Step 1Cream the butter in a electric mixer with the paddle attachment at medium speed. Add the sugar and scrape down the sides. Add the eggs and beat on medium speed until combined, about 1 minute.
Step 2Add the almond meal and vanilla extract. Beat at low speed; add the flour and baking powder and continue to mix at low speed just until well combined. Do not overwork.
Step 3Place the dough on a large piece of plastic wrap and form into a rectangle 2 inches thick. Seal in plastic wrap, then cover with foil. Refrigerate overnight.
Step 1Cream the butter in an electric mixer using the paddle attachment at medium speed. Add the sugar and eggs, scraping down the sides of the bowl, and beat on medium speed about 1 minute.
Step 2In a small bowl, combine the flour and almond meal; add to the butter, egg and sugar mixture while mixing at low speed. Mix until well combined, about 1 minute. Set aside or refrigerate until ready to use
Step 1Lightly butter a (12-inch) tart mold (1-inch deep) with a removable bottom. Place the sugar dough between 2 sheets of plastic wrap or parchment paper. Working quickly because the dough will be soft, roll the dough gently to a three-eighths-inch thickness. The circle will be about 15 inches round. Refrigerate for 15 minutes to firm up the dough.
Step 2Heat the oven to 350 degrees. Remove the plastic wrap or parchment from the top of dough. Turn the dough over and place it in the tart mold. Gently remove the second piece of plastic wrap. Press into the sides and bottom and remove excess dough from the rim. With a fork, prick the dough. Place a double sheet of plastic wrap in the tart shell and add dried beans or baking weights. Bake for 15 minutes.
Step 3Remove the beans and plastic wrap and bake the tart shell until it's golden brown, an additional 20 minutes. Cool for 10 minutes. Spoon the frangipane into the shell and spread evenly with an offset spatula. Bake until the frangipane is set, about 15 minutes. Cool for 10 minutes.
Step 4Increase the oven heat to 400 degrees. Remove the fig stems and quarter the figs vertically. Starting on the outer edge of the tart, place the fig quarters with the pointed ends facing out and the skin sides down. Continue to form concentric circles with the fig quarters. For the smaller circles in the center, point the ends up to look like a flower. Bake for 15 minutes, then cool for 15 minutes.
Step 5Place the apricot jam and a teaspoon of water in a small saucepan. Heat on low heat until the mixture is spreadable. With a pastry brush, delicately brush all of the figs with the glaze.
Step 6Before serving, remove the tart from the pan and sprinkle the sliced almonds over the top. Serve warm or at room temperature.