Roots of Reason
Roots of Reason
rootsofreason.org
the question inside the question
Anchor Chart · Grade 3 · 3.OA.D.8

Two-Step Word Problems

The class needs 120 cans for the food drive. 8 students each bring 9 cans.
How many cans does the class still need? Every panel below is this one problem.
1Find the Hidden Question
step 1 hidden
How many cans did the 8 students bring?
8 × 9 = 72
step 2 asked
How many cans does the class still need?
120 - 72 = 48
Two steps means two questions. The one they ask you sits on top of one they do not.
2Draw Both Parts
120 cans in all72brought incstill needed8 × 9 = 72120 - 72 = c
One whole, two parts. Drawing the bar decides the operations for you, so no keyword has to.
3Write One Equation
120 - 8 × 9 = c
no parentheses, so the multiplying happens first
120 - 72 = c
c = 48 cans
The letter holds the answer's place until you find it. The same problem also reads 8 × 9 + c = 120.
4Check That It Is Reasonable
8 × 9 is close to 8 × 10 = 80so 120 - 80 is about 40040801204872an answer near 40 is reasonable72 is one step short
Rounding first tells you roughly where to land. An answer of 72 is the first step, stopped too soon.