CCSS problem types and unknowns

Use the Common Core State Standards for Mathematics (p. 88), K-5 Progressions for Operations and Algebraic Thinking (p. 6-21), Mathematics Learning in Early Chilldhood (p. 32-35) to answer the following.

1. What are key traits of the following problem types?

2. Look at the table below consisting of problem types and unknowns. If the type and unknown go together, place a "check" (√).

unknowns add to take from put together /
take apart
compare
addend        
bigger        
both addends        
change        
difference        
result        
smaller        
start        
total        

3. In the above table, write an equation for each unknown for "add to" and "take from" problem types.


4. What grade level (K, 1, 2) are the problem types and unknowns introduced? mastered? See K-5 Progressions for Operations and Algebraic Thinking (p. 6-21).

unknowns add to take from put together /
take apart
compare
addend XXXXX XXXXX   XXXXX
bigger XXXXX XXXXX XXXXX  
both addends XXXXX XXXXX   XXXXX
change XXXXX XXXXX
difference XXXXX XXXXX XXXXX
result XXXXX XXXXX
smaller XXXXX XXXXX XXXXX
start XXXXX XXXXX
total XXXXX XXXXX XXXXX

5. Based on grade level expectations, what are types and unknowns are easiest for children? most difficult? Why?


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