Common Core Standards and a FOSS game: Massachusetts 1.0A

One of the most exciting points of  my Humanitarian FOSS class is getting to make educational games using the Common Core standards.  Our class is working on the math curriculum, 4th grade or younger, and I'll be working with Liam Middlebrook and Brian Escriche.

For this assignment my team and I are looking at section 1.0A - this section deals with introductory math for 1st graders.

Both Massachusetts and New York have almost identical math criteria for this section, which is nice.

• Represent and solve problems involving addition and subtraction
• Understand and apply properties of operations and the relationship between addition and subtraction
• Add and subtract within 20
• Work with addition and subtraction equations

Massachusetts adds one additional requirement as a sub-point to addition and subtraction equations:

• Write and solve number sentences from problem situations that express relationships involving addition and subtraction within 20. 

Our game won't be addressing number sentences.  We'll mostly be focusing on the second and third points, understanding the properties of addition and subtraction and how they relate to each other, and performing subtraction and addition within constraints of 0 to 20.