The rising action of any story is the portion of the text which falls between the introduction and the climax. In the introduction, the setting and characters are introduced. In "The Necklace," the introduction consists of the introduction of Monsieur and Madame Loisel (a small description of Madame Forestier) and the rather shabby home the Loisel's live in. The rising action begins when M. Loisel gives his wife, Mathilde, an invitation to a party.
Therefore, the rising action includes the following things:
-Mathilde's need of a dress (her husband gives her 400 francs to buy one)
-Mathilde's need of jewelry (her husband suggests she borrow one from Madame Forestier)
-Mathilde is readily accepted at the party (everyone wishes to be introduced to her and to dance with her)
-Mathilde regards herself in the mirror so she can imprint her image in her mind and remember the night forever
-Mathilde realizes she has lost the necklace.
After realizing she has lost the necklace, the remainder of the story is left to the falling action (or denoument) and the conclusion. The falling action consists of getting a new necklace and signing loans to pay for it, working for 10 years to pay off the debt, and Mathilde becoming an unrecognizable woman. The conclusion is where Mathilde runs into Madame Forestier and finds out the necklace was fake.