Solving Simple Word Problems

Active learning works for solving simple word problems because young students build meaning through concrete actions. When they draw, role-play, or manipulate objects, abstract numbers become real situations they can explain. This hands-on approach reduces confusion between operations and strengthens comprehension of the problem’s story.

• 1st Class
• Foundations of Mathematical Thinking
• 4 activities
• 15 min–30 min

Learning Objectives

1. Calculate the number of items each person receives when sharing a total quantity within 20.
2. Identify the remainder when a quantity cannot be shared equally among a given number of people.
3. Explain the process of solving a word problem by drawing a picture to represent sharing.
4. Compare the results of sharing a quantity in different ways to solve a word problem.

Problem-Based Learning

⏱ 20 min·Pairs

Pair Draw: Story Problem Solver

Provide word problem cards about sharing toys or adding fruits. Partners draw pictures to show the story, solve using counters, and explain their steps to each other. Pairs then create one new problem for the next duo.

Prepare & details

What is happening in this story problem, and what do you need to find out?

Facilitation Tip: During Pair Draw, circulate and ask each pair to explain their drawing before they calculate, ensuring they understand the story first.

Setup: Groups at tables with access to research materials

Materials: Problem scenario document, KWL chart or inquiry framework, Resource library, Solution presentation template

• Analyze
• Evaluate
• Create
• Decision-Making
• Self-Management
• Relationship Skills

Problem-Based Learning

⏱ 30 min·Small Groups

Small Group: Role Play Problems

Give groups props like blocks or teddies matching a word problem script. Students act it out, decide add or subtract, solve with objects, and note remainders. Groups present their skit and solution to the class.

Prepare & details

How do you know whether to add or take away to solve a word problem?

Facilitation Tip: For Small Group Role Play, assign roles clearly so every student participates in acting out the problem’s action.

Setup: Groups at tables with access to research materials

Materials: Problem scenario document, KWL chart or inquiry framework, Resource library, Solution presentation template

• Analyze
• Evaluate
• Create
• Decision-Making
• Self-Management
• Relationship Skills

Problem-Based Learning

⏱ 15 min·Whole Class

Whole Class: Think-Pair-Share Challenge

Display a daily word problem on the board. Students think alone for 2 minutes, pair to discuss and draw solutions, then share strategies with the class. Vote on the clearest picture representation.

Prepare & details

Can you draw a picture to help you solve a word problem about sharing?

Facilitation Tip: In the Whole Class Think-Pair-Share, give 30 seconds of quiet think time before pairing to let students organize their thoughts.

Setup: Groups at tables with access to research materials

Materials: Problem scenario document, KWL chart or inquiry framework, Resource library, Solution presentation template

• Analyze
• Evaluate
• Create
• Decision-Making
• Self-Management
• Relationship Skills

Problem-Based Learning

⏱ 25 min·Individual

Individual: My Word Problem Journal

Students draw or write a personal word problem from home life, like sharing sweets. They solve it with a picture, label the operation, and note any remainder. Collect for a class problem bank.

Prepare & details

What is happening in this story problem, and what do you need to find out?

Setup: Groups at tables with access to research materials

Materials: Problem scenario document, KWL chart or inquiry framework, Resource library, Solution presentation template

• Analyze
• Evaluate
• Create
• Decision-Making
• Self-Management
• Relationship Skills

Teaching This Topic

Teachers approach this topic by modeling how to translate words into pictures or objects, then gradually releasing responsibility to students. Avoid rushing to numbers before the story is clear. Research shows that requiring a visual step first helps students avoid the common mistake of operating on numbers without understanding the context. Use student explanations as the primary assessment of comprehension, not just correct answers.

What to Expect

Successful learning looks like students choosing the correct operation based on the problem’s context, not just keywords. They should explain their reasoning using pictures, counters, or words, and include remainders when items don’t divide evenly. Small-group sharing shows confidence and clarity in their process.

Watch Out for These Misconceptions

Common Misconception

During Pair Draw, watch for students who add whenever they see the word 'more' without considering the problem’s full context.

What to Teach Instead

Ask the pair to read the problem aloud together and point to the part where the 'more' is happening. Then have them draw the two quantities separately before deciding on the operation.

Common Misconception

During Small Group Role Play, watch for students who ignore remainders and say amounts divide evenly.

What to Teach Instead

Hand each group extra counters to represent leftovers and require them to display both the equal share and the remainder physically on the table before writing the answer.

Common Misconception

During Whole Class Think-Pair-Share, watch for students who skip reading the problem and only focus on the numbers.

What to Teach Instead

After sharing, ask peers to verify if the solution matches the story by pointing to the drawing or counters and asking, 'Does this show what the problem asked?'

Assessment Ideas

Exit Ticket

After My Word Problem Journal, collect journals and review the drawings and calculations for one problem. Look for clear visuals showing the problem’s quantities and correct operation choice, including remainders if applicable.

Quick Check

After Small Group Role Play, present a quick problem on the board like 'There are 14 pencils to share equally among 4 students.' Ask groups to hold up their counters showing the equal share and remainder, then call on one group to explain their method.

Discussion Prompt

During Whole Class Think-Pair-Share, pose a problem like 'If 5 cookies are shared among 2 friends, how many does each get?' Listen for students explaining why the answer is 2 with 1 left over, and note who uses counters or drawings to justify their response.

Extensions & Scaffolding

• Challenge students who finish early to create their own word problem using the same numbers but with a different operation, then swap with a partner for solving.
• Scaffolding for struggling students: Provide a sentence starter frame like 'First, ______. Then, ______. Finally, ______.' to guide their thinking.
• Deeper exploration: Introduce problems with three steps, such as combining two groups and then comparing to a third, to extend reasoning skills.

Key Vocabulary

Share	To divide something into equal parts so that each person or group gets the same amount.
Equal parts	When a whole is divided into pieces that are exactly the same size.
Remainder	The amount left over after dividing something into equal parts, when it cannot be divided any further equally.
Word problem	A story that describes a mathematical situation that needs to be solved using numbers and operations.