Step 1: Define disproportionation.
A disproportionation reaction is one in which a single element in one oxidation state simultaneously undergoes both oxidation and reduction, producing two different oxidation states of that same element.
Step 2: Analyze CaCO3 decomposition.
CaCO3 $\rightarrow$ CaO + CO2. In CaCO3: Ca = +2, C = +4, O = -2. In CaO: Ca = +2, O = -2. In CO2: C = +4, O = -2. No element changes its oxidation state. This is a simple thermal decomposition, NOT a redox reaction.
Step 3: Confirm no oxidation-state change.
C remains +4 throughout, Ca remains +2, O remains -2. There is no oxidation or reduction occurring, so this cannot be a disproportionation reaction.
Step 4: Check what disproportionation would require.
For disproportionation: the same element would need to appear in two different products with different oxidation states, one higher and one lower than in the reactant. None of this applies to CaCO3 decomposition.
Step 5: Contrast with true disproportionation examples.
Example: Cl2 + 2NaOH $\rightarrow$ NaCl + NaOCl + H2O. Here Cl goes from 0 to -1 (reduction) and 0 to +1 (oxidation). CaCO3 decomposition has nothing like this.
Step 6: Conclude.
CaCO3 $\rightarrow$ CaO + CO2 is not a disproportionation reaction because no element changes its oxidation state.
\[ \boxed{\text{Option 1: } CaCO_3 \rightarrow CaO + CO_2 \text{ is NOT a disproportionation reaction}} \]