Two Step Word Problems Strategy for Grade 3

Master problem-solving strategies: sequential operations, mathematical reasoning, and step-by-step solution techniques.

Strategy Examples
Read and Understand
Strategy Example 1
Problem: "Lisa had 15 stickers. She bought 8 more at the store. Then she gave 6 to her friend. How many does she have now?"
Strategy Definition:

Read and Understand: Carefully read the entire problem to grasp the situation and identify what is being asked.

Implementation:
  1. Read the problem twice
  2. Circle or highlight key numbers
  3. Identify what the question is asking
  4. Notice that this requires two operations
Step 1: Identify the starting amount

Lisa started with 15 stickers

Step 2: Identify the changes

She bought 8 more (addition)
Then gave 6 away (subtraction)

Step 3: Determine the question

"How many does she have now?" means we need the final amount

Two-step process: 15 → +8 → -6 → ?
Understanding:

This is a two-step problem requiring addition then subtraction.

Key Points:

• Slow reading: Don't rush through the problem

• Visual marking: Circle important numbers and words

• Question focus: Always know what you're solving for

Plan and Identify Operations
Strategy Example 2
Problem: "There were 24 students in class. 8 went to the library. Then 6 more came back. How many are in class now?"
Strategy Definition:

Plan and Identify Operations: Determine which mathematical operations are needed and in what order.

24
-
8
=
16
+
6
=
22
Step 1: Identify first operation

"8 went to the library" means subtraction
24 - 8 = 16 students remain

Step 2: Identify second operation

"6 more came back" means addition
16 + 6 = 22 students now

Step 3: Create solution plan

First: Subtract 8 from 24
Second: Add 6 to the result

Plan: (24 - 8) + 6 = 22
Planning:

First operation: subtraction, Second: addition

Key Points:

• Keyword recognition: "went" = subtraction, "came back" = addition

• Sequence awareness: Operations happen in story order

• Connection planning: First result feeds into second operation

Solve Step by Step
Strategy Example 3
Problem: "Tom saved $5 each day for 3 days. Then he spent $8. How much money does he have left?"
Strategy Definition:

Solve Step by Step: Execute operations in order, keeping track of intermediate results.

5×3
=
15
-
8
=
7
Step 1: Calculate total savings

Tom saves $5 per day for 3 days
So: 5 × 3 = $15 saved

Step 2: Calculate remaining money

Tom has $15, spends $8
So: 15 - 8 = $7 left

Step 3: Write the final answer

Tom has $7 remaining

Solution: (5 × 3) - 8 = 7
Solution:

Tom has $7 left after his purchase.

Key Points:

• Sequential execution: Complete first step before starting second

• Result tracking: Write down intermediate answers

• Unit consistency: Keep track of measurement units

Solution Strategies
Check and Verify
Verification Example
Problem: "Sarah read 10 pages Monday, 15 pages Tuesday. Wednesday she read 5 fewer than Tuesday. Total pages?"
Strategy Definition:

Check and Verify: Review your solution to ensure it's correct and makes sense in context.

Step 1: Solve the problem

Monday: 10 pages
Tuesday: 15 pages
Wednesday: 15 - 5 = 10 pages
Total: 10 + 15 + 10 = 35 pages

Step 2: Verify each step

Is 15 - 5 = 10 correct? Yes
Is 10 + 15 + 10 = 35 correct? Yes

Step 3: Check reasonableness

35 pages over 3 days is reasonable for reading

Verification: 35 pages total ✓
Verification:

Answer is mathematically correct and contextually reasonable.

Key Points:

• Calculation verification: Double-check arithmetic

• Logical check: Does the answer make sense?

• Process review: Did you follow all steps correctly?

Alternative Approaches
Alternative Strategy Example
Problem: "A baker made 4 trays of 6 cookies each. Then ate 5 cookies. How many remain?"
Strategy Definition:

Alternative Approaches: Different methods to solve the same problem, building flexibility.

Method 1: Standard approach

Total cookies: 4 × 6 = 24
Remaining: 24 - 5 = 19

Method 2: Visualization approach

Draw 4 groups of 6, cross out 5, count remaining

Method 3: Partial operations

Take 5 from one tray: (6-5) + 6 + 6 + 6 = 19

All methods lead to 19 cookies
Flexibility:

Multiple valid approaches lead to the same answer.

Key Points:

• Method variety: Different approaches suit different learners

• Verification tool: Alternative methods verify answers

• Conceptual understanding: Multiple perspectives deepen comprehension

Problem-Solving Strategy Framework
1
READ
Carefully read the entire problem
2
PLAN
Identify operations needed
3
SOLVE
Execute step by step
4
CHECK
Verify your answer
📖
Read Carefully
Understand what the problem is asking
📝
Identify Operations
Find keywords that indicate math operations
🔢
Solve Step by Step
Complete one calculation at a time
✅
Check Answer
Make sure your answer makes sense
Two Step Problem = First Operation + Second Operation
Problem-Solving Formula
Keywords for Addition
more, total, altogether, increased by
Combine or add amounts
Keywords for Subtraction
less, fewer, left, decreased by
Take away or find difference
Keywords for Multiplication
each, per, times, groups of
Repeated addition or equal groups
Detailed Strategy Summary
Definition and Core Concepts

Two step word problems are mathematical problems that require two separate calculations to find the answer. These problems involve reading a story situation, identifying the mathematical operations needed, and performing calculations in the correct order.

Problem-solving strategy: A systematic approach to tackle mathematical challenges efficiently and accurately, consisting of multiple phases: read, plan, solve, and check.

Problem = (Initial Amount ± Change₁) ± Change₂
General Formula
Key definitions:

Word problem: A mathematical question presented in narrative form

Two-step: Requiring two separate calculations to reach the solution

Strategy: A planned approach to solving problems systematically

Operations: Mathematical actions like addition, subtraction, multiplication, or division

Four-Phase Problem-Solving Method:
  1. READ: Understand the problem completely
  2. PLAN: Decide what operations to use and in what order
  3. SOLVE: Carry out the calculations step by step
  4. CHECK: Verify that your answer is correct and reasonable
Tip 1: Circle or underline important numbers and keywords in the problem.
Tip 2: Draw a simple picture to visualize the problem situation.
Tip 3: Write down the first answer before moving to the second step.
Tip 4: Ask yourself: "Does my final answer make sense in the story?"
Common errors: Forgetting to carry forward the first result, mixing up the order of operations, misreading the question being asked.
Test preparation: Practice identifying keywords, work on sequential thinking, master basic arithmetic operations.
Key strategies to remember:

• Keyword identification: "More" means addition, "less" means subtraction

• Sequential processing: Always solve step 1 before step 2

• Result tracking: Keep the first answer handy for the second step

• Context awareness: Understand the real-world meaning of each operation

• Verification: Check if your answer fits logically in the problem context

Questions & Answers

Question: How can I remember to use the first answer in the second step of a problem?

Answer: This is a common challenge! Here are effective memory strategies:

  • Write it down: Always record your first-step answer on paper
  • Box the result: Draw a box around the intermediate answer to make it stand out
  • Use the result immediately: Don't move too far ahead before using the first answer
  • Verbalize: Say "Now I'll use this answer for the next step" out loud

Think of it like a relay race - the first answer passes the baton to the second step!

Question: My child seems overwhelmed by word problems. How can I help them approach these problems without anxiety?

Answer: Word problem anxiety is common but manageable:

  • Start simple: Begin with one-step problems before advancing to two-step
  • Use familiar contexts: Practice with scenarios your child enjoys (toys, food, games)
  • Break it down: Focus on just one phase at a time (first learn to read, then plan, etc.)
  • Build confidence: Celebrate small successes along the way

Remember that word problems are just stories with math added - your child already knows how to understand stories!

Question: What if I can't figure out which operation to use in a word problem?

Answer: Learning to identify operations takes practice! Here are key strategies:

  • Look for keywords: "total," "altogether," "more" usually mean addition
  • Consider the action: Adding to something means addition, taking away means subtraction
  • Visualize: Imagine the scenario happening in real life
  • Try it out: If uncertain, try the operation and see if the answer makes sense

If someone "gets more" of something, you add. If they "lose" or "give away," you subtract. If there are "equal groups," consider multiplication.