Mathematics for University Study Assessment Brief
| Qualification | NCC Education Level 3 International Foundation Diploma for Higher Education Studies (603/0080/2) |
| Module Title | Mathematics for University Study |
| Unit reference number | F/615/0154 |
| Credits | 10 |
| Level | 3 |
| Type | Core |
| Guided Learning Hours | 58 hours |
| Total Qualification Time | 100 hours |
| Assessment Type | Two 1.5-hour closed-book, supervised, paper-based global exams (100%)
|
Learning Outcomes and Assessment Criteria
| Learning Outcomes:
The Learner will: |
Assessment Criteria:
The Learner can: |
| 1. Be able to develop fundamental knowledge, skills and understanding of number and algebra and be able to perform and solve a range of algebraic calculations, equations, and inequalities | 1.1 Distinguish integers and natural, whole, rational and irrational numbers
1.2 Order positive and negative integers, decimals and fractions using logical operators and the number line 1.3 Understand and use place value in performing calculations 1.4 Conduct addition, subtraction, multiplication and division of positive and negative integers, decimals, fractions, and mixed numbers applying the correct order of operations 1.5 Define prime numbers and use prime factorisation to express whole numbers 1.6 Calculate and recognise the uses of Least Common Multiple (LCM) and Highest Common Factor (HCF) 1.7 Recognise the simple terms used in household finance including profit, loss, cost price, selling price, debit, credit, balance, income tax and interest rate and the methods to calculate them 1.8 Calculate numbers raised to positive integer powers and roots with both integer and fractional indices 1.9 Interpret and perform calculations (with and without a calculator) involving the standard form A x 10n, where 1 ≤ A < 10 and n is an integer 1.10 Solve problems by working interchangeably between fractions, decimals and percentages 1.11 Recognise and use the correct standard units of measures 1.12 Round numbers and measures to an appropriate degree of accuracy 1.13 Apply and interpret limits of accuracy 1.14 Understand the difference between an expression, an equation and a formula 1.15 Simplify a range of algebraic expressions involving powers 1.16 Simplify algebraic expressions by multiplying and dividing expressions 1.17 Factorise algebraic expressions using a range of techniques 1.18 Simplify and solve algebraic fractions 1.19 Transpose formulae 1.20 Solve linear and quadratic equations 1.21 Solve simultaneous equations |
| 2. Acquire, select, and apply mathematical techniques to solve sequence, ratio, proportion, rates of change and geometry problems | 2.1 Accurately recall facts, terminology and definitions
2.2 Use and interpret notation correctly 2.3 Accurately carry out routine procedures or set tasks requiring multi-step solutions |
| 3. Be able to mathematically, solve, reason, make deductions and inferences and draw conclusions within mathematics and other contexts | 3.1 Translate problems in mathematical or non-mathematical contexts into a process or a series of mathematical processes
3.2 Make and use connections between different parts of mathematics 3.3 Interpret results in the context of the given problem 3.4 Evaluate methods used and results obtained 3.5 Evaluate solutions to identify how they may have been affected by assumptions made |
| 4. Comprehend, interpret, and communicate mathematical information in a variety of forms appropriate to the information and context | 4.1 Make deductions, inferences and draw conclusions from mathematical information
4.2 Construct chains of reasoning to achieve a given result 4.3 Interpret and communicate information accurately 4.4 Present arguments and proofs 4.5 Assess the validity of an argument and critically evaluate a given way of presenting information |
| 5. Recognise and apply the fundamentals of statistics and be able to present data in graphical form | 5.1 Perform statistical calculations relating to central tendency and dispersion
5.2 Calculate the arithmetic mean for a range of data samples, frequency distributions and grouped data 5.3 Calculate the modal and median values of data sets 5.4 Calculate the range, quartiles, quantiles, mean deviation, variance and standard deviation 5.5 Present data using tables, pie charts and bar charts 5.6 Construct frequency distributions 5.7 Present data as histograms, ogives and time series graphs 5.8 Present linear and quadratic equations in graphical form 5.9 Provide graphical solutions to simultaneous equations |
| 6. Recognise and apply the fundamentals of probability | 6.1 Calculate probability using the addition and multiplication rules
6.2 Calculate the probability of compound events 6.3 Use tree diagrams to determine probability 6.4 Calculate probabilities of permutations and combinations |
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