Some Americans face economic ruin with government aid set to end. Masks become a flash point for businesses, and the C.D.C. proposes changes that would remake the workplace.

Here’s what you need to know:

The simplest way to track the progress of any outbreak is by seeing how many new cases and deaths are reported in a given area each day. And in the United States, falling numbers in some of the hardest-hit places have offered glimmers of hope. Totals for the country have been on a downward curve, and in former hot spots like New York and New Jersey, the counts appear to have peaked.

But infections and deaths are rising in more than a dozen states, as they are in countries around the world, an ominous sign that the pandemic may be entering a new phase.

Wisconsin saw its highest single-day increase in confirmed cases and deaths this week, two weeks after the state’s highest court overturned a stay-at-home order. Cases are also on the rise in Alabama, Arkansas, California and North Carolina, which on Thursday reported some of the state’s highest numbers of hospitalizations and reported deaths since the crisis began.

In metropolitan areas like Fayetteville, Ark.; Yuma, Ariz.; and Roanoke and Charlottesville, Va., data show new highs may be only days or weeks away.