94 ◆ Reasoning About Problems
Figure 6.9 Word Problem Sort
Multiplication
Mark had 7 bags with
7 marbles in each bag.
Marta had shared 12 cookies
with her sister and cousin
equally. How many did each
girl get?
Division
Figure 6.10 Circle the Equation
Maribel had 4 bags and 5 rings in
each bag. How many rings did she
have altogether?
Circle all the correct expressions
that represent this problem.
5 + 5 + 5 + 5 4 + 4 + 4 + 4
4 + 5 4 × 5
Figure 6.11 Equation Match
15 ÷ 3
Circle a story that could match this
expression.
a. There are 15 kids and
they ate 3 apples.
b. There are 18 kids and
they ate 3 apples.
c. Three kids shared 15
apples.
d. Not here.
Matrix Problems
Matrix problems scaffold logical thinking for students. They have a place
to track what they are doing and think about and record all the informa-
tion they are getting. We need to bring back these types of problems into
Concentration Match
There are different versions of concentration match (see Figures 6.10 and
6.11). One version is where the students match the expression to the cor-
rect problem. The other version is the students find the story that goes
with an expression. Students need to be able to write the expression and/
or equation that matches a problem because it shows that they can reason
about the numbers—going from words to numbers. They also need to be
able to reason from the numbers and be able to think about which situa-
tions match this problem (thus going from numbers to words).