I read somewhere that brooder plates don't operate as well when outdoor temp drops into the 40s. I couldn't figure out why that might be, though.
It is because of how much heat they make.
A mother hen keeps her body at the same temperature, no matter how hot or cold the weather is. She can raise chicks in any weather.
A heat lamp puts out large amounts of heat: good in cold places, too much in warm places.
A brooder plate puts out less heat than a heat lamp. That is good for saving electricity, and good in warm places. But in cold conditions, it just does not make enough heat. The cool air is cooling off the plate and the chicks, and the plate cannot produce enough heat to keep up with that.
Check the instructions for your brooder plate, or measure with a thermometer, or sit out there and listen for peeping unhappy chicks. Any of those will tell if the plate you have is warm enough for the chicks you have at the temperatures you have.
Our nighttime temps are in the 40s and 50s. The brooder has two 10"x10" brooder plates for 15 chicks.
Does it also need an ambient heat lamp at night for new chicks (one and two days old)?
If the chicks are shipped, I would add a heat lamp for at least the first day and night. Shipped chicks have had stressful travel, and they are cold and hungry and thirsty all at once. A heat lamp can let them warm up while they are eating and drinking, but a brooder plate does not.
Once they are warm and have eaten a few good meals, the chicks can alternate eating and warming up. But right at first, shipped chicks need everything at once, and a heat lamp makes that possible.
If you are raising chicks that you hatched in an incubator, they may be fine from the very beginning. They have just absorbed the egg yolk, which provides enough food for several days (shipped chicks have used up almost all of this). And they were not chilled and stressed during shipping. So they do not need to warm up from a badly-chilled state, just from a slightly-cool condition after each meal. And they are not almost-starving, so they can eat snacks when they are warm enough and not have a problem.