For this activity, get into pairs.
Grab a whiteboard with your partner. See how many different ways you can represent the idea of "seven".
With your partner, work out how many patterns made of circles and squares you can create using three place values. Each pattern could represent a different piece of information.
Here are two to get you started:
Every pair built their own ordered list of patterns. Let's compare: what is the 7th pattern in your list?
If we all used the same circles and squares, why aren't everyone's 7th patterns the same?
Work with your partner to record all of the possible three-place patterns that use only circles and squares. Try to keep your list in some kind of order, rather than putting patterns down randomly.
Reflect on how you ordered your patterns from one line to the next. Were there any clear rules you followed? If not, redo Challenge 1 with some rules in mind.
Write down the rules for how you listed your patterns. Your rules should be clear enough that another pair could follow them and produce the exact same list.
Use your rules to generate all of the possible four-place patterns using only circles and squares. You may need to add a rule or adjust one slightly to account for the extra place, but try to keep your rules as close to the originals as you can.
How could you use your system to convey information? Think back to what we did last class.
On your own, think about how your circle-and-square system could send a message.
Discuss your idea with your partner and compare approaches.
Be ready to share your idea with the class.
How is counting in this circle-and-square system similar to how we count in everyday life? How is it different?
Answer the reflection question on code.org. Use this link to get there.