Roots of Reason
Roots of Reason
rootsofreason.org
turn words into lengths
Anchor Chart · Grades 3-5 · 3.OA.D.8 | 4.OA.A.2

Tape Diagrams

One kind of picture works for every operation. The ? marks the number the problem asks for.
Addition: part + part, whole unknown
90
60
?
90 + 60 = ?
Subtraction: one part is missing
90
?
150
150 − 90 = ?  or  90 + ? = 150
Comparison: "60 more than"
James
90
Emily
90
60
Emily solved 90 + 60 = ?
Multiplication: equal parts, whole unknown
30
30
30
30
30
30
?
30 × 6 = ?
Division: whole known, parts unknown
180
?
?
?
?
?
?
180 ÷ 6 = ?  or  6 × ? = 180
How to Read a Tape
· The whole is one long bar.
· Parts share a bar, side by side. Equal parts are the same length.
· Find where the ? goes in the picture before you compute.
· The same lengths can ask a different question, and a different question needs a different operation.