Mathematics in hair and beauty studies principal learning There are opportunities to develop mathematics to support and enhance the business and scientific aspects of the hair and beauty studies principal learning. The extent of these increases through the levels. Levels 1 and 2 at key stage 4 The mathematics featured at levels 1 and 2 is to be found within the key stage 4 programme of study. This sector-related mathematics partially covers the programme of study. Key stage 4 learners will, in any case, follow the statutory programme of study. Level 1 In exploring the hair and beauty sector, learners have the chance to understand and handle large numbers, ratio, proportion and simple percentages (Level 1 unit 1). Carrying out and presenting a survey about client satisfaction, they work with data and construct basic diagrammatic representations. As they begin to practise specific hair and beauty skills, they are likely to need to use estimation and checking (Level 1 unit 3). Level 2 Again, exploration of the hair and beauty sector enables learners to work with large numbers, ratio, proportion, and percentages (Level 2 unit 2). The unit The science of hair and beauty requires them to measure, record analyse and present the results of the tests they carry out (Level 2 unit 3). Salon business systems and processes in hair and beauty enables the learner to practise numeracy skills in scheduling, pricing, stock control and performance analysis (Level 2 unit 7). Promoting and selling hair and beauty products and services by professional recommendation encourages them to work with proportion and percentages in formulating discounts and special offers (Level 2 unit 6). The Qualifications and Curriculum Development Agency is the non-regulatory part of the Qualification and Curriculum Authority QCA 2010-1 -
Teaching implications for levels 1 and 2 The best way to support learners in developing mathematics skills within the principal learning is to ensure that hair and beauty specialists and mathematics specialists who are teaching Diploma learners can meet frequently to plan learning opportunities together and develop a common terminology. Information, advice and guidance supporting levels 1 and 2 In combination with GCSE mathematics, which the majority of learners will be studying, the content of level 1 is sufficient to support progression to the level 2 Diploma in hair and beauty studies. Level 2 Diploma learners will find that in most cases attainment of GCSE mathematics will provide a sound basis for progression to the level 3 Diploma in hair and beauty studies. Level 3 Level 3 requires learners to engage with the mathematics of business and finance within the hair and beauty sector. It requires gathering, analysis and interpretation of data about the impact of location (Level 3 unit 1), about the size and structure of businesses in the spa industry (Level 3 unit 6). about the effect of management systems on performance in the sector (Level 3 unit 4) and to present all this information in various forms. By carrying out real-life tasks (Level 3 unit 2), and to present all this information in various forms. By carrying out real-life tasks (Level 3 unit 7). Cosmetic science (Level 3 unit 8) requires the use of units used in formulae, accurate measurement and reading of scales. It presents opportunities to use equations and/or graphs to extrapolate trends and forecast, and to interpret statistics. There are opportunities in Product research and design (Level 3 unit 3) and in Exploring media and image within hair and beauty (Level 3 unit 5) to develop a higher level of mathematics through the introduction of more advanced data analysis and data representation techniques. All this can be derived from the key stage 4 programme of study. Teaching implications for level 3 Development of the full potential of business, finance and mathematics around formulation and testing will probably require input from business and mathematics specialists. It is important that hair and beauty specialists and other contributors who will teach Diploma learners have regular opportunities to plan and work together, and that they establish a common terminology. Information, advice and guidance supporting level 3 Learners planning to progress to a level 3 apprenticeship should be advised that such level 3 courses/programmes require a GCSE grade C. The Qualifications and Curriculum Development Agency is the non-regulatory part of the Qualification and Curriculum Authority QCA 2010-2 -
Level 1 unit 1 Introducing the hair and beauty sector Area: Be able to find and present information on the hair and beauty sector, the industries within and the services they provide. Mathematical knowledge and understanding: Calculating; Understanding and handling numbers, including large number notation; Ratio, proportion and simple percentages; Statistics: the handling data cycle; Statistical diagrams: (comparative) bar, pie and other charts, line graphs; Measures of central tendency (and spread). Mathematical skills: Representing (selecting mathematical information, methods, tools and models to use); Analysing (processing the data); Interpreting and evaluating; Communicating (representing the distribution of the sector by region or gathering and interpreting information about the size, scope and development of the sector). Overlap with key stage 4: Number and algebra; Statistics: the handling data cycle Supportive prior learning: Key stage 3 Number and algebra; Statistics: the handling data cycle. Level 1 unit 3 Introducing hair styling Area: Be able to use mathematics in safe working practices and in selecting suitable products. Mathematical knowledge and understanding: Calculating; Understanding and handling numbers; Estimation and checking. Mathematical skills: Representing. Overlap with key stage 4: Number and algebra. Supportive prior learning: Key stage 3 Number and algebra. Level 2 unit 2 The world of hair and beauty Area: Be able to interpret a range of information about the hair and beauty sector, the global environment and the businesses that operate within it. Mathematical knowledge and understanding: Understanding and handling numbers, including large number notation; Ratio, proportion and simple percentages; Statistical diagrams: (comparative) bar, pie and other charts, line graphs. Mathematical skills: Analysing (processing data); Interpreting and evaluating; (making sense of someone else s findings and judge their value in the light of the evidence they present); Communicating (using a range of forms to communicate findings to different audiences) eg when interpreting diagrammatic representations, percentages and so on in connection with size and structure of businesses, supply chains, economic and demographic factors. Overlap with key stage 4: Number and algebra; Statistics: the handling data cycle. Not usually covered in key stage 4: Learners may not encounter understanding trends at key stage 4. Supportive prior learning: Key stage 3 Number and algebra; Statistics: the handling data cycle. The Qualifications and Curriculum Development Agency is the non-regulatory part of the Qualification and Curriculum Authority QCA 2010-3 -
Level 2 unit 3 The science of hair and beauty conduct a selected range of common testing procedures, analyse and record test results and draw conclusions work with numerical values and units used in the sector, for example ph values. Mathematical knowledge and understanding: Real numbers including different representations; Upper and lower bounds; Ratio, proportion and scaling; Conversions between measures; Algebraic and graphical methods. Mathematical skills: Representing (specifying the problem and planning, collecting data, displaying graphically); Analysing (processing the data); Interpreting and evaluating (the results of analysis); Communicating (presenting findings using accurate graphs, algebraic formulae). Overlap with key stage 4: Number and algebra; Statistics: the handling data cycle. Not usually covered in key stage 4: Learners will not have worked with numerical values and units used in the hair and beauty sector, for example ph values. Supportive prior learning: Key stage 3 Number and algebra; Statistics: the handling data cycle. Level 2 unit 7 Salon business systems and processes understand the key aspects of business systems and processes used in the hair and beauty sector consider the impact that the size and type of business has on the choice of business system, eg number of employees, stock checks, performance analysis. Mathematical knowledge and understanding: Understanding and handling numbers (eg pricing structures, how costs of services are calculated); Ratio, proportion, fractions, decimals and percentages (eg in the context of money, percentage increase and decrease, VAT etc). Mathematical skills: Representing (selecting mathematical information and methods to use); Analysing and processing data (using appropriate mathematical procedures); Interpreting and evaluating; Communicating. Overlap with key stage 4: Number and algebra. Not usually covered in key stage 4: Learners will not have encountered profit and loss accounting Supportive prior learning: Key stage 3 Number and algebra. The Qualifications and Curriculum Development Agency is the non-regulatory part of the Qualification and Curriculum Authority QCA 2010-4 -
Level 2 unit 6 Promoting and selling hair and beauty products and services by professional recommendation understand the role and importance of selling and promotion activities in achieving business success (eg considering the main factors that influence the decision to buy additional products such as special offers, discounts, loyalty points, cards etc) use basic accounting principles of profit and loss. Mathematical knowledge and understanding: Understanding and handling numbers; Ratio, proportion, fractions, decimals and percentages (including percentage increase and decrease); Statistics (seasonal sales). Mathematical skills: Representing (selecting mathematical information and methods to use); Analysing (using appropriate mathematical procedures); Interpreting and evaluating (comparing outcomes of different promotions); Communicating Overlap with key stage 4: Number and algebra; Statistics. Not usually covered in key stage 4: Learners will not have encountered profit and loss accounting. Supportive prior learning: Key stage 3 Number and algebra; Statistics. Level 3 unit 1 Business location and design for hair and beauty source, research, analyse and accurately present the results of salon location, design and business viability assessment activities in a way that aids decision-making make informed decisions based on the outcomes of research. Mathematical knowledge and understanding: Complex calculations involving percentages in contexts such as interest, discounts etc to make effective comparisons; Planning scale drawings, measuring and drawing to scale. Mathematical skills: Representing; Analysing; Interpreting and evaluating, taking into account identified business needs; Communicating (in a range of formats, including numerical and graphical). Overlap with A level and other qualifications: GCSE mathematics; Intermediate Intermediate level FSMQ financial calculations; Intermediate level FSMQ shape and space. Supportive prior learning: Key stage 4 Number and algebra: Geometry and measures. The Qualifications and Curriculum Development Agency is the non-regulatory part of the Qualification and Curriculum Authority QCA 2010-5 -
Level 3 unit 6 Exploring the world of spas Area: Be able to interpret and critically evaluate information, including data about business size, structure type and purpose of business and about the economic, environmental, lifestyle and health background to the spa industry. Mathematical knowledge and understanding: Understanding percentages and handling large numbers; Collecting data; Constructing and interpreting diagrammatic representations; Measures of central tendency and spread; An understanding of trends; ICT spreadsheets to structure and present information. Mathematical skills: Representing (selecting mathematical information, methods, tools and models to use); Analysing (processing the data); Interpreting and evaluating; Communicating. Overlap with A level and other qualifications: : GCSE mathematics; GCSE statistics; Intermediate level FSMQ financial calculations; Intermediate level FSMQ data handling. Supportive prior learning: Key stage 4 Number; Statistics: the handling data cycle. Level 3 unit 4 Exploring business management for hair and beauty analyse and evaluate information and other factors contributing to business success in a hair and/or beauty business environment present the findings accurately in a range of media. Mathematical knowledge and understanding: Understanding percentages and handling large numbers; Ratio, proportion and simple percentages; Constructing and interpreting diagrammatic representations â a basic understanding of trends; ICT spreadsheets for business management. Mathematical skills: Representing (selecting mathematical information, methods, tools and models to use, collecting data); Analysing (processing the data); Interpreting and evaluating; Communicating (presenting findings). Overlap with A level and other qualifications: GCSE mathematics; GCSE statistics; Intermediate level FSMQ data handling; Intermediate level FSMQ financial calculations. Supportive prior learning: At key stage 4 learners may not have been required to understand trends. The Qualifications and Curriculum Development Agency is the non-regulatory part of the Qualification and Curriculum Authority QCA 2010-6 -
Level 3 unit 2 Event management for hair and beauty collect, analyse and evaluate types of promotion and promotional events, including details to support plan and maintain a budget for an event negotiate resources for the event collect, analyse and interpret information to evaluate the effectiveness of the event. Mathematical knowledge and understanding: Understanding and handling numbers; Ratio, proportion, fractions, decimals and percentages (eg in the context of money, maintenance of budget, such as resources and contingencies, percentage increase and decrease, VAT); Statistics: the handling data cycle; Statistics (evaluating the effectiveness of the event); Statistical diagrams: (comparative) bar, pie and other charts, line graphs. Mathematical skills: Representing; Analysing; Communicating. Overlap with A level and other qualifications: GCSE statistics; Intermediate level FSMQ data handling. Supportive prior learning: Key stage 4 Number and algebra; Statistics: the handling data cycle. Not usually covered in key stage 4: At key stage 4 learners may not have worked with financial and other numerical data in the planning and evaluation of an event. The Qualifications and Curriculum Development Agency is the non-regulatory part of the Qualification and Curriculum Authority QCA 2010-7 -
Level 3 unit 7 Business enterprise, planning and finance within hair and beauty operate day-to-day bookkeeping and budgeting processes gather, interpret and analyse data as part of the business-planning process, using this to make informed planning decisions price services and calculate break-even points structure and present financial and business planning information suitable for different audiences. Mathematical knowledge and understanding: Profit and loss accounting; Percentages as applied to: mark-up sales analysis VAT discounts mark-up sales analysis credit charges simple and compound interest and APR. Time measurements as applied to health and safety; Weight, length, area and volume; Statistics: simple probability as applied to levels of risk. Mathematical skills: Representing (selecting mathematical information, methods, tools and models to use); Analysing (processing the data); Interpreting and evaluating; Communicating (presenting findings). Overlap with A level and other qualifications: GCSE mathematics; GCSE statistics; Intermediate level FSMQ financial calculations; Intermediate level FSMQ data handling. Supportive prior learning: Key stage 4 Number and algebra; Statistics: the handling data cycle. Not usually covered in key stage 4: At key stage 4 learners may not have encountered negative numbers in terms of credit and debit, profit and loss in accounting and APR and other business applications in this topic. The Qualifications and Curriculum Development Agency is the non-regulatory part of the Qualification and Curriculum Authority QCA 2010-8 -
Level 3 unit 8 Cosmetic science Area: Be able to understand and use the mathematics around the use of formulae and conducting tests and trials. Mathematical knowledge and understanding: The use of formulae; Use of proportion in formulae; Measuring, reading scales and the use of units, volume and flow charts; Accurate measurement of data, reading scales; The use of units; Use of equations and/or graphs to extrapolate trends and forecast, possible use of ICT to do the same; Interpretation of statistics in safety test results. Mathematical skills: Representing; Analysing; Interpreting and evaluating; Communicating. Overlap with A level and other qualifications: GCSE mathematics; GCSE statistics; Intermediate level FSMQ financial calculations; Intermediate level FSMQ data handling. Supportive prior learning: Key stage 4 Number and algebra; Statistics: the handling data cycle. Not usually covered in key stage 4: At key stage 4, mathematics learners may not have encountered extrapolation, trends and forecasting. Level 3 unit 3 Product research, design and development within hair and beauty Areas: Be able to analyse, evaluate and present findings on: the factors that impact on hair and beauty product design and development the differences in product development between different sizes of businesses how different products and services are marketed. Mathematical knowledge and understanding: Understanding percentages and handling large numbers; Constructing and interpreting diagrammatic representations; Collecting data; A basic understanding of trends; Measures of central tendency (and spread) The topic may offer opportunities for more advanced data analysis and data representation techniques such as cumulative frequency diagrams, grouping continuous data and calculating the associated measures, though this is not covered in key stage 4. Mathematical skills: Representing; Representing; Analysing; Interpreting and evaluating; Communicating (presenting findings in either numerical or diagrammatic forms for clarity and impact). Overlap with A level and other qualifications: GCSE mathematics; GCSE statistics; Intermediate level FSMQ data handling. Supportive prior learning: Key stage 4 Number; Statistics. Not usually covered in key stage 4: At key stage 4 learners may not have been required to understand trends. The Qualifications and Curriculum Development Agency is the non-regulatory part of the Qualification and Curriculum Authority QCA 2010-9 -
Level 3 unit 5 Exploring media and image within hair and beauty Area: Be able to gather, analyse and interpret data and present the findings as part of a marketing strategy. Mathematical knowledge and understanding: Interpreting simple diagrammatic representations; Collecting data; Understanding percentages and handling large numbers; A basic understanding of trends. Mathematical skills: Representing; Analysing; Interpreting and evaluating; Communicating. Overlap with A level and other qualifications: GCSE mathematics; GCSE statistics; Intermediate level FSMQ data handling; Intermediate level FSMQ financial calculations. Supportive prior learning: Key stage 4 Number and algebra; Statistics: the handling data cycle. Not usually covered in key stage 4: At key stage 4 learners may not have been required to understand trends. The Qualifications and Curriculum Development Agency is the non-regulatory part of the Qualification and Curriculum Authority QCA 2010-10 -