF) to last weeks assessment	4 A B C D E N2/L1.1 N2/L1.2 N2/L2.1 N2/L2.3
10. Fractions II
Simplifying Equivalents Ordering +, -, x	MS Fractions of amounts. Fraction maze game Exeter fraction OHT (external PDF5): 10.8 Simplify – demonstrate on whiteboard. Continue using Exeter online tutorials 10.3 external html 7 (fractions of amounts) and 10.4 external html 8 (mixed numbers - improper fractions) if time. Equivalents – Exeter Fraction OHTs (external PDF5): 10.4 10.5 Ordering – use text book examples and fraction cards (PDF12-120K) Add and subtract fractions. HW Level 1-2 fraction exam questions (PDF13-100K)	4 F G H I N2/L2.3 N2/L2.4
11. Decimals I
Place value and ordering Rounding	MS – moveable fractions with cards. Exeter fraction 'Activities' (external PDF6): 10.2 Use chart above whiteboard for place value and individual handouts Use laminated decimal cards for ordering decimals (coming soon) Use CIMT PDF (external PDF1): 2.5 2.6 for rounding decimals (also add nearest whole no, and sig. figs when projecting on whiteboard)	6 A B C N2/L1.4 N2/L1.7 N2/L2.5
12. Decimals II
4 operations Convert to fractions Fraction key on calculator	MS – multiplying and dividing decimals by 10. 100, 1000. Convert decimals to fractions. Add and subtract decimals. Multiply (omit divide stuff). Convert between decimals and fractions (and how to use calculator fraction key). HW - Decimal Homework (PDF7-150K)	6 D E F G H I J N2/L1.5 N2/L1.6 N2/L1.11 N2/L2.2 N2/L2.5 N2/L2.6
13. Angles I
Compass points Angles ILPs and end of term reviews	Compass points and directions / turning Use OHT/ protractor to demonstrate measuring / drawing angles Acute, obtuse, right, reflex angles CIMT OHTs (external PDF7): 5.1 5.4 5.5 5.6 5.7 etc. Construct angles	3 A B C D E MSS2/L1.1
CHRISTMAS
Content	Planned activities - Term 2 e.g. paired work, group work, games, aural tests, etc. * MS = Mental starter or warm up activity. HW = homework.	Numeracy curriculum and text book references	Lesson Plan
14. Angles II
Angles in a triangle Parallel lines Bearings New ILPs	30 minute assessment (practice Level 1 (PDF14-105K) and Level 2 Number (N1/N2) questions Overview of term 2 Angle around a point, straight line, opposite angles, in a triangle Parallel lines. Bearings (Exeter OHTs) New ILPs	3 F G H I J MSS2/L1.1 MSS2/L2.2
15. 2D Shapes and symmetry
Assessment Properties of 2D shapes Triangles and quadrilaterals Congruence Tessellation Symmetry	MS place value revision, ordering numbers (PDF5-12K) paired matching activity and paperclip (PDF8-9K) place value game. 2D shapes – names of triangles & quadrilaterals (foam shapes describing game) Congruence and tessellations. Use tessellation web sites: Boxer Math Tessellation Tool Shodor Tessellatation tool and Target Skills level 1 (external html 4) Numeracy. Symmetry – reflective and rotational, use OHTs and Target Skills Level 1 as above. HW angles, shapes.	5 A D 18 A B C D MSS2/L1.1 MSS2/L1.2 MSS2/L2.2
16. Measure I
Estimation of weight, capacity, length. Read scales. Time. Dates.	MS Multiplying & dividing whole nos. & decimals by 10, 100, 1000 Metric units – intro. Prefixes. History of metric / SI system Suitable units and measuring instruments (PDF15-470K) Estimate lengths mass and capacity of everyday items in classroom then check by measuring accurately. Use Exeter bus OHT Time and dates - check students' existing knowledge inc. 24 hour clock	7 (all if needed) 13 G H I MSS1/L1.2 MSS1/L1.3 MSS1/L1.4 MSS1/L2.2 MSS1/L2.3
17. Measure II
Converting between metric units Timetables	MS - Multiplying & dividing whole nos. & decimals by 10, 100, 1000 Converting within the metric system (use x10 x100 x1000 OHTs) Metric units – intro. Prefixes. History of metric / SI system (use Exeter handouts) Converting within the metric system, use metric conversion diagram OHTs (PDF16-86K) and handouts from same. Timetables (use local bus/train ones and text book)	13 J 13 A B C D MSS1/L1.6 MSS1/L1.7 MSS1/L2.2 MSS1/L2.3
18. Measure III
Metric – Imperial and other conversion Currency	MS – convert within metric system. Aural test. Converting between metric and imperial units Distance - use road atlas and Exeter interactive tutorial 1.1 (external html 9) on mileage charts Conversion charts (use Exeter online tutorial 3.6 (external html 10) on conversion Graphs). Currency conversion - use newspapers and Buying - Selling (PDF15-125K) rate worksheet	13 E F K and extra exercises MSS1/L1.5 MSS1/L2.5 MSS1/L2.6
19. Assessment. Percentages I
Convert, order compare %s ILPs	Assessment – practice Level 1 (PDF15-70K) and Level 2 MSS1 exam questions MS Use fraction, decimal , percentage cards (PDF11-120K) can they see the connections? Percentages (intro) – use fill-in Exeter OHT for converting fractions, decimals, %s.	14 A B C D N2/L1.8 N2/L1.11 N2/L2.10
February Half Term
20. Percentages II
% amounts % increase / decrease VAT	MS - Convert between decimals, fractions and percentages. Aural test (coming soon). Percentages of amounts - use examples from text book VAT - real life examples. Practise percentage exam questions – discuss as group HW - %s	14 E F G H N2/L1.9 N2/L1.10 N2/L2.7 N2/L2.8 N2/L2.9
21. Ratio and Proportion I
Simplifying Proportion	MS aural check %s (10% of, 1% of, reduction of 10%, etc.) Introduce ratios and proportion - use Target Skills level 2 (external html 4) numeracy program.	17A B C N1/L1.7 N1/L2.3
22. Ratio and Proportion II
Ratio problem solving Map scales and scale drawings	MS simplifying ratios Unitary form. Problem solving. Scales (bring in local Ordnance Survey maps) – use Exeter OHT Revision of previous topics if time (practice questions) HW - ratios	17 D E N1/L1.7 N1/L2.3 MSS1/L2.10
23. 3D Objects
Names and properties Prisms Nets	MS Exeter OHT wages maze game (variety of mental strategies: dividing, halving, multiply, etc. plus uses proportion / ratio) 3D objects – bring in some packaging etc, to demonstrate nets. Quiz on 2D and 3D. In pairs – give description of object to class	11 A B C D E F (selected questions) MSS2/L2.1
24. Perimeter, Circumference, Area.
Perimeter Circumference Area ILPs Reviews	MS revision as needed Perimeter of simple and compound shapes Pi. Investigate circumference and radius (use string and round objects) of various objects. Area of simple and composite shapes and circles ILPs and reviews	19 A B C 19 D E F G 19 H I J MSS1/L1.8 MSS1/L2.7
25. Volume, Assessment
Volume Assessment	MS – revision as needed Volume of cuboids / cylinders Practice exam paper HW practice exam	19 J K L M N O P MSS1/L1.9 MSS1/L1.10 MSS1/L2.9
EASTER
Content	Planned activities - Term 3 e.g. paired work, group work, games, aural tests, etc. * MS = Mental starter or warm up activity. HW = homework.	Numeracy curriculum and text book references	Lesson Plan
26. Collect, Sorting and Recording Data
Info from tables Tally charts New ILPs	Obtaining and interpreting data from tables / databases. Tally/ frequency charts (use Exeter OHTs) Ask students (in week 25 to) bring in their own tables / charts of information from newspapers – discuss Suitable questions to ask to obtain information - discuss	8 A C D F G HD1/L1.1 HD1/L2.1
27. Presenting and Interpreting Data
Bar charts Pictograms Line graphs	Bar charts and pictograms. Discrete and continuous data. Line graphs Interpreting data (use practise exam questions). Include dual bar charts and line graphs with more than one set of data. HW – H. Data	10 A B C D E (selected questions only) HD1/L1.2 HD1/L2.2
28. Pie Charts
Extracting info from and constructing	Pie charts - use text book and sample exam questions along with Exeter OHTs, board protractor (remember to take in large plate to draw round).	16 A B (selected questions) HD1/L2.1 HD1/L2.2
29. Averages - mean, mode, median, range.
Mean Mode Median Range ILPs	Averages: Mode, mean, median, range use text book and sample exam questions Short assessment - sample HD exam questions HW – practice exam paper	20 A B C D HD1/L1.3 HD1/L1.4 HD1/L2.3 HD1/L2.4
30. Revision and Mock Exam
Revision and mock exam	Revision Practice tests at Level 1 or 2 for each student under exam conditions with proper multiple choice answer sheet	All L1 and L2 curriculum elements
31. Probability
Likelihood of events. Single, combined. Tree diagrams	Likelihood of events (OHT). Express fractions. decimal or % Use dice or coins to demonstrate (students will have more time to conduct their own probability experiments in week 33-34) Probability – combined events, tree diagrams.	23 A B C D Extra sheets HD2/L1.1 HD2/L1.2 HD2/L2.1
Summer Half Term
32. Adult Numeracy Exams L1 and 2: Tuesday June 8th 2004
Exams	Exams in evening. No classes this week.
33. Statistics Projects
Projects Computers	Mental starter for last 3 weeks will consist of mental maths games and quizzes or repetition of previous activities as requested by students. Statistics projects (or probability experiments) for example Smarties, or body size investigations. Target Skills maths activities (external html 4) on computer
34. Statistics Projects
Projects Computers	Statistics projects (or probability experiments) for example Smarties, or body size investigations. Target Skills maths activities (external html 4) on computer Spreadsheets
35. End of Year Reviews
Reviews Farewells	Finish Projects. Presentations (about projects) to class. ILPs and Reviews. Progression Interviews
SUMMER Break - end of Academic Year

Curriculum reference details for elements covered in Term 1

N1 - whole numbers. Level 1

N1/L1.1 Read, write, order and compare numbers, including large numbers (a) understand that the position of a digit signifies its value (b) know what each digit represents in a number up to 7 digits, inc. use of zero as a place holder (c) understand symbols < and >

N1/L1.2 Recognise negative numbers in practical contexts (a) understand the words positive and negative (b) know that 0°C is the temperature which water freezes. (c) understand that a negative temperature is below zero.

N1/L1.3 Add, subtract, multiply and divide using efficient written methods

N1/L1.4 Multiply and divide whole numbers by 10 and 100. (a) understand place value for whole and to two-decimal places.

N1/L1.5 Recall multiplication facts up to 10 x 10 and make connections with division facts.

N1/L1.6 Recognise numerical relationships (e.g. multiples and squares) (a) recognise multiples of 2 to 9, up to 100 (b) recognise multiples of 10, 50, 100, 1000 (c) know square numbers to 10 x 10

N1/L1.8 Approximate by rounding (a) understand that numbers can be rounded to different degrees of accuracy e.g. to nearest 10, 100, 1000, million

N1/L1.9 Estimate answers to calculations (a) know how to make approximate calculations (b) understand that a knowledge of context enables "guessing" at answers (e.g. it should be about..) or judging if answers are sensible (e.g. that's far too big; doesn't make sense to have an answer less than 1, etc.)

* N1/L1.7 is covered in term 2

N1 - whole numbers. Level 2

N1/L2.1 Read, write, order and compare positive and negative numbers of any size in a practical context (a) understand that the position of a digit signifies its value (b) know what each digit in a number represents, including the use of zero as a place holder (c) understand the meaning of negative numbers in a practical context, e.g. temperature below zero, loss in trading

N1/L2.2 Carry out calculations with numbers of any size using efficient methods. (a) understand words multiple and factor and relate them to multiplication and division facts (b) understand the word prime and know prime numbers to 20 (c) know and use strategies to check answers, e.g. approximate calculations, estimation.

N1/L2.4 Evaluate expressions and make substitutions in given formulae in words and symbols to produce results (a) understand that words and symbols in expressions and formulae represent variable quantities (numbers), not things (i.e. 2a + 2b cannot be explained as 2 apples and 2 bananas) (b) understand that the contents of brackets must be worked out first (c) understand that, when there is no operator between a number and a variable, or two variables, multiplication is implied, e.g. 2a = 2 x a; ab = a x b; 2ab = 2 x a x b

* N1/L2.3 is covered in term 2

N2 - fractions, decimals and percentages. L1.

N2/L1.1 Read, write, order and compare common fractions and mixed numbers (a) know common equivalent fractions, e.g. equivalent to a half, quarters, thirds, fifths, tenths (b) understand that in unit fractions, the larger the denominator, the smaller the fraction but that this is not true of non-unit fractions.

N2/L1.2 Find parts of whole number quantities or measurements (e.g. 2/3 or 3/4) (a) understand the relationship between unit fractions and division when finding parts

N2/L1.3 Recognise equivalencies between common fractions, decimals and %s. E.g. 50% = ½, 0.25 = ¼, and know how you use these to find part of whole number quantities. (a) know common fraction equivalents e.g. half, quarters, fifth, tenths.

N2/L1.4 Read, write, order and compare decimals up to three decimal places (a) understand that the position of a digit signifies its value (b) know that the decimal point separates whole numbers from decimal fractions (c) know what each digit represents, including the use of zero as a place holder

N2/L1.5 Add, subtract, multiply, divide decimals up to 2 places (a) know and use strategies to check answers e.g. approximate calculations using whole numbers

N2/L1.6 Multiply and divide decimals by 10, 100 (a) understand place value (whole nos. and to two-decimal places)

N2/L1.7 approximate decimals by rounding to a whole number or two decimal places (a) know what is meant by decimal places

N2/L1.11 Use a calculator to calculate efficiently using whole numbers, fractions, decimals and %s (a) know how to change a fraction to a decimal on a calculator (b) understand that %s can be calculated in different ways inc. the % key on a calculator (c) know how to interpret a rounding error such as 6.99999 as 7 (d) know strategies to check answers obtained with a calculator

* N2/L1.8, 1.9 and 1.10 (percentages) are covered in term 2

N2 - fractions, decimals and percentages. L2.

N2/L2.1 Use fractions to order and compare amounts or quantities (a) know how to change fractions to equivalent fractions with a common denominator

N2/L2.2 Identify equivalencies between fractions, decimals and percentages (a) understand that fractions, decimals and percentages are different ways of expressing the same thing (b) know that percentages are fractions out of 100 (next term) (c) know that decimal fractions are expressed in tenths, hundredths, thousandths

N2/L2.3 Evaluate one number as a fraction of another (a) understand equivalent fractions (b) understand simplest form (c) know how to reduce a fraction to its simplest form, e.g. by recognising equivalent fractions, by using factors to “cancel” (d) recognise prime numbers i.e. numbers that can’t be cancelled (e) understand that quantities must be in the same units to evaluate one as a fraction of another

N2/L2.4 Use fractions to add & subtract amounts or quantities (a) know some common addition and subtraction facts, e.g. ½ + ¼ = ¾ , ¾ - ½ = ¼ (b) understand how to change fractions to equivalent fractions for adding and subtracting

N2/L2.5 Order, approximate and compare decimals when solving practical problems (a) understand place value (whole nos. and up to 3 decimal places) (b) understand that decimals can be rounded to different degrees of accuracy, depending on purpose

N2/L2.6 Add, subtract, multiply, divide decimals up to 3 places (a) know and use strategies to check answers e.g. approximate calculations using whole numbers

* N2/L2.7, 2.8, 2.9 and 2.10 (percentages and calculators) are covered in term 2

MSS2 - shape and space. L1.

MSS2/L1.1 Solve problems using the mathematical properties of regular 2-D shapes (e.g. tessellation or symmetry) (a) know that angles are measured in degrees (b) know that a right angle is 90° or a quarter turn (c) know that 4 right angles fill a space (d) identify regular shapes

* MSS2/L1.2 (properties of 2D shapes) is covered in term 2

MSS2 - shape and space. L2.

MSS2/L2.2 Solve problems involving 2-D shapes and parallel lines (e.g. in laying down carpet tiles) (a) understand the meaning of parallel and recognise parallel lines

* MSS2/L2.1 (3D objects represented as 2D) covered in term 2.

Curriculum reference details for additional elements covered in Terms 2

MSS2 - shape and space. L1 (cont)

MSS2/L1.2 draw 2-D shapes in different orientations using grids (e.g. in diagrams or plans) (a) know the properties of regular 2-D shapes

MSS2 - shape and space. L2 (cont)

MSS2/L2.1 recognise and use common 2-D representations of 3-D objects (e.g. in maps and plans) (a) understand that 3-D objects can be represented in 2-D

N2 - percentages. L1 (cont)

N2/L1.8 read, write, order and compare simple percentages, and understand simple percentage increase and decrease (a) understand percentage as the number of parts in every 100 (b) know that 100% is the whole (c) understand that a 10% pay increase is more than a 5% pay increase, but the actual increase depends on the number operated on

N2/L1.9 find simple percentage parts of quantities and measurements (a) understand that there are different ways of calculating percentages (b) understand that knowing a range of methods for use with different numbers can make life easier than a single method applied to all numbers (but the choice remains the learner’s).

N2/L1.10 find simple percentage increase and decrease (a) understand that a percentage increase can be found by finding the percentage part & adding on (b) that a percentage decrease can be found by finding the percentage part and subtracting.

N2 - percentages. L2 (cont)

N2/L2.7 order and compare percentages and understand percentage increase and decrease

N2/L2.8 find percentage parts of quantities and measurements (a) understand that percentages can be worked out in different ways (b) know how to work out VAT (c) understand that the rate of VAT is set by government and is subject to change

N2/L2.9 evaluate one number as a percentage of another (a) understand that this may require changing a fraction to a percentage, and that it can be done in different ways

N2/L2.10 use a calculator to calculate efficiently using whole numbers, fractions, decimals and percentages (a) understand the use of memory and constant functions (b) know and use strategies to check answers obtained with a calculator

N1 - ratio and proportion. L1 (cont)

N1/L1.7 work out simple ratio and direct proportion (a) understand simple ratio as the number of parts, e.g. three parts to one part (b) understand direct proportion as the same rate of increase or decrease, e.g. double, half

N2 - ratio and proportion. L2 (cont)

N1/L2.3 calculate ratio and direct proportion (a) understand ratio written in the form 3:2 (b) understand how to work out the number of parts in a given ratio, and the value of one part

MSS1 - common measures. L1

MSS1/L1.1 add, subtract, multiply and divide sums of money and record (a) understand place value of whole numbers and decimals (b) know that, for column addition and subtraction, decimals should be aligned by the decimal point

MSS1/L1.2 read, measure and record time in common date formats and in the12-hour and 24-hour clock (a) understand & use common date formats (b) understand time in the 12 and 24-hour clock (c) know midnight is 00:00, or 0000, and 12:00 or 1200 is midday (d) understand & use time- tables (e) know units of time: millennium, century, year, month, week, day, hour, minute, second

MSS1/L1.3 calculate using time (a) know the relationship between units of time, e.g. 1 hour = 60 min (b) add and subtract times in hrs & mins (c) convert units of time, e.g. 70 min is 1 hr 10 min.

MSS1/L1.4 read, estimate, measure & compare length, weight, capacity and temperature using common units & instruments (a) know standard metric units of length, weight, capacity inc abbrev- iations (km, m, cm, mm, kg, g, l, ml) (b) read scales to the nearest labelled and unlabelled division

MSS1/L1.5 read, estimate, measure and compare distance (a) know that distance is measured in miles or kilometres (b) understand and use a mileage chart (c) know how to use a simple scale to estimate distance on a road map

MSS1/L1.6 add and subtract common units of measure within the same system (a) know the relationship between metric units

MSS1/L1.7 convert units of measure in same system (a) know relationship between metric units

MSS1/L1.8 work out the perimeter of simple shapes (a) know that perimeter is the boundary of a shape (b) know that perimeter is measured in units of length (c) understand that measurements required to calculate the length of the perimeter depend on the shape

MSS1/L1.9 work out the area of rectangles (a) know that area is a measure of surface (b) know what measurements are required to calculate area, and how to obtain them (c) know that measurements must be in the same units before calculating area (d) know that the area of a rectangle length x width (e) know that area is measured in square units

MSS1/L1.10 work out simple volume (e.g. cuboids) (a) know that volume is a measure of space (b) know what measurements are required to calculate volume, and how to obtain them (c) know that measurements must be in the same units before calculating volume (d) know that the volume of a cuboid is length x width x height (or depth) (e) know that volume is measured in cubic units

MSS1 - common measures. L2

MSS1/L2.1 calculate with sums of money and convert between currencies (a) understand that exchange rates of currencies are not fixed, but vary on a daily basis (b) understand buying rate and selling rate

MSS1/L2.2 calculate, measure and record time in different formats (a) understand dates and times written in different formats (b) know how to use measuring instruments, e.g. timers on appliances, clocks, watches, etc. (c) know the relationship between units of time, e.g. sec, min, hr, day, week, month, year

MSS1/L2.3 estimate, measure and compare length, distance, weight and capacity using metric and, where appropriate, imperial units (a) know the metric units of length, distance, weight, capacity (b) know the common imperial units of length, distance, weight, capacity, where appropriate, e.g. yard, feet, inches, miles, tons, pounds, ounces, pints, gallons (c) read scales to different levels of accuracy, including reading between marked divisions

MSS1/L2.4 estimate, measure & compare temperature, inc. reading scales & conversion tables (a) know how to read a thermometer (b) temperature can be measured on Celsius & Fahrenheit scales

MSS1/L2.5 calculate with units of measure within the same system (a) know the relationship between metric units (b) know the relationship between common imperial units, where appropriate

MSS1/L2.6 calculate with units of measure between systems, using conversion tables and scales, and approximate conversion factors (a) know rough equivalences between common metric and imperial measures, e.g. 1 lb is about 450 grams, a litre is a bit less than 2 pints, a gallon is about 4 ½litres, a kilogram is a bit more than 2 lb, a metre is a bit more than a yard, an inch is about 2 ½cm, a foot is about 30 cm (b) know how to read conversion scales and tables (c) know how to use approximate conversion factors, e.g. 1 inch 2.54 cm

MSS1/L2.7 understand and use given formulae for finding perimeters and areas of regular shapes (e.g. rectangular and circular surfaces) (a) know what is meant by perimeter, circumference, diameter, radius (b) recognise the symbol for pi, and know its approximate value (c) know how to make substitutions in a formula and work out the result

MSS1/L2.8 understand and use given formulae (a) for finding areas of composite shapes (e.g. non-rectangular rooms or plots of land) (b) know that measurements must be in the same units before calculating area (c) know how to break down a composite shape into regular shapes

MSS1/L2.9 understand and use given formulae for finding volumes of regular shapes (e.g. a cuboid or cylinder) (a) know that measurements must be in the same units before calculating volume (b) recognise the symbol for pi, and know its approximate value (c) know how to make substitutions in a formula and work out the result

MSS1/L2.10 work out dimensions from scale drawings (e.g. 1:20) (a) understand scale written as a ratio (b) understand that, when expressed as a ratio, the scale is independent of units

Curriculum reference details for additional elements covered in Term 3

HD1 - data and statistical measures. L1

HD1/L1.1 extract and interpret information (e.g. in tables, diagrams, charts and line graphs) (a) understand that the title, labels, key, etc. provide information (b) know how to read the scale on an axis (c) know how to use a simple scale such as 1 cm to 1 m (d) know how to obtain information from a pictogram, pie chart, bar chart, single-line graph, including use of decimal nos.

HD1/L1.2 collect, organise and represent discrete data (e.g. in tables, charts, diagrams and line graphs) (a) know how to choose a sensible scale to fit the data (b) label charts, graphs, diagrams

HD1/L1.3 find the arithmetical average (mean) for a set of data (a) know that the mean is one sort of average (the most common) (b) know that the mean is worked out by adding up the items, and dividing by the number of items (c) understand that the mean can give a ‘distorted average’ if one or two values are much higher or lower than the other values, e.g. the mean salary or wage in a company can be distorted by one or two very high salaries

HD1/L1.4 find the range for a set of data (a) understand the range measures the spread of a set of data (b) that the range is the difference between the smallest & largest values in the set of data

HD1 - data and statistical measures. L2

HD1/L2.1 extract discrete and continuous data from tables, diagrams, charts and line graphs (a) understand how to use scales in diagrams, charts and graphs (b) know how to interpret information from bar charts, pie charts, and line graphs with more than one line

HD1/L2.2 collect, organise and represent discrete and continuous data in tables, charts, diagrams and line graphs (a) understand that continuous data is collected through measurement (b) understand that continuous data can only be collected to a certain degree of accuracy (c) know how to choose a suitable scale to fit the data (d) label charts, graphs, diagrams

HD1/L2.3 find the mean, median and mode, and use them as appropriate to compare two sets of data (a) understand what is meant by mean, median and mode (b) understand that each average is useful for different purposes

HD1/L2.4 find the range and use it to describe the spread within sets of data (a) understand that the range is the difference between the highest and lowest values in a set of data

HD2 - probability. L1

HD2/L1.1 show that some events are more likely to occur than others (a) understand that some events are impossible (b) that some events are certain to happen (b) know that some events are more likely to occur than others (c) understand the concept of possible outcomes, e.g. there are two possible outcomes for the gender of a baby (d) understand that some events can happen in more than one way, e.g. there are three possible ways of getting an odd number with the throw of a die (e) understand that probability is an expression of likelihood, and use terms such as a one in two chance

HD2/L1.2 express the likelihood of an event using fractions, decimals and percentages with the probability scale of 0 to 1 (a) understand that the likelihood of an event is measured on a scale from 0 (impossible) to 1 (certain) (b) understand that likelihood (or probability) is expressed as the number of ways the event can happen divided by the total number of possible outcomes (c) understand that likelihood or probability can be written as a fraction, decimal or percentage, e.g. the likelihood that a coin will land heads-up is 50%, .5 or 1/2b – the expression there is a fifty-fifty chance is an expression of likelihood using percentages

HD2 - probability. L2

HD2/L2.1 identify the range of possible outcomes of combined events and record the information using diagrams or tables (a) understand that events are independent when the outcome of one does not influence the outcome of another, e.g. the gender of a baby does not influence the gender of a second one (b) understand that events are combined when the outcome depends on the separate outcome of each independent event, e.g. the likelihood that twins will both be girls (c) record the range of possible outcomes of combined events in tree diagrams or in tables

This page was set up for preGCSE Maths (Level 1-2 adult numeracy). It was updated throughout the year so that I could easily locate online activities and OHTs during my classes. Students also used it to catch up on missed lessons, download extra practice sheets or missed homework sheets, practice online activities at home, etc.
30/07/07 All links on this page checked. For a more recent version of this SoW (aimed at students rather than tutors) please visit Interactive Activities and Web Tutorials pre GCSE Maths, Tuesday evening group 2005-06 which contains updated versions of assessments and homework sheets.

Important Notes	How to use this Scheme		Learning Styles
This is a real scheme of work, planned for a specific group of adult learners. It does not claim to be an 'ideal' example - merely a source of ideas and resources for other tutors. If you use any of the ideas in this scheme of work I would love to hear from you. THANKS!	Click curriculum links for details of each curriculum element. Click other links for PDF and DOC resources or related web sites. Help with PDF files.		Learners completed learning styles questionnaires during initial assessment. The scheme encompasses a variety of learning styles and teaching strategies but was planned for a learning group where the predominant learning style was visual.

1 2 3		Three page lesson plans are slowly being made available for each week of the scheme. Click on numbered PDF links on right hand side of screen to download. Plans for weeks 1 and 2 and 3-5 now available. Each plan follows the following format. More plans coming soon. Page 1 - aims, objectives, resources, curriculum links Page 2 - timed plan with student and tutor activities Page 3 - individual student objectives, self evaluation

Annual overview	Term 1	Term 2	Term 3
1st half term	N1 Whole Numbers – place value, rounding, four operations, problem solving, checking / estimating, calculators, no. properties, indices, negative nos. N1 Algebra, number patterns BIDMAS, substitution.	MSS1 Measure – estimation, scales, converting metric - imperial units, time, dates, distance, temperature, currency. MSS1 & N2 Money and percentages	HD1 Data handling – collecting data, sorting, representing and interpreting data (pictograms, graphs), pie charts. Statistics – mean, mode, median, range.
2nd half term	N2 Fractions and decimals, calculators. MSS2 Compass points, turning, angles and bearings, parallel lines. MSS2 2D Shapes – properties, symmetry, tessellation, congruence.	N1 & MSS1 Ratio and proportion, map scales MSS2 3D shapes – properties, nets. MSS1 Perimeter, area and volume.	HD2 Probability – likelihood of events, single & combined events, tree diagrams. Revision. Exams. Statistics project. Computer / internet activities.
Curriculum details for elements covered in Term 1		Curriculum reference details Term 2	Curriculum reference details Term 3

Course title pre GCSE Maths	Total no. weeks 35	Qualification aim Level 1 or 2 Adult Numeracy C&G Exam	Level: Course covers all elements of Level 1 and Level 2 numeracy
Student nos. 6-8	Target no. 8	Day(s) 1 day per week (one day time class, one evening class)	Length (mins): 120
sample ILP	Notes on general lesson format After initial assessment every lesson includes time slots for individual work (see lesson plans and ILPs for details) generally working from the text book, worksheets or online tutorials. Lessons begin with a starter activity (normally mental maths) followed by group teaching and activities. Each lesson includes a 10-15 minute tea break. Some students go to the canteen, others use soft seating area of classroom or prefer to use the time to work from the text book (see below). Our mapping document shows text book chapters and level1/2 curriculum links. Lessons always finish with students filling in diary, adding notes to progress chart and discussing what they have done and what they will be doing next.