# 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?

• take from
• put together / take apart (PTTA)
• compare

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
bigger
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
bigger 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?

Vocabulary:

• CCSS problem types: add to, take from, put together / take apart (PTTA), compare
• CCSS unknowns: addend, bigger, both addends, change, difference, result, smaller, start, total