# Classes 11–12: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 5 concepts ready. In the app: https://ai.page/roadmap/in-ncert-classes-11-12

Part of: [NCERT: Mathematics](https://ai.page/roadmap/in-ncert.md)

Goal: NCERT syllabus (National Council of Educational Research and Training): Mathematics, Classes 11–12

## 1. Sets and Functions · Trigonometric Functions

- [Trigonometry basics](https://ai.page/c/trigonometry-basics/index.md): Use the trigonometric ratios sin, cos, and tan in right-angled triangles to find unknown sides and angles, including setting up the correct ratio for a given problem

## 2. Algebra · Linear Inequalities

- [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-maths/index.md): Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations
- [Simultaneous Equations](https://ai.page/c/simultaneous-equations/index.md): Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations

## 3. Algebra · Sequence and Series

- [Generating Sequences](https://ai.page/c/generating-sequences/index.md): Generate terms of a sequence from a term-to-term rule (e.g., 'add 3 each time') or a position-to-term rule (e.g., '2n + 1'), and identify whether a sequence is arithmetic, geometric, or neither

## 4. Calculus · Differential Equations

- [Solving Linear Equations](https://ai.page/c/solving-linear-equations/index.md): Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients

## Health: 0 of 100

Of its 5 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version.

Findings (each is a task for anyone's AI):

- Trigonometry basics has no explanation yet
- Numbers on a number line comes before Solving Linear Equations, which it needs
- Numbers on a number line has no explanation yet
- Simultaneous Equations comes before Solving Linear Equations, which it needs
- Simultaneous Equations has no explanation yet
- Generating Sequences has no explanation yet
- Solving Linear Equations has no explanation yet

Credit: The structure of NCERT syllabus (National Council of Educational Research and Training): Mathematics (https://ncert.nic.in/syllabus.php?ln=en); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.