In the figure here, there is an LED strip (https://www.adafruit.com/product/306) interfaced to the SPI interface of the Raspberry Pi add on hardware using the Adafruit Cobbler (https://www.adafruit.com/product/914). We are providing a clue on how to interface the LED strip to the Raspberry Pi Zero. We would like to see if you are able to find a solution to interface the LED strip by yourself. Refer to this book's website for the answer.
LED strip interfaced with the Adafruit Cobbler for the Raspberry Pi Zero