Any of ChurchKey’s cask ales are half-price on Monday night if you’ve purchased a D.C. Beer Week badge. (Fritz Hahn/The Post)

“We wanted to do some kind of passport, like they do with Rickey Month or with other beer weeks that I’ve seen, with a promotion at a bunch of different bar,” explains Greg Jasgur, the beer director at Pizzeria Paradiso. “The idea is that badge gets you way more than $10 worth of savings.”

I bought my badge last night at ChurchKey, where I tried both of the Oxbow Farmhouse Pale Ales ($7, each with different hops) and the Jaipur IPA from England’s Thornbridge Brewery ($9). The check should have been $23 plus tax and tip. Instead, the base amount was $11.50. My badge already paid for itself, and there’s still most of the month to go.

Here’s the list of bars where you can buy a badge and score some discounted beer:

Bier Baron: $2 off all local beers

The Big Hunt: $1 off featured craft beers from 9 p.m. to midnight, Sunday through Thursday.

Bourbon: $8 One Bourbon, One Scotch and One Beer special offered Sunday thru Wednesday. (It’s a choice of a selected bourbon or Scotch paired with one of four local beers on draft for $8.)

Capitol Lounge: $4 Anchor Liberty or Sierra Nevada drafts

Churchkey and Birch & Barley: Half-price cask ales all day Monday

District Chophouse: $2.50 house-brewed beers

Granville Moore’s: $5 Ommegang Belgian Pale Ale

Jack Rose: $2 off drafts on Sunday and Monday

Kramerbooks & Afterwords Cafe: $2 off draft beers from 3 to 8 p.m. Saturday thru Tuesday.

Matchbox: Half-price 10-inch pizzas (one per button per visit)

Meridian Pint: $1 off all DC Brau, Lost Rhino and Port City drafts Sunday through Thursday.

Pizzeria Paradiso: 10 percent off all bottled beers (D.C. locations only)

The Reef: $1 off all drafts Sunday through Thursday

Smoke and Barrel: $1 off all drafts Sunday through Thursday

Tryst: “Happy hour anytime”: Rotating selections of craft beer for $3 to $4.

An extra bonus: Every time you use your button, the bar stamps a passport that can be printed from or cut out of an ad in last week’s Washington City Paper. Anyone who receives stamps from all 15 bars is entered into a drawing for sweet prizes, including a $50 gift certificate from each establishment.

Each of the participating bars has 100 badges to sell — both Pizzeria Paradiso and Bourbon have two locations in D.C. — and Jasgur says that the money raised will be used to “grow D.C. Beer Week to be more than just [events at] craft beer bars. We do a lot of events throughout the week, beer dinners and brewery events, but we [regularly] do two beer dinners at month at Pizzeria Paradiso. We do brewery events and glass giveways every few weeks. We want to make [D.C. Beer Week] so that there are events on the Mall, or at Nationals Stadium or the 9:30 Club — something much bigger.”

This year, those goals include increasing the size of the D.C. Beer Week cruise on the Potomac, which sold out last year, and to help pay for an as-yet-unannounced “grand finale” event.