# Year 13 Maths

Year 13 maths is the second year of study of **A-level** (Advanced level) math, which is the qualification for further career courses. Year 13 maths mainly has 3 parts: pure maths, statistics, and mechanics. In 2/3^{rd} of the academic year, pure maths is studied and the remaining 1/3^{rd} is divided between statistics and mechanics. Year 13 maths mainly has the applications of the concepts that are learned in the previous year.

## Year 13 Maths - Curriculum

The detailed list of **year 13 maths** along with topics and subtopics is mentioned below. A year 13 student must have the curriculum in hand to have an idea of how much they need to learn this year.

**Pure Maths:**

- Advanced algebraic methods
- Graphing functions
- Roots and rational indices
- Sequences and series
- Pascal's triangle and Advanced binomial theorem
- Circles and parabolas
- Vectors in three dimensions
- Permutations and combinations
- Functions: The following are the subtopics that would fall under functions.
- Trigonometry: The following are the subtopics that would fall under trigonometry.
- Radians
- Modeling trigonometric functions
- Symmetry and periodicity of trigonometric functions
- Heron's formula
- Inverse trigonometric functions

- Calculus: The following are the subtopics that would fall under calculus.
- Advanced differentiation techniques
- Integration
- Applications of integrals

**Statistics:**

- Confidence intervals for population means
- Correlation and regression
- Conditional probability
- Normal distribution

**Mechanics:**

- Applications of forces
- Friction
- Projectiles
- Advanced kinematics
- Vectors in mechanics

## Developing Year 13 Maths Skills

Year 13 maths is mainly the application of what they have learned in their previous year. It includes advanced concepts such as advanced algebra, advanced binomial theorem, advanced trigonometry, etc. The only way to develop skills in year 13 maths is to improve conceptual understanding and solve more application-based questions.

**Advanced binomial theorem:** The student in year 13 learns the connection between Pascal's triangle and binomial theorem. This helps the students to avoid rote learning and solve the binomial expansions in a much easier way.

**Permutation and combination:** This topic is about the number of selections (combinations) and arrangements (permutations). One can gain command over this topic by first learning it practically for a smaller number of objects. For example, two letters out of three letters a,b,c can be selected in only three ways: ab, bc, ca. But two letters can be selected and then arranged as words from three letters a,b,c in 6 ways: ab, ba, bc, cb, ca, ac.

**Integration:** Though integration is a new topic in year 13, it is connected to derivatives. This is because integration is the reverse process of differentiation. The application of integration involves finding the area between two curves.

## Year 13 Maths Tips and Tricks

Here are some tips for year 13 students to get good grades.

- Make proper notes of whatever is taught in the school.
- Keep revising the concepts at regular intervals.
- Work on every topic from elementary to hard level.
- Work on previous years' papers and worksheets under exam conditions (like keeping the timing limit).
- Make a note of the mistakes every time and then set up a new plan to avoid the mistakes.

## FAQs on Year 13 Maths

### What Topics are there in Year 13 Maths?

The following is the complete list of topics of **year 13 maths**.

- Graphing functions
- Roots and rational indices
- Sequences and series
- Advanced binomial theorem
- Circles and parabolas
- Vectors in three dimensions
- Permutations and combinations
- Composition of functions
- Inverse functions
- Difference quotient
- Radians
- Modeling trigonometric functions
- Heron's formula
- Inverse trigonometric functions
- Advanced differentiation techniques
- Integration
- Applications of integrals

**Statistics:**

- Confidence intervals for population means
- Correlation and regression
- Conditional probability
- Normal distribution

**Mechanics:**

- Applications of forces
- Friction
- Projectiles
- Advanced kinematics
- Vectors in mechanics

### Does Year 13 Belong to A-Level Maths?

A-level (advanced level) maths has to be studied in years 12 and 13. Thus, year 13 maths is the second year of A-level maths.

### Which Key Stage Year 13 Belong to?

Key stage 5 is made up of years 12 and 13. Thus, year 13 belongs to KS5.

### What is there in the Calculus of Year 13?

Calculus in year 13 has more differentiation techniques. Further, integration is also introduced in year 13 along with applications of integrals.

### Is Mechanics of Year 13 Compulsory?

No, mechanics is not compulsory. Pure maths paper is compulsory. Along with this one optional paper (from statistics/mechanics) should be opted. The students can select the optional paper depending on the future career courses that they are planning to take up.

visual curriculum