Motivic Cohomology is a branch of mathematics that studies the properties of algebraic varieties using tools from both algebraic geometry and topology. It aims to provide a cohomological framework that captures the essential features of varieties over different fields, particularly in relation to their geometric and arithmetic properties. This theory extends classical cohomology theories, such as Singular Cohomology and De Rham Cohomology, by incorporating motives, which are abstract objects that represent algebraic varieties. Motivic Cohomology helps in understanding the relationships between different varieties and their invariants, facilitating deeper insights into Algebraic Geometry and Number Theory.