**With Cardiff & Vale Tutors Maths tuition is offered for Primary, Junior, GCSE and A level students.**

**Why contact us for a Maths tutor in Cardiff & the Vale of Glamorgan?**

We know how to maximise results. Exam Success in the Mathematics Syllabus is dependent on 3 fundamental pillars;

**1. A ‘wide and deep’ understanding of the syllabus content,** is of course the first requirement. Knowledge gaps or a lack of understanding, not only put students at risk in exams but also impact negatively on general confidence in the subject.

**2. The knowledge and skill to organise, prioritise and plan study.** Even very smart students can find themselves overwhelmed by the subject and the syllabus leading to panic, a collapse in confidence and poor results.

**3. Exam Technique,** how to answer the questions fully, concisely, to the point and in a way that immediately resonates and pleases the examiners. Top achievers are practised at acing exams, it’s a skill that comes from practise and knowledge.

**We understand these 3 pillars of success and our Cardiff & Vale Tutors are selected to be able to deliver tuition and guidance to optimise exam results. **

**Mathematics – How a Cardiff & Vale Tutor can make a difference**

Mathematics is a core subject of the curriculum, forming a significant part of everyone’s school career and essential for success in both personal and professional lives. It is also an area that many students find extremely challenging, and the necessary problem solving skills can be much improved by Maths tuition. With the extra practise and support of a Cardiff & Vale Maths tutor, candidates become adept in a variety of mathematical techniques and confident using appropriate terminology fluently. Both group and individual work is expected, so it is important that students have the opportunity to practise both cooperatively and independently as they learn a network of interrelated mathematical concepts. For coursework tasks strategising and decision making are essential for processing, solving, concluding and communicating a problem.

**Number and Money**

This broad area is the most fundamental for life beyond the classroom, as students learn about a variety of real-life numeric applications. The ability to carry out mental calculations is particularly useful, and pupils are taught to check their answers by using multiple methods to find a solution. Maths tuition may use number puzzles to engage students’ interest and so they can practise skills of pattern finding and list making. A Cardiff & Vale Maths tutor can also help with topics like temperature, interest, sets and complex numbers. Students are expected to be competent working with decimals, percentages and fractions, and to be familiar with the relationship between distance, speed and time.

**Measure and Shape**

This area of mathematics is largely visual and concerned with spatial concepts, including topics like 3D shapes, Area and Volume, Angles and Vectors. Many students struggle particularly with more complex theories such as Trigonometry and Pythagoras, and the additional explanation from a Cardiff & Vale Maths tutor is highly valuable. Bilateral and rotational symmetry are also confronted, including the ability to reflect, rotate and translate shapes across coordinates. Candidates are also required to plot points and highlight graphical patterns. Our Maths tuition trains individuals to recognise and understand a variety of diagrams, maps and graphs, relating 3D objects to 2D representations.

**Relationships**

Mathematical relationships are largely expressed in algebraic formulae, from which we detect patterns through trial and error experimentation. Students discover formulaic rules and apply them to fresh material, and Maths tuition practises this skill of algebraic manipulation, as well as covering topics like proportion and gradients. As students progress they have the opportunity to tackle differentiation, and solve quadratic equations, often using graphs. Advanced students may even broach logarithmic and exponential functions, which are challenging concepts frequently requiring extra input from a Cardiff & Vale Maths tutor. Dealing with abstract symbols is necessary for exam success as they form an integral part of mathematical problems.

**Statistics**

Statistics is possibly the most interpretive and analytical area of maths, but again is extremely useful in a variety of applications. A practical approach to teaching is generally advised, and Maths tuition can help students analyse the data they have collected, and interpret the results. Calculating averages including the mean, mode and median forms an important part of this work, as well as working with quartiles, and using probabilities. Where possible, a Cardiff & Vale Maths tutor will encourage individuals to make productive use of technology and become confident in doing so, as calculators with graphical facilities can be utilised to process complex data efficiently and accurately.

To find a tutor please click on ‘Find A Tutor‘ and fill out your details.

**Please see below for list of typical Maths topics for Keys stages 3 and 4**:

Handling data

Tallying, collecting and grouping data

Mean, mode and median

Scatter diagrams I

Line graphs and pictograms

Probability

Questionnaires

Measures of central tendency and measures of spread

Probability

Pie charts and frequency diagrams

Scatter diagrams II and Cumulative frequency diagrams

Number:

Rounding and estimating

Negative numbers

Prime numbers, factors and multiples

Significant figures

Ratio and proportion

Long multiplication and division

Fractions

Decimals

Percentages

Standard Form

Surds

Sequences

Powers and standard index form

Space

Angles & Area

Measures

Polygons

Volume

Co-ordinates and bearings

Three Dimension

Symmetry & Transformations

Pythagoras Theoreum

Basic Triganometry

Graphs of sinx, cosx and tanx

Sine and cosine rules and area of a triangle

Circle Theorum

Congruency

Loci Algebra:

Indices eg 22

Graphs

Proportion

Flow Charts

Sequences

Inequalities

Basic algebra

Solving equations

Quadratic equations

Simultaneous equations