4th Grade Multistep Word Problems Lesson: Notes and Examples (Free PDF)

4th grade multi step word problems lesson – Maths PDF

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This 4th grade multi step word problems lesson covers multistep word problems (Common Core 4.OA.A.3), with a free PDF to print.

Key takeaway: This lesson helps fourth grade students solve word problems that need two or more operations.

Topic: Multistep Word Problems (4th grade)
Content: One-page lesson with a definition, a worked example and key facts
Standards: 4.OA.A.3
Answers: Explanations included
Format: Free printable PDF, US Letter, black and white

A multistep word problem takes two or more operations to solve. Draw a bar model and use a letter for the unknown. Solve one step at a time, such as 6 × 24 = 144 and then 144 − 37 = 107. Decide what to do with any remainder, and use estimation to check that your answer is reasonable.

This lesson helps fourth grade students solve word problems that need two or more operations. It shows how to split a long story into small steps, so each step has one clear question.

Students learn to find the first step, to write an equation with a letter for the unknown, and to track units. They also learn to decide what a remainder means and to use estimation as a check. Also, plan about 25 minutes. Then, work each example on paper, and write one sentence for each step.

Grade 4 · Common Core State Standards: 4.OA.A.3

Key facts in this 4th grade multi step word problems lesson

Key facts

A multistep problem uses two or more of the four operations.
Next, use a letter for the unknown and write an equation, such as b = 6 × 24 − 37.
Solve one step at a time and write units with each answer.
Interpret a remainder by rereading the question: drop it, round up, or use it as the answer.
Check with estimation by rounding the numbers and doing the same steps.

What is a multistep word problem?

A multistep problem needs more than one operation. You might multiply first, then subtract. Each step answers a smaller question that leads to the final answer.

Equation with a letter

Use a letter to stand for the unknown. For example, if b is the number of bottles used, write \(b = 6 \times 24 – 37\). Then solve the steps in order.

A reliable plan for every multistep problem.

How do you solve one step at a time?

Read the problem twice. Draw a picture or bar model, then work out each step.

Six boxes of 24 bottles is 144 bottles. Subtract the 37 that are left to find how many were used.

Find the total bottles: \(6 \times 24 = 144\).
Subtract the bottles that are left: \(144 – 37 = 107\).
Write the answer with units: 107 bottles were used.

Jamal’s soccer club bought 6 boxes with 24 water bottles in each box. After the tournament, 37 bottles were left. The one equation \(b = 6 \times 24 – 37\) has both steps.

What do you do with a remainder?

Read the question to decide. A remainder does not always become part of the answer.

Three ways to handle a remainder, depending on the question.

Drop it: \(50 \div 8 = 6 \text{ R } 2\). Only 6 full boxes can be filled.
Round up: \(94 \div 7 = 13 \text{ R } 3\). Three people still need a ride, so 14 vans are needed.
Use it: The question asks how many are left over. The answer is the remainder, 3.

How can estimation check your answer?

Round the numbers and do the same steps. If your exact answer is close to the estimate, it is reasonable. If it is far away, look for a mistake.

The exact total is 844. The estimate 4 × 200 + 50 = 850 is close, so the exact answer is reasonable.

Order matters in a multistep problem. Multiply or divide before you add or subtract, unless the story tells you otherwise.

4th grade multi step word problems lesson: questions and answers

What is a multistep word problem?

It is a story that needs more than one calculation to answer. For example, you may multiply to find a total and then subtract to see how many are left.

How do you write an equation with a letter?

Choose a letter, such as b, for the unknown. Then write the steps with numbers and operations: b = 6 × 24 − 37. Solve it by doing multiplication before subtraction.

What should you do with a remainder?

Reread the question. If you need full groups only, drop the remainder. Also, if everyone needs a seat or a box, round up. If the question asks for what is left, the remainder is the answer.

How does estimation help with multistep problems?

It shows whether your answer makes sense. Round each number, do the same steps, and compare. If 4 × 198 + 52 is about 850, an exact answer of 844 is reasonable.

Why do I solve one step at a time?

Small steps are easier to check, and each answer answers a smaller question. Writing each step also helps a teacher see your thinking.

Common mistakes with this 4th grade multi step word problems lesson

Students grab two numbers and do one operation. Instead, read the whole story, then list every question the story hides before you calculate.
Students answer the middle question and stop. Check the last sentence, because it tells you which quantity the problem really wants.
Students ignore the order of operations in an equation. First multiply or divide, then add or subtract, unless parentheses say otherwise.

How to study this chapter

Draw a quick bar model or a list of steps. Finally, a picture shows which amount is the total and which amount is a part.
Estimate before you solve. If your exact answer is far from the estimate, you probably skipped a step.
Parents can ask the child to retell the story in their own words before solving. A clear retelling often shows the first step.

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