FS Maths E2 - Edexcel SOW

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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
2010/2011
1
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
Week/
Session
Content
Induction
Initial
assessment
and
diagnosStic
assessment
1
2
Feedback on
initial and
diagnostic
assessment
Learning Objectives:
students will be able
to…
Explain the Functional
maths Skills
qualification and the
nature of assessment
Conduct initial and
diagnostic assessments
Identify current level of
working, strengths and
weaknesses
Set targets and write
Individual Learning
Plans
Assessment of
Learning
Q&A
Answers on
initial and
diagnostic
assessments
Initial and
diagnostic
assessment
results
Functional Skills
Standards
Teaching and Learning Activities
Resources
Initial assessment activities:
e.g. paper or computer-based
assessments, discussion, observation
of assessment activities, interview
and self-assessment
Initial and
diagnostic
assessment
activities
NA
Give feedback on initial and
diagnostic assessments and
negotiate ILP with learner
Assessment
results
ILP
NA
 Activity - Match figures to words
Observation of
matching
activity
3
Working with
numbers with
2 significant
figures
Read, write order and
compare numbers with
up to 2 significant
figures
Recognise odd and even
numbers
Identify missing
numbers in sequences
Q&A
Observation of
card sort,
ordering and
comparison
activities
Answers on
practice tasks
Functional Skills: Mathematics - Scheme of Work
2010/2011
(smartboard)
 Whole group activities – counting
change in twos, fives or tens
 Cards activity – make random
number cards between 1 and 100,
sort out cards into groups (do not
classify groups for learners),
identify odd and even numbers
 Paired activities – order a set of
shopping prices, compare prices of
items from different shops
 Practice tasks – write the value of a
digit in a number, write numbers in
words and figures, order numbers,
identify odd and even numbers,
find missing numbers in sequences
2
Random card set
from 1 to 100
Practice tasks
Lists of prices of
items in 2
significant
figures
Computer
Smartboard
Understand and use
whole numbers with
up to two significant
figures, including the
use of zero as a place
holder
Identify odd and even
numbers
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
 Discussion on language of addition –
plus, add, more than
4
Working on
addition with
numbers up to
100
Add numbers up to 100
or with 2 significant
figures using a variety
of strategies
Identify when to add in
practical-problem
solving
Observation of
mini
whiteboard
and matching
activities
Q&A
Observation of
washing line
activity
Completion of
practice tasks
 Mini whiteboard activities – put
choice of 3 differentiated additions
on board; ask learners to choose at
least one to do using any method,
canvass methods
 Activities – e.g. ask learners to
volunteer any two numbers which
add to 50 (smartboard)
 Washing line – ask learners in pairs
to choose any differentiated
question from washing line, solve
question and replace on line,
discuss results for different pairs
 Practice tasks – differentiated
questions in addition
Mini whiteboards
Washing line
with problems
Practice tasks
Computer
Smartboard
Understand and use
addition in practical
situations
 Discussion on language of
5
Working
subtraction
with numbers
up to 100
Subtract numbers up to
100 or with 2
significant figures using
a variety of strategies
Identify when to
subtract in practicalproblem solving
Observation of
mini
whiteboard
activity
Q&A
Observation of
washing line
activity
Completion of
practice tasks




Functional Skills: Mathematics - Scheme of Work
2010/2011
subtraction – from, minus, less than
Mini whiteboard activities – put
choice of 3 differentiated
subtractions on board; ask learners
to choose at least one to do using
any method, canvass methods
Activities – e.g. ask learners to
volunteer any two numbers which
subtract to 10 (smartboard)
Washing line – ask learners in pairs
to choose any differentiated
question from washing line, solve
question and replace on line,
discuss results for different pairs
Practice tasks – differentiated
questions in subtraction
3
Mini whiteboards
Washing line
with problems
Practice tasks
Computer
Smartboard
Understand and use
subtraction in
practical situations
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
6
Working on
addition and
subtraction
with numbers
up to 100
Identify when to add or
subtract in practicalproblem solving
Observation of
mini
whiteboard
and card
activities
Q&A
Observation of
group activity
 Mini whiteboard activities – choose
from combination of addition and
subtraction differentiated
questions
 Discussion of addition and
subtraction uses in everyday life
 Card activities – match question
cards to answer cards
 Group activity – tuck shop – using
vouchers to work out daily costs of
buying two items
Mini whiteboards
Card activities
Calculators
Understand and use
addition/subtraction
in practical situations
 Card sort activity – have word
Observation of
card sort
activity
7
Working with
addition and
subtraction in
practical
problemsolving
Identify when to add or
subtract in practicalproblem solving
Use answers to make
conclusions
Functional Skills: Mathematics - Scheme of Work
2010/2011
Q&A and
observation of
Smartboard
activity
Observation of
card matching
activity
Observation of
practical
activity
problems on cards, ask groups to
sort cards into addition and
subtraction piles
 Write practical problems on
Smartboard ; colour code
addition/subtraction language in
problem, relevant values and
irrelevant information in each
problem. Ask learners to identify
each part
 Card matching activity – put
functional maths Entry level 2 past
questions on cards, have answer
card set with deliberate errors
 Practical activity – e.g. shopping,
buying more than one item and
giving change
4
Mini whiteboards
Card activity
Coins
Calculators
Computer
Smartboard
Understand and use
addition/subtraction
in practical situations
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
 Mini whiteboard activities – choose
Observation of
mini
whiteboard
activity
8
Working with
halving and
doubling
Find twice the value of
numbers with 2
significant figures using
a variety of strategies
Find half the value of
numbers with 2
significant figures using
a variety of strategies
Q&A
Observation of
game and
completion of
practice
questions
Observation of
card matching
activity





Functional Skills: Mathematics - Scheme of Work
2010/2011
from differentiated doubling
questions: canvass methods e.g.
adding two numbers, counting up,
partitioning, multiplying by 2
Investigate moving backwards to
get to question by halving
(smartboard)
Demonstrate halving answers by
physically dividing a number of
items in two
Practice questions: doubling and
halving, allow halving to act as
check for doubling and vice versa
Game – move around board picking
up items to buy, learners pick up
cards on route with instructions to
double the price or half the price
of the item
Card matching activity – put
functional maths Entry level 2 past
questions on cards, have answer
card set with deliberate errors
5
Mini whiteboards
Practice
questions
Game
Card activity
Calculators
Computer
Smartboard
Use doubling and
halving in practical
situations
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
 Practical tasks - make amounts of
9
10
Working with
money
Functional
maths
problems with
numbers and
money
Find different amounts
of money using a
combination of coins
Identify the operation
in money problems
Develop skills in
extracting relevant
information in problems
with money
Use numbers with 2
significant figures in
practical problems
Identify the operation
in practical problems
requiring calculation
with money or whole
numbers
Develop skills in
extracting relevant
information in problems
with whole numbers
and money
Functional Skills: Mathematics - Scheme of Work
2010/2011
Observation of
practical tasks
and card
activity
Q&A
Observation of
practical
activity
Observation of
group
problemsolving and
card activity
Q&A
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
calculation problems (Smartboard)
 Card activity - put word problems
involving adding prices, subtracting
prices, doubling prices and halving
prices on cards; ask learners to sort
cards into categories and then
solve in pile of problems in pairs
 Practical activity – price items in £
up to £100 and prices with 2
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
Coins
Computer
Smartboard
Card activity
Catalogues
calculators
Recognise and use
money
Price list
Mini whiteboards
Calculators
Card activity
Understand and use
whole numbers with
up to two significant
figures
Identify odd and even
numbers
Understand and use
addition/subtraction
in practical situations
Use doubling and
halving in practical
situations
Recognise and use
money
 Recap skills (Smartboard)
 Group problem-solving: give price
list in pounds up to £100, give
problems on cards which develop
process skills (e.g. ‘which two
items can you afford if you only
want to spend £50?’, ‘Joe spent
exactly £20. Which two items did
he buy?’)
 Card activity: put functional maths
questions on cards, ask learners to
sort into categories and then solve
 Canvass results
6
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
 Recap months, discuss dates
11
Working with
dates and
calendars
Use common date
formats
Identify dates on
calendars
Observation of
card activities
and
Smartboard
activity
12
Working with
time
Functional Skills: Mathematics - Scheme of Work
2010/2011


Q&A
Observation of
practical
activity
Tell the time using
analogue and digital
time in whole, half and
quarter hours
Read times in words
and figures in whole,
half and quarter hours
Use times to plan
schedules


important to learners (e.g.
birthdays, anniversaries)
Teach common date formats
(Smartboard)
Card match – different date
formats, include errors
Card activity – have set of cards
with dates on in common date
formats, have year calendar on
Smartboard, ask learners to come
up and circle dates on their cards
Practical activity – receptionist at
surgery scheduling appointment
dates, write in patient names in
online diary
Computer
Smartboard
Card activity
Calendar
diary
Recognise and use
time
Large clockface
Small class set of
clock faces
Card activities
Mini whiteboards
Recognise and use
time
 Teach telling the time in hours,
Observation of
card activities
Q&A
half hours and quarter hours
(Smartboard)
 Card activity – matching clock face
times with analogue times with
times in words
 Planning event card activity –
decide in groups how to plan a
three day holiday
7
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
 Recap finding missing numbers in
13
Working with
simple scales
Find missing numbers in
scales
Observation of
Use scales to read
card activities
measurements to the
nearest labelled
Q&A
division
Identify common
measurements
sequences (Smartboard)
 Card activity 1 – identify missing
numbers in sequences
 Discussion – different types of
scales (Smartboard)
 Card activity 2– in pairs read
measurements on scale cards
 Card activity 3 – discuss how to
match item cards with
measurements found in activity 2
Card activites
Computer
Smartboard
Mini whiteboards
Recognise sequences
of numbers
Use simple scales and
measure to the
nearest labelled
division
 Discuss how to measure
 Practical activities – measure
14
Working with
length
Estimate and measure
lengths using nonstandard units
Recognise common
metric units for length
Measure using a metric
ruler
Estimate and measure
lengths using metric
units
Observation of
practical
activities

Q&A
Completion of
practice tasks




Functional Skills: Mathematics - Scheme of Work
2010/2011
length of classroom using strides,
estimate width of classroom in
strides, measure width of desk in
hand spans, estimate length of desk
in hand spans
Discuss what metric units length is
measured in, establish that metres
are bigger than centimetres and
centimetres are bigger than
millimetres
Show centimetres on a ruler
Use a ruler to measure objects with
lengths having a whole amount of
centimetres
Practical activity - estimating and
measuring objects
Practice task – measuring lengths to
nearest labelled division
8
Rulers
Mini whiteboards
Objects to
measure
Recognise and use
familiar lengths
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
 Teach abbreviations for metric
15
Working with
length
Know abbreviations for
common metric units
Recognise common
measuring instruments
for length
Estimate and order
lengths of common
objects
Observation of
Smartboard
and card
activities
Q&A
Completion of
practice tasks
units of length: mm, cm, m
(Smartboard)
 (Smartboard) - match different
measuring instruments with
measured objects e.g. ruler,
measuring tape, trundle wheel
 Card activity – have selection of
images of objects on cards of clear
different lengths and a set cards
with mm, cm, m on; ask learners to
arrange object images in order of
size of length, ask them to then
discuss whether they would
measure them in mm, cm, or m
 Practice task
Mini whiteboards
Rulers
Measuring tapes
Computer
Smartboard
Card activity
Practice task
Recognise and use
familiar lengths
 Discuss what weight is measured in,
16
Working with
weight
Recognise common
metric units for weight
Weigh objects using
scales to the nearest
labelled division
Order weights of given
objects
Know abbreviations for
common metric units
for weight

Observation of
weighing task
and card
activity
Q&A


Completion of
practice task

Functional Skills: Mathematics - Scheme of Work
2010/2011
establish that kilograms are bigger
than grams
Weigh objects on small scales and
learners on weighing scales (to
nearest labelled division)
Teach abbreviations g, kg
(Smartboard)
Card activity – have selection of
images of objects on cards of clear
different weights and a set cards
with g, kg on; ask learners to
arrange object images in order of
size of weight, ask them to then
discuss whether they would weigh
them in g or kg
Practice task
9
Small scale pan
Weighing scales
Objects to weigh
Mini whiteboards
Computer
Smartboard
Practice task
Recognise and use
familiar weights
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
 Discuss what capacity is measured
17
Working with
capacity
Recognise common
metric units for
capacity
Measure capacity of
containers with liquids
using scales to the
nearest labelled
division
Order capacities of
given liquids
Know abbreviations for
common metric units
for capacities
Observation of
measuring task
and practical
activity
Q&A
in, establish that litres are bigger
than millilitres
 Measure different capacities of
common objects e.g. litre of
orange juice, different size bottle
of water, can of fizzy drink and
compare with capacities given on
labels
 Teach abbreviations ml, l
(Smartboard)
 Practical activity – have selection
of different size containers with
liquid in, ask learners to order in
size of capacities, ask them to
check by measuring actual
capacities
Different sized
containers with
liquid
Measuring jugs
Computer
Smartboard
Mini whiteboards
Recognise and use
familiar capacities
Thermometers in
degree Celcius
Card activity
Mini whiteboards
Practice task
Recognise and use
familiar temperatures
 Discuss what temperature is
measured in
 Discuss common temperatures e.g.
18
Working with
temperature
Know units for
temperature
Know common
temperatures
Measure temperature
to the nearest labelled
division
Functional Skills: Mathematics - Scheme of Work
2010/2011
Observation of
card matching
and practical
activities
Q&A
Completion of
practice task
normal body temperature,
temperature of ice and boiling
water, temperature of warm sunny
day in UK
 Card matching activity – match
temperatures in °C with
temperatures of e.g. boiling water
(include error cards)
 Practical activity – learners
measure each other’s body
temperature in pairs (to nearest
labelled division)
 Practice task
10
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
19
20
Functional
maths with
time and
measures
Working with
shape and
space
Know and use common
metric measures
Read common measures
to the nearest labelled
division
Use measurements to
make conclusions
Observation of
card activity
Q&A
Observation of
group
activities
 Recap skills in using time and
measures (Smartboard)
 Card activity: put functional maths
questions about time and measures
on cards, ask learners to sort into
categories and then solve in pairs
or small groups
 Canvass results
 Recap names of 2-D and 3-D shapes
 Teach language of shapes
Know properties of
common 2-D and 3-D
shapes
Use properties of
common 2-D and 3-D
shapes to solve
practical problems and
to make conclusions
(Smartboard): side, corner, edge,
face
 Card game –shape dominoes
 Group activity – sort 2-D and 3-D
shapes into piles, identify and
tabulate properties
 Group activities – uses properties of
shapes in card problem-solving
activity
Computer
Smartboard
Card activity
Mini whiteboards
Boxes of
common shapes
and solids
Dominoes
Card problemsolving activity
Computer
Smartboard
Recognise and use
familiar measures,
including time
Know properties of
simple 2-D and 3-D
shapes
 Group practical activity: plan
21
Working with
shape and
space
Use properties of
common 2-D and 3-D
shapes to solve
practical problems and
to make conclusions
Observation of
group practical
activities
Q&A
Completion of
practice tasks
Functional Skills: Mathematics - Scheme of Work
2010/2011
seating area with rectangle tables,
positioning together and apart
 Group practical activity: have
numerous identical small boxes and
selection of large boxes, estimate
how many small boxes can fit into
each large box, check to see which
group has the closest estimate
 Practice tasks – functional maths
problem-solving with shape and
space
11
Large boxes and
smaller identical
boxes to be
packed
Mini whiteboards
Rectangular
tables in
classroom
Know properties of
simple 2-D and 3-D
shapes
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
22
Working with
information
Identify the largest and
smallest value in a
simple list
Use information in
simple lists to make
recommendations
Observation of
holiday card
activity
Q&A
 Recap extracting highest and
lowest values from string of
numbers (Smartboard)
 Holiday card activity – in groups
matches statements with lists ;
makes decision on holiday
destination based on criteria and
lists of information
Computer
Smartboard
Holiday card
activity
Mini whiteboards
Extract information
from simple lists
 Practice tasks – extracting
23
Working with
information
Extract and use
information in simple
lists to draw
conclusions and make
recommendations
Functional Skills: Mathematics - Scheme of Work
2010/2011
Observation of
practice tasks
and practical
activities
Q&A
information from lists e.g. highest
and lowest values, putting
information in order, comparing
information from two separate lists
 Practical activity – give group a
cafe price list, ask questions such
as what is the price of two coffees?
Etc.
 Practical activity – gives groups e.g.
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
12
Practice tasks
Cafe price lists
Calculators
Mini whiteboards
Catalogues
Extract information
from simple lists
Scheme of Work:
Functional Skills Mathematics: Entry Level 2
24
25
Working with
information
Revising
functional
maths
26
27
30
Q&A
Completion of
practice task
tally marks to show a collection of
different coins
 Practical activity – e.g. with bags of
different coloured sweets, ask each
group to tally different colours,
compare and make conclusion e.g.
red is the most popular colour
 Practice task – collect information
using tallies
Coins
Bags of sweets
Practice task
Mini whiteboards
Extract information
from simple lists
Sample
assessments
All
Answer test questions
in Entry Level 2
functional maths
Q&A
Completion of
sample
assessments
Revision using sample assessments
Answer test questions
in Entry Level 2
functional maths
Completion of
External
assessment
External assessment – Set 1 papers
External
assessments
All
Q&A
Individual feedback on assessment
and revision
External
assessments
All
Completion of
External
assessment
External assessment – Set 2 papers
External
assessments
All
Individual feedback on assessment
and revision
External
assessments
All
External assessment – Set 3 papers
External
assessments
All
Revising
functional
maths
Answer test questions
in Entry Level 2
functional maths
28
29
Draw tally marks
Represent information
using tally marks
Use tally marks to draw
conclusions
Observation of
practical
activities
 Teach tallies (Smartboard)
 Practical activity – in pairs draw up
Revising
functional
maths
Q&A
Answer test questions
in Entry Level 2
functional maths
Functional Skills: Mathematics - Scheme of Work
2010/2011
Completion of
External
assessment
13
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