High School Math

High School Math builds essential numerical and problem-solving skills for academic success. Learn algebra, geometry, statistics, and practical calculations to strengthen confidence, improve logical thinking, and prepare for further education.

High School Math
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Overview of High School Math

High School Math is a comprehensive course designed to strengthen learners’ understanding of High School Mathematics through essential concepts and practical applications. Covering key areas such as Algebra Skills, Geometry Basics, Mathematical Reasoning, and Math Problem Solving, this course helps students build confidence in tackling complex mathematical challenges and improving their overall numeracy skills.

This course explores important topics including Functions, Quadratic Equations, Co-ordinate Geometry, Sequence and Series, Binomial Theorem, and Simultaneous Linear Equations. Learners will develop strong analytical abilities while enhancing their knowledge of Number Theory, Statistics Skills, and core mathematical principles needed for academic success and effective Exam Preparation.

Students will also gain an understanding of advanced topics such as Trigonometry, Calculus Fundamentals, Differentiation, Tangents and Normals, Stationary Points, Curve Sketching, and the Second Derivative Test. Through structured lessons and essential revision, this High School Mathematics course supports learners in developing problem-solving strategies and applying mathematical reasoning with confidence.

The course was audited and updated on: 27th July, 2026

Learning Outcomes of High School Math

Certification

one education Certificate

After completing the High School Math course assessment, you will be eligible to receive a CPD-accredited certificate worth £9 from One Education to demonstrate your achievement.

The certificate is also available as a printed hard copy delivered by post for £15.

Why Study This High School Math Course?

High School Math helps learners build a strong foundation in essential mathematical concepts, including algebra, geometry, functions, trigonometry, statistics, and problem-solving techniques. This course develops mathematical reasoning and provides practical skills for understanding and applying maths in academic and real-world situations.

Studying High School Math enhances analytical thinking, logical reasoning, and confidence in solving complex mathematical problems. The course supports exam preparation, further education, and career pathways by strengthening core maths skills needed in science, technology, engineering, finance, and everyday decision-making.

Course Duration

The High School Math course has a total study time of 22 hours, 40 minutes. This comprehensive programme is designed for flexible learning, allowing learners to progress at their own pace while developing essential mathematics skills, including algebra, geometry, trigonometry, calculus fundamentals, statistics, number theory, mathematical reasoning, problem-solving techniques, and exam preparation strategies.

Requirements

The High School Math course requirements are simple and suitable for learners at a secondary education level. Participants should have a basic understanding of mathematics, an interest in developing problem-solving and analytical skills, and a willingness to practise mathematical concepts. Access to an internet-enabled device and commitment to regular study are recommended for effective learning and successful course completion.

Career Path

Frequently Asked Questions

This course covers essential high school mathematics topics, including algebra, geometry, functions, trigonometry, calculus fundamentals, statistics, number theory, mathematical reasoning, and problem-solving techniques to build strong mathematical skills.

No. It is suitable for students, beginners, and anyone looking to strengthen their understanding of high school-level mathematics and improve their problem-solving abilities.

The course is delivered online, allowing you to learn at your own pace and develop your mathematical skills conveniently.

Yes. Practice exercises, mathematical problems, quizzes, and learning activities may be included to reinforce understanding and improve exam preparation.

You will receive a certificate of completion after successfully finishing the course.

This course supports academic and professional development by building essential maths skills for further education, engineering, science, technology, finance, data analysis, and other fields requiring mathematical knowledge.

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
High School Math
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