It's summer. It's sunny. Your kids need some shade.
Let me suggest Williams Park in north Raleigh. Portions of the park's playground, built in 2008, are covered with trees. But you'll also find large tarps over the play set, which includes ten slides and other places to climb.
Not all of the park's playground is shaded. The swings and sand area get pretty hot. But you will find a covered picnic shelter with restrooms here and a collection of benches under some tall trees right off the playground. Playground Review: Raleigh's Williams Park
The surface under the play equipment is mulch. Williams has tennis courts and athletic fields. A parking lot sits next to the playground.
Williams Park, a city park, sits next to Lynn Road Elementary School, which has a playground of its own within sight of the city's playground. With its newer and unusual play pieces for grade schoolers, it's a nice alternative once your older kids are done sliding and swinging (when school is not in session). Alas, there's no shade over the school's playground.
For a closer look, watch the video. Williams Park is found at 1525 Lynn Rd., Raleigh.