FM L1.17 Work with simple ratio & direct proportions

L1.17 Work with simple ratio and direct proportions

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

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

London Marathon is a multi-level graduated Functional Maths workbook for Entry Level 1 to Level 2. A front page overview allows the teacher or learner to decide which levels and topics to work on.  The emphasis throughout is on problem solving and showing working out. The workbook uses information from the 2022 London Marathon web page and event guide.  

Level
Entry Level 1
Entry Level 2
Entry Level 3
Level 1
Level 2
Maths
FM Simple one step problem(s)
FM Straightforward problem(s) with more than 1 step
FM E1.2 Use whole numbers to count up to 20 items including zero
FM E1.6 Read 12 hour digital & analogue clocks in hours
FM E1.7 Know the number of days in a week, months, & seasons in a year. Name & sequence them.
FM E1.11 Read numerical information from lists
FM E2.5 Add & subtract 2-digit numbers
FM E2.13 Read & record time in common date formats, & read time displayed on analogue clocks in hours, half hours & quarter hours, & understand hours from a 24-hour digital clock
FM E2.22 Extract information from lists, tables, diagrams, bar charts
FM E3.13 Read time from analogue & 24 hour digital clocks in hours & minutes
FM E3.20 Use appropriate positional vocabulary to describe position & direction inc.luding eight compass points and including full/half/quarter turns
FM L1.17 Work with simple ratio & direct proportions
FM L1.26 Use angles when describing position & direction, & measure angles in degrees
FM L2.14 Convert between metric & imperial units of length, weight & capacity using a) a conversion factor & b) a conversion graph
Context
Sport

Best buy and proportion questions - loosely based on setting up a nursery.

I have used this with my Functional Skills Maths and Employability group. We carried out a few examples as a group, left them on the board and I then gave them this worksheet to complete. I sat with the lower attainers and hand wrote in scaffolded examples whilst talking to them about it. 

I have also used the same lesson plan for my GCSE resits as a revision task.

Editor's note

Level
Level 1
Level 2
GCSE L1-5
Maths
FM L1.17 Work with simple ratio & direct proportions
FM L2.11 Understand & calculate using ratios, direct proportion & inverse proportion
GCSE R10 (Direct & indirect proportion)
Context
Health, Social care, Early years

This resource covers all the Functional Skills content descriptors relating to ratio and proportion. It was written with mixed L1-L2 classes in mind. I wanted to experiment with inverse proportion questions (a new topic in Reformed Functional Maths) but wanted to build up to them gradually. The questions are contextualised and problem based, with no underpinning taught, so learners will need an introduction to ratios (or a refresher) beforehand. Ratios, direct and inverse proportion are covered.

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 L1.17 Work with simple ratio & direct proportions
FM L2.11 Understand & calculate using ratios, direct proportion & inverse proportion
Context
Catering Food Nutrition

Devised for L1 as a first lesson for ratio utilising practical applications for ratio understanding. Please print the last slide as a worksheet to accompany the PPT.

Editor's notes

Introductory example using a KitKat bar, followed by other everyday applications including screen wash, hair tint and paints.  Also (very nicely) covers equality & diversity with discussion about the proportion of White British players in the 2018 England squad.

Level
Level 1
Maths
FM Contextualised underpinning
FM L1.17 Work with simple ratio & direct proportions
AN N1/L1.7

A colourful card matching task in which students interpret practical scenarios involving proportional relationships in terms of ratios and the total numbers of equal parts involved in them.

In pairs, they move the cards/ paper slips around and discuss how to match four ratios (white) with the four statements about parts (blue) and the four practical situations and actual amounts which correspond with them (yellow).

Level
Level 1
Level 2
Maths
FM Contextualised underpinning
FM L1.17 Work with simple ratio & direct proportions
FM L2.11 Understand & calculate using ratios, direct proportion & inverse proportion
AN N1/L1.7
AN N1/L2.3

Welsh Cakes recipe ratios great for St David’s Day or any time of year!

Level
Level 1
Maths
FM Straightforward problem(s) with more than 1 step
FM L1.17 Work with simple ratio & direct proportions
AN N1/L1.7
Context
Catering Food Nutrition