Functional Skills-Level 2

Functional Skills-Level 2

Functional Skills are relevant to the workplace and "provide a foundation for progression into employment or further technical education and develop skills for everyday life". Ofqual, 2019

Learning aims and outcomes

To demonstrate mathematical skills and the ability to apply these, through appropriate reasoning and decision making, to solve realistic problems of increasing complexity; and
Introduce students to new areas of life and work so that they are exposed to concepts and problems which, while not of immediate concern, may be of value in later life; and
Enable students to develop an appreciation of the role played by mathematics in the world of work and in life generally.

Subject Content: Level 2

Using numbers and the number system – whole numbers, fractions, decimals and percentages

Read, write, order and compare positive and negative numbers of any size
Carry out calculations with numbers up to one million including strategies to check answers including estimation and approximation
Evaluate expressions and make substitutions in given formulae in words and symbols
Identify and know the equivalence between fractions, decimals and percentages
Work out percentages of amounts and express one amount as a percentage of another
Calculate percentage change (any size increase and decrease), and original value after percentage change
Order, add, subtract and compare amounts or quantities using proper and improper fractions and mixed numbers
Express one number as a fraction of another
Order, approximate and compare decimals
Add, subtract, multiply and divide decimals up to three decimal places
Understand and calculate using ratios, direct proportion and inverse proportion
Follow the order of precedence of operators, including indices

Measures, shape and space

Calculate amounts of money, compound interest, percentage increases, decreases and discounts including tax and simple budgeting
Convert between metric and imperial units of length, weight and capacity using a) a conversion factor and b) a conversion graph
Calculate using compound measures including speed, density and rates of pay
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)
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)
Calculate actual dimensions from scale drawings and create a scale diagram given actual measurements
Use coordinates in 2-D, positive and negative, to specify the positions of points
Understand and use common 2-D representations of 3-D objects
Draw 3-D shapes to include plans and elevations
Calculate values of angles and/or coordinates with 2-D and 3-D shapes

Handling information and data

Calculate the median and mode of a set of quantities
Estimate the mean of a grouped frequency distribution from discrete data
Use the mean, median, mode and range to compare two sets of data
Work out the probability of combined events including the use of diagrams and tables, including two-way tables
Express probabilities as fractions, decimals and percentages
Draw and interpret scatter diagrams and recognise positive and negative correlation

Solving mathematical problems and decision making

Read, understand, and use mathematical information and mathematical terms;
Address individual problems as described above;
Use knowledge and understanding to a required level of accuracy;
Identify suitable operations and calculations to generate results;
Analyse and interpret answers in the context of the original problem;
Check the sense and reasonableness of answers; and
Present and explain results clearly and accurately demonstrating reasoning to support the process and show consistency with the evidence presented.

Testimonials
Some of the numerous testimonials I have received for my training are provided below:

"The course and the tutor were great." [International Finance]
"It is a complicated subject and I thought Permjit was really good, explained well when we got lost and involved the class well also."
“The students clearly have fun in the course...I found the session relaxed, stimulating but also challenging...” [tutor & course assessor]
"I got an insight to the finance market...the tutor is very very good." [International Finance]
“Course and tutor very good!”
“The students clearly have fun in the course...I found the session relaxed, stimulating but also challenging...”
“The course was very interesting. I have learnt a lot about International Finance. I will recommend it to anybody that wants to learn about international finance.”
[Trainer] very nice and clear.
"very interesting and well prepared".
"very well structured"
"I think he is very efficient, talented knowledgeable tutor...It is very helpful course to develop knowledge, Tutor is 100% dedicated to teach students [foreign student]." [International Finance]
"One of the best teacher in my life. I can remember his help through my whole life. All the best wishes to Sir..One of the best course offer in my study life. I am very happy with that...Wonderful teacher and his valuable teaching. god luck. [foreign student]" [International Finance]
"The presentation was clear and paid attention to detail on multiple topics. Use of equipment helped to explain the topic...This is a great course if you want an understanding of business and finance. The structure is concise and material is well selected and presented...I think the course is clear and all the topics are well defined. I have learnt a lot of new information that I could see as applicable in business...The tutor has delivered every class well. I also think that there was adequate time for student participation where I could thorougly understand the topic" [International Finance course]
"The tutor's knowledge is perfect and he managed to transfer everything well to the students" [International Finance]
"It is a complicated subject and I thought Permjit was really good, explained well when we got lost and involved the class well also." [International Finance].
"I understood more about risks,... and how companies hedge their risks" [International Finance Dec 2011]
"It is an interesting program with updated topics and information" [International Finance Dec 2011]
"The tutor really put the effort to explain students what they find difficult to understand. he was very clerar in his speech and explanations. I was really impressed by his teaching skills." (Bank Financial Management Jan 2012)
"The tutor has given high quality lectures and explanations. Not everyone has great teaching ability and therefore I would definitely recommend the course. I learnt really a lot!" (Bank Financial Management Jan 2012)
"very good introduction to the City-covered lots of topics from basic level, no prior knowledge assumed" [Introduction to the City & financial services Dec 2011]
"It was a really useful course and a great overview of the city, so thanks again for all your help" [Introduction to the City & financial services Dec 2011]
"It's been a great learning experience and understanding in a short course as the tutor helped us to learn the fact and basic of course easily and how it is related in practical use" [Bank financial management Dec 2011]
"Mr Singh doesnt [sic] do small talk with students on arrival or during the break, which I think hinders the class jelling [sic]. Icy silence reigns in the breaks. However, from a teaching point of veiew [sic]- and thats [sic] what matters-i thought he was excellent." "Very informative. But not very social." Both from: Bank Financial Management course - Oct 2014
"Beyond my expectations. I learned a huge amount of very useful information." Bank Fin Mgmt 2015
"The course is suitable for all levels and covers all the topics in the syllabus effectively." Introdn to City 2015
" I would like to thank you for the course, it was very informative and I believe it has equipped all of us now with the necessary tools to read further on the topics we touched with ease, and be part of a world that initially seemed daunting. " [Introduction to the City & financial services course Mar 2015]

"very good presentation" webinar 28 Jul 2016
" I just want to say the Lecture... was really helpful and I understood securitisation in a better way."
“Excellent use of Powerpoint. [the Tutor] took a great deal of care to ensure that he explained concepts...He explained jargon well”
“Good, in tune, keen, comprehensive. Answers and invites questions”
"I liked the trainer's style. Powerpoints and discussion is a good way of teaching a topic like this."
He is very well at teaching. Also enthusiastic"
"He has a completely [sic] knowledge about the content of the course. The explanations are good, he encourages people to participate in class"
"the trainer gave us a lot of examples and explanations"
"Permjit spent a huge amount of time answering questions, which was great and whilst evenings could feel slightly disoriented it worked really well with such an inquisitive group...Good grounding in a complex subject...Competent tutor who was friendly and of interest...Have enjoyed the course...Gone from no knowledge of the subject to having a strong grounding, which is what I wanted" [Introduction to the City & Financial Services]
"The topics addressed are interesting and helped me to expand my knowledge" [International Finance Dec 2011]
"It's a good course to improve your skills in finance" [International Finance Dec 2011]
"The course tutor was very good, he tried to give as much as possible during study however, as I mentioned...it's not enough time to get full idea about such big topic" (Bank Financial Management Jan 2012)
"I would recommend this course to my friends, it is a great way to learn about banking industry work in the UK" (Bank Financial Management Jan 2012)
"He is a great tutor for this course, very helpful person. He is one of the great tutor I ever had" (Bank Financial Management Jan 2012)
"Had a great time. A course really worth the time and money. I enjoyed learning, and all the presentations were helpful by the Tutor" (Bank Financial Management Jan 2012)
"The course covers the basic stuff about banking. It gives a taste about some of the risks banks face and what instruments it uses to prevent. If someone wants to learn modern banking, it is indeed a great course to start" (Bank Financial Management Jan 2012)
"Course tutor Dr Permjit Singh was a good tutor. He has vast knowledge about the field. The way he discussed the topics and the diagrams and illustrations used in the class were really clear and helpful. I had an overall amazing learning experience."(Bank Financial Management Jan 2012)
"Interesting course, a lot of course content. Useful information and tips" (Bank Financial Management Jan 2012)
"Excellent course tutor, couldn't have asked for more. I wish there's an extension to this course or a course that enables students to study banking more in depth. Course tutor is excellent in summarising very complex concepts, putting jargon in lay man's terms, and making ideas much easier for students...to understand. I genuinely wish and hope that this course tutor will continue to teach this course. I also prefer a longer course duration to learn more about banking, money and finacial sector." [Bank financial management Dec 2011]
"Good structured course which allows you to understand the basic financial terms and fill the gap in finance." [Bank financial management Dec 2011]
"Very interesting and informative." [Bank financial management Dec 2011]
"The course lucture[r] Dr Singh was a brilliant" [Bank Fin Mgmt Jun 2014]
" great experience. very pleased." [Bank Fin Mgmt Jun 2014]
'The course gives you good basic grounding in concepts used in finance' [Intro to the City, Oct 2015]
'Great experience for workers who don't have enough time to attend a Master. Thanks!' [Bank Fin Mgmt, Oct 2015]
"The variety and amount of content was great" Finance for non-financial managers Apr 2017
"I liked the concise nature of the course" Finance for non-financial managers Apr 2017
""Dear Dr Singh,...it has been a pleasure to attend the International Finance course." International Finance, Jun 2017