Strategy 2: Modeling Puzzles with Tape Diagrams
Strategy 2: Modeling Puzzles with Tape Diagrams is a Grade 3 math skill from Eureka Math teaching students to use tape diagrams as a visual problem-solving tool for two-step word problems. A tape diagram uses rectangular bars to represent the parts and the whole in a problem. For two-step problems, it breaks the problem into manageable pieces, identifies what is known and unknown, and clarifies which operations are needed at each step. Third graders learn to draw tape diagrams before writing equations, making the mathematical structure of complex word problems visible.
Key Concepts
A tape diagram is a visual model that uses rectangular bars (tapes) to represent the parts and the whole in a word problem. For a two step problem, the diagram helps you see the relationship between the numbers and break the problem down into two smaller, manageable steps. It helps you identify the knowns, the unknowns, and the operations needed to solve.
Common Questions
What is a tape diagram and how is it used in problem solving?
A tape diagram is a visual model using rectangular bars to represent parts and wholes in a word problem. It helps you see the relationships between known and unknown quantities before writing an equation.
How does a tape diagram help with two-step word problems?
It breaks the problem into two visible parts. You can see which quantities are known, what the unknown is, and what operations connect the parts—making it easier to plan the two steps.
What should you identify before drawing a tape diagram?
Identify the total (the whole), the known parts, the unknown part, and the relationship between them. The diagram translates these relationships into a visual before you write equations.
Give an example of using a tape diagram for a two-step problem.
A class has 3 rows of 6 desks, plus 4 extra desks. Total desks? Draw a tape with 3 equal sections (each labeled 6) plus one extra section (labeled 4). The full tape = (3 × 6) + 4 = 22.
In which textbook is Strategy 2: Modeling Puzzles with Tape Diagrams taught?
This skill is taught in Eureka Math, Grade 3.