Number and Algebra
This subtopic equips learners with essential mathematical skills for the service industry, covering arithmetic, algebra, and data interpretation. It focuses on applying these skills to real-world scenarios such as calculating costs, profits, discounts, and interpreting business data, ensuring accuracy and efficiency in vocational contexts.
Assessment criteria
Learning Objectives
What you need to know and understand
- Perform arithmetic operations accurately on whole numbers, decimals, and fractions.
- Apply the order of operations (BIDMAS) to solve multi-step calculations.
- Solve linear equations and inequalities in a service industry context.
- Interpret and construct graphs and charts from numerical data.
- Use ratios and proportions to solve problems involving scaling and mixing.
- Calculate percentages and apply them to discounts, markups, and interest.
- Use algebraic formulas to calculate costs, revenue, and profit.
- Evaluate the accuracy of calculations and results using estimation and rounding.
Assessment Criteria
Key criteria assessors look for in your portfolio
- Award credit for demonstrating correct use of BIDMAS in multi-step calculations.
- Award credit for accurately solving linear equations and inequalities with clear steps.
- Award credit for correctly interpreting and constructing graphs/charts with appropriate labels and scales.
- Award credit for applying ratios and proportions correctly to real-world scaling and mixing problems.
- Award credit for accurate percentage calculations in contexts like discounts, markups, and interest.
- Award credit for correctly substituting values into algebraic formulas to compute costs, revenue, or profit.
- Award credit for using estimation and rounding to verify the reasonableness of results.
Assessment Guidance
Guidance for achieving higher grades
- 💡Always show your working step-by-step to gain method marks even if the final answer is wrong.
- 💡Practice applying BIDMAS to multi-step calculations to avoid common errors.
- 💡When solving equations, perform the same operation on both sides to maintain balance.
- 💡For percentage problems, identify the base value and whether you need to find a percentage of it or a percentage change.
- 💡When constructing graphs, choose an appropriate scale and label axes clearly.
- 💡Use estimation to quickly check if your final answer is plausible before submitting.
Common Mistakes
Common errors to avoid in your coursework
- Misapplying the order of operations, e.g., performing addition before multiplication.
- Confusing ratios with fractions or misinterpreting proportion problems.
- Incorrectly converting percentages to decimals or vice versa.
- Making arithmetic errors when working with decimals or fractions, especially in division.
- Misreading graph scales or mislabeling axes when constructing charts.
- Forgetting to check the reasonableness of answers using estimation.
Pass / Merit / Distinction Evidence Checklist
How your portfolio evidence is graded for PEARSON EDI Number and Algebra
Every vocational unit is marked against named criteria rather than an exam percentage. Your tutor's brief lists the exact codes for this unit — here is what each band is asking you to do.
Demonstrate baseline knowledge, accurate terminology, and core practical application.
Provide detailed analysis, structured explanations, and clear workplace reasoning.
Deliver thorough evaluation, original problem solving, and fully justified recommendations.
Coursework AI Review
Paste your assignment brief and check your draft against its P/M/D criteria
Key Terminology
Essential terms to know
- Arithmetic operations
- Order of operations (BIDMAS)
- Linear equations and inequalities
- Data representation and interpretation
- Ratios and proportions
- Percentages in business
- Algebraic formulas
- Estimation and accuracy
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