High School Math
High school maths course UK covering functions, algebra, quadratics, sequences, binomial theorem, coordinate geometry and introductory calculus for learners.
222 Students
Overview
A high school maths course UK provides structured learning across algebra, functions, quadratic equations, coordinate geometry, sequences, series, binomial expansion and introductory calculus. This curriculum progresses from core algebraic concepts towards derivatives, tangents, stationary points, concavity and optimisation. Therefore, learners can develop numerical reasoning alongside graphical interpretation and equation-solving ability. The high school maths training UK pathway is suitable for students seeking stronger academic foundations, while the secondary school maths course UK structure supports progression towards advanced study, examinations and mathematically focused careers.
Course Description
Numbers become more meaningful when learners discover the patterns, relationships and rules behind them. This high school maths course UK brings those ideas together through a carefully sequenced curriculum covering functions, algebra, quadratics, coordinate geometry, sequences, binomial theorem and differentiation. Alongside the high school maths training UK approach, the programme introduces graphical techniques, equation-solving strategies and mathematical reasoning that can support academic progression.
The secondary school maths course UK content moves from core algebra towards more advanced topics, including composite and inverse functions, rational graphs, quadratic inequalities, arithmetic and geometric progressions, factorials and binomial expansions. Learners following maths for high school students UK can explore concepts through worked problems, graphical methods and past-paper questions. In addition, the online high school maths course UK format makes the curriculum accessible for flexible study.
For learners preparing for future assessments, this GCSE maths preparation UK resource offers broader mathematical coverage, while the secondary maths course UK pathway reinforces key concepts. The programme also supports high school maths tuition UK, strengthens transferable maths skills course UK abilities and introduces high school mathematics UK concepts that can lead towards further education. As a result, learners can approach mathematical problems with greater structure, accuracy and confidence.
Learning Outcomes
- Apply the high school maths course UK framework to interpret functions, identify domain and range, and distinguish even, odd, one-to-one, composite and inverse relationships.
- Use high school maths training UK methods to solve quadratic equations, manipulate completed-square forms, analyse roots, sketch parabolic curves and address quadratic inequalities.
- Use secondary school maths course UK concepts to calculate gradients, distance and midpoints, form straight-line equations, and locate intersections between lines and parabolas.
- Use maths for high school students UK techniques to work with arithmetic and geometric progressions, binomial coefficients, factorial notation, expansion terms and coefficient-based questions.
- Use the online high school maths course UK approach to differentiate expressions, investigate rate of change, evaluate tangents and normals, locate stationary points, assess concavity and solve optimisation tasks.
Who Is This Course For?
- Learners following a secondary school maths course UK who want a broader route across algebra, functions, graphs and calculus.
- GCSE maths preparation UK learners seeking additional revision around equations, sequences, coordinate methods and calculus foundations.
- Learners using high school maths tuition UK to supplement classroom teaching with structured exercises and past-paper style questions.
- Learners looking for a maths skills course UK that connects algebraic notation with graphical reasoning and further mathematical study.
- Learners seeking high school mathematics UK content that can complement independent study, sixth-form preparation or future quantitative subjects.
Certification
Once the High School Math is successfully completed, the learner can obtain the PDF certificate without any cost. The hard copy of the certificate is also available for £4.99. However, anyone ordering the hard copy certificate from outside the United Kingdom may incur an additional delivery charge.
Career Path
- Data Scientist — Analyses large datasets, develops models and turns numerical evidence into useful insights. This high school maths course UK can provide early preparation for later study in mathematics, statistics or data science. Indicative annual salary band: £40,000–£83,000.
- Actuary — Evaluates financial uncertainty, long-term costs and investment risk using advanced mathematical methods. A high school maths training UK foundation can support later progression towards degree-level mathematics or statistics. Indicative annual salary band: £40,000–£70,000.
- Secondary School Teacher — Teaches mathematical concepts, supports learner progress and prepares pupils for assessments. A secondary school maths course UK can help build subject familiarity before teacher training and QTS routes. Indicative annual salary band: £40,000–£51,000.
- Clinical Scientist — Applies scientific analysis to research, diagnosis and healthcare technology. Maths for high school students UK may serve as an early academic stepping stone before science-focused higher education. Indicative annual salary band: £49,000–£65,000.
- Medical Physicist — Uses physics and mathematical modelling in imaging, measurement and treatment technologies. An online high school maths course UK can support the numerical foundation needed for later physics study. Indicative annual salary band: £40,000–£65,000.
- Physicist — Studies matter and energy, develops models and uses quantitative methods to investigate scientific questions. GCSE maths preparation UK can strengthen the core mathematics that later physics programmes may build upon. Indicative annual salary band: £40,000–£61,000.
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Frequently Asked Questions (FAQs)
Yes. The high school maths course UK covers algebra, functions, quadratics, geometry, sequences, binomial topics and introductory calculus in a broad secondary-level progression.
The high school maths training UK pathway includes functions, graphs, quadratic equations, coordinate geometry, sequences, series, binomial expansion, differentiation and linear equations.
Yes. Maths for high school students UK content can support revision, especially where learners need extra work on algebraic manipulation, graphs, equations and selected calculus topics. It should complement the requirements of the relevant GCSE specification.
Yes. The online high school maths course UK structure includes practice problems and resource-based learning, making it suitable for learners who prefer organised self-study.
Yes. The secondary school maths course UK content can sit alongside school lessons or high school maths tuition UK by offering extra question practice and topic review.
High School Math Course Reviews
An outstanding online course with clear explanations and practical examples. I could study at my own pace and still feel fully supported throughout. It’s truly boosted my confidence and career prospects
The course was well-structured, engaging, and easy to follow. The flexibility made it perfect alongside my full-time job. I’ve gained valuable, real-world skills that I can apply immediately.
Excellent learning experience from start to finish. The content was professional, up-to-date, and highly relevant. I would highly recommend it to anyone looking to upskill online.
Course Curriculum
| Introduction | |||
| Introduction | FREE | 00:03:00 | |
| Functions | |||
| What is Function? | 00:07:00 | ||
| Vertical Line Test | 00:04:00 | ||
| Value of a Function Graphically | 00:08:00 | ||
| Domain Range of a function Algebraically | 00:13:00 | ||
| Domain Range of a function Graphically | FREE | 00:06:00 | |
| Even & Odd Functions | 00:07:00 | ||
| One to one Function | 00:05:00 | ||
| Composite Functions | 00:09:00 | ||
| How to draw Rational Functions- 1 | 00:04:00 | ||
| How to draw Rational Functions- 2 | 00:10:00 | ||
| Inverse of a function Algebraically | 00:05:00 | ||
| Inverse of a function Graphically | 00:09:00 | ||
| Practice Problems 1 | 00:15:00 | ||
| Practice Problems 2 | 00:11:00 | ||
| Resources Downloads | 00:26:00 | ||
| Quadratic Equations | |||
| Introduction to Quadratic Equations | 00:04:00 | ||
| Solving Quadratic Equations by Factorization method | 00:10:00 | ||
| Writing in completed square form | 00:08:00 | ||
| Solving by completed square method | 00:08:00 | ||
| Sketching of Quadratic Graphs | 00:11:00 | ||
| Quadratic graphs using Transformations | 00:06:00 | ||
| Quadratic inequalities | 00:11:00 | ||
| Deriving Quadratic formula | 00:05:00 | ||
| Solving problems using Quadratic Formula | 00:06:00 | ||
| Equations reducible to Quadratic | 00:07:00 | ||
| Nature of Roots of Quadratic Equations | 00:04:00 | ||
| Nature of roots continues | 00:12:00 | ||
| Quadratic Equations (Resources) | 00:40:00 | ||
| Co-ordinate Geometry | |||
| Distance formula | 00:15:00 | ||
| Mid point formula | 00:05:00 | ||
| Gradient of a line | 00:10:00 | ||
| Graphing using gradient and y intercept | 00:02:00 | ||
| Some standard lines | 00:04:00 | ||
| Slope intercept form y = m x +c | 00:05:00 | ||
| Intersection of line and parabola | 00:09:00 | ||
| Practice Problems from past papers (part 3) | 00:12:00 | ||
| Sequence and series | |||
| Sequence and series ( video) | 00:08:00 | ||
| Arithmetic Sequence | 00:10:00 | ||
| General term of an A.P. | 00:07:00 | ||
| Finding given term is which term? | 00:05:00 | ||
| Writing sequence when two terms are known | 00:08:00 | ||
| Condition for three terms to be in A.P. | 00:05:00 | ||
| Sum to n terms of A.P. | 00:06:00 | ||
| Practice Problems 1 (A.P.) | 00:08:00 | ||
| Practice problems 3 (A.P.) | 00:07:00 | ||
| Practice problems 4 (A.P.) | 00:10:00 | ||
| Geometric Progressions | 00:11:00 | ||
| Sum to n terms in G.P. | 00:14:00 | ||
| Sum to infinite Terms in G.P. | 00:13:00 | ||
| Practice Problems 1 (GP) | 00:13:00 | ||
| Practice Problems 2 (GP) | 00:06:00 | ||
| Practice Problems based on AP and GP both | 00:15:00 | ||
| Sequence and series Text 1 | 00:48:00 | ||
| Sequence and series Text 2 | 00:48:00 | ||
| Binomial Theorem | |||
| What is Factorial? | 00:06:00 | ||
| n-choose –r problems | 00:06:00 | ||
| Properties of n – choose -r | 00:05:00 | ||
| Expanding using Binomial Theorem | 00:11:00 | ||
| Finding the indicated term in the Binomial expansion | 00:10:00 | ||
| Finding the indicated term from end | 00:09:00 | ||
| Finding the coefficient for given exponent (index) of the variable | 00:08:00 | ||
| Finding the term independent of variable | 00:05:00 | ||
| Expanding in increasing and decreasing powers of x | 00:09:00 | ||
| Practice problems 1 | 00:12:00 | ||
| Practice Problems 2 | 00:09:00 | ||
| Practice problems 3 | 00:10:00 | ||
| Past papers problems 1 | 00:15:00 | ||
| Past Paper problems 2 | 00:13:00 | ||
| Past Paper problems 3 | 00:09:00 | ||
| Resources in this section | 00:48:00 | ||
| Differentiation | |||
| What is Derivative? | 00:07:00 | ||
| Derivation of formula for Derivative | 00:06:00 | ||
| Differentiation by definition or First Principle | 00:06:00 | ||
| Power Rule | 00:20:00 | ||
| Practice Problems on Power Rule 1 | 00:07:00 | ||
| Practice Problems on Power Rule 2 | 00:07:00 | ||
| Practice Problems on Power Rule 3 | 00:05:00 | ||
| Practice Problems on Power Rule 4 | 00:11:00 | ||
| Practice Problems on Power Rule 5 | 00:07:00 | ||
| Tangents and Normals | |||
| Tangents and Normals- Basics | 00:12:00 | ||
| Practice- Tangents and Normals Part 1 | 00:16:00 | ||
| Practice- Tangents and Normals Part 2 | 00:13:00 | ||
| Practice- Tangents and Normals Part 3 | 00:11:00 | ||
| Practice- Tangents and Normals Part 4 | 00:14:00 | ||
| Stationary Points & Curve Sketching | |||
| Stationary Points – Basics | 00:13:00 | ||
| Practice- Increasing Decreasing & Maxima Minima part 1 | 00:11:00 | ||
| Practice- Increasing Decreasing & Maxima Minima part 2 | 00:12:00 | ||
| Practice- Increasing Decreasing & Maxima Minima part 3 | 00:10:00 | ||
| Second Derivative Test (Maximum & Minimum Points) | |||
| Concavity-Basics | 00:02:00 | ||
| Concavity & Second Derivative | 00:08:00 | ||
| Second Derivative Test | 00:09:00 | ||
| Practice Problems on second derivative | 00:04:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 1 | 00:17:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 2 | 00:10:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 3 | 00:07:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 4 | 00:07:00 | ||
| Applications of Maxima and Minima Part 1 | 00:09:00 | ||
| Applications of Maxima and Minima Part 2 | 00:07:00 | ||
| Applications of Maxima and Minima Part 3 | 00:10:00 | ||
| Applications of Maxima and Minima Part 4 | 00:09:00 | ||
| Applications of Maxima and Minima Part 5 | 00:10:00 | ||
| Applications of Maxima and Minima Part 6 | 00:08:00 | ||
| Past Paper Problems on applications of maxima and minima Part 1 | 00:09:00 | ||
| Past Paper Problems on applications of maxima and minima Part 2 | 00:09:00 | ||
| Past Paper Problems on applications of maxima and minima Part 3 | 00:08:00 | ||
| Past Paper Problems on applications of maxima and minima Part 4 | 00:07:00 | ||
| Chain Rule | 00:12:00 | ||
| Rate of change part 1 | 00:05:00 | ||
| Rate of change part 2 | 00:10:00 | ||
| Rate of change part 3 | 00:07:00 | ||
| Past Paper Problems using chain rule -1 | 00:06:00 | ||
| Past Paper Problems using chain rule – 2 | 00:07:00 | ||
| Past Paper Problems using chain rule 3 | 00:07:00 | ||
| Past Paper Problems using chain rule -4 | 00:04:00 | ||
| Simultaneous Linear equations | |||
| Graphical Method of solving pair of linear equations | 00:10:00 | ||
| Video lecture on Graphical method | 00:05:00 | ||
| Method of elimination by substitution | 00:10:00 | ||
| Video lecture on substitution method | 00:06:00 | ||
| Method of elimination by equating the coefficients | 00:10:00 | ||
| Video lecture on equating coefficients method | 00:09:00 | ||
| Practice Problems on Linear equation | 00:20:00 | ||
| Essential Revision | |||
| How to take up this course? | 00:10:00 | ||
| Background of Algebra | 00:10:00 | ||
| Language of Alg ebra | 00:10:00 | ||
| Finding Values of algebraic expressions | 00:14:00 | ||
| Fractional Indices | 00:10:00 | ||
| Higher Indices | 00:07:00 | ||
| Rules of Brackets | 00:04:00 | ||
| Simplification by removing brackets (BODMAS) | 00:11:00 | ||
| Simplifications of Algebraic Fractions | 00:07:00 | ||
| Solving complex Linear Equations in one variable | 00:10:00 | ||
| Factorization by taking out common factor | 00:10:00 | ||
| Factorization by grouping the terms | 00:09:00 | ||
| Factorize using identity a ² – b ² | 00:07:00 | ||
| Factorization by middle term split | 00:12:00 | ||
Frequently Asked Questions
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Anyone can enrol, including students, professionals, job seekers, career changers, and organisations. Most courses do not require previous experience, making them accessible to learners at all levels.
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You will have 14 days to revoke your Course purchase from your purchase date. Regrettably, refunds are not allowed after your purchase have been approved, and materials have been posted to the student’s dashboard or accessed.
Yes, learners receive a downloadable digital certificate upon successful completion, suitable for CPD records, CVs, and professional portfolios.
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Number of Units:
136 -
Access:
1 Year -
Duration:
22 hours, 40 minutes -
PDF Certificate
Included
