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Solve Three- and Four-Step Word Problems

Students extend their multistep problem-solving to problems requiring three or four operations. They organize their work clearly, track intermediate results, and use estimation to check the reasonableness of their final answers.

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Solve Three- and Four-Step Word Problems

Grade 4 · Multistep Word Problems · question 1 of 3

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20 rungs. A star at the top.

A van carries 8 crates of 6 jars. 10 more jars are loaded, then 4 jars crack. How many jars are still good?

How it is taught

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A long word problem is a chain of steps.

Each answer is used in the next step.

Read it: One step, then the next

Tom buys 4 packs of 6 stickers, then gives 5 to his sister. First 4 × 6 = 24, then 24 − 5 = 19. He has 19 left.

  1. Find the first thing the story does, and work it out.
  2. Carry that answer into the next step.
  3. Keep going until the story is done: the last answer is the answer.

Each step uses the answer before it, so the order of the story is the order of the steps.

Writing each step on its own line keeps every number in its place.

Stopping after one step answers a different question from the one the story asks.

Work the story one step at a time, and carry each answer into the next step.

Stopping at 24, the first answer.

The story keeps going: 5 stickers are given away, so 24 − 5 = 19.

Ben packs 5 boxes of 8 apples, adds 6 loose apples, then 9 apples go bad. How many good apples are there? — 37. 5 × 8 = 40, then 40 + 6 = 46, then 46 − 9 = 37.

Maya's bike fund (4 steps)

Maya wants a bike that costs two hundred dollars. Let's figure out how much more she needs to save.

She earns fifteen dollars a week for eight weeks of chores, gets forty dollars from her grandma, and spends twenty-five dollars on a gift.

That's four steps: multiply, add, subtract, then subtract again. We'll track each total as we go.

First, chores. Fifteen dollars times eight weeks equals one hundred twenty dollars.

Next, add grandma's gift. One hundred twenty plus forty equals one hundred sixty dollars.

Then subtract the gift she bought. One hundred sixty minus twenty-five equals one hundred thirty-five dollars saved.

Last step: subtract from her goal. Two hundred minus one hundred thirty-five equals sixty-five dollars.

Maya's $200 bike — how much more?What we know• Bike costs $200• Earns $15 per week × 8 weeks• Grandma gives her $40• Spends $25 on a giftPlan: × → + → − → −Step by step1) Chores:$15 × 8 = $1202) + Grandma:$120 + $40 = $1603) − Gift:$160 − $25 = $1354) From goal:$200 − $135 = $65Check: ~120 + 40 − 25 = 135; 200 − 135 = 65 ✓STILL NEEDS$65to reach $200
Grade 4 · Plan, compute, and check a 4-step problem

Let's check. About one twenty, plus forty is one sixty, minus twenty-five is one thirty-five. Two hundred minus that is sixty-five. Reasonable!

Maya still needs sixty-five dollars to buy her bike. Great teamwork!

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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