These double dot cards are meant to be used to strengthen number sense during your math block. Every day I start math with 10-15 min of number sense routines. These cards should be used after you've done some work showing single dot cards and have discussed how to see groups of dots to help find "how many" are on the card without counting. Dot card routines help with subitizing (seeing groups and quantities without counting) which helps to strengthen number sense.
In my room we use these cards after we've done significant work with ten frames, double ten frames, and dot cards to explain the routines and how to look for groups instead of counting individual dots. Also, when using these cards we talk about the concept of addition because we are adding the two groups together to see how many dots "in all."
I ask students to look at the card, and "think-don't blurt" about the answer I'm looking for. I could be using the cards to ask which square has more dots, which has fewer, which is greater or less, or how many dots they see "in all" on both cards. I then ask for a whole class response and then have a few kids come up to explain their reasoning on how they knew the answer. Great discussions that have come from these cards has led us to talking about how we can add more than two groups (6 can be made by 3+3 or by 2+2+2, or 3+1+2) and also how we can "borrow" a dot over to complete a pattern (we might borrow a dot over to complete out a group of 5 and then see that there are 2 left equaling 7 instead of seeing 3 and 4). The kids have done a great job looking for these different ways to complete an array or pattern and then add the remaining dots (either through addition or counting up "5, 6, 7" to find the total)
These cards were created after doing some research using the book Number Sense Routines by Jessica Shumway. The cards were not copied, created by, nor endorsed by the author or publisher. I just felt they could be useful in continuing number sense routines best practices.