Most Alpine resorts hide their mountain behind lifts and hotels. Zermatt does the opposite: the whole village points at one shape, the Matterhorn, 4,478 m high. Until the middle of the nineteenth century this was a farming community, and what changed it was the first ascent on 14 July 1865, a triumph that cost the lives of four of the seven climbers on the way down. The snapped rope from that day lies in the village museum, and the climb pulled in mountaineers, hoteliers and later skiers. Zermatt is car-free: private cars stop at Tรคsch, 5 km down the valley, and a shuttle train covers the last 12 minutes. Today the lifts are run by Zermatt Bergbahnen.
That premium comes with real mountain. The ski area has three sub-areas on the Swiss side, a glacier at nearly 3,900 m, and a cable car link to Italy, where Breuil-Cervinia adds a second big ski area. It is a big, mostly red mountain, so four ski days are plenty and nobody runs out of terrain. The other day is the one that makes the week a Zermatt week and not just a ski week: the old village, the graves of mountaineers, the museum and a fondue. The Gornergrat railway and the viewpoints also work for anyone in the group who doesn't ski.
The plan: day one is the village and the museum, day two the sunny Sunnegga and Rothorn side, day three Gornergrat and Riffelberg, day four Schwarzsee and the glacier at Matterhorn Glacier Paradise, and day five the ski trip over the border to Cervinia, which needs the International pass. That makes four days on skis. It's a good first look at Switzerland in the mountains. Start on a Monday: you arrive after the weekend, Saturday (when children under 16 ski free with the Zermatt pass) stays out of your week, and the long Cervinia day lands on a Friday, with the weekend as a weather reserve. Days one, two, three and four also work in summer, when the lifts carry walkers and the glacier offers skiing until midday; day five works in summer as a cable car crossing, not on skis.