# Class 10: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 8 concepts ready. In the app: https://ai.page/roadmap/in-ncert-class-10

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

Goal: NCERT syllabus (National Council of Educational Research and Training): Mathematics, Class 10

## 1. Number Systems · Real Numbers

- [Number Sets & Infinity](https://ai.page/c/number-sets-and-infinity/index.md): Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers

## 2. Algebra · Pair of Linear Equations in Two Variables

- [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
- [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. Trigonometry · Introduction to Trigonometry

- [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

## 4. Geometry · Triangles

- [Proportion Graphs](https://ai.page/c/proportion-graphs/index.md): Represent proportional relationships using double number lines (two parallel number lines aligned at 0) and ratio tables; recognise that equivalent ratios generate straight lines through the origin when graphed
- [Properties of triangles and quadrilaterals](https://ai.page/c/properties-of-triangles-and-quadrilaterals/index.md): Derive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and relationships between side lengths
- [Angle sums in triangles and polygons](https://ai.page/c/angle-sums-in-triangles-and-polygons/index.md): Derive and use the angle sum in a triangle (180°), use it to deduce the angle sum in any polygon ((n−2) × 180°), and calculate interior and exterior angles of regular polygons

## 5. Mensuration · Areas Related to Circles

- [Circles: Circumference & Area](https://ai.page/c/circles-circumference-and-area/index.md): Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts

## Health: 0 of 100

Of its 8 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):

- Number Sets & Infinity has no explanation yet
- Solving Linear Equations has no explanation yet
- Simultaneous Equations has no explanation yet
- Trigonometry basics has no explanation yet
- Proportion Graphs has no explanation yet
- Properties of triangles and quadrilaterals has no explanation yet
- Angle sums in triangles and polygons has no explanation yet
- Circles: Circumference & Area 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.