The present disclosure includes methods of lapping that include energizing one or more elements that are located proximal to a first magnetoresistive element in a transducer region and generate heat and cause the first magnetoresistive element to selectively expand in the lapping direction relative to one or more other magnetoresistive elements. The present disclosure also includes methods of lapping that use one or more thermal sensors located proximal to the first magnetoresistive element to help control lapping in the lapping direction. The present disclosure includes related lapping systems and sliders.