Number and Algebra
This subtopic covers fundamental mathematical concepts including number systems, arithmetic operations, algebraic expressions, equations, and inequalities. It provides the essential quantitative skills required for problem-solving in computer science contexts, such as algorithm analysis, data representation, and logical reasoning. Mastery of these concepts enables learners to model real-world problems and apply computational thinking effectively.
Assessment criteria
Learning Objectives
What you need to know and understand
- Perform arithmetic operations with integers, fractions, decimals, and percentages accurately.
- Convert between different number systems (binary, decimal, hexadecimal) and perform basic arithmetic in these systems.
- Simplify algebraic expressions by collecting like terms and applying the laws of indices.
- Solve linear equations in one unknown and rearrange formulas to change the subject.
- Solve linear inequalities and represent the solution set on a number line.
- Apply algebraic methods to solve word problems relevant to computer science scenarios.
Assessment Criteria
Key criteria assessors look for in your portfolio
- Award credit for correct use of BIDMAS/BODMAS order of operations in multi-step calculations.
- Award credit for accurate conversion between number systems with clear working shown.
- Award credit for correctly simplifying expressions and solving equations with appropriate steps.
- Award credit for correctly interpreting and solving word problems, including defining variables and forming equations.
Assessment Guidance
Guidance for achieving higher grades
- 💡Show all working steps clearly to gain method marks even if the final answer is incorrect.
- 💡Practice converting between number systems regularly to build speed and accuracy.
- 💡Check solutions by substituting back into the original equation or inequality.
- 💡Read word problems carefully to identify the unknown and the relationships between quantities.
Common Mistakes
Common errors to avoid in your coursework
- Misapplying the order of operations (e.g., performing addition before multiplication).
- Confusing binary, decimal, and hexadecimal conversions, especially with place values.
- Making sign errors when expanding brackets or moving terms in equations.
- Forgetting to reverse the inequality sign when multiplying or dividing by a negative number.
Pass / Merit / Distinction Evidence Checklist
How your portfolio evidence is graded for SEG AWARDS 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
- Number systems and operations
- Algebraic manipulation
- Equations and inequalities
- Problem-solving strategies
- Application in computing contexts
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