# AN N1/L2.4

Evaluate expressions and make substitutions in given formulae in words and symbols to produce results (a) Understand that words and symbols in expressions and formulae represent variable quantities (numbers), not things (i.e. 2a + 2b cannot be explained as 2 apples and 2 bananas) (b) Understand that the contents of brackets must be worked out first (c) Understand that, when there is no operator between a number and a variable, or two variables, multiplication is implied, e.g. 2a = 2 x a; ab = a x b; 2ab = 2 x a x b (d) Understand that, when there is no operator between a number and a bracket, multiplication is implied, e.g. 2 (a + b) = 2 x (a + b)

## Magic Formulas

This is a handout for Functional Skills L1/L2 which talks about formulas, substitution and BODMAS (BIDMAS).

“Editor’s note*
It includes worked examples from past papers and useful tips and hints. Fully mapped to L2 FM and GCSE Maths 1-5

Level
L2
GCSE L1-5
Maths
FM Contextualised underpinning
FM L1.7 Follow the order of precedence of operators
FM L2.3 Evaluate expressions and make substitutions in given formulae in words and symbols
L2.12 Follow the order of precedence of operators, including indices
GCSE A1 (Algebraic notation)
GCSE A2 (Substitution)
GCSE A3 (Algebraic concepts & vocabulary)
GCSE A4 (Simplify & manipulate algebraic expressions)
GCSE A5 (Use & rearrange formulae)
AN N1/L2.4
General
Exam tips and help

## Formula 1 Functional Maths

A set of Formula 1 scenarios based on the four rules of mathematics and using formulae expressed in words and/or numbers. This resource tests students’ ability to use formulae to solve problems based on a motor racing car travelling on a race track. Some of the scenarios test the students ability to convert units to get a sensible answer. I encourage my students to estimate the answers before attempting for real! Some do, some don’t …

Level
L1
L2
GCSE L1-5
Maths
FM L1.5 Use simple formulae expressed in words for one or two-step operations
FM L2.3 Evaluate expressions and make substitutions in given formulae in words and symbols
GCSE A2 (Substitution)
AN N1/L1.11
AN N1/L2.4
Context
Sport
Motor vehicles & Transport

## Happy New Year - introduction to algebra

An introductory PPT based task to find the value of the three words in ‘Happy New Year’, given certain values for each letter. This is followed up by a set of question cards on calculations with the letters of Happy New Year and an algebra worksheet with the same given values, using BODMAS.

Level
L2
L1
Maths
AN N1/L2.4
AN N1/L1.11
Mental maths
Functional Maths - numbers and the number system

## Functional Maths L2 Formulas - multiple choice worksheet

12 very useful multiple choice, topic-based Functional Maths questions.
Ideal for assessment or revision.

Editor’s note
This is just one of a set of 10 worksheets.

Level
L2
Maths
AN N1/L2.4
Functional Maths - numbers and the number system

## Pythagoras' Theorem

This PowerPoint was used to introduce Pythagoras’ Theorem to Functional Skills college students whose main course work is to do with the Building Trades (Carpenters, Electricians). The last 4 slides therefore deal with using Pythagoras’ theorem to calculate the length of roof rafters.

Editor’s note
I realise that using Pythagoras’ theorem is beyond the scope of L2 Functional Maths Exams but this is a very useful PPT due to the vocational questions. Would also be useful for GCSE Maths.

Level
L2
Maths
AN N1/L2.4
Functional Maths - numbers and the number system
Context
Construction Carpentry Plumbing

## Reverse calculations and rearranging formulas

A power point and interactive cards to introduce the students to reversing calculations / formulas.

The animated PPT demonstrates the basics of how to rearrange formulae and use reverse calculations to self check answers.

The cards with symbols, can be used to physically rearrange the formula showing the moves of each symbol. These allow the tutor to spend some time talking the less able students through the process. Students can then use the card to complete a short worksheet.

Level
L2
Maths
AN N1/L2.4
Functional Maths - numbers and the number system

## Formulae rules poster

A set of two posters for the classroom – also useful as handouts.
Formulae (L2)
I asked a group of my learners to come up with a short and snappy set of rules for using formulae. One of the group wrote the rules in the form of a poster, from which I developed this poster.
Covers general rules for using formulae such as order of operations (BIDMAS). Plus a separate page specifically for using a formula to find the area of a circle.

Level
L2
Maths
AN N1/L2.4
MSS1/L2.8

## St George's Day area of shapes L1-L2

Three fabulous PPTs – great for St George’s day but could be used year round.
The full length one (22 slides) was written for a 2.5 hour observed session and has in-depth coverage of multiplying decimals; area of rectangles, triangles, circles and compound shapes; substitution; and a general warm-up quiz.
There are alternative shortened versions (some activities are slightly different too) for a 1 hr L1 lesson (area of rectangles) and a 1.5 hr L1-2 Lesson (no triangles).

Level
L2
L1
Maths
AN N2/L1.5 Calculate with decimals up to 2dp
AN N1/L2.4
MSS1/L2.8
AN N1/L1.11
MSS1/L2.7
MSS1/L1.9
Functional Maths - numbers and the number system
Functional Maths - measures, shape & space

## St George's Day maths L1-L2

A revision of L1 numeracy skills all themed around England. Written for St George’s Day but can be used any time of year. Great for equality and diversity. Question themes include: population of UK districts, languages spoken in London, major religions, planning a St George’s Day street party. Topics covered include calculating and converting measures, working with large numbers, representing data, ratios, fractions, percentages and substitution.

Level
L1
L2
Maths
MSS1/L2.6
MSS1/L2.5
MSS1/L1.7
MSS1/L1.6
N2/L2.10
N2/L1.11
HD1/L1.2
AN N1/L2.4
N1/L1.10
N1/L1.1
AN N1/L2.3
AN N1/L1.7
Functional Maths - numbers and the number system
Functional Maths - measures, shape & space
Functional Maths - handling information and data

## Profit & Loss / Costing Functional Maths workbooks for catering students

Two workbooks, both with an accompanying PPT. Directly related, in terms of theory, to the VRQ qualification, the Foundation Diploma and also ABC Level 1 Catering.

Profit and loss workbook covers gross profit, net profit, percent gross profit and calculating selling prices of a dish.

[img_assist|nid=4265|title=|desc=|link=popup|align=left|width=47|height=100]*How do I cost a dish?* workbook covers costing individual ingredients and entire dish along with extension activities.

Level
L2
L1
Maths
N2/L2.9
N2/L2.10
N2/L1.11
AN N1/L2.4
AN MSS1/L1.1 Add, subtract, multiply & divide sums of money and record
AN N1/L1.11
N2/L2.7
N2/L1.10
Functional Maths - numbers and the number system
Context
Catering Food Nutrition