Number and Algebra
This subtopic covers fundamental mathematical concepts in number and algebra, including arithmetic operations, fractions, decimals, percentages, ratios, and basic algebraic manipulation. These skills are essential for solving real-world problems in computer science, such as calculating data sizes, analyzing algorithms, and interpreting numerical data in programming contexts.
Assessment criteria
Learning Objectives
What you need to know and understand
- Perform arithmetic operations with integers, fractions, and decimals accurately
- Convert between fractions, decimals, and percentages
- Solve problems involving ratios and proportions
- Simplify algebraic expressions
- Solve linear equations
- Apply the order of operations to multi-step calculations
- Evaluate the use of different number systems in computing contexts
- Perform arithmetic operations in binary, octal, and hexadecimal
- Simplify algebraic expressions using laws of indices and surds
- Solve linear and quadratic equations
- Analyze sequences and series to predict terms
- Apply algebraic techniques to solve computational problems
Assessment Criteria
Key criteria assessors look for in your portfolio
- Award credit for correct application of BIDMAS/BODMAS in multi-step calculations
- Award credit for accurate conversion between fractions, decimals, and percentages
- Award credit for setting up and solving ratio problems correctly
- Award credit for simplifying algebraic expressions by collecting like terms
- Award credit for solving linear equations with one unknown
- Award credit for correctly converting between number systems with clear working
- Award credit for accurately simplifying algebraic expressions and solving equations
- Award credit for demonstrating understanding of the relationship between algebra and computational logic
Assessment Guidance
Guidance for achieving higher grades
- 💡Show all working steps to gain method marks even if the final answer is wrong
- 💡Double-check calculations using estimation or inverse operations
- 💡Practice converting between fractions, decimals, and percentages fluently
- 💡When solving equations, verify your solution by substituting it back into the original equation
- 💡Practice mental arithmetic and quick conversions to save time
- 💡Show all working steps to gain method marks even if final answer is wrong
- 💡Use estimation to check the reasonableness of answers
Common Mistakes
Common errors to avoid in your coursework
- Misapplying the order of operations (e.g., calculating addition before multiplication)
- Incorrectly converting between fractions and decimals (e.g., rounding errors)
- Confusing ratio and proportion concepts
- Making sign errors when simplifying expressions or solving equations
- Confusing binary and decimal place values
- Misapplying the order of operations (BIDMAS)
- Incorrectly expanding brackets or factorizing expressions
Pass / Merit / Distinction Evidence Checklist
How your portfolio evidence is graded for EXPLOSIVE LEARNING SOLUTIONS (ELS) LTD 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
- Fractions, decimals, and percentages
- Ratios and proportions
- Algebraic expressions and equations
- Order of operations
- Problem-solving with numbers
- Number systems and conversions
- Algebraic manipulation
- Sequences and series
- Mathematical reasoning
- Application to computing
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