Maths GCSE Tutoring (Higher)
Our mathematic tutoring sessions are modular. Each topic takes 1 term (3 months) to complete. The tutoring sessions will be a mixture of hands on learning, presentations and worksheets to introduce the topic. However, Mathematics benefits from much repetition and practice so follow up you and Independent Learning will be suggested to master the topic.
Everyone would need to study or have mastered the “Numbers” topic first before studying the other topics. (Numbers can be studied at the same time as the other topics if multiple topics are being studied at once)
All topics are listed below. The schedule is listed on the “more information” page. Suitable for ages 13+. 3 intake during the year; January, April and September. Please email us if you have any questions or to book on.
Numbers
Basic Algebra, BIDMAS, Prime Factor Trees, HCF, LCM, Adding & Subtracting Fractions, Multiplying & Dividing Fractions, Mixed Numbers and Fractions of Amounts, Recurring Decimal to Fractions, Rounding Significant Figures & Decimal Places, Estimations, Standard Form
All tutees must study this or be competent in these areas as they are essential to understanding the rest of the topics.
1 term (3 months) - see schedule for dates and times-
Algebra 1
Rules of Indices, Negative Indices, Rearranging Formulae, Forming and Solving Equations, Algebraic Fractions,
Surds, Expanding Brackets, Factorising Quadratics, Solving Quadratics by factorisation
1 term (3 months) see schedule for dates and times
Algebra 2
The quadratic formula, completing the square, Linear Sequences nth term, nth term of quadratic sequence,inequalities, quadratic inequalities, iterative method,
simultaneous equations, quadratic simultaneous equations, functions inverse composite, Proof
1 term (3 months) see schedule for dates and times
Probability & Statistics
Probability Basics, Tree Diagrams,Venn Diagrams, Averages & Speed, Estimating the Mean, Scatter Graphs & Correlation, Cumulative Frequency, Box Plots, Histograms, Reading Histograms, Pie Charts
1 term (3 months) see schedule for dates and times
Graphs
Gradient and y=mx+c, coordinates and midpoints, parallel and perpendicular lines, quadratic graphs, cubic reciprocal and exponential graphs, turning points of quadratic graphs, graphs transformations, area under a graph, equations of circles and finding tangents to circles, distance time graphs, velocity time graphs, graphs of inequalities
1 term (3 months) - see schedule for dates and times
Ratios, Proportions and Rates of Change
Ratio, pervcentages, reverse percentage, growth and decay, speed distance time, pressure and density, rates of change
1 term (3 months) see schedule for dates and times
Geometry and Measure
Angles in parallel lines, interior and exterior angles, areas of shapes, area and circumference of a circle, sectors of circles, circle theorems, congruence, similar shapes, volumes of 3D shapes, surface area of 3D shapes
1 term (3 months) see schedule for dates and times
Trigonometry & Pythagoras
Pythagoras, Trigonometry, SOH CAH TOA, Trig & Pythagoras in 3D, the Sine Rule, graphs of trigonometric functions, trigonometry common values, vectors
December mini course
Constructions
Translations and Reflections, Rotations and Enlargements, Negative Enlargements, Loci and Bisecting an angle or line, Bearings
December mini course (3 weeks)