The subject matter of chemistry looks heterogenous and huge. Yet it is a branch of knowledge more so of sciences. Hence it must fit into logic and reasoning.
True, we may still consider it as is conventionally done to study it under the three headings of inorganic, organic and physical chemistry. Then we must be able to coordinate all three areas in a harmonius way. This is a good interdisciplinary approach. This will help a student to get better grades with less of stress factor. It will help them to become good scholars if they take up project or research work.
Let us consider Inorganic chemistry. It covers all most all details of properties of all the elements. It apparently looks complicated. We must remember that all properties ultimately depend upon bonding and structure. Bonding can be appreciated by a novel approach, where in we must be able to develop a recipe which combines Fajan's rules with HSAB principle. Then if we have a method of DERIVING structures rather than memorising them, then we have decent understanding about the personalities of the chemical substances. Remember the molecules like human beings have distinctive personalities.
As an extension, we must appreciate that carbon is the only element which has identical number of valence electrons and orbitals.(The other element is Hydrogen which has limited bonding capacity.). This element is thus set apart and organic chemistry can thus be initiated. Catenation which is the key feature of carbon chemistry can thus be given a basis. If we are able to throughly understand five aspects we can enjoy learning thousands of organic reactions. These five principles are Inductive effect, Hyperconjugation effect, Mesomeric/resonace effect(aromatic effect is a special case), steric effect and solvent effect.
We can introduce physical chemistry. The key topic is Thermodymanics.If the learner has a philosophical bent of mind, we can straight away start with Thermodynamics as the starting topic for chemistry. When the terms like heat, work and energy are convincingly communicated, the first law comes out elegently. As an exception to the first law, second law can be introduced. The charming concept of free energy emerges as a combination of enthalpy and entropy concepts. Most of the other topics, like chemical equilibrium, acids and bases, buffers. ionic equilibrium etc can be corelated to the free energy. Rest of the physical chemistry topics can be easily covered.
Now using the premise of Thermodynamics, we can appreciate a number of concepts covered earlier like inoraganic and organic reactions in terms of enthalpy related terms. we can construct Latimer, Pourbaix diagrams for quantitative understanding of many organic and inorganic reactions.