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This page was set up for
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25/08/09 Please note that some PDF links are temporarily
unavailable (these will be shown in a normal black font rather than blue
hyperlinks). Links will be reinstated when I have time to update old
resources from the now closed AOL site. 30/07/07 For a previous version of this SoW (aimed at tutors rather than students) please visit Interactive Annual Scheme of Work: Level 1 & 2 Adult Numeracy (pre GCSE Maths) 2004-2005 which contains sample ILPs and lesson plans along with alternative versions of some assessments and homework sheets. |
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How to use this web page
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These include: homework sheets, worksheets and investigation sheets (used for curriculum elements not covered in the text book). We also use a large number of overheads from the CIMT Centre for Innovation in Mathematics Teaching (based at Plymouth University) for group and paired work. |
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Annual overview |
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1st half term |
N1 Whole Numbers
– place value, rounding,
four operations, problem solving, checking /
estimating, calculators, primes,
factors, multiples,
square nos. and
roots,
negative nos., |
MSS2 2D
Shapes
– properties, symmetry, tessellation, congruence |
HD1 Data handling – collecting data, sorting, representing and interpreting data (pictograms, graphs), pie charts. Statistics – mean, mode, median, range. |
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2nd half term |
N2 Fractions and decimals, calculators. |
N1 & MSS1
Ratio and proportion, map scales
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HD2 Probability
– likelihood of events, single & combined events, tree diagrams. |
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Topic |
Suggested web activities -
Term 1 |
Numeracy curriculum and text book references |
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Week 1. 6 Sept 05 Place value |
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Health and safety Registration Course overview - the Adult Numeracy Curriculum, text book, etc. Learning
styles and 'How I feel about Maths' questionnaire |
CIMT interactive tutorials BBC Skillswise Place value - large numbers PDF (slides 2.1 2.3)
Handouts you may have missed: |
Ch 1 A. B (place value) |
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Week 2. 13 Sept 05 Written methods. |
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L1 or L2 Diagnostic Assessment (Number section only) Making smallest and largest numbers - people moving game
Shop profits paired card game |
BBC Skillswise CIMT interactive tutorials
Long multiplication
Handouts or homework sheets you may have missed: Long multiplication and long subtraction handouts - use CGP revision books (KS2 Maths, KS3 Maths, Foundation GCSE maths) HW1 Place value worksheet PDF (60K) Answers to this sheet will posted on site in week 4 after homework has been marked and returned to students Note: this version is different from last year's homework sheet which is still available PDF (60K) if you want more practice |
Ch 1 C D E F (4 operations, problems) |
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Week 3. 20 Sept 05. Written methods (division). Problem Solving (multiplication and division) |
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Aural check 1 (mental maths check) - place value Complete L1 or L2 Diagnostic Assessment (Number section only) Multiplication continued (multiplying by 10, 100 mentally, lattice method) Division Paired problem solving (multiplication & division)
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BBC Skillswise interactive activities CIMT interactive tutorials CIMT overheads to display on board with data projector / OHP Multiplication /estimating problems PDF (slide 4.5) Division problems PDF (slide 8.4) Handouts you may have missed Skillswise division handouts - long and short division, division by repeated subtraction - choose the method that suits you. Individual tables and 100 squares (28K) PDF |
Ch 1 F G H
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Week 4. Sept 27 05. Rounding and estimating answers. Prime numbers - factors. |
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Follow-me game (revision of multiplying by 10, 100, 1000) Rounding whole numbers to nearest 10, 100, 1000 Rounding money to nearest 10p, 50p, £1 Paired investigation - Bruner's Beans (prime numbers) |
BBC Skillswise activities CIMT interactive tutorials CIMT overheads to display on board with data projector / OHP Rounding whole numbers PDF (slide 2.2)
Handouts or homework sheets you may have missed Bruner's Beans investigation sheets PDF (35K) Tesco.com receipt - for rounding numbers and estimating. Answer sheet for place value homework (see week 2 for question sheet) PDF (70K) |
Ch 1 I (rounding nos.) Ch 1K |
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Week 5. Oct 4 05. Factors and multiples. |
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Paired problem solving (playgroup questions) Follow-me game (revision of dividing by 10, 100, 1000) Rounding to estimate answers
Factors, multiples |
CIMT interactive activities Prime factors (extension activity) Handouts or homework sheets you may have missed Prime numbers, multiples and factors handouts - use CGP revision books (KS3 Maths, Foundation GCSE maths) Data projector overheads Playgroup questions PDF
(70K)
level 1 questions |
Ch 1 J (rounding nos. to estimate answers). Note: omit first 3 questions of 1J - we are not doing significant figs) Ch 1 L |
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Week 6. Oct 11 05. Squares, cubes and roots. Negative numbers (part 1) |
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Squares, cubes, roots. Indices / powers. Calculators |
CIMT overheads to display on board with data projector / OHP Negative numbers PDF (slide 12.4) BBC Skillswise activities Ordering negative numbers game CIMT interactive activities Ordering and comparing negative numbers Index notation (extension activity) Handouts or homework sheets you may have missed Number lines PDF (30K) |
Ch1 M N Ch 1O |
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Week 7. Oct 18 05. Negative Numbers (part 2). BIDMAS |
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Aural check 2 - on all previous work this term Adding, subtracting and multiplying negative nos. Calculators |
CIMT
interactive tutorials
Multiplying and dividing negative numbers Order of operations (parts of this are definitely extension work!)
Handouts or homework sheets you may have missed: Number lines PDF (30K) |
Ch 1P 2 A B C D E F G and extra worksheets 2H and extra substitution and BIDMAS sheets |
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October Half Term |
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Week 8. Nov 01 05. Introduction to Algebra. Substitution. |
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Language of algebra. Paired card game (gathering terms) Target Skills demo (using formulae) Substitution |
CIMT interactive tutorials Fundamental Algebraic Skills (substitution, gathering terms, formulae) Handouts or homework sheets you may have missed Use CGP revision book (Foundation GCSE maths) worksheets on Language of Algebra, Using Formulae and Substitution. If you want further practice please refer to chapter 6 of the New Nelson Thornes text book. |
2ABCDEFG (selected questions only) Extra worksheets from CGP Foundation GCSE workbook. |
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Week 9. Nov 08 05. Revision and Assessment |
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Revision Assessment of all whole number work covered so far |
Paper and answer sheet will be posted here soon (after everyone has got their paper back!) Note : Last year's paper PDF (100K) and answer sheet PDF (100K) still available for those that want to revise (this year's paper will contain different but similar questions) |
All curriculum elements covered this term |
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Week 10. Nov 15 05. Fractions I |
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Return assessments
Word problems
with calculator Using a fraction wall
Mixed nos. |
CIMT interactive activities Visual fractions Last week's assessment paper PDF (214K) now available. Note : Answer sheet will be posted in three weeks |
4 A B C D |
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Week 11. Nov 22 05. Fractions II |
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Card game - can you make...? (smallest, largest, etc.)
Fractions of a
quantity Fraction key on calculator |
CIMT interactive activities Homework: Level 1 and 2 practice fraction questions 8 level 1 questions PDF (40K). 8 level 2 questions PDF (25K) Answer sheet (for both sets) will be posted in 2 weeks. Note: last year's practice fraction questions (look closely they are all different to this year's!) are still available for revision or extra practice. PDF (100K). |
4 E F G H I |
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Week 12. Nov 29 05. Decimals I |
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Fraction maze (paired revision) What is a decimal Place value - decimals
Ordering decimals - paired card game |
CIMT overheads to display on board with data projector / OHP Ordering decimals PDF (slide 12.2)
CIMT interactive activities
BBC Skillswise |
6 A B C |
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Week 13. Dec 6 Decimals II |
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Paired card game - make the smallest largest decimal, etc. game
4 operations End of term evaluation sheets (posted next week) |
CIMT interactive activities
Handouts or homework sheets you may have missed: Last year's Decimal Homework (PDF) still available |
6 D E F G H I J |
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Week 14. Dec 13 Angles |
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Compass points
IT hour - use this site
to revise whatever you need Continue end of term reviews |
CIMT interactive activities |
3 A B C D E |
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CHRISTMAS 2005 |
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Topic |
Suggested web activities -
Term 2 |
Numeracy curriculum and text book references |
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Week 15. Jan 10. Angles II |
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Aural check 3 (Mental maths) - fractions and decimals
Complete DA books (measure and data)
Paper tearing & cutting activity (angles
in triangle / quad) |
Handouts or homework sheets you may have missed Coming soon: Aural check 3 Homework sheets on angles (from CGP Foundation GCSE workbook) CIMT interactive activities Angles on a line and around a Point Constructing triangles (extension work - we are only covering constructing an angle) |
3 E F G H 3I (1 & 2 only) |
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Week 16. Jan 17. 2D Shapes |
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Assessment
Symmetry New ILPs |
Coming soon 35 min assessment 20 L1&2 Whole number (N1) exam questions Target Skills (level 1 numeracy) - symmetry and tessellation, parallel lines
Tessellation activities CIMT interactive activities |
5 A
D |
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Week 17. Jan 24. Measure I |
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Units of measure: weight/mass, capacity/volume, length/distance.
Estimation - paired
activity - estimating Units of time / dates Go through last week's assessment
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Handouts you may have missed Estimation sheet CIMT overheads to display on board with data projector / OHP Estimating height/length of bus, tree, etc. PDF (slide 17.1) CIMT interactive activities Measuring length using suitable units Homework 10 level 1 or level 2 whole number exam questions (Use CGP exam practice papers A) |
7 (all if needed) |
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Week 18. Jan 31. Measure II |
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Reading linear scales (use real thermometers)
Paired card sort
games: distinguishing between metric and
Imperial units, ordering units by size, etc. Timetables - use local examples
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Handouts / OHTs/ Activity cards you may have missed Measure cards PDF (for various card sort games)Converting within the metric system - metric conversion diagrams PDF (and handouts from same PDF)CIMT overheads to display on board with data projector / OHP Reading linear scales. PDF (slide 7.1) Reading linear scales/ decimal number lines. PDF (slides 12.1 15.1) More decimal number lines PDF (slide 12.1) Lengths and units. Convert cm to mm etc. PDF (slide 9.3) Metric units - convert g to kg, ml to l, etc. PDF (slide 17.2) Time - 24 hour clock, journey times, wages. PDF (13.3, 13.4, 13.5) |
13 A B C D |
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Week 19. Feb 7. Measure III |
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Aural check - metric measures
Converting
between systems Conversion graphs Distance charts (use road atlas) |
Aural check 4 (metric units) CIMT overheads to display on board with data projector / OHP Imperial units and conversion facts. PDF (slides 7.3, 7.4) Convert between metric and imperial. PDF (slide 17.3, 17.4, 17.5)Exchange rate line graph. PDF (slide 10.2) Distance charts PDF slide 3.1, PDF Slide 8.1.
CIMT interactive activities Homework Level 1 Measure questions PDF Homework Level 2 Measure questions PDF |
13 E F K |
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February Half Term |
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Week 20. Feb 21. Percentages I |
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Card sort and matching games (paired) Step 1- order decimals Step 2 - match fractions to decimals Step 3 - match percentages to above Can you see the connection? Introduction to percentages Magic triangle (converting between fractions, decimals, and percentages) Finding 'easy' percentages (1%. 10%. 25% etc.) |
Handouts / Activity cards you may have missed Fraction, decimal and percentage cards PDF (for various card sort games) CIMT overheads to display on board with data projector / OHP Convert between fractions & decimals (recap) PDF (slides 17.8) Convert between fractions & percentages PDF (slide 19.3) Introduction to percentages. PDF (slides 17.5 17.6) CIMT
interactive activities
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14 A B C D |
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Week 21. Feb 28. Percentages II |
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Revise converting between fractions, decimals and %s (paired work filling in table on OHT) Aural check - on above topic Percentages - mental methods of finding 1%, 10%, 5% , 25%, VAT (17.5%), etc, Percentages - written methods Percentage key on calculator (and recap fraction key) Percentage increase and decrease Writing one number as a percentage of another |
Aural check 5 (convert between fractions, decimals and %s) CIMT overheads to display on board with data projector / OHP Percentage of quantities (maze game) PDF (slide 11.5) Percentages of amounts. PDF (slides 17.7) Homework Percentages worksheet from Bodmin site (finish for homework) PDF Extra practice
Level 2 practice percentage questions
PDF |
14 E F G H |
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Week 22. March 7. Ratio 1 |
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Target Skills Demos (from L1 and L2 numeracy CDs) on large screen, (Hair Dye and Best Buy) What is a ratio? Simplifying ratios |
CIMT overheads to display on board with data projector / OHP Simplifying ratios, direct proportion PDF (slides 7.1, 7.4, 7.5) CIMT interactive tutorials |
17 A B C D (omit inverse proportion questions)
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Week 23. March 14. Ratio II (Scale maps and drawings) |
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Aural check on last weeks work (ratios) Understanding scales on maps and models (Use OHT and printed versions of slide 19.5) Investigation - map scales ILP reviews and individual tutorials |
Aural check 6 (ratios) Worksheet for map investigation CIMT overheads to display on board with data projector / OHP Scale plans and maps. PDF (slides 19.6 and 19.5) Map ratios PDF (slide 7.3) CIMT interactive tutorials Equivalent ratios and map scales Homework Level 2 practice ratio exam questions PDF Level 1 practice ratio exam questions PDF |
17E and in-class investigation sheet using local maps |
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Week 24. March 21. Perimeter and circumference. Area of rectangles and squares |
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Explore 3D objects box: overview of names & properties - cubes, prisms, cuboids, pyramids, sphere. Perimeter of squares, rectangles and compound shapes Area of rectangles, squares and compound shapes Paired investigation: relationship between diameter and circumference of various circular objects ILP reviews and individual tutorials |
Worksheet /fill in table for circles investigation CIMT overheads to display on board with data projector / OHP Area & perimeter of rectangles & squares PDF (slides 9.1 9.2 9.4 9.5) Area of compound - special shapes PDF OHT (slides 9.6 9.7) Area of triangles, circles, special shapes PDF (different PDF to above) 9.3 9.4 CIMT interactive tutorials Area & perimeter of squares (also good revision on converting cm to mm) |
11A-G 19 A B C D E F 19 H I K L |
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Week 25. March 28. Area of triangles and circles. Volume. |
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Wages maze game (recap ratio &proportion) Aural check on last week's work (pi, perimeter, area). Area of circles and triangles Volume Paired work on practice volume exam questions Discuss revising on-line (over Easter holiday) |
Aural check 7 (area, pi and perimeter) Practice volume questions for paired work Area of triangles PDF (slides 9.8- 9.10). Volume of cuboids and compound shapes PDF (slides 22.1-22.4) Volume - introduction (the unit cube) Volume of a cube Homework
Level 1 or 2 complete practice exam H (available from
move-on site)
Revision handout - using the Internet for practice tests |
19J M N O 19 P Q (omit rest of chapter 19)
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EASTER |
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Topic |
Suggested web activities - Term 3 and extra copies of class handouts / homework etc. |
Numeracy curriculum and text book references |
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Week 26. April 18. Data collection. Tally charts |
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Divisibility tests and division facts (revision) Introduce – what is statistics? Sampling – random to avoid bias Types of data - qualitative and quantitative (discrete and continuous) Ways of collecting data -tallies Extracting information from tables Grouping data Bar charts and vertical line graphs |
Divisibility Rules PPT (from Primary Resources) Target Skills (Entry 3 numeracy) - collecting data (tallies) CIMT overheads to display on board with data projector / OHP Tallies and bar chart (crisps) PDF (slide20.7) Tally and vertical line graph (children in families) PDF (slide 5.3) Blank tally (use to show grouping data in a tally) PDF (slide 11.4) CIMT interactive tutorials Presentation of quantitative data (tallies and vertical line graphs) Homework sheets you may have missed Use CGP revision book (Foundation GCSE maths) worksheet 4.5 Tally - Frequency tables (p74-76) |
8A, B (1only), C (1-4, 7) 8F G 10A (pick 1 only) 10B (pick 1 only) note: need graph paper |
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Week 27. April 25. Interpreting bar charts, graphs, pictograms |
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Revision - multiplying and dividing decimals Dual bar charts Pictograms Good and bad pictograms (traffic flow) Line graphs - continuous data
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CIMT overheads to display on board with data projector / OHP Frequency chart and pictogram (cars), Line graph (temperature), Line graph (rain) PDF (slides 20.5. 20.8, 20.9) Tally and pictograms (travel) PDF (slide 11.3) Bath time with Archimedes (interactive line graph) CIMT interactive tutorials Collecting data (pictograms, bar charts) Homework sheets you may have missed Use CGP revision book (Foundation GCSE maths) worksheet 4.6 4.7 4.8 P79-81) Tally-Bar charts, Pictograms, Bar charts. |
p60 key features of bar charts. p163-164 dual bar charts choose 1 example to draw from 10C Pictograms10D (1 & 3 only) 10E (no 3, 4, 7) |
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Week 28. May 2. Pie charts |
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Aural check on last week's work (pictograms, bar charts) Scatter graphs x and y axes Target Skills L1 numeracy demos: Change sin jobs (line graphs), voting (pie charts) Pie charts Sample pie chart exam questions on OHTs Look at real exam papers to see what they look like (double sided booklet etc.) and how to use multiple choice City & Guilds answer sheet (use enlarged version on OHP) |
Aural check 8 (bar charts and pictograms) Use CIMT Mental test 11.4 PDF CIMT interactive tutorials Discrete ungrouped data (inc pie charts) Sample L1 and L2 pie chart questions OHTs CIMT overheads to display on board with data projector / OHP PDF (slides 20.4 - constructing a pie chart: favourite colours), PDF (slide 11.5 - 'homework times' pie chart ). Homework sheets you may have missed Practice L1 or L2 exam to take home (Feb 2002 from QCA site) with multiple choice answer sheet |
Scatter graphs - look briefly at Chapter 25 Pie charts 16A (2, 4) 16B (4, 7, 8) |
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Week 29. May 9. Mean, mode, median, range. |
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Exam tips sheets (and discussion) Visit exam hall. Annual class photo! Aural check on last week's work (pie charts) Averages Target Skills (L1 numeracy) slideshow (mean and range) |
Aural check 8 (bar charts and pie charts) Use CIMT Mental test 11.3 PDF CIMT interactive tutorials Measures of central tendency (mean. mode. median) Dispersion (range) CIMT overheads to display on board with data projector / OHP PDF Slides 5.4 - 5.7. PDF Slide 8.4 (mean. mode, median, range) Introduction to Averages PPT (from FERL) - mean. mode, median. |
Chap 20 - ABCDE (all) and F (1-12 only) |
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Week 30 May 16. Revision and mock exam |
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Week 31. May 23. Revision and probability |
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CIMT interactive tutorials |
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Summer Half Term |
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32. Exam (note this is on a Monday night not a Tuesday) |
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City and Guilds paper-based Adult Numeracy Exams L1 and 2: Monday June 5th 2006 |
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33. June 13 2005. Last class |
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Exam reflections Course evaluation Progression interviews Farewells (local pub) |
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End of course |
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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/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 |
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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/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 |
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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/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. |
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Curriculum reference details for additional elements covered in Terms 2 |
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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/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 |
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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/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 |
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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 |
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 |
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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/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 |
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Curriculum reference details for additional elements covered in Term 3 |
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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/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 |
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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/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
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