Functional Skills Maths - Level 2

Overview

The course focuses on building essential mathematical skills required for practical use in various real-life contexts. It aims to equip learners with the tools they need to confidently apply mathematical concepts, solve complex problems, and make informed decisions.

Number and Calculation Skills: Learners will deepen their understanding of numbers and calculations through interactive activities and exercises. They will develop skills in working with whole numbers, fractions, decimals, percentages, and ratios. The course will cover advanced arithmetic operations, including addition, subtraction, multiplication, and division, as well as the application of these operations in real-life situations. Learners will also explore the relationships between different number systems and develop problem-solving strategies.

Measurement and Shape Skills: The course will enhance learners' measurement and shape skills. They will explore advanced techniques for measurement, including conversions between units of measurement and calculations involving area, volume, and surface area. Learners will also deepen their understanding of 2D and 3D shapes, including their properties, transformations, and calculations of perimeter, area, and volume. They will apply these skills to practical situations and problem-solving scenarios.

Data Handling and Problem-Solving Skills: Learners will develop advanced data handling and problem-solving skills. They will learn to interpret and analyse complex data sets presented in tables, charts, graphs, and diagrams. The course will cover statistical concepts, such as averages, probability, and correlation, enabling learners to make informed interpretations and draw meaningful conclusions. Learners will also develop critical thinking skills and problem-solving strategies to tackle complex mathematical problems in a variety of contexts.

By the end of this course, you should be able to

Whole numbers

• Read, write, order and compare positive and negative numbers of any sise in a practical context
• Carry out calculations with numbers of any sise using efficient methods
• Calculate ratio and direct proportion
• Evaluate expressions and make substitutions in given formulae in words and symbols to produce results

Fractions, decimals and percentages

• Use fractions to order and compare amounts or quantities
• Identify equivalencies between fractions, decimals and percentages
• Evaluate one number as a fraction of another
• Use fractions to add and subtract amounts or quantities
• Order, approximate and compare decimals when solving practical problems
• Add, subtract, multiply and divide decimals up to three places
• Order and compare percentages and understand percentage increase and decrease
• Find percentage parts of quantities and measurements
• Evaluate one number as a percentage of another
• Use a calculator to calculate efficiently using whole numbers, fractions, decimals and percentages

Common measures

• Calculate with sums of money and convert between currencies
• Calculate, measure and record time in different formats
• Estimate, measure and compare length, distance, weight and capacity using metric and, where appropriate, imperial units
• Estimate, measure and compare temperature, including reading scales and conversion tables
• Calculate with units of measure within the same system
• Calculate with units of measure between systems, using conversion tables and scales, and approximate conversion factors
• Understand and use given formulae for finding perimeters and areas of regular shapes (e.g. rectangular and circular surfaces)
• Understand and use given formulae for finding areas of composite shapes (e.g. non-rectangular rooms or plots of land)
• Understand and use given formulae for finding volumes of regular shapes (e.g. a cuboid or cylinder)
• Work out dimensions from scale drawings (e.g. 1:20)

Shape and space

• Recognise and use common 2-D representations of 3-D objects (e.g. in maps and plans)
• Solve problems involving 2-D shapes and parallel lines (e.g. in laying down carpet tiles)

Data and statistical measures

• Extract discrete and continuous data from tables, diagrams, charts and line graphs
• Collect, organise and represent discrete and continuous data in tables, charts, diagrams and line graphs
• Find the mean, median and mode, and use them as appropriate to compare two sets of data
• Find the range and use it to describe the spread within sets of data

Probability

• Identify the range of possible outcomes of combined events and record the information using diagrams or tables

The course emphasises the practical application of mathematical skills in everyday contexts. Learners will develop skills to interpret and solve problems related to finance, statistics, measurements, and calculations. They will also enhance their ability to use mathematical reasoning and logical thinking to make informed decisions and solve practical challenges they may encounter in their personal and professional lives.

Throughout the course, learners will receive guidance and support from experienced instructors who will provide constructive feedback on their progress. They will have access to a range of learning resources, including textbooks, online materials, and interactive exercises, to enhance their learning experience.

By successfully completing the Certificate in Functional Skills in Mathematics (Entry Level 3), learners will have developed a high level of proficiency in mathematical skills, enabling them to confidently apply mathematical concepts in practical situations, pursue further education, and enhance their employability prospects.

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