This fully tech edited hat pattern is written for 4 sizes, and includes both charted and written directions for both the main lace section and the crown decreases.

This pattern also includes a link to a tutorial on how to work a yarn over between a knit and purl as well as between a purl and knit stitch.

Yarn
120 (135, 150, 160) yards / 110 (123, 137, 146) meters, 46 (52, 58, 62) grams / 1.6 (1.85, 2, 2.2) ounces of DK weight yarn. Shown in Adult Medium using Mountain Meadow Wool Alpine DK,Teal, 0.58 skeins

Needles
US3 (3.25mm) 16 inch (40cm) circular knitting needle
US5 (3.75mm) 16 inch (40cm) circular knitting needle and dpns
Adjust needle size for correct gauge

Notions
7 (8, 9, 10) stitch markers, cable needle, tapestry needle

Gauge
22 stitches and 32 rows over 4 inches/ 10 centimeters in Cable + Lace pattern in the round on larger needles

To Fit
Child (Adult Small, Adult Medium, Adult Large) to accommodate a 17.5 (19.75, 22, 24) inch / 44.5 (50, 55.75, 61) centimeter head circumference

Finished Measurements
15.25 (17.5,19.75, 21.75) inches / 38.75 (44.5, 50, 55.25) centimeters in circumference