Cut the 1-inch thick plywood in two pieces. Ensure that they measure 3 feet by 3 feet each. Once cut, place the two pieces above each other and draw the side panel design on it with chalk. Drawing the side panel is an easy task.
Draw a straight line vertically, leaving a gap of 6 inches from the left edge. Ensure that the line is about 21 inches long.
Draw an upward curve from the point where the 21-inch-long line ends to the left edge of the panel. Once the first curve is drawn, draw another one parallel to it, leaving a gap of 5 inches between the curves toward the right edge.
Draw another straight line parallel to the first line from the top leaving a gap of 5 inches between them. Ensure that the line is only one-third of the first line, i.e. about 7 inches. Make a straight line of about 10 inches long. At the point where this line ends, make another one moving downward about 10 inches long.
Draw similar upward curves identical to the first set. Check that the curves are perfect, as the chair will not rock otherwise.You can perfect the curves by using a pencil attached to a string. Tie the string to the center of the panel and let it swing, drawing a perfect curve.
Use sandpaper to smooth the rough edges, so that the child does not get hurt. Cut the drawn panels with the help of a jig saw.
Take the plywood and cut two 13-inch-by-16-inch slabs, one for the back and another for the seat. Cut 2-inch-by-4-inch slabs to give support to the seat from beneath. Use the chalk to draw a decorative back panel and cut it with a jigsaw.
Keep the seat upside down and affix the 2-inch-by-4-inch slabs with nails for support. Drill two holes on these support slabs through which the nails will be affixed. While fixing the support slab, ensure that both are placed toward the two ends of the seat.
Keep the seat upright and make two holes on each side for affixing the cut outside the panels. Attach both the side panels on each side using the screws. Ensure that the panels are affixed at 90-degree angle, otherwise the chair will not rock. Keep the chair straight and use glue to attach the back panel to the back edge of the seat.
Keep the chair upright to check if all the pieces are affixed properly. In case of doubt, use nails to firm up the parts.