CC Education Academy
Licensed as a Higher Education Institution by the MFHEA
Licence no. 2022-019

The Programme

This course is designed for those adults who need a refresher course in Mathematics or need a basic Maths qualification to be able to apply for employment. It is also intended as an instruction course for those who did not have the opportunity to acquire their Maths MATSEC examination and are intending to start their path towards achieving their myexams.edu.mt exams or just the Proficiency Certification.

Course Content

Number
2ECTSs (equivalent to 50 total hours, which include self-study and assessment hours)
Mode of delivery: Live Video Lectures

This module develops foundational numeracy and problem-solving skills, covering integers, sequences, fractions, decimals, arithmetic operations, indices, standard form, percentages, ratios, proportion, rates of change, measurements, time, scales, and financial literacy. Students explore real-life applications, estimation, calculator use, and essential mathematical techniques for further study and daily problem-solving.

Assessment Methods: Exercises and End or course exam (open book, not timed).


Algebra
2ECTSs (equivalent to 50 total hours, which include self-study and assessment hours)
Mode of delivery: Live Video Lectures

This module introduces key algebraic concepts including algebraic representation, function notation, and manipulation of expressions. Students will develop skills in solving linear and simultaneous equations, using and constructing formulae, working with indices, and understanding sequences. The module also covers the use of graphs—both linear and quadratic—plotting, interpreting graphical data, and reading information graphs, providing a solid foundation for further study in algebra and its real-world applications.

Assessment Methods: Exercises and End or course exam (open book, not timed).

Shapes, Space and Measures
1ECTS (equivalent to 25 total hours, which include self-study and assessment hours)
Mode of delivery: Live Video Lectures

This module explores the fundamentals of Euclidean geometry, including angle and line properties, characteristics and proofs related to triangles, quadrilaterals, polygons, and circles, as well as essential constructions and scale drawings. Students will also study 2D and 3D mensuration (area, perimeter, surface area, and volume), symmetry, congruency, tessellations, and similarity. Key topics include trigonometric ratios, bearings, transformation geometry, and practical applications of loci, providing a solid mathematical foundation for geometric reasoning and problem-solving.

Assessment Methods: Exercises and End or course exam (open book, not timed).

Data
1ECTS (equivalent to 25 total hours, which include self-study and assessment hours)
Mode of delivery: Live Video Lectures

This module introduces students to foundational statistics and probability, including methods for collecting, classifying, tabulating, and interpreting statistical data through charts, graphs, frequency distributions, and histograms. Students use both manual and ICT tools to perform statistical calculations and functions, analyze data sets, and draw inferences. The basics of probability are also explored, covering single and combined events, possibility space diagrams, and their applications to real-life problem solving.

Assessment Methods: Exercises and End or course exam (open book, not timed).


Course delivery: ONLINE
Course duration: 16 weeks on a part time basis
Date of next intake: Periodically - Interested students are to register their interest and be contacted once another intake is announced
Language of Delivery: English/ Maltese
Price: €150 + €20 registration fee
Total Hours (which includes self-study and assessment hours calculated according to the MFHEA guidelines) – 150 hrs

Entry requirements

No particular entry requirements required, a background in secondary school mathematics, and how mathematics works in real life would be an asset.

Target Audience
This programme will equip students with the necessary qualifications to apply for an Early Years course and other programmes which ask for MQF3 Proficiency in Maths.

If the applicant wishes to apply for the LSE course, please note that the qualification per se does not fulfil the requirements of an O’Level, however the programme covers different areas in the syllabus of the myexams.gov.mt exams. Therefore, if the student follows the course he/she will have enough knowledge to acquire a pass in these exams.(/i)

Grading
At the end of the course, students will also be asked to sit for a final examination. This formal assessment is based on the knowledge gained throughout the four modules.
Learners who obtain a pass mark (over 60% overall) in continuous assessment of a given module but fail to obtain a pass mark (50%) on the final examination, will retain the module credits but have to re-sit the final examination to be awarded the certification. Such learners will be offered additional sessions to help them improve their performance. The Exam will not be timed and will be held in open book format.

Student Success Rate
Programme has been accredited in 2024, and no relevant statistics have been gathered yet.

Learning Outcomes
Award in Mathematical Proficiency - MQF3 – 6ECTSs
Part time duration – 16 weeks

Programme Learning Outcomes
By the end of the programme, the learner will be able to:

Understand the structure of the number system and the relationship between numbers.
Use a variety of calculation procedures (mental methods, pen and paper methods, and assistive technology methods) and associated skills.
Understand patterns, sequences, algebraic expressions, formulae, equations, and inequalities.
Recognise graphical representations of algebraic functions.
Appreciate forms of measurement dealing with angles, length, area, volume, capacity, mass, and time.
Identify the properties of lines, segments, parallel lines, perpendicular lines, transversals, angles, 2D and 3D shapes.
Draw the construction of angles, lines, triangles, circles, others polygons and loci in 2D.
Understand position and movement of shapes in a plane.
Read measures of central tendency, measures of dispersion and graphical representation of data.
Appreciate the probabilities associated with certain, uncertain and impossible events.
Understand and appreciate the place and purpose of Mathematics in society and apply mathematical concepts to situations arising in their own lives.
Apply mathematical knowledge and understanding to solve problems.
Think and communicate mathematically - precisely, logically and creatively.
Develop a positive attitude to Mathematics, including confidence and perseverance.
Develop an ability to work independently and co-operatively when doing Mathematics.
Appreciate the interdependence of the different branches of Mathematics.
Acquire a secure foundation for the further study of Mathematics.
Use Mathematics across the curriculum and make efficient, creative, and effective use of appropriate technology in Mathematics


Number – MQF2 – 1ECTSs
Module Learning Outcomes
By the end of the programme, the learner will be able to:

Recognise, understand, and use factors (divisors), multiples, least common multiple, prime numbers, and prime factor decomposition.
Recognise and generate sequences
Recognise equivalent fractions.
Understand and use decimals in real life contexts.
Recognise recurring and non-recurring decimals.
Interpret percentage as “number of parts per hundred”.
Recognise the connection between ratios and fractions.
Calculate an unknown quantity from quantities that vary in direct or inverse proportion.
Express quantities in terms of larger and smaller units.
Calculate time in terms of the 12-hour and 24-hour clock.
Read and interpret clocks, dials, and timetables.
Read and use scales in practical situations (e.g., read a thermometer scale).
Understand and use money in practical situations.
Convert from one currency to another.
Solve problems on personal and household finance involving earnings (e.g., stocks), simple interest, tax, and insurance.
Make estimates of measures, rounding to a specified number of significant figures and decimal places to reasonable accuracy in the context of a given problem
Make sensible approximations in calculations involving multiplication and/or division.
Apply appropriate checks of accuracy (e.g., working backwards from a solution; making approximations to check the reasonableness.
Recognise, understand, and use integers.
Convert fractions to decimals and vice-versa.
Understand and use fractions in real life contexts.
Understand that simple fractions can be represented as recurring decimals.
Understand that fractions which in their lowest terms are of the form m/(2p5q) are non-recurring (m, p, and q are non-negative integers or zero).
Identify the precedence of mathematical operations (BIDMAS).
Understand that the reciprocal of a number is its multiplicative inverse.
Understand and use index notation (e.g., 73, 7-2)
Understand and use the terms: square, square root, cube, and cube root.
Understand and use the index laws for multiplication and division of integer powers.
Understand the purpose and use the standard index form expressed in conventional notation
Understand and use percentages in real life contexts.
Understand and use the elementary ideas and notation of direct and inverse proportion.
Understand and use the elementary ideas of common measures of rates of change (e.g., to calculate the average speed).
Understand and use metric units of mass, length, area, volume, and capacity in practical situations.
Understand the calculator display, interpreting it appropriately.
Know when not to round during intermediate steps of a calculation.
Know how to interpret numbers displayed in standard form.
Know how to enter numbers in standard form.
Understand and use positive and negative numbers in real life contexts (e.g., to find the temperature difference between temperatures below zero).
Simplify fractions.
Order fractions.
Order decimals by using place value and by their position on the number line.
Use the four operations in calculations with integers, decimals, and fractions.
Convert simple fractions to percentages and vice-versa (e.g., Interpret 10% of 40 as 10/100 X 40).
Express a quantity as a percentage of another.
Calculate percentage increase and decrease (e.g., a 15% increase in value of C = 1.15 X C; a 20% discount on € 250 = 0.2 x 250).
Determine the original value given the final value and the percentage change. (e.g., to find the cost price given the selling price and percentage profit).
Use ratio notation in practical situations (e.g., in maps and scale drawings).
Reduce ratios to their simplest form.
Divide a quantity in a given ratio.
Calculate time in terms of the 12-hour and 24-hour clock.
Read and interpret clocks, dials, and timetables.
Read and use scales in practical situations (e.g., read a thermometer scale).
Understand and use money in practical situations.
Convert from one currency to another.
Solve problems on personal and household finance involving earnings (e.g., stocks), simple interest, tax, and insurance.
Use the calculator efficiently and effectively.
Know how to enter complex calculations.

Algebra – MQF3 – 2ECTSs
Module Learning Outcomes
By the end of the programme, the learner will be able to:

Algebraic representation. Function notation. Manipulation of algebraic expressions (e.g., collecting like terms, multiplying a single term over a bracket)
Equations and Inequalities. Creating and solving simple linear equations. Solving simultaneous linear equations graphically and algebraically.
Formulae. Use of formulae, substitution of numbers in a formula, derivation, construction of a formula.
Graphs. Cartesian coordinates in two dimensions. Equations that represent straight lines. Construction of tables for linear and quadratic equations. Plotting and drawing of graphs, on paper and electronically. Read values from graph and solving equations. Gradients.
Information Graphs: Reading and interpreting.
Indices
Positive and negative indices, zero.
Index laws. Simple exponential equations.
Sequences. Generating sequences. Using expressions to describe the nth term, generate sequence terms from the nth term.
Using letters to represent generalised numbers.
Manipulate algebraic expressions by
Collecting like terms
Multiplying a single term over a bracket
Taking out a single term common factor
Simplifying rational expressions with numeric denominators e.g., (2z-3)/5-(z-5)/2 as a single fraction
Construct simple linear equations from given situations.
Solve linear equations.
Solve simultaneous linear equations in two unknowns: Graphically by interpreting the common solution as the point of intersection, algebraically by elimination and by substitution.
Use formulae arising in mathematics and in other subjects.
Substitute numbers in a formula.
Derive a formula and change the subject of the formula.
Read off values from graphs. This includes reading values of x from the graph of the function f(x) to solve an equation f(x) = k where k is a real number.
Find the gradient of a line from its equation.
Obtain the equation of a straight line in the form y = mx + c
Use expressions to describe the nth term of a simple sequence.
Generate terms of a sequence from the nth term.
Understanding that algebraic entities can be transformed according to well-defined properties of generalised arithmetic. Use the index laws in simple instances.
Understand and use the function notation e.g., f(x)= 3x – 5
Understand, interpret, and calculate the gradient of a line from the coordinates of two points on it.
Know and understand that parallel lines have equal gradients.
Interpret information presented in a variety of linear and non-linear graphs (e.g., distance-time and velocity-time graphs, conversion graphs, graphs of height against age).
Use input/output function (number) machines to define function.
Construct a formula on a spreadsheet.
Use and interpret positive and negative integral indices, including zero.
Solve simple exponential equations by inspection e.g., 2x = 16
Generate a sequence using term to term and position-term definitions of the sequence.
Use the scientific calculator and online software to create graphs

Shapes, Space and Measures – MQF3 – 1ECTS
Module Learning Outcomes
By the end of the programme, the learner will be able to:

Angles: properties of angles at a point, angles on a straight line, vertically opposite angles. Types of angles and their properties. Estimation of size of angles.
Lines and Line Segments – parallel lines, alternate angles, corresponding angles, interior angles.
Triangles
Proofs of sum of interior angles, proof of exterior angle, properties of equilateral, isosceles and right-angled triangles. Pythagoras’ Theorem, and its converse in 2-D situations.
Quadrilaterals
Proof on sum of angles of a quadrilateral. Properties of the square, rectangle, parallelogram, trapezium, rhombus, and kite. Classification according to properties.
Polygons. Sums of interior, sums of exterior angles of regular and irregular polygons. Using a formula for the sum of interior angles of a polygon.
Circles. Terms related to the circle. Angle properties of the circle and their use.
Constructions based on measurement. Estimation, measurement and drawing of lines, angle. Construction of parallel lines, angles of 60o and 90o using compass. Construction of 2-D figures from data. Understanding and making scale drawings.
Mensuration
Flat (2-D) Shapes – perimeter and area of rectangles and triangles. Area of parallelogram, trapezium, compound flat shapes. Circumference of a circle, length of arc as a fraction of circumference. Area of sector.
Solid (3-D) Shapes: Surface area of cube, cuboid, cylinder and pyramid. Surface area of simple compound solid shapes. Volume of cuboids. Volume of prism and cylinder.
Symmetry and Congruency: tessellations. Congruent shapes. SSS, SAS, ASA, RHS in triangles to prove congruency. Similar shapes. Common ration property of sides. Mathematical similarities between circles and squares. Line and rotational symmetry. Properties of shapes related to their symmetries. Proofs derived from the symmetry properties of the circle.
Trigonometry (sine, cosine, tangent). Trigonometric ratios
Bearings. Three-figure bearings, solving problems using scale drawings and trigonometrical ratios.
Transformation Geometry. Understanding, recognition and construction of translations and reflections, rotations, and enlargement of plane figures.
Loci. Application of locus properties in 2D in practical situations.
Distinguish between acute, obtuse, and reflex angles.
Distinguish between lines and line segments.
Use parallel lines, alternate angles, corresponding angles, and interior angles on the same side and between the same parallel lines.
Classify quadrilaterals using their geometric properties.
Calculate and use the sums of the interior and exterior angles of regular and irregular polygons.
Use a formula, such as 2n-4 right angles or (n – 2) × 180^o, for the sum of the interior angles of a polygon with n sides.
Find the perimeter and area of rectangles and triangles by counting unit measures and by formula.
Find the area of a parallelogram.
Find the area of a trapezium.
Find the area of compound flat shapes.
Find the circumference and area of a circle.
Find the length of arc as a fraction of the circumference.
Find the area of sector as a fraction of the area of a circle
Find the surface area of a cube, cuboid, cylinder and pyramid.
Find the surface area of simple compound solid shapes involving cubes, cuboids, cylinders and/or pyramids.
Find the volumes of cuboids by counting unit measures and by formula.
Find the volume of a prism and cylinder.
Find the volume of simple compound solid shapes involving cubes, cuboids, and prisms.
Use properties of shapes in tessellations.
Use the trigonometric ratios to solve problems in simple practical situations (e.g., in problems involving angles of elevation and depression).
Interpret and use three-figure bearings measured clockwise from the north.
Use scale drawings and trigonometrical ratios to solve problems involving bearings.
Recognise, describe, and construct translations and reflections of plane figures.
Recognise, describe, and construct rotations and enlargements about the origin of plane figures.
Understand and use properties of angles at a point, angles on a straight line, vertically opposite angles.
Understand a proof that the angle sum of a triangle is 180o.
Understand a proof that the exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices.
Use the angle properties of equilateral, isosceles and right-angled triangles.
Understand a proof of Pythagoras’ Theorem.
Understand the converse of Pythagoras’ Theorem.
Use Pythagoras’ Theorem and its converse in 2-D situations.
Understand a proof that the angle sum of a quadrilateral is 360o.
Understand and use the properties of the square, rectangle, parallelogram, trapezium, rhombus, and kite.
Understand the meaning of terms related to the circle: centre, radius, chord, diameter, circumference, tangent, arc, sector, and segment.
Understand and use the angle properties of the circle to calculate unknown angles:
The angle in a semicircle is a right angle.
The angle at the centre is twice the angle at the circumference.
Angles in the same segment are equal.
Angles in opposite segments are supplementary.
The angle between the radius and the tangent at the point of contact is a right angle. Reasons justifying the use of these angle facts in simple riders are expected.
Understand and know when shapes are congruent.
Appreciate the uniqueness of triangles satisfying SSS, SAS, ASA and RHS.
Understand and use SSS, SAS, ASA and RHS conditions to prove the congruence of triangles.
Understand and know when shapes are similar.
Understand and use AAA, the common ratio property of sides, and two common ratios and the included angle to prove similarity of triangles.
Appreciate that all congruent shapes are similar but similar shapes are not necessarily congruent.
Appreciate that any two circles and any two squares are mathematically similar, whereas, in general, two rectangles are not.
Recognise line and rotational symmetry in two dimensions.
Recognise the order of rotational symmetry.
Recognise properties of triangles, quadrilaterals and circles related to their symmetries.
Use the symmetry properties of the circle and their converse to prove that: Equal chords are equidistant from the centre.
Use the symmetry properties of the circle and their converse to prove that: The perpendicular bisector of a chord passes through the centre, tangents from an external point are equal. Understand, recall, and use the trigonometric relationships in right-angled triangles, namely, sine, cosine, and tangent.
Understand and use the effect of enlargement on the perimeter of 2-D shapes. (In questions requiring candidates to construct transformations on the Cartesian plane, the mirror lines of constructing reflections will be restricted to the axes, = ± x ,y =± c ,x =± c . The angles of rotation for constructing rotations will be restricted to multiples of 90^o. The scale factor for constructing enlargements will be restricted to a positive integer or a fraction. Column vectors will be used to describe translations).
Estimate the size of an angle in degrees.
Carry out constructions based on measurement.
Estimate, measure and draw lines and angles.
Construct parallel lines.
Construct angles of 60o and 90o using compasses.
Construct simple 2-D geometric figures from given data.
Use straight edges and compasses to construct
-the perpendicular bisector of a line segment,
-the perpendicular from a point to a line,
-the bisector of an angle.
Read and make scale drawings (e.g., to solve right-angled triangles).
Apply the following locus properties in two dimensions in practical situations:
The locus of points which are at a fixed distance from a given point.
The locus of points which are equidistant from two given points.
Devise instructions for a computer to produce the desired shapes and paths (e.g., equilateral triangles and hexagons).

Data – MQF3 – 1ECTS
Module Learning Outcomes
By the end of the programme, the learner will be able to:

Collect, classify, and tabulate statistical data (e.g., gather data from Information and Communication Technology (ICT) sources).
Read, interpret, and draw simple inferences from tables and statistical diagrams.
Calculate the probability of a single event. Work out the combined probability outcomes of two independent events
Understand, use, and construct, by both pencil and paper and ICT methods, bar charts, pie charts, simple frequency distributions and histograms with equal intervals.
Calculate and interpret the range, mean, median and mode for discrete and continuous data.
Use appropriate statistical functions on a calculator and a spreadsheet to calculate these statistics.
Construct simple possibility space diagrams (e.g., for the throw of a coin and a die).

Please note that deposits are non refundable