Functional Skills – Maths (Level 3)

Module 01: Number Skills
This module develops learners’ understanding of whole numbers, decimals, and fractions while ensuring accurate computation. Learners will apply number skills to solve practical problems in everyday contexts such as shopping, measurements, and financial calculations.

Module 02: Integers (Directed Numbers)
Learners will explore positive and negative numbers and how to perform operations including addition, subtraction, multiplication, and division. The module emphasises real-world applications such as temperature differences, financial credit/debt, and elevation changes.

Module 03: Factors and Multiples
This module teaches learners to identify factors, multiples, and prime numbers efficiently. Learners will use this knowledge to simplify calculations, solve divisibility problems, and understand the structure of numbers in real-life applications.

Module 04: Fractions
Learners will study equivalent fractions, simplification, addition, subtraction, multiplication, and division of fractions. The module focuses on practical applications such as recipes, measurements, and proportional reasoning in everyday scenarios.

Module 05: Decimal Numbers
This module explores decimal place value, arithmetic operations, and rounding methods. Learners will practise applying decimals in contexts such as money, measurement conversions, and statistical calculations accurately.

Module 06: Rational Numbers
Learners will examine numbers expressed as fractions, decimals, and percentages. The module teaches converting between these forms and applying them in problem-solving tasks across finance, science, and everyday life.

Module 07: Simplification Rule: BODMAS
This module covers the order of operations for solving expressions correctly using BODMAS. Learners will practise multi-step calculations to ensure accurate problem-solving in both theoretical and real-world contexts.

Module 08: Approximation
Learners will study rounding, truncation, and significant figures to approximate calculations efficiently. The module emphasises practical applications where exact numbers are unnecessary, such as estimating costs, measurements, or distances.

Module 09: Estimation and Scientific Notation or Standard Form
This module teaches estimation techniques and expressing very large or small numbers in standard form. Learners will apply these skills in scientific data analysis, financial forecasting, and technical calculations.

Module 10: Percentage
Learners will explore calculating percentages, percentage changes, and real-life applications like discounts, interest rates, and tax. The module develops accuracy in solving financial, statistical, and practical problems using percentage reasoning.

Module 11: Ratio and Proportion
This module introduces understanding and solving ratio and proportion problems in practical contexts. Learners will apply these concepts in scaling recipes, maps, mixing solutions, and interpreting financial or measurement ratios.

Module 12: Unitary Method and its Applications
Learners will study solving problems using the unitary method by calculating values per unit. The module emphasises applications in pricing, production, speed calculations, and proportional reasoning for real-world problem-solving.

Module 13: Profit, Loss, Discount, and Tax
This module teaches learners to calculate profit, loss, discount, and tax in commercial and personal finance contexts. Learners will practise applying formulas and analysing financial outcomes accurately in real-life scenarios.

Module 14: Algebra
Learners will explore algebraic expressions, equations, and formulae to model practical situations. The module develops problem-solving skills by using algebra to understand relationships between variables in various contexts.

Module 15: Algebraic Techniques
This module introduces factorisation, expansion, and simplification of algebraic expressions. Learners will practise applying these techniques to solve equations and develop logical thinking for abstract and applied problems.

Module 16: Substitution in Given Formula
Learners will learn how to substitute values into algebraic formulas accurately. The module emphasises solving real-life problems in finance, science, engineering, and technical applications using substitution methods.

Module 17: Geometry and Trigonometry
This module introduces geometric shapes, angles, and trigonometric ratios. Learners will apply these concepts to measurement problems, spatial reasoning tasks, and real-world applications such as construction and navigation.

Module 18: Scale Drawings
Learners will practise creating and interpreting scale drawings, maps, and plans accurately. The module focuses on proportional reasoning, practical measurement, and applying scale in design, planning, and technical contexts.

Module 19: Graphs and Functions
This module teaches plotting, interpreting, and analysing linear and non-linear graphs. Learners will use functions and trends to model situations, solve problems, and communicate information effectively using graphical methods.

Module 20: Measure, Shape, and Space
Learners will study perimeter, area, volume, angles, and spatial reasoning skills. The module emphasises practical applications in construction, design, and everyday life where accurate measurements are required.

Module 21: Convert between Metric and Imperial Units
This module teaches converting between metric and imperial units of length, weight, and volume. Learners will apply conversions accurately in cooking, construction, travel, and scientific measurement tasks.

Module 22: Compound Measures including Speed, Density & Rates of Pay
Learners will calculate compound measures such as speed, density, and wage rates. The module focuses on applying formulas, interpreting results, and solving multi-step practical problems accurately.

Module 23: Personal Finance
This module introduces budgeting, saving, income, and expenditure management. Learners will practise making informed financial decisions, understanding financial products, and applying arithmetic and percentage skills effectively.

Module 24: Simple Interest and Compound Interest
Learners will study calculating simple and compound interest for savings, loans, and investments. The module emphasises accuracy, understanding financial growth, and applying interest formulas in real-life situations.

Module 25: Handling Data
This module covers collecting, organising, and representing data using tables, charts, and diagrams. Learners will analyse and interpret information to make evidence-based decisions and solve practical problems.

Module 26: Statistics
Learners will study measures of central tendency, variability, and identifying trends in data. The module focuses on interpreting data effectively to support conclusions and make informed decisions.

Module 27: Probability
This module introduces calculating probability for single and multiple events. Learners will apply theoretical and practical reasoning to evaluate likelihoods, make predictions, and solve real-life probability problems.

Module 28: Mathematical Reasoning
Learners will develop logical thinking and reasoning skills to solve complex problems. The module emphasises justifying methods, evaluating solutions, and applying appropriate strategies across multiple contexts.

Module 29: Problem-Solving
This module focuses on tackling multi-step mathematical problems systematically. Learners will practise identifying key information, selecting suitable methods, and verifying solutions in real-world and workplace situations.

Module 30: Practical Applications
Learners will apply mathematical concepts to everyday tasks, work-related problems, and technical projects. The module develops critical thinking, calculation accuracy, and decision-making skills in practical contexts.