# 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

This exercise can be used in several different ways. The cost of living crisis has hit everyone and this one pot pasta dish can save on gas/electric by making everything in one pan. The main idea is to cost the ingredients as it is, but then think of alternatives to the original recipe. Then if you double the recipe up, how much are you saving by buying 500g of mince? How much are you saving by buying a 4 pack tin of tomatoes? Look at the different prices of dried pasta. Look at how much frozen mince is. This is about converting g - kg too. It uses dividing and multiplying.

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.

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**

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.

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.

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).