Class 10

Variables and Expressions: Letters or symbols that represent unknown values or values that can change.
Equations and Inequalities: Statements that express the equality or inequality of two mathematical expressions.
Linear Equations: Equations in which the highest power of the variable is 1.
Quadratic Equations: Equations in which the highest power of the variable is 2.
Functions: Relations between a set of inputs (called the domain) and a set of possible outputs (called the range).

Points, Lines, and Planes: Basic geometric objects used to define shapes and figures.
Angles and Measurements: Types of angles (acute, obtuse, right, straight) and measurements (degrees, radians).
Properties of Shapes: Characteristics of 2D and 3D shapes, such as congruence, similarity, and symmetry.
Theorems and Proofs: Statements and logical arguments used to establish geometric truths.
Coordinate Geometry: Representation of geometric objects using coordinates (x, y, z) in a Cartesian system.

Limits: The behavior of a function as the input approaches a certain value.
Derivatives: Rates of change of a function with respect to the input.
Differentiation Rules: Rules for finding derivatives, such as the power rule and product rule.
Applications of Derivatives: Optimization, motion, and related rates.
Integrals: Accumulation of quantities over a defined interval.
Integration Techniques: Methods for finding integrals, such as substitution and integration by parts.

Data Types: Quantitative (numerical) and qualitative (categorical) data.
Descriptive Statistics: Measures that summarize and describe data, such as mean, median, and standard deviation.
Inferential Statistics: Making conclusions or predictions about a population based on a sample.
Probability: The study of chance events and their likelihood.
Hypothesis Testing: Testing a statement about a population using a sample.

Angles and Triangles: Relationships between angles and side lengths in triangles.
Trigonometric Functions: Sine, cosine, and tangent, and their relationships with angles and triangles.
Identities and Formulas: Equations and formulas that relate trigonometric functions.
Graphs and Inverses: Graphs of trigonometric functions and their inverse functions.
Applications of Trigonometry: Real-world problems involving right triangles, such as navigation and physics.

Variables are letters or symbols that represent unknown values or values that can change, and are used to express mathematical expressions.
Equations are statements that express the equality of two mathematical expressions, and can be linear or quadratic.
Linear equations are equations in which the highest power of the variable is 1, and can be written in the form ax + by = c.
Quadratic equations are equations in which the highest power of the variable is 2, and can be written in the form ax^2 + bx + c = 0.
Functions are relations between a set of inputs (called the domain) and a set of possible outputs (called the range), and can be represented as f(x) = y.

Points, lines, and planes are basic geometric objects used to define shapes and figures.
Angles can be acute, obtuse, right, or straight, and can be measured in degrees or radians.
Properties of shapes include congruence, similarity, and symmetry, and can be used to describe 2D and 3D shapes.
Theorems and proofs are statements and logical arguments used to establish geometric truths.
Coordinate geometry is a system of representation of geometric objects using coordinates (x, y, z) in a Cartesian system.

Limits describe the behavior of a function as the input approaches a certain value.
Derivatives are rates of change of a function with respect to the input, and can be used to find the slope of a tangent line.
Differentiation rules, such as the power rule and product rule, are used to find derivatives.
Applications of derivatives include optimization, motion, and related rates.
Integrals are accumulation of quantities over a defined interval, and can be used to find the area under a curve.
Integration techniques, such as substitution and integration by parts, are methods for finding integrals.

Data can be quantitative (numerical) or qualitative (categorical).
Descriptive statistics, such as mean, median, and standard deviation, are used to summarize and describe data.
Inferential statistics involves making conclusions or predictions about a population based on a sample.
Probability is the study of chance events and their likelihood.
Hypothesis testing involves testing a statement about a population using a sample.

Angles and triangles are related through the use of trigonometric functions.
Trigonometric functions, such as sine, cosine, and tangent, are used to describe relationships between angles and side lengths in triangles.
Identities and formulas, such as the Pythagorean identity, are used to relate trigonometric functions.
Graphs of trigonometric functions and their inverse functions are used to model periodic phenomena.
Applications of trigonometry include real-world problems involving right triangles, such as navigation and physics.