# Mathematics Entry 2 - Sample Scheme of Work by chenmeixiu

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```									Scheme of Work:
Functional Skills Mathematics: Entry Level 2

Course Delivery
Duration: 30 weeks

Aims
Performance – Learners can:
understand simple practical problems in familiar contexts and situations

 select basic mathematics to obtain answers

 use mathematics to obtain answers to simple given practical problems that are clear and routine

 generate results to a given level of accuracy

 use given checking procedures

 describe solutions to simple given practical problems in familiar contexts and situations

Regular resources
Smartboard, mini whiteboards & marker pens, flipchart and glue sticks, Powerpoint, rulers, calculators, paper and pens for group
work

Functional Skills: Mathematics - Scheme of Work                   1
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

Learning Objectives:                                                                                          Functional Skills
Week/                                                       Assessment of
Content            students will be able                            Teaching and Learning Activities        Resources            Standards
Session                                                     Learning
to…
Induction          Explain the Functional
Q&A
maths Skills                                     Initial assessment activities:
Initial and
Initial            qualification and the                            e.g. paper or computer-based
1          assessment         nature of assessment                             assessments, discussion, observation                         NA
initial and                                                  assessment
and                                                                 of assessment activities, interview
diagnostic                                                   activities
diagnosStic        Conduct initial and                              and self-assessment
assessments
assessment         diagnostic assessments
Identify current level of
Feedback on        working, strengths and      Initial and
Give feedback on initial and            Assessment
initial and        weaknesses                  diagnostic
2                                                                          diagnostic assessments and              results              NA
diagnostic         Set targets and write       assessment
negotiate ILP with learner              ILP
assessment         Individual Learning         results
Plans

 Activity - Match figures to words
Observation of       (smartboard)
matching            Whole group activities – counting
activity             change in twos, fives or tens                                Understand and use
Read, write order and                           Cards activity – make random            Random card set      whole numbers with
Q&A                  number cards between 1 and 100,         from 1 to 100        up to two significant
compare numbers with
sort out cards into groups (do not      Practice tasks       figures, including the
Working with      up to 2 significant
classify groups for learners),          Lists of prices of   use of zero as a place
numbers with       figures
3                                                     Observation of       identify odd and even numbers           items in 2           holder
2 significant      Recognise odd and even
card sort,          Paired activities – order a set of      significant
figures            numbers
ordering and         shopping prices, compare prices of      figures              Identify odd and even
Identify missing
comparison           items from different shops              Computer             numbers
numbers in sequences
activities          Practice tasks – write the value of a   Smartboard
digit in a number, write numbers in
Answers on           words and figures, order numbers,
practice tasks       identify odd and even numbers,
find missing numbers in sequences

Functional Skills: Mathematics - Scheme of Work                             2
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

 Discussion on language of addition –
Observation of    Mini whiteboard activities – put
mini               choice of 3 differentiated additions
whiteboard         on board; ask learners to choose at
Add numbers up to 100       and matching       least one to do using any method,        Mini whiteboards
or with 2 significant       activities         canvass methods                          Washing line
Working on
figures using a variety                       Activities – e.g. ask learners to        with problems      Understand and use
4                         of strategies               Q&A                volunteer any two numbers which          Practice tasks     addition in practical
numbers up to
100
practical-problem           Observation of    Washing line – ask learners in pairs     Smartboard
solving                     washing line       to choose any differentiated
activity           question from washing line, solve
Completion of      question and replace on line,
practice tasks     discuss results for different pairs

 Discussion on language of
subtraction – from, minus, less than
   Mini whiteboard activities – put
Observation of
choice of 3 differentiated
mini                 subtractions on board; ask learners
whiteboard           to choose at least one to do using
Subtract numbers up to                                                                  Mini whiteboards
activity
100 or with 2                                    any method, canvass methods            Washing line
Working
subtraction
significant figures using
Q&A                 Activities – e.g. ask learners to      with problems      Understand and use
5                         a variety of strategies                          volunteer any two numbers which        Practice tasks     subtraction in
with numbers
Identify when to                                 subtract to 10 (smartboard)            Computer           practical situations
up to 100                                      Observation of
subtract in practical-                          Washing line – ask learners in pairs   Smartboard
washing line
problem solving                                  to choose any differentiated
activity
Completion of        question from washing line, solve
practice tasks       question and replace on line,
discuss results for different pairs
questions in subtraction

Functional Skills: Mathematics - Scheme of Work                            3
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

 Mini whiteboard activities – choose
Observation of     from combination of addition and
mini               subtraction differentiated
whiteboard         questions
Working on
and card                                                 Mini whiteboards
activities                                               Card activities
6      subtraction        subtract in practical-                       subtraction uses in everyday life                        addition/subtraction
Calculators
with numbers       problem solving
Q&A               Card activities – match question                         in practical situations
up to 100                                                       cards to answer cards
Observation of    Group activity – tuck shop – using
group activity     vouchers to work out daily costs of

 Card sort activity – have word
Observation of     problems on cards, ask groups to
card sort          sort cards into addition and
activity           subtraction piles
 Write practical problems on
Smartboard ; colour code              Mini whiteboards
Working with                                 Q&A and            addition/subtraction language in      Card activity
addition and                                 observation of     problem, relevant values and          Coins
subtract in practical-                                                                                Understand and use
subtraction in                               Smartboard         irrelevant information in each        Calculators
practical                                    activity           problem. Ask learners to identify     Computer
Use answers to make                                                                                   in practical situations
problem-                                                        each part                             Smartboard
conclusions
solving                                      Observation of    Card matching activity – put
card matching      functional maths Entry level 2 past
activity           questions on cards, have answer
Observation of     card set with deliberate errors
practical         Practical activity – e.g. shopping,
activity           buying more than one item and
giving change

Functional Skills: Mathematics - Scheme of Work                         4
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

 Mini whiteboard activities – choose
from differentiated doubling
questions: canvass methods e.g.
Observation of       partitioning, multiplying by 2
mini                Investigate moving backwards to
whiteboard           get to question by halving
activity             (smartboard)                          Mini whiteboards
Find twice the value of
   Demonstrate halving answers by        Practice
numbers with 2              Q&A
physically dividing a number of       questions
significant figures using
Working with                                                        items in two                          Game               Use doubling and
a variety of strategies     Observation of
8      halving and
Find half the value of      game and            Practice questions: doubling and      Card activity      halving in practical
doubling                                                            halving, allow halving to act as      Calculators        situations
numbers with 2              completion of
check for doubling and vice versa     Computer
significant figures using   practice
   Game – move around board picking      Smartboard
a variety of strategies     questions
Observation of       up items to buy, learners pick up
card matching        cards on route with instructions to
activity             double the price or half the price
of the item
   Card matching activity – put
functional maths Entry level 2 past
card set with deliberate errors

Functional Skills: Mathematics - Scheme of Work                            5
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

 Practical tasks - make amounts of
money up to £1 in different ways
using 1p, 2p, 5p, 10p, 20p and 50p
coins, give change
 Teach how to identify operation
and key information in money
Observation of
Find different amounts                       calculation problems (Smartboard)
of money using a
and card           Card activity - put word problems       Coins
combination of coins                          involving adding prices, subtracting
activity                                                    Computer
Identify the operation                        prices, doubling prices and halving
Working with                                                                                             Smartboard         Recognise and use
9                              in money problems                             prices on cards; ask learners to sort
money                                        Q&A                                                         Card activity      money
Develop skills in                             cards into categories and then          Catalogues
extracting relevant                           solve in pile of problems in pairs
Observation of                                              calculators
information in problems                      Practical activity – price items in £
practical
with money                                    up to £100 and prices with 2
activity
significant figures e.g. £230 in e.g.
catalogue, produce shopping
requests on cards (e.g. 2 DVDs, 1
DVD and 1 DVD player), ask
learners to select cards at random
and work out cost in pairs

 Recap skills (Smartboard)                                  Understand and use
Use numbers with 2
whole numbers with
significant figures in                       Group problem-solving: give price
up to two significant
practical problems        Observation of      list in pounds up to £100, give
figures
Identify the operation    group               problems on cards which develop
Identify odd and even
Functional         in practical problems     problem-            process skills (e.g. ‘which two
Price list         numbers
maths              requiring calculation     solving and         items can you afford if you only
Mini whiteboards   Understand and use
10          problems with      with money or whole       card activity       want to spend £50?’, ‘Joe spent
numbers and        numbers                                       exactly £20. Which two items did
Card activity      in practical situations
money              Develop skills in         Q&A                 he buy?’)
Use doubling and
extracting relevant                          Card activity: put functional maths                        halving in practical
information in problems                       questions on cards, ask learners to                        situations
with whole numbers                            sort into categories and then solve                        Recognise and use
and money                                    Canvass results                                            money

Functional Skills: Mathematics - Scheme of Work                          6
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

 Recap months, discuss dates
important to learners (e.g.
birthdays, anniversaries)
Observation of
   Teach common date formats
card activities       (Smartboard)
and
Smartboard
   Card match – different date
Computer
Use common date                                 formats, include errors
Working with                                 activity                                                     Smartboard
formats                                        Card activity – have set of cards                           Recognise and use
11     dates and                                                                                                 Card activity
Identify dates on                               with dates on in common date                                time
calendars                                    Q&A                                                          Calendar
calendars                                       formats, have year calendar on         diary
Observation of        Smartboard, ask learners to come
practical             up and circle dates on their cards
activity             Practical activity – receptionist at
surgery scheduling appointment
dates, write in patient names in
online diary

Tell the time using
 Teach telling the time in hours,
analogue and digital                          half hours and quarter hours
time in whole, half and   Observation of      (Smartboard)                             Large clockface
quarter hours             card activities
Working with       Read times in words                          Card activity – matching clock face      Small class set of
Recognise and use
12                                                                      times with analogue times with           clock faces
time               and figures in whole,     Q&A                                                                               time
times in words                           Card activities
half and quarter hours
 Planning event card activity –           Mini whiteboards
Use times to plan
schedules                                     decide in groups how to plan a
three day holiday

Functional Skills: Mathematics - Scheme of Work                           7
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

 Recap finding missing numbers in
sequences (Smartboard)
Find missing numbers in                     Card activity 1 – identify missing
scales                  Observation of                                                                   Recognise sequences
numbers in sequences                     Card activites
Use scales to read      card activities                                                                  of numbers
Working with       measurements to the
 Discussion – different types of          Computer
Use simple scales and
13                                                                     scales (Smartboard)                      Smartboard
simple scales      nearest labelled        Q&A                                                                              measure to the
 Card activity 2– in pairs read           Mini whiteboards
division                                                                                                 nearest labelled
Identify common                              measurements on scale cards                                 division
measurements                                Card activity 3 – discuss how to
match item cards with
measurements found in activity 2

 Discuss how to measure
 Practical activities – measure
length of classroom using strides,
estimate width of classroom in
strides, measure width of desk in
Estimate and measure                           hand spans, estimate length of desk
lengths using non-        Observation of       in hand spans
standard units            practical           Discuss what metric units length is
measured in, establish that metres     Rulers
Recognise common          activities
are bigger than centimetres and        Mini whiteboards
Working with       metric units for length                                                                                  Recognise and use
14                                                                       centimetres are bigger than            Objects to
length             Measure using a metric    Q&A                                                                            familiar lengths
measure
ruler                                          millimetres
Estimate and measure      Completion of       Show centimetres on a ruler
lengths using metric      practice tasks      Use a ruler to measure objects with
units                                          lengths having a whole amount of
centimetres
   Practical activity - estimating and
measuring objects
   Practice task – measuring lengths to
nearest labelled division

Functional Skills: Mathematics - Scheme of Work                          8
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

 Teach abbreviations for metric
units of length: mm, cm, m
(Smartboard)
 (Smartboard) - match different
Observation of
Know abbreviations for                       measuring instruments with
Smartboard                                                 Mini whiteboards
common metric units                          measured objects e.g. ruler,
and card                                                   Rulers
Recognise common                             measuring tape, trundle wheel
activities                                                 Measuring tapes
15
Working with       measuring instruments                       Card activity – have selection of       Computer
Recognise and use
length             for length                                   images of objects on cards of clear                        familiar lengths
Q&A                                                        Smartboard
Estimate and order                           different lengths and a set cards       Card activity
lengths of common                            with mm, cm, m on; ask learners to
objects                                      arrange object images in order of
size of length, ask them to then
discuss whether they would
measure them in mm, cm, or m

 Discuss what weight is measured in,
establish that kilograms are bigger
than grams
Recognise common                              Weigh objects on small scales and
metric units for weight   Observation of       learners on weighing scales (to
nearest labelled division)            Small scale pan
Weighing scales
scales to the nearest     and card            Teach abbreviations g, kg             Objects to weigh
labelled division         activity             (Smartboard)
Working with                                                                                            Mini whiteboards   Recognise and use
16                        Order weights of given                        Card activity – have selection of
weight                                                                                                  Computer           familiar weights
objects                   Q&A                  images of objects on cards of clear   Smartboard
Know abbreviations for                         different weights and a set cards     Practice task
common metric units       Completion of        with g, kg on; ask learners to
for weight                practice task        arrange object images in order of
size of weight, ask them to then
discuss whether they would weigh
them in g or kg

Functional Skills: Mathematics - Scheme of Work                          9
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

 Discuss what capacity is measured
in, establish that litres are bigger
Recognise common                             than millilitres
metric units for
 Measure different capacities of
capacity
common objects e.g. litre of
Measure capacity of       Observation of
orange juice, different size bottle    Different sized
of water, can of fizzy drink and       containers with
using scales to the       and practical
compare with capacities given on       liquid
Working with       nearest labelled          activity                                                                     Recognise and use
17                                                                          labels                                 Measuring jugs
capacity           division                                                                                               familiar capacities
Order capacities of       Q&A               Teach abbreviations ml, l              Computer
(Smartboard)                           Smartboard
given liquids
 Practical activity – have selection    Mini whiteboards
Know abbreviations for
common metric units                          of different size containers with
for capacities                               liquid in, ask learners to order in
size of capacities, ask them to
check by measuring actual
capacities

 Discuss what temperature is
measured in
 Discuss common temperatures e.g.
normal body temperature,
Observation of     temperature of ice and boiling
Know units for            card matching      water, temperature of warm sunny
temperature               and practical                                             Thermometers in
day in UK
Know common               activities                                                degree Celcius
18
Working with
temperatures
 Card matching activity – match         Card activity
Recognise and use
temperature                                                     temperatures in °C with                                   familiar temperatures
Measure temperature       Q&A                                                       Mini whiteboards
to the nearest labelled                      temperatures of e.g. boiling water     Practice task
division                  Completion of      (include error cards)
practice task     Practical activity – learners
measure each other’s body
temperature in pairs (to nearest
labelled division)

Functional Skills: Mathematics - Scheme of Work                        10
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

Observation of     Recap skills in using time and
Know and use common       card activity
measures (Smartboard)
metric measures
Functional
Read common measures      Q&A                Card activity: put functional maths     Computer
Recognise and use
maths with                                                       questions about time and measures       Smartboard
19                        to the nearest labelled                                                                                   familiar measures,
time and                                                         on cards, ask learners to sort into     Card activity
division                  Observation of                                                                  including time
measures                                                         categories and then solve in pairs      Mini whiteboards
Use measurements to       group
or small groups
make conclusions          activities
 Canvass results

 Recap names of 2-D and 3-D shapes
 Teach language of shapes                Boxes of
Know properties of                            (Smartboard): side, corner, edge,       common shapes
common 2-D and 3-D
face                                    and solids
shapes
Working with
Use properties of                            Card game –shape dominoes               Dominoes            Know properties of
20     shape and                                                       Group activity – sort 2-D and 3-D       Card problem-       simple 2-D and 3-D
common 2-D and 3-D
space                                                            shapes into piles, identify and         solving activity    shapes
shapes to solve
tabulate properties                     Computer
practical problems and
 Group activities – uses properties of   Smartboard
to make conclusions
shapes in card problem-solving
activity

 Group practical activity: plan
seating area with rectangle tables,
Observation of      positioning together and apart          Large boxes and
group practical                                             smaller identical
Use properties of         activities
 Group practical activity: have          boxes to be
Working with       common 2-D and 3-D                            numerous identical small boxes and      packed              Know properties of
21     shape and          shapes to solve           Q&A                 selection of large boxes, estimate      Mini whiteboards    simple 2-D and 3-D
how many small boxes can fit into
space              practical problems and                                                                Rectangular         shapes
each large box, check to see which
to make conclusions                                                                   tables in
Completion of       group has the closest estimate          classroom
problem-solving with shape and
space

Functional Skills: Mathematics - Scheme of Work                         11
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

 Recap extracting highest and
Observation of
Identify the largest and                      lowest values from string of
holiday card                                                Computer
smallest value in a                           numbers (Smartboard)
activity                                                    Smartboard
22
Working with       simple list                                  Holiday card activity – in groups        Holiday card
Extract information
information        Use information in                            matches statements with lists ;                             from simple lists
Q&A                                                         activity
simple lists to make                          makes decision on holiday                Mini whiteboards
recommendations                               destination based on criteria and
lists of information

information from lists e.g. highest
and lowest values, putting
information in order, comparing
Observation of     information from two separate lists
Extract and use
and practical      cafe price list, ask questions such      Cafe price lists
information in simple
Working with                                  activities         as what is the price of two coffees?     Calculators        Extract information
lists to draw
23     information                                                      Etc.                                     Mini whiteboards   from simple lists
conclusions and make
Q&A               Practical activity – gives groups e.g.   Catalogues
recommendations
sports equipment catalogues from
different companies – ask them to
find cheapest items, to collect
prices and put in a table; compare
results from different groups and
make recommendations

Functional Skills: Mathematics - Scheme of Work                          12
2010/2011
Scheme of Work:
Functional Skills Mathematics: Entry Level 2

 Teach tallies (Smartboard)
 Practical activity – in pairs draw up
Observation of
tally marks to show a collection of
practical
Draw tally marks                             different coins
activities                                                  Coins
Working with
Represent information                       Practical activity – e.g. with bags of   Bags of sweets     Extract information
24                        using tally marks                            different coloured sweets, ask each
information                                  Q&A                                                         Practice task      from simple lists
Use tally marks to draw                      group to tally different colours,        Mini whiteboards
conclusions                                  compare and make conclusion e.g.
Completion of
practice task      red is the most popular colour
 Practice task – collect information
using tallies
Q&A
Completion of                                                                  All
25        functional      in Entry Level 2                            Revision using sample assessments         assessments
sample
maths         functional maths
assessments
External           All
26                        in Entry Level 2          External          External assessment – Set 1 papers
assessments
functional maths          assessment
Revising
Individual feedback on assessment         External           All
27        functional                                Q&A
and revision                              assessments
maths
External           All
28                        in Entry Level 2          External          External assessment – Set 2 papers
assessments
functional maths          assessment
Revising
Individual feedback on assessment         External           All
29        functional
Q&A               and revision                              assessments
maths