FM E3.21 Extract information from lists, tables, diagrams, charts; create frequency tables

FM E3.21 Extract information from lists, tables, diagrams and charts and create frequency tables

Subject content [reformed] functional skills: Mathematics (DfE, Feb 2018): 

https://www.gov.uk/government/publications/functional-skills-subject-content-mathematics

NEW 24/2/22  answer sheet now also  available - visit our ANSWER SHEETS page for more information.

A follow-on Valentine's Day resource from the E1-E3 worksheet of the same name. It continues the general problem solving of finding suitable meal deals for various couples and calculating how much they save by purchasing a Valentine's meal deal. For L2 learners it also delves into compound measures with challenging multiple questions on on unit prices (e.g. £/kg, £/litre).

Level
Entry Level 3
Level 1
Level 2
Maths
FM Straightforward problem(s) with more than 1 step
FM Complex multi-step problem(s)
FM E3.10 Calculate with money using decimal notation & express money correctly in writing in pounds and pence
FM E3.21 Extract information from lists, tables, diagrams, charts; create frequency tables
FM E3.23 Organise & represent information in appropriate ways inc. tables, diagrams, simple line graphs & bar charts
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
FM L2.15 Calculate using compound measures inc. speed, density & rates of pay
Context
Retail Hospitality Customer service
Catering Food Nutrition

17/1/22 Minor update - page number signposting at top of pages 5&6 corrected.
 highly functional, carefully graduated set of questions based on current (Dec 2021) Royal Mail information  about parcel and letter sizes, and first and second class mail prices. Written just before Christmas but can be used all year round. Main topics are: extracting information from tables, converting metric measures, formulae expressed as words, and working with money and decimals.

Author's note

Level
Entry Level 3
Level 1
Maths
FM Simple one step problem(s)
FM Straightforward problem(s) with more than 1 step
FM Contextualised underpinning
FM E3.1 Count, read, write, order & compare numbers up to 1000
FM L1.5 Use simple formulae expressed in words for one or two-step operations
FM L1.11 Add, subtract, multiply & divide decimals up to 2 decimal places
FM E3.10 Calculate with money using decimal notation & express money correctly in writing in pounds and pence
FM E3.15 Compare metric measures of length including millimetres, centimetres, metres & kilometres
FM E3.16 Compare measures of weight including grams & kilograms
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
FM E3.21 Extract information from lists, tables, diagrams, charts; create frequency tables
Context
Independent living

A good way for learners to understand the importance of using reverse calculations to check an answer to a previous question.  These check questions are appearing more and more in functional skills exams. I hope you find it as useful as I and my learners do.

Editor's note

Carefully differentiated practice in this important skill. All four operations (+, -, x, ÷) are covered. A set of 15 practical problems. An important and useful resource: so many learners lose marks by omitting checks to their work. No answer sheet. An E2-3 version is also available.

Level
Entry Level 3
Level 1
Maths
FM Simple one step problem(s)
FM Straightforward problem(s) with more than 1 step
FM E3.2 Add & subtract 3-digit whole numbers
FM E3.3 Divide 3-digit numbers by 1- & 2-digit numbers, express remainders
FM E3.4 Multiply 2-digit numbers by 1- & 2-digit numbers
FM E3.10 Calculate with money using decimal notation & express money correctly in writing in pounds and pence
FM E3.21 Extract information from lists, tables, diagrams, charts; create frequency tables
FM L1.2 Recognise and use positive and negative numbers
FM L1.4 Use multiplication facts and make connections with division facts
FM L1.11 Add, subtract, multiply & divide decimals up to 2 decimal places

A good way for learners to understand the importance of using reverse calculations to check an answer to a previous question.  These check questions are appearing more and more in functional skills exams. I hope you find it as useful as  I and my learners do.

Editor's note

Level
Entry Level 2
Entry Level 3
Maths
FM Simple one step problem(s)
FM Straightforward problem(s) with more than 1 step
FM E2.5 Add & subtract 2-digit numbers
FM E3.2 Add & subtract 3-digit whole numbers
FM E2.6 Times tables 0x0 to 12x12
FM E2.8 Divide 2-digit numbers by 1-digit numbers, express remainders
FM E3.3 Divide 3-digit numbers by 1- & 2-digit numbers, express remainders
FM E3.4 Multiply 2-digit numbers by 1- & 2-digit numbers
FM E2.12 Calculate money with pence up to £1 & in whole £s of multiple items, use correct symbols (£ or p)
FM E3.10 Calculate with money using decimal notation & express money correctly in writing in pounds and pence
FM E2.22 Extract information from lists, tables, diagrams, bar charts
FM E3.21 Extract information from lists, tables, diagrams, charts; create frequency tables

Challenging set of  questions based on an infographic from a recent TV Licensing annual review.  Aimed at L1-2 but a few questions are Entry 2/3 - there are also  a couple of  "stretch questions" making a bridge to GCSE. Two main topics are covered: working with very large numbers and percentages. Extracting data, equivalents and ordering decimals are also touched upon.

Level
Level 1
Level 2
GCSE L1-5
Maths
FM Straightforward problem(s) with more than 1 step
FM Complex multi-step problem(s)
FM E3.21 Extract information from lists, tables, diagrams, charts; create frequency tables
FM L2.1 Read, write, order & compare positive & negative numbers of any size
FM L2.4 Identify & know the equivalence between fractions, decimals & percentages
FM L2.6 Calculate percentage change (any size increase & decrease), & original value after % change
FM L2.13 Calculate amounts of money, compound interest, percentage increases, decreases & discounts inc. tax & budgeting
GCSE N2 (Apply the four operations)
Context
Art Film Media Music Radio TV