diff --git a/sqlite_utils/db.py b/sqlite_utils/db.py
index 9819555..1b71d10 100644
--- a/sqlite_utils/db.py
+++ b/sqlite_utils/db.py
@@ -387,7 +387,7 @@ class Database:
             hash_id=hash_id,
             extracts=extracts,
         )
-        self.conn.execute(sql)
+        self.execute(sql)
         return self.table(
             name,
             pk=pk,
@@ -710,7 +710,7 @@ class Table(Queryable):
             )
         return self
 
-    def transform_table(
+    def transform(
         self,
         columns=None,
         rename=None,
@@ -724,7 +724,7 @@ class Table(Queryable):
         extracts=None,
     ):
         assert self.exists(), "Cannot transform a table that doesn't exist yet"
-        sqls = self.transform_table_sql(
+        sqls = self.transform_sql(
             columns=columns,
             rename=rename,
             change_type=change_type,
@@ -741,7 +741,7 @@ class Table(Queryable):
                 self.db.conn.execute(sql)
         return self
 
-    def transform_table_sql(
+    def transform_sql(
         self,
         columns=None,
         rename=None,
@@ -783,15 +783,13 @@ class Table(Queryable):
             )
         )
         # Copy across data, respecting any renamed columns
-        new_columns = set(columns.keys())
-        columns_to_copy = new_columns.intersection(previous_columns)
+        new_columns = columns.keys()
+        columns_to_copy = set(new_columns).intersection(previous_columns)
         copy_sql = "INSERT INTO [{new_table}] ({new_cols}) SELECT {old_cols} FROM [{old_table}]".format(
             new_table=new_table_name,
             old_table=self.name,
             old_cols=", ".join(sorted("[{}]".format(col) for col in columns_to_copy)),
-            new_cols=", ".join(
-                sorted("[{}]".format(col) for col in new_columns)
-            ),
+            new_cols=", ".join(sorted("[{}]".format(col) for col in new_columns)),
         )
         sqls.append(copy_sql)
         # Drop the old table
diff --git a/tests/test_transform_table.py b/tests/test_transform.py
similarity index 90%
rename from tests/test_transform_table.py
rename to tests/test_transform.py
index 6eee33a..f86d7af 100644
--- a/tests/test_transform_table.py
+++ b/tests/test_transform.py
@@ -24,9 +24,9 @@ import pytest
         ),
     ],
 )
-def test_transform_table_sql(fresh_db, params, expected_sql):
+def test_transform_sql(fresh_db, params, expected_sql):
     dogs = fresh_db["dogs"]
     dogs.insert({"id": 1, "name": "Cleo", "age": "5"}, pk="id")
     params["tmp_suffix"] = "suffix"
-    sql = dogs.transform_table_sql(**params)
+    sql = dogs.transform_sql(**params)
     assert sql == expected_sql