The Hidden Question: Solving Two-Step Word Problems
Shared by A STEM Educator
Students will solve two-step word problems within involving addition and subtraction by identifying the hidden intermediate quantity, representing each step with a tape diagram, and writing a two-step equation chain.
Lesson Overview
Students work in random groups at vertical surfaces to discover that some word problems hide a secret middle step. Tasks thin-slice from simple one-step warm-ups through Add-Then-Add, Add-Then-Subtract, Subtract-Then-Add, and comparison structures, culminating in reverse-engineering a story from two tape diagrams.
Materials
- Vertical whiteboards or large chart paper taped to walls
- Dry-erase markers (one per group)
- Erasers or paper towels
- Random grouping cards or name sticks
- Printed Four-Quadrant note-taking half-sheets (one per student)
- Projector or document camera for consolidation
Scaffolded Task Progression
Draw a tape diagram. Write one equation. Circle your answer.
*(This is just Step 1 — one operation only!)*
Step 1 — Hidden Question: How many muffins were there BEFORE the class ate?
Step 2 — Now answer the real question.
Draw TWO tape diagrams (one per step). Write TWO equations.
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