Grade 2Adding and Subtracting within 1002.OA.A.1

Two-Step Word Problems

Solve stories that need two steps.

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Some stories need two steps. First find a number the story doesn’t tell you. Then use it to answer the question. Each step is a one-step problem like the ones in Word Problems within 100.

Worked example: Shells

Mia has 24 shells. Leo has 9 more shells than Mia. How many shells do they have together?
  1. Step 1: how many does Leo have? 24 + 9 = 33.
  2. Step 2: put both together: 24 + 33 = 57.

Answer: 57 shells

Step 1 finds Leo’s 33 shells. Step 2 adds Mia’s 24. Press “Next step”.

Why it works

The question asks about both children, but the story only tells you how many Mia has. You need Leo’s number before you can answer. That hidden middle number is what step 1 finds.

Worked example: A bus

A bus has 35 people. At the first stop, 12 people get off and 8 get on. How many people are on the bus now?
  1. Step 1: 12 get off: $35 - 12 = 23$.
  2. Step 2: 8 get on: $23 + 8 = 31$.

Answer: 31 people

Key idea

In a two-step problem, find the hidden middle number first, then answer the question that was asked.

Common mistake

Stopping after step 1. In the shells story, 33 is Leo’s number, not the answer. Check: read the question again. It asks about both children, so the answer must be more than either child’s number.
Grown-up tip: Before any math, ask, “What do we need to know first?”

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 2 XP.

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Builds on

Leads to

This is one of the top rungs of Grade 2.

Sources and further reading

  • Common Core State Standards for Mathematics, Grade 2, standard 2.OA.A.1 (use addition and subtraction within 100 to solve one- and two-step word problems)
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