FM Complex multi-step problem(s)

A complex problem requires requires a multi-step process, typically requiring planning and working through at least two connected steps or processes. Individual problems are based on a combination of the knowledge and/or skills from the mathematical content areas (MCA). At Level 2 it is expected that the student will be able to address individual problems some of which draw upon a combination of all three MCA (number, measures, data) and require students to make connections between those content areas. The context of individual problems at L2 will require interpretation and analysis in order for the student to be able independently to identify and carry out an appropriate mathematical process or processes.

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
L1
L2
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 and charts and create frequency tables
FM L2.1 Read, write, order and compare positive and negative numbers of any size
FM L2.4 Identify and know the equivalence between fractions, decimals and percentages
FM L2.6 Calculate percentage change (any size increase and decrease), and original value after percentage change
L2.13 Calculate amounts of money, compound interest, percentage increases, decreases and discounts including tax and simple budgeting
GCSE N2
Context
Art Film Media Music TV

This is a project based on Benford's law. I had this idea after watching the Numberphile series on YouTube. This is a project based activity that involves many skills including working with large numbers, using percentages, representing data and probability.

The investigation is introduced to learners using the PPT (and optional YouTube links). Learners then split into four groups - each is given a random set of  share prices [see Excel file].  Each group investigates the occurrence of numbers starting with each digit from 1 to 9.

Editor's note

Level
L1
L2
Maths
FM Complex multi-step problem(s)
FM L1.1 Read, write, order and compare large numbers (up to one million)
FM L1.14 Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof
L1.15 Estimate answers to calculations using fractions and decimals
L1.27 Represent discrete data in tables, diagrams and charts including pie charts, bar charts and line graphs
L1.28 Group discrete data and represent grouped data graphically
L1.30 Understand probability on a scale from 0 (impossible) to 1 (certain) and use probabilities to compare the likelihood of events
L1.31 Use equally likely outcomes to find the probabilities of simple events and express them as fractions
Context
Business & Money management

A challenging set of L1-2 maths questions that celebrate 50 years since the first Moon landing. Covers new reformed content such as compound measures and 3 figure bearings. Plus an introductory PPT with background information and pop up answers.

Editor's note

Fully mapped to the new reformed Functional Maths content.  The answer sheet, which includes detailed working out and marking guidance, is only available to site contributors. Please see details within the resource.

 

Level
L1
L2
Maths
FM Straightforward problem(s) with more than 1 step
FM Complex multi-step problem(s)
FM L1.1 Read, write, order and compare large numbers (up to one million)
L2.2 Carry out calculations with numbers up to one million including strategies to check answers including estimation and approximation
FM E3.14 Use and compare measures of length, capacity, weight and temperature using metric or imperial units to the nearest labelled or unlabelled division
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
L1.26 Use angles when describing position and direction, and measure angles in degrees
L2.15 Calculate using compound measures including speed, density and rates of pay
FM L1.29 Find the mean and range of a set of quantities
Context
Science, Nature & Weather
History

This revision aid for L1/L2 (mainly L2) Pearson Edexcel Functional Skills maths gives a side-by-side comparison of perimeter, area and volume, the sort of units that would be involved with each and a worked Functional Skills example of each with a PAV mnemonic for remembering which is which. I have also looked through the last few years of Pearson Edexcel FS for the sorts of questions that require each one. 
Note: All images from Pixabay, so do not need crediting.

Editor's note

Level
L2
GCSE L1-5
Maths
FM Complex multi-step problem(s)
FM L2.3 Evaluate expressions and make substitutions in given formulae in words and symbols
FM L2.16 Calculate perimeters and areas of 2-D shapes including triangles and circles and composite shapes including non-rectangular shapes (formulae given except for triangles and circles)
FM L2.17 Use formulae to find volumes and surface areas of 3-D shapes including cylinders (formulae to be given for 3-D shapes other than cylinders)
GCSE G14 (use units of measure)
GCSE G16 (area, volume)
GCSE G17 (circles, perimeter)
Context
Catering Food Nutrition

I wrote this to add to Timings in a Salon by Carrie Bray (see link left) as I needed to encourage my higher level students in the same area.

I started the session by giving students terminology which they had to define, then work out how much it was worth if a=1p b=2p etc. (see PPT).

I used then used tasks to recap on 24 hour and analogue time next then used the attached worksheets alongside Carrie's worksheet.

I then provided a Tarsia puzzle at the end to recap on time.

Editor's notes

Level
E3
L1
L2
Maths
FM Straightforward problem(s) with more than 1 step
FM Complex multi-step problem(s)
FM E3.13 Read time from analogue and 24 hour digital clocks in hours and minutes
FM E3.12 Read, measure and record time using am and pm
Context
Hairdressing & Beauty therapy

Level 2 Time revision. A PPT that takes E3-L2 learners step by step through an Edexcel L2 2017 exam question about a diving competition.
The exam question is broken down into three separate tasks, each with extra extension questions. 

In addition each task has a suggested time limit which encourages learners to manage their own time in exams. Can also be printed as a worksheet: select slides 4-9 and print 1 slide per page in landscape, fit-to-page mode.

Editor's note

Level
E3
L1
L2
Maths
FM Complex multi-step problem(s)
FM E3.12 Read, measure and record time using am and pm
FM L1.20 Convert between units of length, weight, capacity, money and time, in the same system
AN MSS1/E3.3
AN MSS1/L1.3