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?

add to
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
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?

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