Almond Glazed Sugar Cookies

These come from my sister-in-law, Shannon. Years ago (1999?), I had a cookie swap and Shannon brought these and they were definitely the hit of the party! I have made them every Christmas since then.
1 c. butter, softened
¾ c. sugar
1 t. almond extract
2 c. flour
½ t. baking powder
¼ t. salt

Glaze:
1 ½ c. powdered sugar
4-5 tsp. water (room temperature)
1 t. almond extract

Sliced almonds

Combine butter, sugar and almond extract in a bowl. Beat at medium speed, scraping bowl often, until creamy (1-2 min.). Reduce speed to low, and add flour, baking powder and salt. Roll into 1” balls and flatten with the bottom of a glass that has been buttered and sugared. Bake at 400° for 7-9 minutes.
For glaze, mix powdered sugar, water and almond extract. Glaze cookies once completely cooled and put 3 sliced almonds on each.