The scientific classification of Tree-of-Heaven and Shirley Poppy includes the entire classification chart that includes kingdom, family, clade, tribe etc. A kingdom is the second highest taxonomic rank. A taxonomic rank is the level that a living organisms are placed in hierarchical level of arrangement of life forms. All the living organisms are divided into kingdoms. Plant kingdom is a main classification of living organisms that include all plants. There are six kingdoms which are: Plantae, Animalia, Fungi, Protista, Aschaea/Archaeabacteria and Bacteria Eubacteria. Tree-of-Heaven and Shirley Poppy kingdom and all other plants kingdom is Plantaea.
Plant family is the group of plants which have something in common. Tree-of-Heaven and Shirley Poppy family is a major factor of Tree-of-Heaven and Shirley Poppy Scientific Classification. Plant family helps you narrow the search of your plants. It also gives you idea about, how the plant looks, how the seed will be like etc. These two plant families can be different or same. Tree-of-Heaven belongs to the family Simaroubaceae and Shirley Poppy belongs to the family Papaveraceae.
While comparing scientific classification, Tree-of-Heaven and Shirley Poppy genus and other classification are also important. Also, when you compare Tree-of-Heaven and Shirley Poppy, other factors should also be taken into considerations like order, subfamilies, tribe, clade etc. First plant's genus is Ailanthus and other plant's genus is Papaver. Tree-of-Heaven tribe is Not Available and Shirley Poppy tribe is Papavereae. Tree-of-Heaven clade is Angiosperms, Eudicots and Rosids and order is Sapindales whereas Shirley Poppy clade is Angiosperms and Eudicots and order is Ranunculales. Every plant have subfamilies. Tree-of-Heaven subfamilies are, Not Available and Shirley Poppy subfamilies are Paperveroideae. In this way you can compare scientific classification of Tree-of-Heaven and Shirley Poppy and other products also.